are In the figure, trangle ABC and trangle DEF dentical right-angled trangles area of the shaded part 84 cm². Find the total of the area unshaded part, DF 15cm AB 3cm
Answers
Answer:
express the following ratio scale of statement scale 1.25
Related Questions
5. The area of a face of a cube is 36 In squared .
What is the volume of the cube?
Answers
Answer:
The answer is 216 cubic inch
Step-by-step explanation:
Given;Area of a face of a cube is 36 square inchTo Find;Volume of cubeFormula;Surface area of cube = l²Now,
l² = 36
l = √36 inch
l = 6 inch
Here, The side of cube is 6 inch.
Now, Formula of Volume = V = l³
V = 6³
V = 6 × 6 × 6 inch
V = 216 cubic inch
Thus, The volume of the cube is 216 cubic inch.
-TheUnknownScientist 72
This graph shows a proportional relationship.
What is the constant of proportionality?
Answers
The constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.
A proportional relationship is a mathematical equation that expresses two variables that are in proportion to one another. In this type of relationship, if one variable is multiplied by a certain constant factor, then the other variable will be multiplied by the same constant factor. For example, if the cost of 3 books is $15, then the cost of 6 books will be $30. In this case, the number of books and the cost of the books are in proportion to one another.
The constant of proportionality is the constant factor by which the two variables are multiplied to obtain each other. In other words, it is the ratio between the two variables that remain constant in a proportional relationship. It can be represented by the letter k, and is calculated by dividing one variable by the other.
To find the constant of proportionality from a graph, we need to look at the slope of the line. The slope is the ratio between the change in the y-values and the change in the x-values, which is also known as the rise over run. If the graph shows a proportional relationship, then the slope will remain constant throughout the graph.
For example, if the graph shows the relationship between the number of hours worked and the amount of money earned, and the slope is 10, then the constant of proportionality is 10. This means that for every hour worked, the person earns $10. The equation for this proportional relationship can be written as y = 10x, where y represents the amount of money earned and x represents the number of hours worked.
In conclusion, the constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.
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what is answer to this question please help
Answers
Answer:
5 > \(\sqrt{18\)
Step-by-step explanation:
The square root of 18 is approximately 4.24.
5 is greater than 4.24, so we can use the inequality sign >.
Describe the slope of the line
Find the slope
m=??
Answers
Slope formula (y2-y1)/(x2-x1) ride over run (4+3)/(5-2) = answer: 7/3 or 2 1/3
Answer: 2.333333...
Step-by-step explanation:
If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that \(m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...\)
how would you draw a distance vs time graph for this problem:
It is now 8:59 am, but when the bell rings at 9:00 am Suzette will be late
for Science class for the third time this week. She must get from one side
of the school to the other by hurrying down three different hallways. She
runs down the first hallway, a distance of 35.0 m, at a speed of 3.50 m/s.
The second hallway is filled with students, and she covers its 48.0 m
length at an average speed of 1.20 m/s. The final hallway is empty, and
Suzette spring its 60.0 m length at a speed of 5.00 m/s
a. Determine if Suzette makes it to class on time by finding
how many seconds she arrives before or after the bell.
Answers
To draw a distance vs time graph for this problem, we would plot the distance on the y-axis and time on the x-axis. We would start at time t = 0, which is 8:59 am, and plot the distance that Suzette has traveled up to that point.
How to do?
For the first hallway, Suzette runs 35.0 m at a speed of 3.50 m/s. This means she covers this distance in 10 seconds (35.0 m / 3.50 m/s). So at t = 10 seconds, we would plot a point on the graph at a distance of 35.0 m.
For the second hallway, Suzette covers 48.0 m at an average speed of 1.20 m/s. This means it takes her 40 seconds (48.0 m / 1.20 m/s) to cover this distance. So at t = 50 seconds, we would plot a point on the graph at a distance of 83.0 m (35.0 m + 48.0 m).
For the final hallway, Suzette covers 60.0 m at a speed of 5.00 m/s. This means she covers this distance in 12 seconds (60.0 m / 5.00 m/s). So at t = 62 seconds, we would plot a point on the graph at a distance of 143.0 m (35.0 m + 48.0 m + 60.0 m).
To determine if Suzette makes it to class on time, we need to find how many seconds she arrives before or after the bell, which rings at t = 60 seconds. Suzette arrives at t = 62 seconds, which means she is 2 seconds late for class.
