The line n intersects line m and at the point of intersection two angles are formed, which are 3x and x.
Please note that angles on a straight line equals 180 degrees. That means angle 3x and angle x both sum up to 180. This can be expressed as;
3x + x = 180
4x = 180
Divide both sides of the equation by 4 (to eliminate the 4 on the left hand side and isolate the x)
x = 45
Well, I think that there is 1/3 cup of fruit in 1/2 a smoothie because the other half is used on the base solution
Answer:
Height of the building ≈ 947.34 ft
Step-by-step explanation:
Jack eyes are 5 ft above the ground .He is standing 500 ft from the base of a building .His line of sight forms angle with the top of the building at 67°. The height of the building can be computed below.
The illustration forms a right angle triangle. The opposite sight of the triangle is the unknown. The height of the building can be found by using the tangential ratio.
adjacent = 400 ft
angle = 67°
tan 67° = opposite/adjacent
tan 67° = a/400
cross multiply
a = 400 tan 67°
a = 400 × 2.35585236582
a = 942.34094633
Adding 5 ft to the total height of the building will be 5 + 942.34094633 = 947.34094633
Height of the building ≈ 947.34 ft
We use the definition of the volumes of each figure in order to calculate the diameter of the cylinder. We calculate as follows:
V(cylinder) = V(rectangular prism)
πr²h = lwh
from the given, height of the cylinder = height of the prism
πr² = lw
πr² = 5.3(2.7)
r = 2.13
D=2r = 4.27 mm
Answer:
nope this is completely correct good job!
Step-by-step explanation:
