Answer:
30
Step-by-step explanation:
Because 3x10=30 or 10+10+10=30
what is the least common multiple of 6, 12 , and 15
Answer:
It's 3.
Step-by-step explanation:
3x2=6
3x4=12
3x5=15
Solve the triangle, if possible.
C=61° 50, c=31.2, b=23.6
a=34.697, only one triangle is formed.
And B=40°.7'
A≈77°.79'.So, option A is correct.
What is meant by triangle?Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one.
Any three points determine a distinct triangle and a distinct plane in Euclidean geometry when they are non-collinear (i.e. a two-dimensional Euclidean space). To put it another way, each triangle is contained in a plane, and there is only one plane that includes that particular triangle. All triangles are contained in one plane if and only if all geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except as otherwise specified, the subject of this article is triangles in Euclidean geometry, more specifically, the Euclidean plane.
Given,
C=61° 50, c=31.2, b=23.6
Sine rule:
sin B/b=Sin C/c
sin B=b sin C/c
=(23.6 sin 61° 50)/31.2
sin B=0.65219
sin B=139.3
A+B+C=180
A=180-B-C
A=180-139.3-61.50
A= -20.8 which is not possible.
Because the angle must be positive.
sin B=sin 40.70
A+B+C=180
A=180-40.70-61.50
A=77.79'
sin A/a=sin C/c
a=c sin A/sin C
So, a=34.697
Only one triangle is formed
And B=40°.7'
A≈77°.79'
Hence, option A is correct.
To know more about triangle, visit:
https://brainly.com/question/2773823
#SPJ1
Solve 2b+4=3b+1 for b
Answer:
b= 3
Step-by-step explanation:
2b +4 = 3b +1
-2b. -1
b = 3
11) Calculate the single discount equivalent for chain discounts 45%, 24%, 10%.
A) 37.62%
B) 41.67%
C) 58.33%
D) 62.38%
I already know it’s D I just need an explanation because I have to know this for competition on thursday please help
62.38% is the necessary discount. Basic discount calculations include multiplying the original price by the given percentage rate in decimal notation.
What is the percentage of discount ?Suppose MP is 100. later Net SP
\($=(100-10) \%$\) of \($(100-24) \%$\) of \($(100-45) \%$\) of \(100 $=90 \%$\) of \($76\%$\) of \($55\%$\) of 100
\($$=\left(\frac{90}{100} \times \frac{76}{100} \times \frac{55}{100} \times 100\right)=37.62$$\)
Required discount \(=(100-68.40) \%=31.6 \%$\)\(=(100-37.62) \%=62.38 \%$\)
The simplest method for figuring out a discount is to multiply the original cost by the percentage rate in decimal notation. Any item's selling price is determined by deducting the discount from the purchase price.
An enormous, red percentage symbol with a black outline. If you multiply two percentages that are fractions of 100 or decimals, you can find the percentage of another percentage. Calculating, for instance, 50% of 40% results in (50/100) x (40/100) = 0.50 x 0.40 = 0.20 = 20/100 = 20%.
Therefore the correct answer is option D ) 62.38%
To learn more about discount refer to :
https://brainly.com/question/7459025
#SPJ1
Identify the slope and the y-intercept of
the line with the given equation:
2x+6y=12
Answer:
The slope is -1/3 and the y-intercept is (0, 2).
Step-by-step explanation:
2x+6y=12
6y=12-2x
6y=-2x+12
y=-2/6x+12/6
y=-1/3x+2
y=mx+b where m=slope and b=y-intercept
Margo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesv
The line that passes through the points (-3,0) and (5,8) is
A.Horizontal
B.Increasing
C. Decreasing
D. Vertical
When the nurse gave shots, she noticed that 34% of the people winced and the
rest were stolid. If 3300 people were stolid, how many shots did she give?
Can anyone please explain this question to me?
