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MrRa [10]
3 years ago
7

A swimming pool is in the shape of a rectangular prism. the pool is 4 feet deep. its length is 4 times its width. the volume of

the pool is 6400 cubic feet. find the length and width of the pool.
Mathematics
1 answer:
makvit [3.9K]3 years ago
7 0
First you will have to use the equation length*width*height. The just plug in 4 for the height, then since the length is 4 times longer plug in 4x, and the width would just be x. SO your equation would be 4*4x*x=6400 ft^3. Then foil it out to get 16x^2=6400, then square root 6400 which will give you80, then divide by 16 so x=5 feet^3. That is your width but you length is 4 times that amount. So for length just do 4(5)=20 feet^3
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In a​ week, 12 hens laid 60 eggs. What is the unit rate for eggs per​ hen? The unit rate is ______ ​egg(s) per hen
salantis [7]

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3 years ago
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Need help with all questions !!! Get a brainiest answer and a thanks !!
stich3 [128]
1) carrots= 5/12 peas= 2/12 potatoes=1/12
corn= 4/12

2) there are more carrots than peas. there are more corn than potatoes.

3) 2/3

4) separate like number 3 but instead of corn put carrots and leave the peas.
6 0
3 years ago
Find the area of each figure. round to the hundredths place when necessary
notsponge [240]

Answer:

115.48m^{2}

Step-by-step explanation:

This shape can be split into two distinct shapes

Two halves of a semi circle, and a rectangle in between

Circle:

Putting both halves of the semi circle together will give you a full circle. The diameter of the circle is given (7m).

The area of a circle is A = π r^{2}

The radius, r, is half of the diameter, so 7 / 2 = 3.5m

A = π r^{2}

A = π * 3.5^{2}

A = 38.38m^{2}

Rectangle:

The area of a rectangle is A = h b

The height, h, is known at 7m

The base, b, can be found by removing the length from the dot to the end of the semi circles. This length is the radius of the semi circles, 3.5m

Removing the radius from the total length given

18 - 3.5 - 3.5 = 11m

The base is 11m

A = h b

A = 7 * 11 = 77m^{2}

Total Area = Circle area + Rectangle area

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6 0
3 years ago
A manufacturer produces bolts of a fabric with a fixed width. A quantity q of this fabric (measured in yards) that is sold is a
BigorU [14]

Answer:

R'(20) = 2000

Step-by-step explanation:

We are given the following in the question:

Quantity, q

Selling price in dollars per yard, p

q=f(p)

Total revenue earned =

R(p)=pf(p)

f(20)=13000

This means that 13000 yards of fabric is sold when the selling price is 20 dollars per yard.

f′(20)=−550

This means that increasing the selling price by 1 dollar per yards there is a decrease in fabric sales by 550.

We have to find R'(20)

Differentiating the above expression, we have,

R'(p) = \displaystyle\frac{d(R(p))}{dp} = \frac{d(pf(p))}{dp} = f(p) + pf'(p)

Putting the values, we get,

R'(p) = f(p) + pf'(p)\\\\R'(20) = f(20) + 20(f'(20))\\\\R'(20) = 13000 + 20(-550) = 2000

7 0
3 years ago
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