Define the concept of an angle and show how it should be indicated in Math (notation). Mention at least two ways.
Answers
An angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.
An angle is denoted by the angle symbol ∠ which is then being followed by three letters that will represent the points that form an angle.
Lets say for example, the expression ∠ABC will mean that “the angle is formed by the points A, B and C”
where the vertex of the angle is at the point B as it is in the middle.
Angles can also be of different types like:
An Acute Angle which means an angle is less than 90 degrees.
A Right Angle which means an angle which is exactly 90 degrees.
An Obtuse Angle which is an angle more than 90 degrees and less than 180 degrees.
A Straight Angle which is an angle that is exactly 180 degrees.
And a Reflex Angle which is an angle greater than 180 degrees and less than 360 degrees.
Therefore, an angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.
Learn more about angles here:
https://brainly.com/question/25716982
#SPJ9
Related Questions
Suppose 52% of the doctors in America are dentists. If a random sample of size 775 is selected, what is the probability that the proportion of doctors who are dentists will differ from the population proportion by less than 5%? Round your answer to four decimal places.
Answers
Answer:
0.134%
Step-by-step explanation:
We have to
sd * P = [p * (1 - p) / n] ^ (1/2)
where p = 0.52 and n = 775, replacing:
sd * P = [0.52 * (1 - 0.52) / 775] ^ (1/2) = 0.0179
Now the probability would be:
P = 1 - P [(- 0.05) /0.0179 <z <(0.05) / 0.0179]
P = 1 - P (-2.79 <z <2.79)
P = 1 - P (z <2.79) - P (z <-2.79)
P = 1 - 0.9974 - 0.00126
P = 1 - 0.99614
P = 0.00134
Therefore the probability is 0.134%
how many different digits are used in the hexadecimal number system?
Answers
Answer:16
Step-by-step explanation:
Combine Like Terms And Evaulate
(Simplify the expression)
(Then Evaluate Each Expression)
6x + 3 - 10 +y if x = 7 and y=-2
Answers
Answer:
33
Step-by-step explanation:
Given
6x + 3 - 10 + y
= 6x - 7 + y ← substitute x = 7 and y = - 2 into the expression
= 6(7) - 7 + (- 2)
= 42 - 7 - 2
= 33
An Article is bought for Rs 300 and sold for 315. Find the profit and profit percent
Note Please Solve the Question Properly
Answers
Answer: PROFIT= 15
PROFIT PERCENT(%)=5%
Step-by-step explanation: As the article is bought at 300 and sold at 315, the difference between the buying and the selling prices is the profit.
Profit is the margin between the price you have bought and the price at which you have sold.
That is 315-300= 15
Now the percentage 15/300*100 = 5
To know the percentage, we have to divide the given value by the total value and after that multiply the result by 100.
Here the given value which is profit is 15 and the total is 300
After dividing 15/300 We get 0.05 and multiply by 100= 5.
So the percentage is 5%.
To learn more Percentage
https://brainly.com/question/24877689
Answer: The profit is Rs 15 and the profit per cent is 5%.
Step-by-step explanation:
Purchase Price: Rs 300
Selling Price: Rs 315
profit: 315-300=15 ( profit=selling price -cost price)
profit percentage= (15/300)*100 ( profit percentage= (profit/cost price)*100)
Lisa must choose a number between 61 and 107 that is a multiple of 2, 8, and 16. Write all the numbers that she could choose. If there is more than one
number, separate them with commas.
Answers
You paint 13 of a wall in 14 hours. At that rate, how long will it take you to paint one wall?
Answers
------
rate = (1/3)/(1/4) = 4/3 job/hr
-----
time for job = 3/4 hr/job = 45 minutes to do the whole job.
Can someone help me with these questions, please explain your answer. :D
Answers
Answer:
1. is the 3rd one
2. the last on is the answer
3 is A
4 is C
Step-by-step explanation:
Ja’quan was told to go inside one afternoon while he was at summer camp. He heard thunder and saw flashes of lightning. Suddenly, small balls and chunks of ice were falling on the field. Ja’quan checked the thermometer, because he never saw ice fall in South Florida, and noticed that it was 77°F (or 25°C). How was ice able to fall even though the temperature was much warmer than freezing?
a) Ja’quan read the thermometer wrong
b) He must have observed hail falling from thunder clouds
c) It was cold enough to allow solid precipitation to fall
d) Children were most likely throwing ice
Answers
Answer: c
Step-by-step explanation:
Jaun rides the bus to school each day he always arrives at his bus stop on time but his bus is late 80% of the time
Answers
The correct probability that Juan's bus is going to be late every week next week is 20 percent.