(2√5+3√6)²
\(\displaystyle \huge \boxed{\mathfrak{Question} \downarrow}\)
\( \displaystyle\large \bf( 2 \sqrt { 5 } + 3 \sqrt { 6 } ) ^ { 2 }\)
\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\( \large \sf( 2 \sqrt { 5 } + 3 \sqrt { 6 } ) ^ { 2 }\)
Use the algebraic identify \(\sf\left(a+b\right)^{2}=a^{2}+2ab+b^{2} \)to expand \(\sf\left(2\sqrt{5}+3\sqrt{6}\right)^{2}\).\( \large \sf \: 4\left(\sqrt{5}\right)^{2}+12\sqrt{5}\sqrt{6}+9\left(\sqrt{6}\right)^{2} \)
The square of \(\sf\sqrt{5}\) is 5.\( \large \sf4\times 5+12\sqrt{5}\sqrt{6}+9\left(\sqrt{6}\right)^{2} \)
Multiply 4 and 5 to get 20.\( \large \sf20+12\sqrt{5}\sqrt{6}+9\left(\sqrt{6}\right)^{2} \)
To multiply \(\sf\sqrt{5}\) and \(\sf\sqrt{6}\), multiply the numbers under the square root.\( \large \sf20+12\sqrt{30}+9\left(\sqrt{6}\right)^{2} \)
The square of \(\sf\sqrt{6}\) is 6.\( \large \sf20+12\sqrt{30}+9\times 6 \)
Multiply 9 and 6 to get 54.\( \large \sf20+12\sqrt{30}+54 \)
Add 20 and 54 to get 74.\( \large \boxed{\bf12 \sqrt{30} + 74 = 139.72..}\)
The relationship between the time a politician has been in office and his approval rating can be modeled by the equation y = –0.01x + 70, where x is his time in office in days and y is his approval rating as a percent. Which of these statements is true according to the model?
Answer:
Because of absence of options, I have listed statements that are true; according to the model.
Step-by-step explanation:
To answer this, we find all possible explanations to the model. First, we know that:
X = time in office (in days)
Y = approval rating (in percentage)
The constant term in the model is 70
So the true statements that can be derived are:
(A) Y is inversely related to X. This is obvious because of the difference in sign of the coefficient of Y and that of X.
The coefficient of Y is +1
The coefficient of X is -0.01
Y has a positive coefficient while X has a negative coefficient.
The inverse relationship hence implies that the more days the politician spends in office, the less his percentage approval rating (and vice versa)!
Testing;
If X = 10 days, Y = 69.9%
If X = 20 days, Y = 69.8%
If X is 30 days, Y = 69.7%
(B) The rate at which approval rating drops is very slow; compared to the increase in number of days in office. A 10 day increase in number of days in office only results in a 0.1 or 10% decrease in percentage approval ratings.
(C) The longer a politician stays in office, the less his approval rating.
(D) The percentage approval rating is greatly influenced or increased by the constant term 70
I am lost on this question i found both but it keeps on telling me i am incorrect
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
dilate abc from G using a scale factor of 2
Kindly, check below.
1) The first thing to do is to set coordinates for those points so that we can better do this
G(2,8)
C(2, 5)
B (5,6)
A (4,8)
2) Since this dilation is centered at G we need to count the distance from each vertex to point G
3) Since the factor is 2 the dilated triangle will be twice larger than the pre-image and now let's translate it as well
Now that we know the distance from point g from above, we can write out the following coordinate for the image:
convert 1324 base 5 to base 8
In conclusion 1324 base 5 = 326 base 8.
To convert the number 1324 in base 5 to base 8, you can follow these steps:
Step 1: Write the given number in expanded form with powers of 5.
1324 base 5 = 1 × 5² + 3 × 5¹ + 2 × 5⁰ + 4 × 5⁻¹
Step 2: Simplify the expression to obtain the decimal equivalent.
1324 base 5 = 25 + 15 + 2 + 0.4 = 42.4
Step 3: Convert the decimal equivalent to base 8 by successive multiplication by 8.
0.4 × 8 = 3.2 (0)
0.2 × 8 = 1.6 (1)
0.6 × 8 = 4.8 (4)
0.8 × 8 = 6.4 (6)
0.4 × 8 = 3.2 (3)
0.2 × 8 = 1.6 (1)
The integer parts obtained in order give the equivalent representation of the number in base 8.
