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FinnZ [79.3K]
3 years ago
5

A parabolic listening device is shaped such that the depth of the bowl depends on its radius and can be represented by the curve

D(r)= 0.145r^2. What is the radius when the depth is 8 inches? Round to the nearest thousandth of an inch
Mathematics
2 answers:
Rus_ich [418]3 years ago
4 0

Answer:

7.428 inches

Step-by-step explanation:

dem82 [27]3 years ago
4 0

Answer : The radius of bowl is, 7.428 inches.

Step-by-step explanation :

As we are given that:

Depth of the bowl = D(r) = 0.145 r²

Given:

Depth of the bowl = D = 8 inches

Now put all the given values in the above expression, we get the radius of bowl.

D(r)=0.145\times r^2

8\text{ inches}=0.145\times r^2

r^2=\frac{8\text{ inches}}{0.145}

r=\sqrt{\frac{8\text{ inches}}{0.145}}

r=7.428\text{ inches}

Therefore, the radius of bowl is, 7.428 inches.

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What value of x makes this equation true ? -6x+3=45
Sveta_85 [38]

Answer:

x = -7

Step-by-step explanation:

-6x + 3 = 45

First, we need to get rid of the 3 by subtracting it by 3. We need to do the same to the number on the other side.

-6x + 3 = 45

      -3    -   3

-<em>6x = 42</em>

Then, to iolate the x, we need to divide -6 by itself to cancel the number out and get x alone. We also need to divide 42 by -6 as well.

\frac{-6x}{-6} = \frac{42}{-6}

42 divided by -6 is -7.

x=-7

I hope this helps!

6 0
3 years ago
What is the area of a piece of plywood measuring 2 feet 8 inches long by 2 feet 4 inches wide? Give your answer in square inches
Kruka [31]

Given

piece of plywood measuring 2 feet 8 inches long by 2 feet 4 inches wide.

What is the area of a piece of plywood .

To proof

Here plywood shape in the form of rectangle.

Formula

Area of rectangle = Length×Breadth

As given in the question

Length =2 feet 8 inches

Breadth = 2 feet 4 inches

First convert feet into inches

1 feet = 12 inches

2 feet 8 inches = 2×12 + 8

                       =  32 inches

Also

2 feet 4 inches  = 2×12 +4

                          = 28 inches

put is in the above formula

Area of plywood = 32 ×28

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Therefore option (b) is correct

Hence proved


8 0
3 years ago
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Alla [95]

12, Find the prime factorization of 60

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144 = 2 × 2 × 2 × 2 × 3 × 3

To find the gcf, multiply all the prime factors common to both numbers:

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liq [111]

Answer:

320m

Step-by-step explanation

a rectangle has four sides, two pairs of identical sides. So two sides are 16. So that adds up to 32. Perimeter is all sides added together. so it has to add up to 72. 72 minus 32 is 40, so two of the sides have to be 40. Area is length times width, so 16 times 20, which is 320.

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Neporo4naja [7]

Answer:

6.125

Step-by-step explanation:

Divide 24.50 by 4!

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