How to solve for the probabilityWe have the total number in the stimulation on to be from 0 to 9
On the fact that it would be late, the number ranges from 2 to 9
Hence the fact that it would be late would be
2/10
= 0.2
0.2 is also the same as 20 percent.
Complete questionJuan rides the bus to school each day. He always arrives at his bus stop on time, but his bus is late 80% of the time. Juan runs a simulation to model this using a random number generator. He assigns these digits to the possible outcomes for each day of the week:
• Let 0 and 1 = bus is on time
• Let 2, 3, 4, 5, 6, 7, 8, and 9 = bus is late
The table shows the results of the simulation.
Read more on simulation here:
https://brainly.com/question/24912812
#SPJ1
A study found that working adults ages 22-25 spend an average of $14.27 a day on food with a standard deviation of $2.25. The amount Jeremy spends per day is 4 standard deviations above the average. How much does Jeremy spend per day, rounded to 2 decimal places
Answers
If working adults aged 22-25 spend an average of $14.27 a day on food with a standard deviation of $2.25, then Jeremy would spend approximately $23.27 per day if his expenditure is 4 standard deviations above the average.
To calculate how much Jeremy spends per day, we need to find a value that is 4 standard deviations above the average.
Mean (average) = $14.27
Standard deviation = $2.25
To find the amount Jeremy spends per day, we multiply the standard deviation by 4 and add it to the mean:
Jeremy's daily spending = Mean + (4 * Standard deviation)
Jeremy's daily spending = $14.27 + (4 * $2.25)
Jeremy's daily spending = $14.27 + $9.00
Jeremy's daily spending = $23.27
Therefore, Jeremy spends approximately $23.27 per day, rounded to 2 decimal places.
The concept used to solve the problem is based on the standard deviation and the number of standard deviations above the mean.
In statistics, the standard deviation measures the amount of variation or dispersion in a dataset. It tells us how spread out the data points are from the mean.
To find Jeremy's daily spending, we are given the average daily spending ($14.27) and the standard deviation ($2.25). Since Jeremy's spending is described as 4 standard deviations above the average, we need to multiply the standard deviation by 4 to get the amount.
By multiplying the standard deviation ($2.25) by 4, we obtain the additional amount Jeremy spends above the average. Adding this to the mean ($14.27) gives us Jeremy's daily spending of $23.27.
This approach allows us to calculate the value of Jeremy's spending based on the average, standard deviation, and the given number of standard deviations above the mean.
Learn more about standard deviation at:
brainly.com/question/475676
#SPJ11
Exponents in exponential functions unit test 
-1/y^-4
A.-4/y
B.y^4
C.-4y
D.-y^4
6^3*6^10
A.36^13
B.6^13
C.6^30
D.18^30
Simplify this equation
(5) ^-5(5)^7
A.1/25
B.25
C.10
D.5-^35
(t^8)^2
A.2t ^16
B.t^10
C.t^16
D.t^64
(5t^3) ^-4
A.625/t^12
B.20/t^7
C.1/625t^12
D.20t^7
What is the value of 13*^-3y^-1 for x=-1 and y = 4?
A.-13/4
B.-53
C.-4/13
B.-156
(y^-5) ^-10y^10
A.y^-60
B.y^60
C.y^-150
D.y^150
Find the simplified form of each expression
(2/5n^9)^2
A.2/5n^81
B.4/25n^81
C.4/25n^18
D.4/10n^18
Determine if the number is written in scientific notation, if not explain 2.01*10^-5
A. no, it’s not written as a number times a power of 10.
B. no, the first factor is not a number between one and 10.
C. Yes, the number is written in scientific notation.
Find the simplified form of the expression, give your answer in scientific notation.
