<span>a = 1/2 x b x h
h = 3b
so 1/2 x b x 3b = (1/2)(3b^2) = 150
(150 x 2)/3 = b^2
100 = b^2
b = square root of 100 = 10
h = 3b = 3 x 10 = 30</span>
Answer:
It's C
Step-by-step explanation: I took the test and got it wrong
Statement: Complementary angles are two angles with measures that have a sum of 90.
Reverse: Two angles with measures that have a sum of 90 are complementary angles.
Here the reverse is true, therefore, the statement is true biconditional.
Statement: A rectangle is a four-sided figure with at least one right angle.
Reverse: A four sided figure with at least one right angle is a rectangle.
Here, the reverse is not true, therefore, the statement is not reversible.
Answer:
See explanation
Step-by-step explanation:
An equation that represents the path of a diver jumping off a diving board is
The diver jumped to the water when x = 0.
Then
The jumper reached the water when y = 0, then
So, point where the jumper reached the water is
If we have
y = 6x + 1 and x - y = 11, we can take advantage of y - y = 0 as follows:
Subtract x from both sides of the 2nd equation:
-y = 11 - x
Now combine
y = 6x + 1
-y = 11 - x
--------------
0 = 5x + 12. Solving for x, x = -12/5. Using the equation above, find y:
-y = 11 - x
= 11 - (-12/5)
= 55/5 + 12/5 = 67/5
Then the solution is (-12.5, 67/5).
