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2 years ago

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Mathematics

1 answer:

inn [45]2 years ago

3 0

The rotation of the triangle ABC 360 degrees about the y-axis forms a cone

<h3>How to determine the shape after rotation?</h3>

From the question, we understand that the triangle ABC is a right triangle

The vertical cross-section of a cone is a right triangle.

This means that a right triangle can be rotated 360 degrees on one of its legs (opposite or adjacent) to form a cone

Hence, the rotation of the triangle ABC forms a cone

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B) y = log2 (4" - 4)<br> find the inverse of this equation

GuDViN [60]

Answer:

$y = \frac{1}{4} \times {2}^{x} - 1$

Step-by-step explanation:

Assuming the given logarithmic equation is

$y = \log_{2}( {4}{x } - 4)$

We interchange x and y to get:

$x= \log_{2}( {4}{y} - 4)$

We solve for y now:

${2}^{x} = {4}{y} - 4$

We add 4 to both sides to get;

${2}^{x} + 4 = 4y$

Divide through by 4:

$y = \frac{1}{4} \times {2}^{x} - 1$

4 0

3 years ago

Question 1

viktelen [127]

Given:

The demand function is,

$Q=-3p^2+2p+1970$

The total revenue function is,

$\begin{gathered} TR=p\times Q \\ TR=p\times(-3p^2+2p+1970) \\ TR=-3p^3+2p^2+1970p \end{gathered}$

Answer:

$TR=-3p^3+2p^2+1970p$

3 0

9 months ago

(b)<br> Using the formula 2T = M + 3K, find the value of K when T = 11 and M = 4.

Sunny_sXe [5.5K]

Answer:

K = 6

Step-by-step explanation:

Plug in what the letter equals to

Equation will look like:

2(11) = 4 + 3k or 3k + 4 = 2(11)

multiple the 2 by 11 and get 22

3k + 4 = 22 subtract the 4 so it can leave the 3k alone

22 - 4 = 18 now divide 3 from k and do it in the other side

18/3 = 6

so K = 6

4 0

3 years ago

Please help asap 40 pts

lakkis [162]

Answer: D

Step-by-step explanation:

It seems there is two ways to solve this, remember that this is just one of them.

The triangle to the left is an isosceles triangle by definition. It is given that two of its sides are equal.

The angles opposite the equal sides in an isosceles triangle are congruent. It is given that one of these angles is 70 degrees, so the other one must be 70 degrees as well.

This angle is opposite to Angle Y. Vertical angles are congruent, so Angle Y must be 70 degrees.

D is the answer.

7 0

3 years ago

Read 2 more answers

In the figure below, C is between A and D, and B is the midpoint of AC. If AD=20 and BC=6, find CD.

Leokris [45]

Answer:

Step-by-step explanation:

AC and BC are the same, so both equal 6

6+6 is 12

Subtract 12 from 20

20-12=8

CD is 8

8 0

3 years ago

Read 2 more answers