part 1: the following formula gives the area of a circle, A, dependent on its radius, r.

A = πr²

solve the equation for the variable r.


part 2: using the answer from the previous question, ^^ state the value of ‘r’ if the area of the circle were equal to 37 square feet.

(you can use 3.14 to approximate the value of π in the equation”

Answers

Answer 1

Answer:

3.43ft

Step-by-step explanation:

Step one:

given data

the expression for the area is

A = πr²

make r subject of the formula

divide both sides by π

A/π =r²

square root both sides

r=√A/π

step two:

given that  A= 37 ft^2

r= √37/3.142

r=√11.77

r=3.43ft


Related Questions

Find the measurement of
an interior angle of a regular
decagon (10-sided figure).

Answers

Answer:

144°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Sum of Angles: 180(n - 2)

Step-by-step explanation:

Step 1: Define

Number of sides n = 10

Step 2: Find

Substitute:                    180(10 - 2)Subtract:                       180(8)Multiply:                        1440°

Step 3: Find 1 angle

We have 10 sides.

Divide:                    1440/10 = 144

pls Help. If you do I will give the first person who answers 100 points

Answers

Answer:

2%

Step-by-step explanation:

so the point [tex](\sqrt{3},\sqrt{7})[/tex] is in the circumference so the distance from (0,0) to this point will be the radius of the bullseye

[tex]x=\sqrt{(\sqrt{3}-0)^2+(\sqrt{7}-0)^2}\\\\x=\sqrt{3+7}\\\\x=\sqrt{10}[/tex]

so that's the radius

so the area will be

[tex]A=\pi x^2\\\\A=\pi (\sqrt{10})^2\\\\A=10\pi[/tex]

so the percentage is

[tex]P=\frac{A}{1600}\\\\=\frac{10\pi}{1600}\\\\=\frac{\pi}{160}\\\\P\approx 0.02[/tex]

so it's 2%

PLZ HELP ME ILL GIVE BRAINLIEST, ITS ON THIS LINK https://brainly.com/question/19931314

Answers

Answer:

hm okay

Step-by-step explanation:

write and equation of the line that passes through 2,2 and is parallel to the line y=7x

Answers

Answer:

y = 7x+2

Step-by-step explanation:

Help!!!!!!!!!!!!!!!!!

Answers

Answer:

7.5 i got

Step-by-step explanation:

60%8= 7.5

Answer: the shaded area is 1/6 of the circle and is 60 degrees thats all i know sorry if not right

Step-by-step explanation: HAVE A GREAT DAY

What is Eight times the sum of a number and -192 gives 96?

Answers

Answer:

Step-by-step explanation:

8x-192=96

8x-192+192=96+192

8x=288

8x/8=288/8

x=288/8

36

The unknown number is 204.

Important Information:

Eight times the sum of a number and -192 gives 96Linear equation:

Let [tex]x[/tex] be the unknown number.

Sum of a number and -192 is

[tex](x+(-192))=x-192[/tex]

Eight times the sum of a number and -192 gives 96.

[tex]8(x-192)=96[/tex]

Divide both sides by 8.

[tex]x-192=12[/tex]

[tex]x=12+192[/tex]

[tex]x=204[/tex]

Therefore, the unknown number is 204.

Find out more about 'Linear equation' here:

https://brainly.com/question/16848738

Find percentage of .20

Answers

Answer: The percentage of 0.20 is 20%.

Step-by-step explanation: 0.20 represents the 20% of 100%.

Answer: 20%

Step-by-step explanation: You just move the dot 2 times to the right and it will be 20%

If s varies directly as t2, and s = 294 when t = 7, find s when t is 9

Answers

Answer:

If you need to find s when t is 9, its simple.

Step-by-step explanation:

All ypu need to do is see what t is

t equals 2

you want to find what s is when t is 9

when t is 2, s is 294

when t is 9, all you have to do is find what times 2 equals 9, then times that number by 294

Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second. After 5 seconds, how much farther will Horse A have traveled? Explain your reasoning. *

Answers

Answer:

Horse A will have traveled 20 feet farther

Step-by-step explanation:

Horse A has traveled 160 feet in 5 seconds, and Horse B has traveled 140 feet in 5 seconds, and 160-140=20

If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?
O mZA= 15° and mzC= 35
O mZA+ mZB = 155°
O mZA+ mzC = 60
OMZA= 20° and m2C=30

Answers

Answer:

Option B m<ZA+m<ZB = 155° is correct option.