Therefore, 1324 base 5 = 42163 base 8.
learn more about integer here:
https://brainly.com/question/15276410
complete question:
How can I convert the number 1324 in base 5 to its equivalent representation in base 8?
Solve the formula for the indicated variable
A=1/2bh solve for h
Answer:
h=A*2b
Step-by-step explanation:
A=1/2bh
1/2bh=A
1/2bh÷1/2bh=A÷1/2bh (the 1/2b will cancel with the 1/2b on the left leaving h)
h=A*2b
Three brothers share some money. The oldest 5/11 of the money. The next boy gets gets 7/12 of the remainder. What fraction of the money does the youngest boy get?
The fraction of the money the youngest boy does get is 5x/22.
Given that, three brothers share some money. The oldest 5/11 of the money.
Let the total money be x.
Share of oldest boy = 5/11 ×x
= 5x/11
Remainder = x-5x/11
Remainder = 6x/11
The next boy gets 7/12 of the remainder.
Share of next boy = 7/12 × 6x/11
= 7x/22
Share of youngest boy = 6x/11 - 7x/22
= (12x-7x)/22
= 5x/22
Therefore, the fraction of the money the youngest boy does get is 5x/22.
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ1
the least common multiple of 9 and 6 is 54
Answer:
18
Step-by-step explanation:
The multiples of 9 are 9,18,27,36,45,54,63,...
The multiples of 6 are 6,12,18,24,30,36,42,...
Casey went to Bellas bakery order three mango smoothies for $4.25 and three chocolate covered cherries for $.75 how much money did he spend
Answer:
He spent $15
Step-by-step explanation:
3 x 4.25 = $12.75
3 x 0.75 = $2.25
Add them together
12.75 + 2.25 = $15
the radius of a circle is 4, what is the diameter and circumference
The diameter of the circle is 8, because the diameter is twice the radius. The circumference of the circle is 25.1327, because the circumference is calculated using the formula C = 2πr, where r is the radius and π is approximately equal to 3.14.
Roberto needs 6 feet and 8 inches of lumber to repair the deck. He has 54 inches of lumber. How many more inches of lumber does he need?
Answer:
26 inches, or 2 ft 2 in.
Step-by-step explanation:
1 ft = 12 in.
6 ft 8 in. = 6 ft + 8 in. =
= 6 ft × 12 ft / in. + 8 in.
= 72 in. + 8 in.
= 80 in.
He needs 80 inches.
80 - 54 = 26
Answer 26 inches or 2 ft 2 in.
Answer:
he needs 26 inches
Step-by-step explanation:
Graph the line y = 5x – 1, then name the slope and y-intercept by looking at the graph.
Answer:
m = 5
y-intercept = (0, -1)
Step-by-step explanation:
y = mx + b
y = 5x - 1
m = 5
y-intercept = b = (0, -1)
Point 1: (0, -1)
Point 2: (1, 4)
Point 3: (-1, -6)
I hope this helps!
How did you get the answer
Answer:
when you solve a questions
Step-by-step explanation:
You get the answer when you solve a questions correctly
please mark brainlest i had never got brainlest
Answer:
by getting the information for a text ot story
Step-by-step explanation:
pleasee help meeee im awful at math
Answer:
$1200 each month
Step-by-step explanation:
So Craig pays $720 each year, so he pays 720/12 = $60 each month
Since $60 is 1/20 of his monthly income, we multiply 60 by 20
60* 20 = 1200
Craig earns $1200 each month
-Chetan K
Sam has 1000 Reputation. He Gets 500 More Reputation. How Much Reputation Does He Have And How? PLEASE HELP I WILL PICK BRAINLIEST TO FIRST ANSWER
Answer:1500
Step-by-step explanation:
1000+500=1500
What is identity matrix with example.
