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Aloiza [94]
3 years ago
12

4x^2+4y^2+20x-16y+37=0 standard form

Mathematics
1 answer:
zhenek [66]3 years ago
5 0
The answer in standard form is (x+5/2)^2+(y-2)^2=1
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What is the volume of a square pyramid with base edges 24 feet and slant height 37
-Dominant- [34]

Answer: The volume of pyramid is 6720 ft³

Step-by-step explanation:

Given: Base edge of a square pyramid = 24 feet

Slant height = 37 feet

Therefore height of pyramid is given by

h^2=l^2-\dfrac{1}{2} b^2 where h is height, l is slant height and b is base edge of pyramid

So we have

h^2= 37^2-(\dfrac{1}{2} \times 24)^2= 37^2-12^2=1225 \\\\\Rightarrow h= \sqrt{1225} =35

Height of pyramid is 35 feet

Now the volume of a pyramid is given by

V=b^2\dfrac{h}{3} where V is volume , b is base edge and h is height of pyramid

Therefore

V= (24)^2\dfrac{35}{3} = 6720

Hence , the volume of pyramid is 6720 ft³

7 0
3 years ago
A factory makes tennis balls. Every tennis ball must meet a quality standard, or it will be rejected. The percentage that meets
Anettt [7]
The answer you're looking for is 40 tennis balls.
Hope this helped!
3 0
3 years ago
A tent is in the shape of the picture shown below, calculate the total of the tent, ROUND TO THE NEAREST HUNDREDTH
Taya2010 [7]

Answer: The volume of the tent is 293.33 ft.

Explanation: 11 x 10 x 8 = 880

The formula for the volume of a right rectangular pyramid is lwh/3.

880/3 = approximately 293.33

4 0
2 years ago
Identify the stem of the following number: 231. <br> A. 1 <br> B. 2 <br> C. 3 <br> D. 23
Kruka [31]
stem = 23
leaf = 1

Answer is choice D

The leaf is always a single digit because you can have multiple leaves without any separating mark. If you have something like "123" on the leaf column, then that means you have three leaves of 1, 2 and 3 which correspond to the same stem.
8 0
3 years ago
The perimeter of a rectangle is 234 meters.
Licemer1 [7]

I am going to show you how easy this is. Once you understand, you will be able to do this forever.

:

Assuming the side of the rectangle are (L) length and (W) width, the perimeter:

2L + 2W = 234

:

"the rectangle is twice as long as it is wide,", the equation for this statement:

L = 2W

:

In the first equation, we can replace L with 2W, then we have

2(2W) + 2W = 234

4W + 2W = 234

6W = 234

Divide both sides by 6

W = 234%2F6

W = 39 meters is the width

:

Remember it said the length is twice the width, therefore:

L = 2(39)

L = 78 meters is the length

:

:

Check this by finding the perimeter with these values

2(78) + 2(39) =

156 + 78 = 234

7 0
3 years ago
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