Consider a circle. The length of the arc for the central angle of 45 degrees is 16cm, then the total circumference (perimeter) of the circle is
a) 126cm
b) 128cm
c) 162cm
d) 182cm

Answers

Answer 1

Answer:

b

Step-by-step explanation:

the arc length is calculated as

arc = circumference (C) × fraction of circle , then

16 = C × [tex]\frac{45}{360}[/tex] = C × [tex]\frac{1}{8}[/tex] ( multiply both sides by 8 )

128 = C

circumference of circle is 128 cm


Related Questions

what is the number name for 18.32? A.eighteen and thirty two tenth B. eighteen and thirty two thousandths C. eighteen and thirty two hundredths

Answers

Answer:

C. eighteen and thirty two hundredths

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

In the diagram above <1=40%.find the measure of <2. <2=[?]%

Answers

Answer:

∠ 2 = 40°

Step-by-step explanation:

∠ 1 and ∠ 2 are corresponding angles and congruent, thus

∠ 2 = ∠ 1 = 40°

please help me I have tried and I'm so confused i don't know why- (due in 10 minutes)

Answers

Answer:

B

C

A

D

E

Step-by-step explanation:

i know this is due in 10 mins so i didnt want to waste time aha

but ill gladly give an explanation later

Answer:

See below.

Step-by-step explanation:

A) a⁴ => Some number to the power of four

B) y - 4 => Four less than an unknown number

C) z / 4 => Quotient of a variable and four

D) 4x => Four times an unknown value

E) b + 4 => Four more than some number

What mixed number is equivalent to 4.01?

Answers

Answer:

4 1/100

Step-by-step explanation:

Answer:

4 1/100

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are  2   numbers to the right of the decimal point, place the decimal number over  10 ^2  ( 100 ) . Next, add the whole number to the left of the decimal.

Instructions: Find the missing side lengths. Leave your answers as radicals in the simplest form. I need help with finding what a is.

Answers

Answer:

a = 17

Step-by-step explanation:

using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{a}{17\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

a × [tex]\sqrt{2}[/tex] = 17[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

a = 17

b = 17 since the legs of an isosceles triangle are congruent

A function is a fifth-degree polynomial. How many
turning points can it have?
exactly four
exactly five
four or less
* five or less
RETRY

Answers

Answer:

1st question the answer is four or less

2nd questions is the first and third one

Step-by-step explanation:

A function with a fifth-degree polynomial have 4 turning points.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

A function is a fifth-degree polynomial.

Now,

Since, We know that;

The turning point of n degree polynomial = n - 1

Here, The highest power of the polynomial = 5

Thus, The turning point of 5 degree polynomial = 5 - 1

                                                                           = 4

Therefore, A function with a fifth-degree polynomial have 4 turning points.

Learn more about the subtraction visit:

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Use any method to solve the following system of equations
5x = 8 - 2y
-5x + 8 = 2y
A (-5,-3)
B no solution
C infinitely many solutions
D (-5,3)

Answers

Answer:

no solution

Step-by-step explanation:

HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

I think that the answer would be A

I think the answer should be D. The evidence is relevant because it explains how video games change the body

20 points please help.

A large group of students took a test in physics and the final grades have a mean of 70 with a standard deviation of 10. If the graph of the scores has normal distribution, what percentile would a student be in if they earned an A on the test? (a is a score ≥ 90)

Answers

Answer:
The student's score closest to 91 percentile.

Step-by-step explanation:

Since the scores on the standardized test are approximately normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = test scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 480

σ = 90

If a student has a score of 600, then x = 600

For x = 600,

z = (600 - 480)/90 = 1.33

Looking at the normal distribution table, the probability corresponding to the z score is 0.91

the student's score closest to 91 percentile.

The graph of the scores has normal distribution and percentile would a student be in if they earned an A on the test is 97.72%

What is Normal Distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the centre of the range.

Normal distributions are symmetric, uni-modal, and asymptotic, and the mean, median, and mode are all equal

A data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean

Given data ,

To determine the percentile a student would be in if they earned an A (a score ≥ 90) on the physics test, we need to calculate the z-score corresponding to the score of 90 and then find the percentile associated with that z-score.