Answer:
An identity matrix is a square matrix having 1s on the main diagonal, and 0s everywhere else. For example, the 2×2 and 3×3 identity matrices are shown below. These are called identity matrices because, when you multiply them with a compatible matrix , you get back the same matrix
Step-by-step explanation:
mark as brainliest pls :)Answer:
An identity matrix is a square matrix having 1s on the main diagonal, and 0s everywhere else. For example, the 2×2 and 3×3 identity matrices are shown below. These are called identity matrices because, when you multiply them with a compatible matrix , you get back the same matrix.
Identity Matrix is the matrix which is n × n square matrix where the diagonal consist of ones and the other elements are all zeros. It is also called as a Unit Matrix or Elementary matrix. It is represented as In or just by I, where n represents the size of the square matrix. Identity Matrix is denoted with the letter “In×n”, where n×n represents the order of the matrix.
One of the important properties of identity matrix is: A×In×n = A, where A is any square matrix of order n×n.
Hope this helped
A landscaping company charges $48 per cubic yard of mulch plus a delivery charge of $28. Find a linear function which computes the total cost C (in dollars) to deliver x cubic yards of mulch.
The linear function for the total cost C is:
\(\text{C} = 28 + 48\text{x}\)What is a function?A function is an expression, rule, or law that defines a relationship between one variable.
Example:
\(f(\text{x}) = 2\text{x} + 1\)
\(f(1) = 2 + 1 = 3\)
\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Charge per cubic yard = $48Delivery charge = $28The total cost for x cubic yards.
\(\bold{C = 28 + 48x}\)
Thus, the function is C = 28 + 48x.
To know more about functions, visit:
https://brainly.com/question/31062578
What is the slope of the line that passes through the points (0, -6) and (0, -5)?
The slope of the line that passes through the points (0, -6) and (0, -5)is undefined.
What is the slope of the line that passes through the points (0, -6) and (0, -5)?Slope is line's inclination with regard to the horizontal is quantified numerically. In analytical geometry, a line, ray, or line segment's slope is the ratio of the vertical to horizontal distance between any two points on the line, ray, or line segment ("slope equals rise over run").
In differential calculus, the derivative of a function yields the slope of a line tangent to its graph, which represents the function's instantaneous rate of change with respect to changes in the independent variable.
Ok so slope is the change in y over change in x.
Your why changed from 6 to -5 so you can write this as -5 - 6
Your x didn’t change it went from 0 to 0
You can write this as 0-0
Now -11/0 is what you end up with as a slope.
Any number divided by 0 is undefined so your slope is undefined.
To learn more about slope refers to;
https://brainly.com/question/3605446
#SPJ1
The television landscape has changed as networks compete with streaming services such as Netflix and Amazon. Suppose that CBS plans to conduct interviews with television viewers in an attempt to estimate the proportion of viewers in the 18–49 age group who watch “most” of their television on network television as opposed to streaming services. CBS wishes to have 95% confidence and a margin of error in its estimate of ±0.03. What sample size is required?
Answer:
A sample size of 1068 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
CBS wishes to have 95% confidence and a margin of error in its estimate of ±0.03. What sample size is required?
We need a sample size of n, and is found when M = 0.03.
We dont have an estimate for the true proportion, so we use \(\pi = 0.5\), which is when the largest sample size will be needed.
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}\)
\(0.03\sqrt{n} = 1.96*0.5\)
\(\sqrt{n} = \frac{1.96*0.5}{0.03}\)
\((\sqrt{n})^2 = (\frac{1.96*0.5}{0.03})^2\)
\(n = 1067.1\)
Rounding up,
A sample size of 1068 is required.
What is the perimeter of this triangle?
Answer:
41.8
Step-by-step explanation:
What is the right way to use substitution method?
Answer:
Step-by-step explanation:
Substitution method can be applied in four steps. Step 1: Solve one of the equations for either x = or y = . Step 2: Substitute the solution from step 1 into the other equation. Step 3: Solve this new equation Happy too help!
which equation represents a line that is parallel to y=-5/4x+2
Answer:
y=-5/4x+4
Step-by-step explanation:
as long as the slope is the same and you have a different starting point the lines will be parallel.