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A sign in a bakery gives these options:
12 cupcakes for $29
24 cupcakes for $56
50 cupcakes for $129
a. Find each unit price to the nearest cent.
Answers
The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.
Define unitary methοd.Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.
Here,
We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:
Twelve cupcakes:
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> Unit cοst: $29 fοr 12 cupcakes.
=> $2.42 is the unit cοst per cupcake.
Tο make 24 cupcakes:
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> 24 cupcakes equals $56 fοr the unit.
=> $2.33 is the unit cοst per cupcake.
50 cupcakes =
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> $129 fοr a unit οf 50 cupcakes.
=> Unit cοst: $2.58 fοr each cupcake
As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.
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These are Questions/answers for #1, 2, 3, 17, 18, 19 & 20 if you can't see what it says in the picture (Please answer all questions in correct order)
#1.Given w = −96i −180j, what are the magnitude and direction of −4w? Round the answers to the nearest whole number.
204; 62°
816; 62°
204; 242°
816; 242°
# 2. A basketball player shoots a free throw, where the position of the ball is modeled by x = (24cos 48°)t and y = 6.1 + (24sin 48°)t − 16t 2. What is the height of the ball, in feet, when it is 13 feet from the free throw line? Round to three decimal places.
10.053
10.292
10.673
11.025
#3.Vectors u and v are shown on the graph.
vectors u and v share an initial point and vector u points down 8 units and vector v points to the right 6 units
Which of the following vectors represents u + v? (Please put/show a graph if you can)
17.What are the magnitude and direction of u + v + w? Round the magnitude to three decimal places and the direction to the nearest degree.
53.241; 355°
52.822; 355°
53.241; 5°
52.822; 5°
#18. Which point represents z1 + z2?
P
Q
R
S
Question 19. A barge is being towed by two tugboats, using ropes with force vectors as shown.
Two vectors named F sub 1 and F sub 2 that share an initial point from the barge each pointing to a different tugboat
Given vector F sub 1 equals open angled bracket 12000 comma 7000 close angled bracket and vector F sub 2 equals open angled bracket 14500 comma negative 5000 close angled bracket comma what is the angle between the ropes? Round to the nearest degree.
31°
33°
49°
54°
Question 20.Given v = 8i − 3j and w = −12i + 4j, find 7v − 2w.
−80i − 29j
−80i + 29j
80i − 29j
80i + 29j
Answers
Answer:
See below for answers and explanations (along with a graph for #3)
Step-by-step explanation:
Problem #1
Applying scalar multiplication, \(-4w=-4\langle-96,-180\rangle=\langle384,720\rangle\).
Its magnitude would be \(||-4w||=\sqrt{384^2+720^2}=816\).
Its direction would be \(\displaystyle\theta=tan^{-1}\biggr(\frac{720}{384}\biggr)\approx61.927^\circ\approx62^\circ\).
Thus, B) 816; 62° is the correct answer
Problem #2
Find the time it takes for the ball to cover 13ft:
\(x=(24\cos48^\circ)t\\13=(24\cos48^\circ)t\\t\approx0.8095\)
Find the height of the ball at the time it takes for the ball to cover 13ft:
\(y=6.1+(24\sin48^\circ)t-16t^2\\y=6.1+(24\sin48^\circ)(0.8095)-16(0.8095)^2\\y\approx10.053\)
Thus, A) 10.053 is the correct answer
Problem #3
We have \(u=\langle0,-8\rangle\) and \(v=\langle6,0\rangle\) as our vectors. Thus, \(u+v=\langle0+6,-8+0\rangle=\langle6,-8\rangle\). Attached below is the correct graph. You can also solve the problem visually by using the parallelogram method where the resultant vector is the diagonal of the parallelogram.