Step-by-step explanation:

We know that sum of angles of triangle is equal to 180°

And Isosceles triangle, 2 angles are same

So, let  Angle 1 = x

Angle 2 = x

Angle 3 = 130°

Finding values of angle x

x+x+130=180

2x=180-130

2x=50

x=25

So, Angle 1 = 25 °

Angle 2 = 25°

As, angle B is greater than 90°, the sum of angles added must be greater than 90°

So, Option A, C and D can't be correct, as their sum is less than 90°

Option B m<ZA+m<ZB = 155° is correct option.

Verify:

m<ZA = 25° (as found earlier)

m<ZB = 130° (given)

So, m<ZA+m<ZB = 155°

25°+130° = 155°

The true statement about the given angles of the triangle is m∠A + m∠B = 155⁰.

Sum of angles of Isosceles triangle

The sum of angles of Isosceles triangle must add up to 180 degrees.

Base angles of the Isosceles triangle

Let the base angles = x and x

x + x + 130 = 180 (sum of angles in a triangle)

2x + 130 = 180

2x = 180 - 130

2x = 50

x = 25

Given angle B = 130°

B + A = B + C = 130 + 25 = 155°

Thus, the true statement about the given angles of the triangle is m∠A + m∠B = 155⁰.

Learn more about angles of Isosceles triangle here: https://brainly.com/question/155625

Answer this please and get points

Answers

Answer:

She has 5 nickles

Step-by-step explanation:

if she has 3 quarters, that amounts to 75 cents. The question states that the amount of nickles is the (the number of quarters) + 2, with this thought in mind, she would have 5 nickles, each worth 5 cents each, equaling out to 25 cents. the original 75 cents of the quarters and now the 25 cents from the nickels equals 100 cents (A dollar)

Answer:

60 because she had 50 nickels and 2 extra making 60 nickels

Please help me thank you

Answers

Answer:

90

Step-by-step explanation:

90

What is the equation in slope-intercept form of a line that is perpendicular
to y = 1/3x +2 and passes through the point (3, 1)?

Answers

Y=-3x+2 here is the answer

In a recent survey of 1,700 Game Stop customers 884 of them responed that they play video games on their
personal computer. What percent of the customers surveyed responded that they play video games on their
personal computer?

Answers

Answer:

52% play video games on their personal computer.

Step-by-step explanation:

884/1700 = 52%

Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?

Answers

Answer:

X=1 = i√19        Put a vertical line through the second = sign

Step-by-step explanation:

when writing this .....put a line under all the + signs 0k and / is divided by 2

2 + √4-4(1)(20)

2 + √4-80 /2

x=2 +√76/2

x=2 +2i√19    the twos cancel out

1 +i√19

A cereal manufacture has a machine that files the boxes. Boxes are labeled as 16 ounces, which is the target fill (x). The lawyers want to fill the boxes more to avoid lawsuits regarding under filling and the company president vetoes that plan, saying the company should be giving away less free cereal, not more. Her goal is to set the machine no higher than 16.2 ounces and have only 4% underweight boxes. The only way to accomplish this is to reduce the standard deviation. What standard deviation must the company achieve

Answers

Answer:

σ = 0,11

Step-by-step explanation:

We assume the boxes filling process follows a Normal Distribution, then

z(score) = ( X - μ ) /σ     or   z(score) = ( μ - X ) /σ  

depending of the tail of the curve ( as we are evaluating boxes below mean we need to use the second equation )

where   μ  and σ are the mean and the standard deviation of the population

As the goal is to have boxes with no higher than 16,2 ou and only  4% of underweight boxes

4%   is 0,04   that should be the area under the bell shape curve then from z table we find z(s)

z(s) = - 1,75

z(s)  = ( μ - X )/σ

- 1,75 = ( 16,2 - 16 ) / σ

σ = 0,2 / 1,75

σ = 0,11

Work out the percentage change to 2 decimal places when a price of £12 is increased to £15.99.

Answers

Answer:

2/15.99 = 0.34 euros is the right answer.

3. Determine whether the set of numbers can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right. 16, 30, 33

Answers

Answer:

all of them are acute

.......

Answer:

yes. it will be an acute.

The pair of triangle are similar What is the value of X

Answers

Answer:

cscs

Step-by-step explanation:

aasdadx

find 6.5% of 5.00 by multiplying $5 by 0.065. Round to the nearest cent

Answers

Answer:

0.32

Step-by-step explanation:

Because I know

Answer:

33 cents.

Step-by-step explanation:

Expand the expression.
0.2(y + 2)

Answers

Answer:

x=0.2(y+2)

Step-by-step explanation:

After expanding the given expression, the result obtained is equal to 0.2y + 0.4.

