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Ahat [919]
3 years ago
5

A model of a rectangular stove top with four circular burners is shown. The side lengths of the stove top and the diameters of t

he burners are labeled.
Which measurement is the best estimate of the area in square inches of the stove top that does not include the area of the burners?
A) 108 in.2
B) 492 in.2
C) 420 in.2
D) 528 in.2

Mathematics
2 answers:
Mashcka [7]3 years ago
8 0

Answer:

C) 420 in^2

Step-by-step explanation:

The stove top has a rectangular shape, so its total area is given by:

A=Lw

where

L = 24 in is the length of the stove top

w = 22 in is the width of the stove top

However, here we have to subtract the area of the 4 circular burners. The area of each circular burner is given by

A'=\pi r^2

where r is the radius of each burner. Since the diameter is 6 inches, the radius is half that value, so

r = 3 in

Therefore we can write the net area of the stove top that does not include the area of the burners as

A_{net} = A-4A'

And substituting, we find

A_{net}=Lw-4\pi r^2=(24)(22)-4\pi (3)^2=415 in^2

So the closest estimate is

C) 420 in^2

dangina [55]3 years ago
5 0

Answer:

420 in^2

Step-by-step explanation:

The answer is about 415. But it's not in the choices, so you round up to 420 in^2

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One fifth of the sum of 3 and a number
Dominik [7]

Answer:

1/5(x+3)

Step-by-step explanation:

That is, assuming the number=x

3 0
3 years ago
A bakery sold 101 cupcakes in one day. The head baker predicted he would sell 81 cupcakes that day. What was the percent error o
Hoochie [10]

Answer:

19.8% is the percent error of the baker's prediction.

Step-by-step explanation:

We are given the following in the question:

Total number of cupcakes sold in 1 day = 101

Predicted number of cupcakes sold = 81

We have to find the percent error of the baker's prediction.

Percentage error =

=\dfrac{\text{Actual value - Predicted value}}{\text{Actual values}}\times 100\%

Putting values, we get

=\dfrac{101-81}{101}\times 100\%\\\\=19.8\%

Thus, 19.8% is the percent error of the baker's prediction.

6 0
3 years ago
The perimeter of a rectangle is 24 inches. The length is 2 inches. Use the numbers below to complete an equation to solve for th
d1i1m1o1n [39]
24-2-2= 20. 20/2 = 10 width is ten
6 0
3 years ago
If f(x) = x^2 and g(x) = 1/2x + 3, find g(f(-1)).<br> A.) -1<br> B.) 1/25<br> C.) 1/5<br> D.) 1
Veseljchak [2.6K]
F(x)=x^2
x=-1→f(-1)=(-1)^2→f(-1)=1

g(x)=1/(2x+3)
g(f(-1))=g(1)→x=1→g(1)=1/[2(1)+3]=1/(2+3)→g(f(-1))=1/5

Answer: Option C.) 1/5
5 0
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Alex drew a quick sketch of the outline of his garden. What is the area of the garden in square meters
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Answer:

218

Step-by-step explanation:

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