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3 years ago

Give an equation which describes the intersection of this sphere with the plane z=0z=0.

1 answer:

4 0

C=(x0,y0,z0)C=(x0,y0,z0) and radius rr.

(x−x0)2+(y−y0)2+(z−z0)2=r2(x−x0)2+(y−y0)2+(z−z0)2=r2

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The area of a rectangular wall of a barn is 252 square feet. Its length is 10 feet longer than twice its width. Find the length

valentinak56 [21]

Answer: Length = 28 feet and width = 9 feet

Step-by-step explanation:

Let x = width of the wall.

Then, Length of the wall = 10+2x

Since , Area of rectangle = length x width

Then, as per given,

$252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9$

Since width cannot be negative , so x = 9

So width = 9 feet and length = 10+2(9)=10+18 = 28 feet

Hence, length is 28 feet and width is 9 feet of the wall of the barn.

7 0

3 years ago

the length of rectangular park is 15 m longer than that of the park is 114m find it's length and breadth

Schach [20]

Answer: Length: ≈20.5 Breadth: ≈5.5

Step-by-step explanation: x(x+15)=114, solving for x we get 5.547 and 20.547.

8 0

3 years ago

$750 are deposited into an account quarterly for eight yeara at an interest rate of 7.9% compounded quarterly how much is in the

IgorC [24]

750*7.9%*8=474 is the account at the end of 8 years. Good luck

4 0

4 years ago

What is the range of the function f(x) = -2(6^x) + 3?

Naddika [18.5K]

Answer:

(-∞,3)

Explanation:

6 0

3 years ago

Read 2 more answers

Work out the area of this quarter circle take pie to be 3.142 radius in image attached thanks (:

iVinArrow [24]

Answer:

Solution,

Radius(R)= 7 cm

Area of quarter circle:

$\frac{\pi \: {r}^{2} }{4}$

$= \frac{3.142 \times 49}{4}$

$= 38.4895 \: {cm}^{2}$

Hope this helps...

Good luck on your assignment..

3 0

3 years ago

Read 2 more answers