Look at the face of the pyramid facing you. The length of the base of this pyramid is 82 m; half of that is 41 m.
If you were to draw a straight vertical line through the vertex of the pyramid, the bottom of this line would be at the very center of the base and also be 41 in perpendicular distance from any of the edges of the base of this pyramid.
Let the height of the pyramid be y, as measured upward from the center of the base of the pyramid. This center is, as before, 41 m from any side of the pyramid base, a horiz. distance.
Then, tan 52 deg = y / 41 m, and so y = height of pyramid =
(41 m)(tan 52 deg) = (41 m) (1.28) = 52.48 m
Answer: (5a+b)/2
Step-by-step explanation:
1. First factor 5a^2+36ab+7b^2
=(5a+b)(a+7b)
2. Factor 2a+14b
The two can be factored out, making the equation equal to 2(a+7b).
The factored out equation is now 
Since there is an (a+7b) on both sides of the fraction, they cancel out. You are left with (5a+b)/2. This fraction cannot be simplified more.
To verify you can multiply (5a+b)/2 times (2a+14b). If it is correct, it should come back out as 5a^2 + 36ab +7b^2
The total number of marbles is 15. The probability of picking a blue marble is 6/15. After putting the marble back, the probability of picking another blue marble is probably 1/9.
Answer: the probability of picking two blue marbles in a row is 1/9.
Answer:
C x=17
Step-by-step explanation:
The top and bottom sides have to be equal for the quadrilateral to be a parallelogram
2x-9 = x+8
Subtract x from each side
2x-9-x = x+8-x
x-9 = 8
Add 9 to each side
x-9+9=8+9
x=17
