Can someone help me find the volume of these?

Mathematics

1 answer:

snow_lady [41]3 years ago

8 0

The volume of the triangular prism is:
V = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: triangle height
H: prism height
Substituting:
V = (1/2) * (9) * (12) * (19)
V = 1026 cm ^ 3

The volume of the cylinder is:
V = (pi) * (r ^ 2) * (h)
Where,
r: radio
h: height
Substituting:
V = (3.14) * ((14/2) ^ 2) * (11)
V = 1692.46 yd^3

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A fish tank has 16 gallons, the length is 7 feet and the width is 2 feet.Find the hypotenuse length using the Pythagorean theore

ollegr [7]

The Pythagorean Theorem states that a² + b² = c², c being the hypotenuse.

Substitute known values into the equation.

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3 0

4 years ago

A company provided the following data: Selling price per unit: 60 Variable cost per unit 20 Total fixed costs 400,000 HOw many u

EastWind [94]

Answer:

The company needs to sell 9000 units in order to turn a profit of $40,000

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

From the question we can get some important hints before creating our formula. First the Selling Price will be profit so it will be a positive number, but both unit cost and fixed costs are losses so they will be negative values in our formula. Also our formula will depend on the amount sold which we can represent as the variable x. With these hints we can create our formula as the following

$(60x-20x)-400,000 = y$

Where:

x is the amount of units created and sold
y is the total profit after selling x-units

Now that we have our formula the question asks how many units need to be sold in order to earn a profit of $40,000. We can calculate this by replacing the $40,000 with y and solving for x like so,

$(60x-20x)-400,000 = 40,000$ .... add 400,000 on both sides