Problem 4 (#7)
\(\displaystyle t \cdot v=(7)(-10)+(-3)(-8)=-70+24=-46\)
Thus, C) -46 is the correct answer
Problem 5 (#8)
Find \(r\) and \(\theta\):
\(r=\sqrt{x^2+y^2}=\sqrt{2^2+(-8)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}\approx8.246\)
\(\displaystyle\theta=tan^{-1}\biggr(\frac{y}{x}\biggr)=tan^{-1}\biggr(\frac{-8}{2}\biggr)\approx-75.964^\circ\)
Find the true direction angle accounting for Quadrant IV:
\(\theta=360^\circ-75.964^\circ=284.036^\circ\)
Write the complex number in polar/trigonometric form:
\(z=8.246(\cos284.036^\circ+i\sin284.036^\circ)\)
Thus, C) 8.246(cos 284.036° + i sin 284.036°) is the correct answer
Problem 6 (#12)
Eliminate the parameter and find the rectangular equation:
\(x=3t\\\frac{x}{3}=t\\ \\y=t^2+5\\y=(\frac{x}{3})^2+5\\y=\frac{x^2}{9}+5\\9y=x^2+45\\0=x^2-9y+45\\x^2-9y+45=0\)
Thus, D) x^2-9y+45=0 is the correct answer
Problem 7 (#13)
Find the magnitude of the vector:
\(||v||=\sqrt{(-77)^2+36^2}=85\)
Find the true direction of the vector accounting for Quadrant II:
\(\displaystyle \theta=tan^{-1}\biggr(\frac{36}{-77}\biggr)\approx-25^\circ=180^\circ-25^\circ=155^\circ\)
Write the vector in trigonometric form:
\(w=85\cos155^\circ i+85\sin155^\circ j\)
Thus, D) w=85cos155°i+85sin155°j is the corrwect answer
Problem 8 (#15)
\(\frac{z_1+z_2}{2}=\frac{(3-7i)+(-9-19i)}{2}=\frac{-6-26i}{2}=-3-13i=(-3,-13)\)
Thus, C) (-3,-13) is the correct answer
Problem 9 (#16)
Treat the golf ball and wind as vectors:
\(u=\langle1.3\cos140^\circ,1.3\sin140^\circ\rangle\) <-- Golf Ball
\(v=\langle1.2\cos50^\circ,1.2\sin50^\circ\rangle\) <-- Wind
Add the vectors:
\(u+v=\langle1.3\cos140^\circ+1.2\cos50^\circ,1.3\sin140^\circ+1.2\sin50^\circ\rangle\approx\langle-0.225,1.755\rangle\)
Find the magnitude of the resultant vector:
\(||u+v||=\sqrt{(-0.225)^2+1.755^2}\approx1.769\)
Find the true direction of the resultant vector accounting for Quadrant II:
\(\displaystyle \theta=\tan^{-1}\biggr(\frac{1.755}{-0.225}\biggr)\approx-82.694^\circ\approx-83^\circ=180^\circ-83^\circ=97^\circ\)
Thus, B) 1.769 m/s; 97° is the correct answer
Problem 10 (#17)
Identify the vectors and add them:
\(u+v+w=\langle50\cos20^\circ,50\sin20^\circ\rangle+\langle13\cos90^\circ,13\sin90^\circ\rangle+\langle35\cos280^\circ,35\sin280^\circ\rangle=\langle50\cos20^\circ+13\cos90^\circ+35\cos280^\circ,50\sin20^\circ+13\sin90^\circ+35\sin280^\circ\rangle=\langle53.062,-4.367\rangle\)
Find the magnitude of the resultant vector:
\(||u+v+w||=\sqrt{53.062^2+(-4.367)^2}\approx53.241\)
Find the true direction of the resultant vector accounting for Quadrant IV:
\(\displaystyle \theta=\tan^{-1}\biggr(\frac{-4.367}{53.062}\biggr)\approx-4.705^\circ\approx-5^\circ=360^\circ-5^\circ=355^\circ\)
Thus, A) 53.241, 355° is the correct answer
Problem 11 (#18)
We observe that \(z_1=-8-6i\) and \(z_2=4-4i\), hence, \(z_1+z_2=(-8-6i)+(4-4i)=-4-10i\)
Thus, Q is the correct answer
Problem 12 (#19)
Find the dot product of the vectors:
\(F_1\cdot F_2=(12000*14500)+(7000*-5000)=174000000+(-35000000)=139000000\)
Find the magnitude of each vector:
\(||F_1||=\sqrt{12000^2+7000^2}=1000\sqrt{193}\\||F_2||=\sqrt{14500^2+(-5000)^2}=500\sqrt{941}\)
Find the angle between the two vectors:
\(\displaystyle \theta=\cos^{-1}\biggr(\frac{F_1\cdot F_2}{||F_1||||F_2||}\biggr)\\ \theta=\cos^{-1}\biggr(\frac{139000000}{(1000\sqrt{193})(500\sqrt{941})}\biggr)\\\theta\approx49.282^\circ\approx49^\circ\)
Thus, C) 49° is the correct answer
Problem 13 (#20)
Using scalar multiplication, \(7v-2w=7\langle8,-3\rangle-2\langle-12,4\rangle=\langle56,-21\rangle-\langle-24,8\rangle=\langle56-(-24),-21-8\rangle=\langle80,-29\rangle=80i-29j\)
Thus, A) -80i - 29j is the correct answer
I would greatly appreciate if you could solve this 4 me. Thank you!
