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g100num [7]
3 years ago
7

Radius of a sphere that has a surface area 12.56in2 use 3.14

Mathematics
1 answer:
enot [183]3 years ago
8 0
\bf \textit{surface area of a sphere}\\\\
A=4\pi r^2\qquad 
\begin{cases}
r=radius\\
-----\\
A=12.56
\end{cases}\implies 12.56=4\pi r^2
\\\\\\
\cfrac{12.56}{4\pi }=r^2\implies \sqrt{\cfrac{12.56}{4\pi }}=r
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Solve the following system in three variables using linear combinations. 3x−2y+z=0 4x+y−3z=−9 9x−2y+2z=20
goblinko [34]

Answer:

The solution of the system of equations is

x=2,y=7,z=8

Step-by-step explanation:

we have

3x-2y+z=0

isolate the variable z

z=2y-3x ------> equation A

4x+y-3z=-9 ----> equation B

9x-2y+2z=20 ----> equation C                  

substitute equation A in equation B and equation C

4x+y-3(2y-3x)=-9

4x+y-6y+9x=-9

13x-5y=-9 -------> equation D

9x-2y+2(2y-3x)=20

9x-2y+4y-6x=20

3x+2y=20 ----> equation E

Solve the system

13x-5y=-9 -------> equation D

3x+2y=20 ----> equation E

Multiply equation E by 2.5 both sides

2.5*(3x+2y)=20*2.5

7.5x+5y=50 -----> equation F

Adds equation D and equation F

13x-5y=-9

7.5x+5y=50

------------------

13x+7.5x=-9+50

20.5x=41

x=41/20.5

x=2

<u><em>Find the value of y</em></u>

substitute the value of x in the equation E

3(2)+2y=20

6+2y=20

2y=20-6

2y=14

y=7

<u><em>Find the value of z</em></u>

Substitute the value of x and the value of y in equation A

z=2y-3x

z=2(7)-3(2)

z=14-6

z=8

therefore

The solution of the system of equations is

x=2,y=7,z=8

5 0
3 years ago
What is the length of a rectangle with a width of 10 cm and area of 120 cm???
melamori03 [73]

Answer:

12cm

Step-by-step explanation:

Width = 10 cm

Area = 120 cm²

Length = ?

Area = Length(L) × Width(W)

120cm²  = L × 10cm

L = 120cm² ÷ 10 cm = 12cm

7 0
4 years ago
A store has a outfit that is $35.00 and 50% of what is the price now.
natta225 [31]

Answer:

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Step-by-step explanation:

The price is x

50% of the price is $35

  • x*0.5 = 35
  • x = 35/0.5
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Answer is $70

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4 years ago
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butalik [34]
No,

A line is considered a "line segment" when a line connects to 2 points.

If a line was infinite length, it would never end up ending at one point.

Hope this was clear for you
4 0
4 years ago
What is the equation 9+10​
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