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Alex_Xolod [135]
2 years ago
11

The base of a rectangular solid is a square with a side of the length a cm. The height of the rectangular solid is b cm and its

volume is equal to Vcm³. Express the variable a in terms of b and V.
Mathematics
1 answer:
Free_Kalibri [48]2 years ago
3 0

The base has an area of a^2

So, the volume is V=a^2b

Solving for a, you get a=\sqrt{\frac{V}{b}} =\frac{\sqrt{Vb}}{b}


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What are two equivalent equations for<br> x(5x-6)+13x-10
Naily [24]
5x^2 +7x -10

5x^2 (-6x + 13x) - 10
4 0
3 years ago
2. Find the<br> slope of the<br> line between<br> (8, 6) and<br> (20, -14)
Natalka [10]

Answer:

slopee = 5/3

Step-by-step explanation:

The  slope of a line is defined by the rise (the change in y-value) divided by the run (the change in x-value).  Here, the change in y-value is 6 - (-14) = 6 + 14 = 20.  The change in x-value is 20 - 8 = 12.  Therefore, the slope is 20/12 or (simplified) 5/3.

3 0
2 years ago
In a sample of 57 temperature readings taken from the freezer of a restaurant, the mean is 29.6 degrees and the population stand
Natalka [10]

Answer:

(29.14 ; 30.06)

Step-by-step explanation:

Given that'

Sample size (n) = 57

Mean (m) = 29.6

Population standard deviation (σ) = 2.7

Confidence interval = 80%

= (1 - 0.8) / 2 = 0.1

Mean ± z * σ/√n

Using the Z probability calculator : Z0. 1 = 1.28

Hence,

29.6 ± 1.28 * (2.7 / √57)

29.6 - (1.28 * 0.3576237) ; 29.6 + (1.28 * 0.3576237)

29.142241664 ; 30.057758336

(29.14 ; 30.06)

8 0
3 years ago
I NEED HELP PLEASE HELP ME
Aloiza [94]
Answer:
294.14cm^2

Explanation:

First find the area of the whole piece of paper:
32*14=448

Then find the area of the two semicircles, semicircle + semicircle = 1 circle:

Area of a circle= (radius squared)(pi):
(7^2)(3.14) = 153.86

Subtract the area of the two semicircles from the whole paper area:
448-153.86 = 294.14


I hope this isn’t too confusing :)


5 0
3 years ago
10. The expression 4 (2x-5)+7(x+2) can be written in simplest form as
ankoles [38]

Answer:

15x-6

Step-by-step explanation: 4 * 2x = 8x

4*-5 = -20

7*x  = 7x

7*2= 14

Combine like terms 8x + 7x + 14-20

15x-6

4 0
2 years ago
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