The z-score is a measure of how many standard deviations a particular value is away from the mean in a normal distribution

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation

In this case, we have:

x = 90 (the score for an A)

μ = 70 (the mean)

σ = 10 (the standard deviation)

Plugging these values into the z-score formula

z = (90 - 70) / 10 = 20 / 10 = 2

The z-score of 2 indicates that the score of 90 is 2 standard deviations above the mean in a normal distribution

The percentile associated with a z-score of 2 is approximately 97.72%

Hence , if a student earned a score of 90 or above on the physics test, they would be in the 97.72th percentile

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Gabriell's age is three times Mikhail's age. the sum of their age is 116. what is Mikhail's age?​

Answers

29.

116/4 = 29

3x29 = 87
+29 = 116

I would like some help with this question please

Answers

The 3 angles when added together need to equal 170.

To find the 3rd angle subtract the 2 given angles from 180


180-30-70 = 80

Answer: B. 80

Answer:

B) 80

Step-by-step explanation:

All triangles add up to 180 degrees

So to solve angle 3 the equation would be

Angle 3 = 180 - Angle 1 - Angle 2

Angle 3 = 180 - 30 - 70

Angle 3 = 80

how to acquire 401k step by step pls!!!

Answers

Decide how much to contribute.

Get a 401(k) match.

Consider a Roth 401(k).

Scrutinize autopilot settings.

Pick diversified 401(k) investments.

Keep 401(k) costs low.

Balance retirement saving with other expenses.

Roll over your 401(k) when you change jobs.

PLEASE HELP
14 in.
12 in.
14 in.
Find the area of the figure above.
[?] square inches

Answers

Answer:

280 inches

Step-by-step explanation:

The area can be found by looking at each shape individually.

The area of the square can be found my multiplying the length by the width...
14*14 = 196 square inches

The area of the triangle can be found by multiplying the base by the height and dividing by 2...
A = b*h/2 (or some text books say half of the base times the height)

We knot the height of the triangle is 12 inches, and the base is implied as it shares a side with a square which has 4 equal sides of 14 inches.  Therefore
A = (14*12)/2 = 84 square inches

We get the total area by combining the two segments...
Area (triangle) + Area (square) = Area (total)
84 + 196 = 280 square inches

Paxton multiplied 2/3 and 5/8 and came up with 30/24. What mistakes did Paxton make and what is the correct answer to Paxton's math problem?

Answers

Step-by-step explanation:

Paxton multiplied 2/3 times the 5 in the numerator. Then he multiplied the 3 and 8 in the denominator.

The correct way to solve this problem would be to multiply the numerators and then multiply the denominators. This would give you 10/24. You can then divide the numerator and deonminator by 2 and get 5/12.

Write a contextual story for the equation 2x+4=24

Answers

Answer:

Step-by-step explanation:

2X=24-4 x=20/2 x=10

Answer:

Amy had 4 erasers. Brianna gave her x more erasers which doubled the amount of erasers she had. How many erasers does Amy have in total?

Lydia got her learners permit and helped her parents drive to her grandparent's house and back. It took one hour less time to get there than it did to get back. The average speed on the trip there was 60 km/hour. The average speed on the way back was 40 km/hour. How many hours did the trip there take?

Select the correct response:
2 hours
3 hours
5 hours
4 hours

Answers

Using the relation between velocity, distance and time, it is found that the trip took 2 hours.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

On the first part of the trip, a time of t was taken, with an average speed of 60 km/hour, hence:

[tex]60 = \frac{d}{t}[/tex]

d = 60t

On the second part, a time of t + 1 was taken, with an average speed of 40 km/hour, hence:

[tex]40 = \frac{d}{t+1}[/tex]

d = 40(t + 1).

Since the distance is equal for both parts, we can equal the equations and find the time.

60t = 40t + 40

20t = 40

t = 2.

