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aleksandr82 [10.1K]
4 years ago
7

5 times the square root of x over 2 = 1

Mathematics
1 answer:
kati45 [8]4 years ago
3 0
Here's a step-by-step in solving this equation:

5 \sqrt{ \frac{x}{2} } = 1
\sqrt{ \frac{x}{2} } = \frac{1}{5} 

\frac{ \sqrt{2x} }{2} =  \frac{1}{5} 

\sqrt{2x} =  \frac{2}{5} 

2x =  \frac{4}{25}
∴x = \frac{2}{25}
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Find the height of a cone when its diameter is 8 inches and the volume is 100 cubic inches
Aloiza [94]

Answer:

\frac{75}{4\pi } inches or approximately 5.97 inches  

Step-by-step explanation:

Use the cone volume formula: V = \pir²\frac{h}{3}

The diameter is 8 inches, so the radius will be 4 inches.

Plug in the radius and volume, and solve for h

V = \pir²\frac{h}{3}

100 = \pi(4²)(\frac{h}{3})

100 = 16\pi\frac{h}{3}

Divide each side by 16\pi

\frac{25}{4\pi } = \frac{h}{3}

Cross multiply and solve for h:

4\pih = 75

h = \frac{75}{4\pi }

So, the cone's height is \frac{75}{4\pi } or approximately 5.97 inches  

7 0
3 years ago
Given that x and y vary inversely and that y is 8 when x is 2, what is the constant of variation, k?
Shtirlitz [24]

Answer:

16

Step-by-step explanation:

the equation is x = k / y

therefore k = x* y

k = 2*8

k= 16

4 0
3 years ago
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
Mazyrski [523]
Looking at the graph k=3
3 0
4 years ago
Can someone please help me with this IXL thanks!
Nikitich [7]
Sure! What is the prob
4 0
3 years ago
The next term of the square 3 by 1​
nadya68 [22]

9514 1404 393

Answer:

  (B)  1/27

Step-by-step explanation:

The terms of the sequence have a common ratio.

  (1/8)/(3/16) = (2/16)/(3/16) = 2/3

  (1/12)/(1/8) = (2/24)/(3/24) = 2/3

  (1/18)/(1/12) = 12/18 = 2/3

The next term will be ...

  (1/18)(2/3) = 2/54 = 1/27 . . . . matches choice B

5 0
3 years ago
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