(4*10^10)(9*10^-5)
A.3.6*10^4
B.3.6*10^-49
C.36*10^5
D.3.6*10^6
Astronomers measure large distances in light years one light year is the distance that lake and travel in one year or approximately 5.88×10^12 miles suppose a star is nine. 8×10^1 light years from earth in scientific notation, approximately how many miles is it?
A.5.88*10^13miles
B.5.76*10^14 miles
C.5.88*10^12 miles
D.9.8*10^12 miles
A dinosaur fossil is 92,170,000 years old. How can you express his age in scientific notation with the highest level of precision?
A.9.2*10^7
B.9.217*10^7
C.9.22*10^7
D.9*10^7
Radio signals travels at a rate of 3×10^8 meters per second how many seconds would it take for a radio signal to travel from a satellite to the surface of earth if the satellite is orbiting at a height of 9.6×10^6 meters hint time is distance divided by rate
A.3.2*10^2 seconds
B.3.2*10^-2 seconds
C.3.13*10^1 seconds
D.2.88*10^15 seconds
Does the table represent an exponential function?
| x 1 2 3 4
| y -2 -12 -72 -432
A. Yes
B. No
Does the rule Y= -5 ^6 represent an exponential function?
A.yes
B.no
In an appropriate environment, guppies reproduce at an astounding rate. The population of breeding guppies doubles every two months how many guppies will be there after six months if the beginning population is 180 guppies
A.1,440
B.1,080
C.360
D.2,880
Add $3,300,000 principal earns 4% interest compounded annually after three years what is a balance in the account
A.$3,712.05
B.$211,200.00
C.$3,696.00
D.$10,269.00
A car cost $25,750,000 and depreciates in value by 20% per year. How much will the car be worth after five years
A.$5,159.00
B.$8,437.76
C.$8,240.00
D.$20,600.00
Please help!! 50 points because it’s all I have
Answers
Below are the answers to the question:
-4/y (Option A)6^13 (Option B)5^2 (Option B) = 25t^16 (Option C)1/625t^12 (Option C)-13/4 (Option A)y^60 (Option B)4/25n^18 (Option C)Yes, the number is written in scientific notation. (Option C)What are the responses to other questions?Answers to other questions are as follows;
10. 3.6*10^6 (Option D)
11. 4.53472*10^14 miles (Option B)
12. 9.217*10^7 (Option B)
13. 32 seconds (Option A)
14. Yes (Option A)
15. No (Option B)
16. 1,440 (Option A)
17. $3,696.00 (Option C)
18. $8,240.00 (Option C)
An exponential function is a mathematical function of the form:
f(x) = a^x
where a is a positive constant called the base, and x is the exponent. Exponential functions are commonly used in mathematics, science, and engineering to describe phenomena that grow or decay at a constant percentage rate.
Exponential functions are characterized by their rapid growth or decay. When the base a is greater than 1, the function grows exponentially, getting larger and larger as x increases. When the base a is between 0 and 1, the function decays exponentially, getting smaller and smaller as x increases.
Exponential functions are widely used to model a variety of real-world phenomena, including population growth, compound interest, radioactive decay, and the spread of infectious diseases. They are also used in statistical analysis, signal processing, and other fields of mathematics and science.
learn more about exponential function: https://brainly.com/question/30127596
#SPJ1
2. One bag of fertilizer will cover 400 square feet. Find how many bags should be purchased to cover a garden that is
35 feet by 75 feet.
Answers
35*75 is
2625
2625/400 is
6.5625
Since you cannot have a decimal amount of a bag, you should purchase
(rounding)
7 bags of fertilizer
Answer:
7 bags
Step-by-step explanation:
First thing you need to do is figure out the area of the garden. Area=length×width, so just put in your numbers, 35×75=2625 square feet. One bag covers 400 feet, so you divide the area by 400, 2625÷400=6.5625. You can't buys 6.5625 bags of fertilizer, so you have to go up to the next whole number which is 7.
Find the distance from P to l.Line I contains points (0, -3) and (7,4). Point P has coordinates (4,3)
Answers
Find the distance from P to l.