The trip took 2 hours.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

The population of NBA players is Normally distributed

with a mean of 6'7" and a standard deviation of 3. 9

inches. (Wikipedia) Greg is considered unusually tall for

his high school at 6' 3".

1. About what percent of NBA players are taller than Greg?

2. About what percent are shorter?

3. What minimum height would Greg have to be (IN INCHES) in order to be in the top 2. 5% of

NBA player heights?

Answers

Using the normal distribution, it is found that:

1. 85% of NBA players are taller than Greg.

2. 15% are shorter.

3. A height of 6'11'' would be needed.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

In inches, considering that a feet has 12 inches, the mean is of [tex]\mu = 6 \times 12 + 7 = 79[/tex].The standard deviation is of [tex]\sigma = 3.9[/tex].Greg is 6'3'', that is, X = 6 x 12 + 3 = 75.

Item 1:

The proportion is one subtracted by the p-value of Z, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{75 - 79}{3.9}[/tex]

[tex]Z = -1.03[/tex]

[tex]Z = -1.03[/tex] has a p-value of 0.15

1 - 0.15 = 0.85.

85% of NBA players are taller than Greg.

Item 2:

100 - 85 = 15% are shorter.

Item 3:

This is X when Z has a p-value of 1 - 0.025 = 0.975, so X when Z = 1.96.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.96 = \frac{X - 75}{3.9}[/tex]

[tex]X - 75 = 1.96(3.9)[/tex]

[tex]X = 83[/tex]

83 = 6 x 12 + 11.

A height of 6'11'' would be needed.

More can be learned about the normal distribution at https://brainly.com/question/24663213

+ (−) =

n =
HELP MEEEEEE PLSSS

Answers

Answer:

-

Step-by-step explanation:

a positive multiplied by a negative will always give you an answer of a negative number. thats the only logical answer i can think of

Answer:

n = -

Step-by-step explanation:

Note that:

Negative + Negative = Positive

Negative + Positive = Negative

Positive + Positive = Positive

Solve:

Given problem:

+ (-) =n

Hence, n = -

~Lenvy~

Write the rational number 46/1000 as a decimal

Answers

Answer:

0.046

Step-by-step explanation:

Answer:

0.046

Step-by-step explanation:

1. Is (2, 4) a solution of the equation y = x - 2?​

Answers

Answer:

No.

Step-by-step explanation:

If you plug in the numbers for the X and Y value, you will not receive the correct answer.

y = x - 2

(2, 4)

4 = 2 - 2

So, NO (2, 4) is NOT a solution of the equation y = x - 2.

This would only work if you were using addition instead of subtraction.

Which quadratic equation has no real roots? Choose exactly two answers that are correct. Question 12 options: –x2 2x – 6 = 0 –2x2 3x 4 = 0 2x2 x – 6 = 0 2x2 – x 3 = 0.

Answers

The quadratic equations that have real roots are [tex]-2x^2+3x+4 = 0[/tex] and  [tex]2x^2+x-6 = 0[/tex].

What is the discriminant of a quadratic equation?

The value of a discriminant of a quadratic equation shows how many roots f(x) have. If the value of the discriminant is greater than 0 then the quadratic equation has real and distinct roots and if the value of the discriminant is equal to 0, then the quadratic equation has real and same roots. In case the value of the discriminant is less than zero then the quadratic equation will have no real roots.

In order to know if the quadratic equation has real roots or not, we need to find the discriminant of the given quadratic equations,

A.) [tex]-x^2+2x -6 = 0[/tex]

Here, a= -1, b=2 and c=-6

[tex]D = b^2 -4ac[/tex]

[tex]D = 4 -24\\D = -20[/tex]

As the value of the discriminant is negative it will not have real roots.

B.) [tex]-2x^2+3x+4 = 0[/tex]

Here, a= -2, b=3 and c=4

[tex]D = b^2 -4ac[/tex]

[tex]D = 9 +32\\D = 41[/tex]

As the value of the discriminant is positive it will have real roots.

