Answer:
To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
No, <span>.32903 is not greater than 0.59</span>
Answer:
150
Step-by-step explanation:
1) the full volume of the given pyramide may be calculated according to the formula:
V=1/3 *Area_of_base*height;
V=1/3 *(5*15)*12=300 (in³).
2) the half of the calculated volume is:
300/2=150 (in³)
Answer:
Step-by-step explanation:
Let x represent the sun's angle of elevation.
We have been given that a 6-foot tall man casts a shadow that is 12 feet long.
Upon looking at our attachment we can see that man and his shadow forma a right triangle with respect to ground, where height of man is opposite side and his shadow is adjacent side.
Since tangent relates opposite side of a right triangle with adjacent, so we can set an equation as:



Using arctan we will get,


Therefore, the measure of the sun's angle of elevation is 27 degrees.
Answer:
Below in bold.
Step-by-step explanation:
2x + 18 + 3x + 12 = 180 (property of a cyclic quadrilateral).
5x = 180 - 18 -12
5x = 150
x = 30
So m < A = 2(30)+18
= 78 degrees.