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just olya [345]
3 years ago
15

A new car usually costs £8500. Henry gets a discount of £1000. What is the discount as a percentage of the the usual cost? Give

your answer to 1 decimal place.
Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0

Answer:

the answer is 8500×0.1177= 1000.45

0.1177%

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8.4.49 A cow is tethered to one corner of a square​ barn, 19 feet by 19 ​feet, with a rope 160 feet long.​ (See the illustration
SashulF [63]

Answer:

20096 ft^2

Step-by-step explanation:

We are given that

Length of rope=l=160 feet

Radius of quadrant of circle=r=160 feet

We have to find the  maximum grazing area of the cow.

We know that

Area of quadrant of circle=\frac{1}{4}\pi r^2

Where \pi=3.14

Using the formula

Area grazed by cow=\frac{1}{4}\times 3.14(160)^2

Area grazed by cow=20096 ft^2

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HELP!<br>What is the distance between points (6, -9) and (-3, 4)?​
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Answer:

4 or \sqrt{250}

Step-by-step explanation:

I used M a t h w a y. it's really helpful. Good luck.

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3 years ago
What is the (Cubed root of 2)^24?
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Answer:

256

Step-by-step explanation:

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2 years ago
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You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the
Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x  + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

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Answer:

9.) .784 . 10) 0.29

Step-by-step explanation:

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