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Olegator [25]
3 years ago
13

A parachutist's speed during a free fall reaches 90 miles per hour. What is this speed in feet per second? At this speed, how ma

ny feet will the parachutist fall during 10 seconds of free fall?
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0

Answer:

A) 132 feet per second , B) 1320 feet

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On a trip, Alexander bought a ping-pong racket for $13. With the tax, he paid $14.04. What is the tax rate, in percent?
Fed [463]

Answer:

8% tax rate.

Step-by-step explanation:

\frac{14.04}{13} =1.08

The 8% (0.08) is the tax rate because the 100%, or 1.00, is the original price of the racket, which was $13.

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The absolute value of .375 + -5/8
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The real answer is -0.25
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Joe spend $350 on bills monthly. Of this total and 11% for car insurance, 2/9 is for cable, 1/10 is for phone. How much money do
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11% = 11/100
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2 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

And the area is  A(s) = [( 6 - x ) /4]²

Total area as function of x is

A(t)  = A(c) + A(s)

A(x)  =  x²/4π  + [ ( 6  -  x  ) / 4 ]²

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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Find the missing number in the pythagoras triplet. 9,12,___
CaHeK987 [17]
15

add 3 to 9 and it’s 15
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