C.) [tex]2x^2+x-6 = 0[/tex]

Here, a=2, b=1 and c=-6

[tex]D = b^2 -4ac[/tex]

[tex]D = 1 +48\\D =49[/tex]

As the value of the discriminant is positive it will have real roots.

A.) [tex]2x^2 -x+3 = 0[/tex]

Here, a=2, b=-1 and c=3

[tex]D = b^2 -4ac[/tex]

[tex]D = 1-24\\D = -23[/tex]

As the value of the discriminant is negative it will not have real roots.

Learn more about Discriminant:

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The sum of number is 16 and the sum of their square is 130.Find the number​

Answers

let y=other number
..
x-y=16
x^2+y^2=130
..
x=y+16
(y+16)^2+y^2=130
y^2+32y+256+y^2=130
2y^2+32y+126=0
y^2+16y+63=0
(y+7)(y+9)=0
y=-7
x=y+16=9
or
y=-9
x=y+16=7
..
The two pairs of numbers are: (9 and-7) and (7 and-9)

Show your work. The height of players in inches for a basketball team is: 85. 83. 76. 78. 89. 80. 79 81. 74. 82, 82, 84, 80, 84 The height of players in inches for a soccer team 7 70, 65, 79, 80, 69, 66, 71, 70, 74, 62, 65, 74, 74. 79, 70, 71, 72, 69, 77, 74, 70, G7, 67, 72 What is the approximate mean height difierenco between the two sports? 1. Find the mean of the basketball team. 2.5 points 2. Find the mean of the soccer team. 2.5 points 3. What is the approximate mean height difference between the two sports? 5 points​

Answers

"Basketball players are generally taller.

Basketball player heights vary slightly more.

Step-by-step explanation:

I hope this helps!

Basketball players are taller because the average (mean) of basketball players is greater than soccer players.

Basketball player heights vary more because the MAD is greater or more than the soccer players."

im just trynna see if im correct but this is urgentt

Answers

Answer:

dont have question

Step-by-step explanation:

Answer:

161.557- so the second one

Step-by-step explanation:

Mary says that 2−3 is equal to −8. Explain what Mary is doing wrong.

Answers

Answer:

2-3=-1

Step-by-step explanation:

Since 2 is only 1 number below 3

ussaully we would do 3-2=1 but this is 2-3 so the answer is -1

Oilvie has raised 3,428 to buy toothpaste to place in care packages. Each tube cots $2 about how many tubes of toothpaste can she buy

Answers

3428/2=1714

She can but 1714 tubes of toothpaste.

Jim had €80 he spent 0.3 of it how much did he spend?

Answers

Answer:

€24

Step-by-step explanation:

If he had €80 and spent 0.3 of it, he spent 30% or 30/100 of it.

€80*[tex]\frac{30}{100}[/tex] =  €80*[tex]\frac{3}{10}[/tex] =  €24.

Please mark as brainliest!

Felicidad grew 17 centimeters in the past year, and is now 1. 84 meters tall

Answers

Answer:

1.67

Step-by-step explanation:

work out the value of angle x

Answers

Answer:

x = 45°

Step-by-step explanation:

the triangle has 2 congruent sides and is therefore isosceles with the base angles being congruent, both x

the sum of the 3 angles = 180° , then

x + x + 90° = 180° ( subtract 90° from both sides )

2x = 90° ( divide both sides by 2 )

x = 45°

What is the approximate volume of the cylinder
A 324 cm3
B 452.16 cm3
C 734.76 cm3
D 1, 017.36 cm3

Answers

Answer:

B 452.16 cm^3

Step-by-step explanation:

the volume of the cylinder is 16π x 9, and if we replace π with 3.14, the answer will be 452.16 cm^3

Step-by-step explanation:

[tex]v = \pi \: r {}^{2} h[/tex]

v = ?

r = 4 cm

h = 9 cm

[tex]v = \frac{22}{7} \times 4 {}^{2} \times 9[/tex]

[tex]v = \frac{22}{7} \times 16 \times 9[/tex]

[tex]v = \frac{3168}{7} [/tex]

[tex]v = 452.57 \: cm {}^{3} [/tex]

if this helped pls give brainliest

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