Given:
Area and altitude PS of ∆PQR are ar(∆PQR) = 180cm² and PS = 15.
To find:
The measure of side QR.
Solution:
According to the given information, PS is an altitude of ∆PQR. It means QR is the base of ∆PQR.
We know that, the area of a triangle is


Substituting the given values, we get



Divide both sides by 15.


Therefore, the measure of side QR is 24 cm.
Answer:
y = 2x
Step-by-step explanation:
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition when x = 4, y = 8, that is
8 = 4k ( divide both sides by 4 )
2 = k, thus
y = 2x ← equation of proportion
The answer is c. i hope that helpped
Answer:
There are 3,628,800 different ways for the runners to finish.
Step-by-step explanation:
Arrangments of x elements:
The number of possible arrangments of x elements is given by the following formula:

In this question:
10 different runners, which means that the number of different ways that there are for the runners to finish is an arrangment of 10 elements. So

There are 3,628,800 different ways for the runners to finish.
Answer:
Domain: 0, 5
Range: 0, 2
Step-by-step explanation:
The Domain is the first coordinate which is x.
The Range is the second coordinate which is y.
Hope This Helps :)