Line I contains points (0, -3) and (7,4). Point P has coordinates (4,3)
step 1Find the slope of line l
we have the points (0, -3) and (7,4)
m=(4+3)/(7-0)
m=7/7
m=1
step 2Find the equation of the line perpendicular to the line l that passes through the point P
REmember that
If two lines are perpendicular, then the product of their slopes is equal to -1
therefore
the slope of the perpendicular line is
m=-1
Find the equation in point slope form
y-y1=m(x-x1)
we have
m=-1
(x1,y1)=P(4,3)
substitute
y-3=-1(x-4)
y-3=-x+4
y=-x+7
step 3Find the equation of the line l
we have
m=1 (see the step 1)
and we have the point (0,-3) -----> y-intercept
so
the equation of the line l is
y=x-3
step 4Find the intersection point line l and its perpendicular line
y=x-3 ------> equation A
y=-x+7 -----> equation B
solve the system of equations
Adds equation A and equation B
2y=-3+7
2y=4
y=2
Find the value of x
substitute in equation A
2=x-3
x=2+3
x=5
therefore
the intersection poin is (5,2)
step 5Find the distance between point (5,2) and point P(4,3)
Remember that, this distance is the distance from P to l.
the formula to calculate the distance between two points is equal to
\(d=\sqrt[]{(y2-y1)^2+(x2-x1)^2}\)we have
(x1,y1)=(5,2)
(x2,y2)=(4,3)
substitute in the formula
\(\begin{gathered} d=\sqrt[]{(3-2)^2+(4-5)^2} \\ d=\sqrt[]{1+1} \\ d=\sqrt[]{2\text{ }} \end{gathered}\)therefore
teh answer is
the distance from P to l. is equal to square root of 2Solve for u.
4u = 16u + 3(–3u − 5)
u =
Answers
Answer:
u = 5
Step-by-step explanation:
→Distribute the 3 to (-3u - 5):
4u = 16u - 9u - 15
→Add like terms:
4u = 7u - 15
→Subtract 4u from both sides:
0 = 3u - 15
→Add 15 to both sides:
15 = 3u
→Divide both sides by 3:
5 = u
Answer:
\( \boxed{u = 5} \)
Step-by-step explanation:
\( = > 4u = 16u + 3( - 3u - 5) \\ \\ = > 4u = 16u + (3 \times ( - 3u)) - (3 \times 5) \\ \\ = > 4u = 16u - 9u - 15 \\ \\ = > 4u = 7u - 15 \\ \\ = > 4u - 7u = - 15 \\ \\ = > \cancel{- }3u = \cancel{- }15 \\ \\ = > 3u = 15 \\ \\ = > u = \frac{15}{3} \\ \\ = > u = 5\)
The ratio of the sides of a triangle is 2:4:7. If the perimeter of the triangle is 182 cm what is the longest side?
Answers
Answer:
98 cm
Step-by-step explanation:
sum the parts of the ratio , 2 + 4 + 7 = 13 parts
divide perimeter by 13 to find the value of one part of the ratio.
182 ÷ 13 = 14 cm ← value of 1 part of the ratio , then
2 parts = 2 × 14 = 28 cm
4 parts = 4 × 14 = 56 cm
7 parts = 7 × 14 = 98 cm
the longest side is 98 cm
For a dinner , a caterer charges $150 plus $19 per person. This function represents the relationship between n, the number of people at the dinnerand T(n) , the total cost. T(n) = 150 + 19n Determine the total cost, in dollars, for the caterer to serve dinner to 90 people
Answers
180 divided in the ratio of 7:3:5
Answers
Answer:
Let , the constant factor be x so 3 X + 5 x + 7 x = 180
Step-by-step explanation:
Find out the value of x
7x+3x+5x=180
15x=180
x=180/15
x=12
now,
x=3 multiplied by 12=36
x=7 multiplied by 12=84
x=5 multiplied by 12=60
brainliest pls if u wannna
whats the slope for (-6,-3) and (0, -1.5) in fraction form?
Answers
The slope of the line segment joining the two points given (-6,-3) and (0, -1.5) expressed in fraction form as required in the task content is; m = 1/4.
What is the slope of the line segment joining the two points given (-6,-3) and (0, -1.5) as required in the task content?It follows from the task content that the slope of the line segment joining the two points given (-6,-3) and (0, -1.5) be determined.
On this note, it follows from the slope formula that slope;
m = (y2 - y1)/(x2 - x1)
Therefore, the slope of the line segment joining the two points is;
m = (-1.5 - (-3))/(0 - (-6))
m = 1.5/6
m = 1/4.
