What percent of the students ride on the bus ?

a 1ft long piece of wire needs to be divided into two pieces which will form the shape of a circle and a square. Determine the l

yan [13]

Answer:

Length of wire for circle is 0.44 ft

Length of wire for square is 0.56 ft

Step-by-step explanation:

Let x is circumference of the circle

then

(1-x) = perimeter of the square

Find the radius of the circle

r = (x/2.π)

Find the area of the circle

a = π(x/2π)^2

a = π(x^2/4π^2)

Cancel π

a = x^2/4π

Find the area of the square:

a = (1-x/4)^2

a = (1-2x+x^2)/16

Total area

A = (x^2/4π)+(1-2x+x^2/16)

A = 4x^2+3.142-6.284x+3.142x^2

A = 7.142x^2-6.284x+3.142

Find the axis of symmetry [x = -b/(2a)]

x = -(-6.284)/{2.(7.142)}

x = 6.284/14.284

x = 0.44 ft, the piece of wire creating a circle

and

1 - 0.44 = 0.56 ft, the piece of wire creating the square

These lengths should give minimum area of the circle and square together

7 0

2 years ago

The house Trevor's family lives in has 6 66 people (including Trevor) and 3 33 bathrooms. In the past month, each person showere

yKpoI14uk [10]

Answer:

The amount Trevor's family pay per minute on shower water is $0.005.

Step-by-step explanation:

The cost of water is,

Cost = $0.20/liter

Amount of water used over the entire month:

Amount of water used = 72 liters

Compute the total water cost as follows:

Total water cost = Amount of water used × Cost

= 72 × 0.20

= $14.4/liter

The average number of minutes each person showered is:

Average number of minutes = 480 minutes.

The number of people in Trevor's house:

N = 6

Compute the total amount of time the 6 person showered as follows:

Total amount of time = Average number of minutes × N

= 480 × 6

= 2880 minutes

Compute the pay per minute on shower water as follows:

Pay per minute on water = Total water cost ÷ Total amount of time

= $14.4 ÷ 2880

= $0.005

Thus, the amount Trevor's family pay per minute on shower water is $0.005.

4 0

3 years ago

What is the final amount of a $300 investment earning 4.5% interest compounded quarterly for 3 years?

wel

The formula A=P(1+(r/n))^nt should be followed when answering
300=P
R=0.045
N=4
T=3
300(1+(0.045/4))^4x3
Answer is=343.102

7 0

2 years ago

Find the measure of c in each figure below using the side lengths given

kiruha [24]

Answer:

Step-by-step explanation:

take angle C as reference angle

using cos rule

cos C=adjacent/hypotenuse

cos C=21/75

cos C=0.28

C= $cos^{-1}$ 0.28

C=73.7 degree

3 0

3 years ago

A function is shown: f(x) = 36x² - 1.

givi [52]

Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)

<h3>What are equivalent functions?</h3>

Equivalent functions are different functions that have equal values when evaluated and compared

<h3>How to determin the equivalent function that best shows the x-intercepts on the graph?</h3>

The function is given as:

f(x) = 36x^2 - 1

Express 1 as 1^2

f(x) = 36x^2 - 1^2

Express 36x^2 as (6x)^2

f(x) = (6x)^2 - 1^2

Apply the difference of two squares.

This is represented as:

(a + b)(a - b) = a^2 - b^2

So, we have the following equation

f(x) = (6x - 1)(6x + 1)

Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)

Read more about equivalent function at:

brainly.com/question/2972832

#SPJ1

8 0

2 years ago