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k0ka [10]
3 years ago
10

Can someone please help me answer this question.?

Mathematics
1 answer:
SashulF [63]3 years ago
3 0

Answer:

d=8.0 meters

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

We are given the volume and the height

117.23 and the height 7

117.23 = 1/3 *3.14 *r^2 * 7

117.23 = 7.3266666666 *r^2

Divide each side by 7.3266666666

117.23/7.3266666666 = 7.3266666666 *r^2/7.3266666666

16.00045496 = r^2

Take the square root of each side

sqrt(16.00045496) =sqrt( r^2)

4.000 = r

We found the radius but it wants the diameter

d = 2*r

d =2*4.0

d=8.0 meters

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Taylor needs to repair her car but cannot spend more than $260 for the repairs. The part needed for the repair will cost $80 and
Oksanka [162]

Answer: 6 hours

Step-by-step explanation:

Taylor cannot spend over $260.

Subtract the cost of the part needed for the repair:

= 260 - 80

= $180

$180 is left for fixing the car after buying the part.

As the labor costs $30 and now she cannot exceed $180 for labor, the total number of hours the mechanic can work is:

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3 years ago
A wire 6 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the
zhenek [66]

Answer:

Used wire in circle  x = 2.64 m

Used in square   L - x = 3.36 m

Total wire used 6 m

Step-by-step explanation:

We have a wire of 6 meters long.

We will cut it a distance x from one end, to get two pieces

x    and   6 - x

We are going to use the piece x  to get the circle then

So Perimetr of a circle is 2π*r    (r is the radius of the circle) then:

x = 2*π*r    ⇒    r = x/2*π

And area would be  A(c) = π* (x/2*π)²   ⇒ A(c) = x²/4π

From 6 - x we will get a square, and as the perimeter is 4 times the side

we have

( 6 - x )/ 4  is the side of the square

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A(x)  =   x²/4π  + (36 + x² - 12x) /16

A(x)  = 1 / 16π [ 4x² + 36π + πx² -  12π x ]

Taking drivatives on both sides of the equation we get:

A´(x) = 1/ 16π [8x +2πx - 12π]

A´(x) = 0    ⇒      1/ 16π [8x +2πx - 12π]  = 0

[8x +2πx - 12π]  = 0

8x + 6.28x -  37.68  = 0

14.28x - 37.68 =  0      ⇒  x  = 37.68 /14.28

x = 2.64 m   length of wire used in the circle

Then the length L  for the side of the square is  

(6 - x )/4    ⇒ ( 6 - 2.64 )/ 4   ⇒ 3.36 / 4    

L = 0.84 m   total length of wire used in the square is

3.36 m

And total length of wire used is 6 m

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3 years ago
Andrew has a four-year college loan for $20,000. The lender charges a simple interest rate of 5 percent. How much interest will
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Answer:

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Answer:

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