What is an expression?

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. A mathematical operation like reduction, addition, multiplication, or division is used to include terms in an expression.

As per the given expression in the question,

0.2(y + 2)

Now, multiply 0.2 by each value present inside the bracket,

So, the expanded form will be,

0.2y + 0.4

To know more about Expression:

https://brainly.com/question/14083225

#SPJ2

2. Which of the following vectors is equal to vector with initial point (3, 7) and
terminal point (-5, -3)?
f. u= <2,-10>
g. u = <-2,-4>
h, u =<-8,4>
j. u = <-8,-10>

Answers

Answer:

j

Step-by-step explanation:

We can subtract 3 in the x-coordinate and 7 in the y-coordinate for both points.

(3-3,7-7) = (0,0)

(-5-3,-3-7) = <-8,-10>

Hope this helps!

A veterinarian knows that the supplement glucosamine is beneficial for dogs’ joints. He wants to determine if a supplement with both glucosamine and chondroitin would be more beneficial than glucosamine alone for dogs’ joint health. The veterinarian asks the owners of dogs with known joint issues if they would be willing to have their dog participate in his study, and 32 owners agree to the study. Sixteen dogs are randomly assigned to the glucosamine group and the remaining 16 are assigned to the glucosamine with chondroitin group. After 6 months, the dogs’ joint health is measured for each treatment and compared. The results of the study were inconclusive and the veterinarian decides to do the experiment again. He gets 24 volunteers and decides that he needs to use a randomized block design.

Which variable would not be an appropriate variable for blocking?

age
size
color of coat
breed

Answers

Answer:

Colour of coat

Step-by-step explanation:

We are told that the veterinarian wants to determine if a supplement with both glucosamine and chondroitin would be more beneficial than glucosamine alone for dogs’ joint health.

In randomized block design, blocking is the arrangement of experimental units in groups known as blocks which are similar to one another.

Looking at the options given, by blocking on size, age or dog breed, the source of variability which led to the inconclusiveness initially would be controlled which then leads to a greater accuracy in result. Since there can be big, medium and small size of dog: there can be older or younger dogs: there can be different type of dog breeds as well. All these can likely affect the results of the experiment.

Whereas, blocking on colour of coat is not an appropriate variable because it has no effect on the experiment.

PLEASE HELP ASAP WILL GIVE BRAINLEIST

Answers

y=9

x=12

hope its right pls do mark me the brainleist

Please Help!!! :( I don't understand

Answers

Answer:

0.425

Step-by-step explanation:

40x2.5=100

17x2.5=42.5

So the fraction is 42.5/100 which is 0.425

Please help me out ill give more points!

Answers

Yes they did because if you divide 47 by 3, you get 15.667, if you divide 141 by 9 you also get 15.667, so both Diego and Andre paid the same rate

Determine whether the statement below is true or false. Justify the answer. An orthogonal matrix is invertible. Choose the correct answer below. A. The statement is false. Only nonzero orthogonal matrices are invertible. B. The statement is false. Only orthogonal matrices with orthonormal rows are invertible. C. The statement is true. An orthogonal matrix is a square invertible matrix U such that . D. The statement is true. An orthogonal matrix is a square invertible matrix U such that

Answers

I wish I could help you but I doing this so I can ask sum

Answer:

not so sure about this one

What is the zscore with a confidence level of 95% when finding the margin of error for the mean of a normally
dstrbutad populaticn from a sarple?
O.99
1.65
1.96
2.58

Answers

Answer:

Z score with a confidence level of 95% is 1.96

Step-by-step explanation:

The computation of the z score with the confidence level of 95% is shown below:

While determining the margin of error for the normally distributed population from the sample, the z score of the confidence level of 95% is 1.96

The same is to be considered

Therefore the third option is correct

1/6 x 2/3? Tell me exactly how you got this answer like divide or multiply.

Answers

Answer:

?

Step-by-step explanation:

nvm idk sorry lol

Answer:

1/9.

Step-by-step explanation:

I just serperated the farctions. 1 x 2 = 2 so that's the numertaor. And 3 x 6 is 18 so that's the denominator. The answer then becomes 2/18. This is where you simplify. 2 divided by 2 is 1. And 18 divided by 2 is 9. So the answer is 1/9.

3x-(8x+4)=
pppppppppppppppppppppppllllllllllllllllllssssssssss

Answers

Answer:

-5x+4???

Step-by-step explanation:

I DON'T KNOW I'M SORRY

Answer:

-5x - 4

Step-by-step explanation:

3x - (8x + 4)

3x -8x -4

-5x - 4

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