Find the circumference of a circle.

If she spent a total of $44.25 on fabric, what was the cost per yard? She bought 14 3/4. Explain how you solved

Deffense [45]

$44.25 \div 14.75 = 3$
$44.25 total divided by how many yards (14.75) = $3/yard

6 0

3 years ago

An apartment complex has a floor plan with dimensions shown. To effectively air condition a room, 20 BTU’s are required for ever

kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

It is made up of a semi-circle a rectangle, and a trapezoid.

Step 2:

The area of a semi-circle $=\frac{ \pi r^{2} }{2} .$

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle $=\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079$ square feet.

The area of a rectangle $= (l)(w).$

The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle $= (l)(w) =(22)(20) = 440$ square feet.

The area of a trapezoid $=\frac{a+b}{2} (h).$

Here $a=12, b= 20, h= 3$ .

The area of a trapezoid $=\frac{12+20}{2} (3) = 48$ square feet.

Step 3:

The total area of the floor plan $=157.079+440+48 = 645.079$ square feet.

If 20 BTU's are required for a single square foot,

The number of BTU's for 645.079 square feet $= (645.079)(20)=12,901.58$ BTU's.

Rounding this off, we get 12,900 BTU's required to cool the room effectively.

7 0

3 years ago

Find the unit rate of miles per gallon for these vehicles

Anna35 [415]

Answer:

Step-by-step explanation:

o find the unit rate , divide the numerator and denominator of the given rate by the denominator of the given rate.

start with the rate of miles to gallons . then divide , write as a rate.

hope this helps.

where are the following vehicles name

8 0

2 years ago

Again help, i don’t understand this at all

Semenov [28]

Answer:

<em>The difference quotient of f is 8. </em><em>Option C</em>

Explanation:

<u>Difference Quotient</u>

Given a function f(x), the difference quotient is defined as

$\displaystyle d=\frac{f(h+h)-f(x)}{h},\ h\neq 0$

The function provided in the question is

$f(x)=8x+1$

Find f(x+h) by substituting x by x+h:

$f(x+h)=8(x+h)+1$

$f(x+h)=8x+8h+1$

Now compute:

$\displaystyle d=\frac{8x+8h+1-(8x+1)}{h}$

Operating:

$\displaystyle d=\frac{8x+8h+1-8x-1}{h}$

Simplifying:

$\displaystyle d=\frac{8h}{h}$

d=8

A. Incorrect.

This choice is different from the answer.

B. Incorrect.

This choice is different from the answer.

C. Is correct

The difference quotient is 8 as explained above.

D. Incorrect.

This choice is different from the answer.

4 0

3 years ago

Chloe drives from her house to her grandma's house 64 miles away in an hour and 35 minutes. How fast was she driving on average?

Nataly [62]

Answer:

<h2>She was driving at 40.42 mph on average</h2>

Step-by-step explanation:

In this exercise, for us to find the speed that Chloe drives with we need to first convert the time she spent driving to hours completely since the time given is in hours and minute

Data

distance= 64 mile

time= 1hr 35min

to covert 1 hr 35 min to hours we have

= 1 + 35/60 (we are converting 35 min to hrs)

= 1+0.583

= 1.583

hence speed= 64/ 1.583

speed= 40.42 mph

She was driving at 40.42 mph on average

5 0

3 years ago