Answer:
20
Step-by-step explanation:
The area of a circle is equal to pi*radius^2
We can then write this as
314.1592=π*r^2
We then divide pi to get
100=r^2
take the square root and you find that the radius equals around 10
The diameter is always equal to the radius times two which means that the diameter is 20
hope this helps
Answer:
x = 19.5, RQS=43
Step-by-step explanation:
It is important to note that RQS and TQS are supplementary, meaning their angles will add up to 180. Knowing this, we can create and solve the equation to find x..
(2x+4) + (6x+20) = 180
8x + 24 = 180
8x = 156
x = 19.5
Now that we know the value of x, we can substitute it into the equation for RQS, 2x+4.
2(19.5)+4
39+4
43
Hope this helped!
Answer:
what is the complete question?
Direct variation is a relation that has the form
y = kx
where k is the constant of proportionality.
If you are told that a relation is a direct proportion, and you are given one data point, you can find k. The you can write the equation of the direct relation.
Here is an example.
The price of gasoline follows a direct variation.
John bought 5 gallons of gas and paid $15.
a) Write an equation for the relation.
b) Using the relation you found, how much do 13.8 gallons cost?
Solution:
Since the relation is a direct variation, it follows the general equation of a direct variation:
y = kx
We are given one data point, 5 gallons cost $15.
We plug in 5 for x and 15 for y and we find k.
y = kx
15 = k * 5
k = 3
Now that we know that k = 3, we rewrite the relation using our value of k.
y = 3x
This is the answer to part a).
Part b)
We use our relation, y = 3x, and we plug in 13.8 into x and find y.
y = 3x
y = 3 * 13.8
y = 41.4
The price of 15 gallons of gas is $41.40.