Ultimately, the slope of the line segment joining the two points given (-6,-3) and (0, -1.5) expressed in fraction form as required in the task content is; m = 1/4.
Read more on slope of a line;
https://brainly.com/question/3493733
#SPJ1
line v has a slope of - 5/2. line w has a slope of - 2/5. are line v and line q parallell, perpendicular, or neither?
Answers
Answer:
neither
Step-by-step explanation:
Parallel lines need to have the same slope.
Perpendicular lines have opposite reciprocal slopes.
-5/2 and -2/5 are opposite reciprocals nor are they equal.
The wholesale cost for a baseball glove at a sporting goods store is $16.50. The store plans to mark up the glove by 120%. What will be the selling price of the baseball glove to the nearest cent?
Answers
Answer:
$36.30Step-by-step explanation:
Given:
Cost price = $16.50Mark up rate = 120%Selling price is:
$16.50 + 120% = $16.50*2.2 = $36.30Bianca deposits $3,000 in a savings account earning 4.25% simple interest per year.
Question 1
Part A
How much interest will Bianca earn for a period of 3 years?
Answers
Answer:
637.50
Step-by-step explanation:
A random sample of 100 diabetics undergoes genotyping and it was found that 23 of them have the gene. compute the z test statistic needed for this hypothesis test.
Answers
The z test statistic needed for this hypothesis test is 0.75 .
Z test is a statistical test that is conducted on data that approximately follows a normal distribution. The z test can be performed on one sample, two samples, or on proportions for hypothesis testing. It checks if the means of two large samples are different or not when the population variance is known.
NOW,
sample proportion = p = x / n = 0.23
Test statistics
z = ( p - p0 ) / \(\sqrt{ p0*(1-p0)}\) / n
= ( 0.23 - 0.20) / \(\sqrt{ (0.20*0.80) / 100}\)
= 0.75
To know more about " Variation"
https://brainly.com/question/25215474
#SPJ4
Evaluate the arithmetic series described:
a1=5, an = 145, Find S15
Answers
Answer: well, a = 5 and an = 29
Thats the furthest i got- sorry i to lazy to do work rn but atleast i found out what a and an equals to- i think
The sum of the first 15th terms of the sequence is 320.
What is the sum of terms of an arithmetic sequence?Arithmetic sequence is a sequence where each consequtive term has a common constant difference.
An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.
The formula for calculating the sum of the nth term of an AP is expressed as;
Sn = n/2(2a+(n-1)d))
Given
a1 = 5
an = 145
n = 15
\(S_n= \dfrac{n}{2}[2a + (n-1)d ]\)
S15 = 15/2 {2(5) + (15-1)5}
S15 =5{10+9(6)}
S15 =5{10+54}
S15 = 5(64)
S15 = 320
Hence the sum of the first 15th terms of the sequence is 320.
Learn more about arithmetic sequence here:
https://brainly.com/question/3702506
#SPJ5
The difference of three times a number and 4 is 8. What is the value of n?
a. -1.3
C. 4
b. -4
d. 1.3
Answers
Answer:
It’s c
Step-by-step explanation:
I just did it in edg
Resuelve: 6 (3n + 6) - 6 = -3 (n + 4)
Answers
Answer:
n = -2
Step-by-step explanation:
Dame lo más inteligente
( give me brainllest)
What is the value of the expression below?
(3 1/2 - 9 3/4) ÷ (-2.5)
Answers
Answer:
2.5
Step-by-step explanation:
3 1/2 - 9 3/4 =
3 2/4 - 9 3/4 = -6 1/4
-6 1/4 = -6.25 ÷ (-2.5) = 2.5
Fiona and Diana are sisters. They each baked cookies. Fiona baked 15 more cookies than Diana. They baked a total of 75 cookies. How many cookies did each girl bake?
Answers
Answer: Fiona baked 45 cookies and Diana baked 30 cookies.
45 + 30 = 75 total cookies baked.
find the slope of the line of best fit shown below.
Answers
Help me please thank u for helping me
Answers
Answer:
d
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
x=1/4
How do you find eigenvalues and eigenvectors of a matrix?
Answers
Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.
In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.
To know more about Eigenvectors here
https://brainly.com/question/15423383
#SPJ4