Answer:
x = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 9² = 16²
x² + 81 = 256 ( subtract 81 from both sides )
x² = 175 ( take the square root of both sides )
x =
= 5
≈ 13.23 units ( to 2 dec. places )
Positive correlation means that if x goes up then y goes up, negative correlation means that if x goes up then y goes down. Since both x and y are increasing each time, it is positive.
Answer:
8.04
Step-by-step explanation:
Solution 1
x= r- 4.5= 25.2/2 - 4.5= 8.1
Solution 2
x= √(25.2/2)² - 9.7²= √64.67= 8.04
refer to attachment
Answer:
D
Step-by-step explanation:
We need the formula for arc length (in radians) to solve this problem. The formula is:

Where
s is the arc length
r is the radius of the circle
is the intercepted angle
In this diagram, we can see that
is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20
Also, if we look, we see that the radius is 5 cm, so r = 5
Now, we substitute into formula and find
:

This is given in radians, so
is 4 radians
D is the correct answer choice.