Answers
Answer:
B would be your Answer
Step-by-step explanation:
There are three 2s, one 2 1/4, three 2 1/2, two 2 3/4, and one 3 (which is all displayed on B).
Hope this helped :)
An aeroplane flies from A to B at the rate of 500km/hr and comes back from B to A at the rate of 700km/hr. What is the average speed of the aeroplane? By using mean formula.
Answers
Answer:
600 km/hr
Step-by-step explanation:
We'll use the mean formula, which is the sum of terms over the number of terms.
For this question, the sum of the terms is (500+700), and the number of terms is 2.
So the average speed is
\(\frac{500+700}{2}\\\\=\frac{1200}{2}\\\\=600\)(km/hr)
Angle Pairs Introduction
1. A shirt is priced $24.99. and is on sale for 20% off and subject to 5% sales tax.
final cost of the shirt?
I
Answers
Answer:
$20.99
Step-by-step explanation:
The sale causes the original price to be multiplied by 1 - 20% = 80%. The tax causes the sale price to be multiplied by 1 + 5% = 105%. The net effect is that the original price is multiplied by the product of these values:
final cost = $24.99(0.80)(1.05) = $20.99
Team Jake gets 4 questions correct. Use the expression 7x - 30 to find Team Jake's total score.
Answers
Answer:
2x+2y
Step-by-step explanation:
Is a number that can be dividened evenly by itself and by 1 not by any other number
Answer:
-2
Step-by-step explanation:
7x - 30 = 7(4) - 30 = 28 - 30 = -2.
hope this helps.
Please help I am so lost thank you so much
Answers
The speed of the plane is equal to 120 mph.
What is speed?In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).
Mathematically, the speed of any a physical object can be calculated by using this formula;
Speed = distance/time
Time = distance/speed
Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;
240/s = 80/s - 80
80s = 240s - 19200
19200 = 160s
s = 19200/160
s = 120 mph.
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El numeral 32012(4) representado en el sistema decimal, porfavor
Answers
Answer: El número es 902 en el sistema decimal.
Step-by-step explanation:
Supongo que tenemos el número:
32012 en base 4, y lo queremos representar en base decimal.
Entonces, usando la regla general, podemos escribir este número como:
unidades*base^0 + decenas*base^1 + centenas*base^2......
Es decir, acá tenemos:
2*4^0 + 1*4^1 + 0*4^2 + 2*4^3 + 3*4^4 = 902
El número es 902 en el sistema decimal.
Sketch and label a net of the right triangular prism. Each square on the grid represents
1 square centimeter. Calculate the surface area of the prism by using its net.
Answers
The total surface area of the prism is determined as 216 cm².
What is the surface area of the prism?The surface area of the prism is calculated by applying the following formula.
The area of the two triangular faces is calculated as follows;
Area of the two triangles = 2 (¹/₂ x base x height )
Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )
Area of the two triangles = 24 cm²
The area of rectangular faces is calculated as follows;
A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )
A = 192 cm²
The total surface area of the prism is calculated as follows;
Area = 24 cm² + 192 cm²
Area = 216 cm²
The sketch of the triangular prism is in the image attached.
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What IS
the scale factor of this dilation?
Answers
Answer:
3
Step-by-step explanation:
out of 2 we need to create 2+4=6
and out of 3 we need to create 3+6=9.
2×f = 6
f = 6/2 = 3
and it fits also in the other relation
3×f = 3×3 = 9
perfect.
Find the sum of 0.45 and .5 using the fraction approach.
Answers
Answer:
\(\frac{19}{20}\)
Step-by-step explanation:
0.45 can be written as \(\frac{9}{20}\) in fractional form and 0.5 can be written as \(\frac{1}{2}\).
Whenever adding fractions you need like bases. To do this, multiply the 0.5 fraction by 10/10. This would get you \(\frac{10}{20}\).
Adding fractions:
\(\frac{9}{20} + \frac{10}{20}\) ** only add the numerators and leave the denominator as is
= \(\frac{19}{20}\)
Spot the difference
Find anything that 3 of the 4 image's have in common, and write why the 4th is different from the other 3
Answers
This is because B,C, and D all have exponents while A does not.
