The statement that is not true is
B. Perpendicular lines never intersect at right angles.
The definition of perpendicular lines is that they will intersect each other at 90 degree angles.
Answer:The answer for the first one is log2(.25)=-2
The answer for the second one is 8^3=512
Step-by-step explanation:
Answer:
84 ft²
Step-by-step explanation:
Solve for Volume. Volume of a box is:
V = Length (base) x Width (base) x Height (of rectangular prism/square)
Change each measurement to have the same measurement (ft -> in, or vice versa).
Note that 1 ft = 12 in.
6 in = 1/2 ft, because 6/12 = 1/2
Length = 12 ft
Width = 14 ft
Height = 1/2 ft
Solve. Plug in the corresponding number to the corresponding words.
V = 12 x 14 x 1/2
Simplify. Solve.
V = 12 x (14 x 1/2)
V = 12 x (14/2)
V = 12 x 7
V = 84
84 ft² is your answer.
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Answer: Measure angle H = 42°
Step-by-step explanation:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"
In given we have,
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H
Based on the above rule,
measure angle E = measure angle D + measure angle H
We are given this:
angle E = 87°
angle D = 45°
Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°
Hope this helped!
Answer:
Step-by-step explanation:
Given that,
The diameter of a hemispherical tank= 14 feet
Radius, r = 7 feet
water
Water weighs 62.4 pounds per cubic foot.
We need to find the total weight of the water in a full tank to the nearest pound.
The volume of the hemisphere is given by :
If water weighs 62.4 pounds per cubic foot, it means
So, the total weight of the water is .
