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strojnjashka [21]
3 years ago
13

Pls help i am not good with volume so i would appreciate some help

Mathematics
1 answer:
Maksim231197 [3]3 years ago
4 0
The formula is:

Volume = Base area x height

We can plug in what you know, "h" represents height.
5/24 = 1/5 x h

Your goal is to isolate the variable, so divide each side by 1/5, which is the same as multiplying with 5.


5/1 x 5/24 = 5/1 x 1/5 x h

Simplify:
25/24 = 1 x h

1h is the same as h, so you've isolated the variable!

h = 25/24

25/24 is the same thing as 1 and 1/24



Thus, h = 1 and 1/24


Let me know if you need more help! :)
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4 years ago
What is the equation in slope-intercept form that passes through the points (-4, 47) and (2, -16)?
Whitepunk [10]

Answer:

y = 10.5x - 37

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

Equality Properties

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-4, 47)

Point (2, -16)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{-16-47}{2+4}
  2. Subtract/Add:               m=\frac{63}{6}
  3. Simplify:                        m=\frac{21}{2}

<u>Step 3: Find y-intercept </u><em><u>b</u></em>

  1. Define:                    y = 21/2x + b
  2. Substitute:              -16 = 21/2(2) + b
  3. Multiply:                  -16 = 21 + b
  4. Isolate <em>b</em>:                 -37 = b
  5. Rewrite:                   b = -37

<u>Step 4: Write linear equation</u>

<em>Combine all parts.</em>

y = 21/2x - 37

y = 10.5x - 37

And we have our final answer!

5 0
3 years ago
A surveyor wants to know the length of a tunnel built through a mountain. According to his equipment, he is
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Answer:

Length of the tunnel is 51.7 meters

Step-by-step explanation:

We are given that,

The surveyor is located 54 meters from one entrance at an angle of 56°.

The surveyor is located 31 meters from one entrance at an angle of 13°.

Let the length of the tunnel = x meters

So, using the law of cosines, we get,

x^2=54^2+31^2-2\times 54\times 31\times \cos 69

i.e. x^2=2916+961-3348\times 0.3584

i.e. x^2=3877-1199.9

i.e. x^2=2677.1

i.e. x = 51.7 meters

Hence, the length of the tunnel is 51.7 meters

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