Una sala de cine de New York vende las entradas para niños a 3 dólares y las de los adultos a 5 dólares. Si para ver una película pueden ingresar tanto niños como adultos y en un día
ingresan 345 espectadores, recaudando por concepto de venta de boletas 1365 dólares. Se
puede afirmar que el número de niños y adultos que ingresaron fue:
Answers
A la sala de cine ingresaron 180 niños y 165 adultos.
¿Cuántos niños y adultos ingresaron a una sala de cine?
De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:
3 · x + 5 · (345 - x) = 1365
Donde x es el número de niños que asistieron a la sala de cine.
Ahora despejamos la variable correspondiente mediante propiedades algebraicas:
3 · x + 1725 - 5 · x = 1365
1725 - 2 · x = 1365
2 · x = 1725 - 1365
2 · x = 360
x = 180
Ahora, el número de adultos es:
y = 345 - 180
y = 165
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Rolex wrote a check for $45 the next day he wrote a check for $32 use an integer to ExpressCare change in his bank balance when the two checks for cashed
Answers
Answer:-77
Step-by-step explanation:
Which theorem can be used to show that △JKL ~ △MNP?
Answers
In this case the answer would be the last option
because it is shrunk by 2/3 on just the x side
D is the only one who has that first transformation
By a theorem of similarity, it can be shown that △JKL ~ △MNP.
What is the similarity?Similar figures are those figures which are identical in shape, but not necessarily in size.
Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.
Another example is all circles are similar circles.
The ratio of corresponding sides of similar objects is always the same.
Any two triangles will be similar if the ratio of their corresponding side is same.
If △JKL ~ △MNP then their corresponding side ratio will definitely same.
If corresponding side is same order in JKL and MNP then,
JK/KL = MN/NP
Hence "By a theorem of similarity, it can be shown that △JKL ~ △MNP".
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Please Help :))
Find the value of x in each pair of similar figures
Answers
Answer:
21
Step-by-step explanation:
set up proportion and solve
18/12=x/14 (cross multiply)
252=12x
21=x
The brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. Use the
given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or
significantly high. For such data, would a brain volume of 1386.4 cm³ be significantly high?
Answers
If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.
How to find the lower and upper limits?Mean = 1085.2 cm³
Standard deviation = 125.6 cm³
Hence,
Lower limit = Mean - 2 x Standard deviation
Lower limit =1085.2 - 2 x 125.6
Lower limit =1161.2 - 251.2
Lower limit =910
Upper Limit = Mean + 2 x Standard deviation
Upper Limit = 1161.2 + 2 x 125.6
Upper Limit =1161.2 +251.2
Upper Limit =1412.4
The limit of values is from 910 to 1412.4.
A value below 910 will be is considered low and a value above 1412.4 will be considered high
Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.
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Name one pair of congruent sides. A. Segments PR and SV B. Segments QR and ST C. Segments RP and TS D. Segments PQ and VS
Answers
Answer:
Step-by-step explanation:Base on the diagram, and the following question, the following are the answers to your question.
#1 Congruent Angle
#2 Congruent Sides
#3 Side Angle Side
I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification
On the past two quizzes, a student scored a 75 and 83. Write and solve a compound inequality to find the possible values for the 3rd quiz score that would give her an average between 85 and 90, inclusive.
Answers
The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.
How to determine the average?In Mathematics, the average of these quiz scores can be calculated by using the following formula:
Average = Sum of quiz score/Number of quiz scores
Note: Let the variable q represent the student's score on the third (3rd) quiz.
Substituting the given parameters into the formula, we have the following;
Average = (75 + 83 + q)/3
Average = (158 + q)/3
This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:
85 ≤ (158 + q)/3 ≤ 90
Multiplying all through by 3, we have the following:
255 ≤ (158 + q) ≤ 270
Subtracting 158 from both sides of the inequality, we have the following:
97 ≤ x ≤ 112
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The area of the shaded region is
Answers
The area of the curve in the normal distribution is 1.3788.
What is normal distribution?A probability bell curve should be referred to as the normal distribution. The mean and standard deviation of a normal distribution are 0 and 1, respectively. The kurtosis is 3, and there is no skew. Not all symmetrical distributions are normal, but all normal distributions are symmetrical. A lot of naturally occurring phenomena resemble the normal distribution The majority of price distributions in finance, however, are not exactly normal.
The area for the curve of the normal distribution can be calculated using the area of z-score table.
For the left region we have:
z-score (-0.29) = 0.3859
For the right region we have:
z-score (2.45) = 0.9929
The total area is:
Area = 0.3859 + 0.9929
Area = 1.3788
Hence, the area of the curve in the normal distribution is 1.3788.
