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3 years ago

8. The triangles below are similar. State the following:

Mathematics

1 answer:

Ulleksa [173]3 years ago

4 0

The answer to this is 3 rate me brainiest

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Modeling with Inverses

Rus_ich [418]

Step-by-step explanation:

I will do the first one as an example.

To find the inverse of y = f(x), simply switch x and y, then solve for y.

y = 3 + 2 ln x

x = 3 + 2 ln y

x − 3 = 2 ln y

(x − 3) / 2 = ln y

y = e^((x − 3) / 2)

So the inverse function is:

f⁻¹(x) = e^((x − 3) / 2)

The original function told us the amount of water as a function of time.

The inverse function tells us the time as a function of the amount of water.

6 0

3 years ago

A triangular Pyramid has a base of 10 square feet and a height of 30 feet. What is the volume of the pyramid?

kondor19780726 [428]

Answer: volume of pyramid is

100 ft.3

Step-by-step explanation:

The formula for determining the volume of triangular Pyramid is expressed as

Volume = 1/3AH

Where

A represents the area of the triangular base of the pyramid

H represents the height of the pyramid.

The triangular Pyramid has a base of 10 square feet and a height of 30 feet. Therefore,

Volume = 1/3 × 10 × 30 = 100 cubic feet

8 0

4 years ago

Which scale factors results in an enlargement of an image along an opposite ray?

lana [24]

I don't know if its right but i think its dialation

8 0

4 years ago

16. How many liters of a 60% alcohol solution must be added to 60 liters of a 30% alcohol

Nezavi [6.7K]

Step-by-step explanation:

Step 1: Question statement and Inferences

Let x liters of the 60% solution be added.

So, amount of Alcohol in this solution = 60% of x = 0.6x L

Now, let us consider the 40% solution.

The total volume of this solution is 50 L

So, amount of Alcohol in this solution = 40% of 50

Step 2: Finding required values

When x L of 60% solution are mixed with 50 L of the 40% solution, the total volume of the resultant solution will be (50+x) L

By the Law of Conservation of Mass,

Amount of alcohol in the input solutions = Amount of alcohol in the final solution

=> Amount of alcohol in the final solution = 20 + 0.6x

So, concentration of Alcohol in the final solution

Step 3: Calculating the final answer

It is given that the concentration of alcohol in the final solution is 50%

8 0

3 years ago

Read 2 more answers

Explain the step(s) needed to solve 4+ p = 1 and then solve for p

liberstina [14]

Answer:

p = -3

Step-by-step explanation:

Apply algebra to the equation by subtracting 4 from each side, that way it will cancel out at least the 4 next to p. It should now look like this: p = -3

Because we can't make anymore moves and the expression clearly states what p is, we're done!

4 0

3 years ago