According to the side-splitter theorem, the two sides of the triangle is divided proportionally if the line that intersects both sides is parallel to the third side of the ∆.

Therefore, based on this theorem, we would have the following:

$\frac{x}{21} = \frac{8}{24}$

Solve for x

$\frac{x}{21} = \frac{1}{3}$

Multiply both sides by 21

$\frac{x}{21}*21 = \frac{1}{3}*21$

$x = \frac{21}{3}$

$x = 7$

8 0

2 years ago

(8Q) Tell whether the function exhibits damped oscillation. If it does, identify the damping factor and tell whether the damping

dezoksy [38]

Answer:

Option c.

No damping

Step-by-step explanation:

We can easily solve this question by using a graphing calculator or any plotting tool.

The function is

f(x) = (√11)*cos(3.7x)

Which can be seen in the picture below

We can notice that f(x) is a cosine with maximum amplitude of (√11). Neither this factor nor the multiplication of x by 3.7 serve as a damping factor since they are constants.

f(x) does not present any dampening

5 0

3 years ago

Read 2 more answers

A cell phone company charges a monthly fee of $35 and an addition $0.20 per minute used.

kiruha [24]

Answer:

35 + .2m

Step-by-step explanation:

The monthly fee of $35 is a base pay, and you don't change anything with it.

The "m" stands for minute, and since it costs $.20 for each minute, multiply the two together to get that part of the equation.

4 0

2 years ago