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if k-9=5(k-3)find k
Answers
Answer:
K = 3/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
k−9=5(k−3)
k+−9=(5)(k)+(5)(−3)(Distribute)
k+−9=5k+−15
k−9=5k−15
Step 2: Subtract 5k from both sides.
k−9−5k=5k−15−5k
−4k−9=−15
Step 3: Add 9 to both sides.
−4k−9+9=−15+9
−4k=−6
Step 4: Divide both sides by -4.
-4k/-4 = -6/-4
K = 3/2
11) Find x if the line through (-2, 4) and (x, 6) has a slope of 2/9?
Answers
Answer: x = 7.
Step-by-step explanation:
The formula for a slope is y₂ - y₁ / x₂ - x₁.
Plug in the values into the formula.
\(\frac{6 - 4}{x + 2}\)
\(\frac{2}{x + 2}\)
The slope is 2/9, so x + 2 = 9.
Hence, x = 7.
Someone show me step for step please!
Answers
\(\csc \theta \tan \theta - \tan \theta \sin \theta \\\\\\=\dfrac 1{\sin \theta} \cdot \dfrac{\sin \theta }{\cos \theta }- \dfrac{\sin \theta }{\cos \theta} \cdot \sin \theta\\\\\\=\dfrac{1}{\cos \theta}-\dfrac{\sin^2 \theta}{\cos \theta}\\\\\\=\dfrac{1- \sin^2 \theta}{\cos \theta}\\\\\\=\dfrac{\cos^2 \theta}{\cos \theta}~~~~~~~~~~~~~~;[\sin^2 \theta + \cos^2 \theta =1 ]\\\\\\=\cos \theta\)
Let's write out some trigonometric identities that we can use:
\(tan(x)=\frac{sin(x)}{cos(x)} \\\)\(csc(x)=\frac{1}{sin(x)}\)\(sin^2(x)+cos^2(x)=1\) ⇒ \(cos^2(x)=1-sin^2(x)\)Now let's try solving them out:
\(csc(x)tan(x)-tan(x)sin(x)=\frac{1}{sin(x)}tan(x)-sin(x)tan(x)\\\\ csc(x)tan(x)-tan(x)sin(x)=tan(x)(\frac{1}{sin(x)}-sin(x))\\\\ csc(x)tan(x)-tan(x)sin(x)=tan(x)(\frac{1}{sin(x)} -\frac{sin^2(x)}{sin(x)} )\\\\csc(x)tan(x)-tan(x)sin(x)=tan(x)*(\frac{1-sin^2(x)}{sin(x)} )\\\\csc(x)tan(x)-tan(x)sin(x)=\frac{sin(x)}{cos(x)}*\frac{cos^2(x)}{sin(x)} \\\\csc(x)tan(x)-tan(x)sin(x)=\frac{sin(x)}{sin(x)}*\frac{cos^2(x)}{cos(x)}\\\\csc(x)tan(x)-tan(x)sin(x)=1 * cos(x)\\\\ csc(x)tan(x)-tan(x)sin(x)=cos(x)\)
*I used a different variable, but that doesn't change the answer
Answer: cos(x)
Hope that helps!
900 employees had put their names in a lucky draw. When the lucky numbers were drawn. The first draw eliminated 20% of the people, the second draw eliminated 30% of the remaining people and the third draw eliminated exactly one third of the remaining people. How many people were eliminated in the third draw?
Answers
Answer: in the third draw 33.33% people eliminated.
Step-by-step explanation:
What are 6 techniques used by propaganda?
Answers
Answer:
Glitzy Generalizations , Card Arranging , Plain people , Testimonial , Bandwagon , Using names are the six techniques used by propaganda.
Step-by-step explanation:
What is propaganda ?Information—especially that which is slanted or deceptive—used to advance or publicize a specific political cause or point of view.
Glitzy Generalizations
Use expressions or words that sound appealing and are widely accepted.
Card Arranging
Using only those ideas and facts that support your argument.
Plain people
Tell voters that you are a normal person with same needs and beliefs as theirs.
Testimonial
Persuades people to do something by leveraging their popularity as a celebrity or athlete.
Bandwagon
Encourages a tendency to follow the crowd
Using names
Put a bad name on your opponent.
Glitzy Generalizations , Card Arranging , Plain people , Testimonial , Bandwagon , Using names are the six techniques used by propaganda.
To know more about Propaganda
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