The formula for the volume of a pyramid is,
V=1/3Bh
Since the base of the pyramid is a square, the base area is 11^2
which equals 121 sq. units
So, substitute 121
for B
and 6 for h, in the formula.
V=1/3(121)(6) = 242 cu. units
Or alternatively 1/3(11^2)(6) = 242 cu. units
Multiply -3/11 and -2/15 straight across
-3(-2) = 6
11(15) = 165
6/165 is your product, or 0.036 (rounded)
hope this helps
Answer:
x = 17
Step-by-step explanation:
Line l and m are two parallel lines cut across by the transversal line, therefore, the angle measuring 53° and (8x - 9)° are interior angles on the same side. Interior angles on the same side are supplementary.
Therefore:
53° + (8x - 9)° = 180°
Solve for x
53 + 8x - 9 = 180
Collect like terms
53 - 9 + 8x = 180
44 + 8x = 180
Subtract 44 from both sides
44 + 8x - 44 = 180 - 44
8x = 136
Divide both sides by 8
8x/8 = 136/8
x = 17
Answer:
4.
Step-by-step explanation:
(sec α - tan α)(sec α + tan α) = sec^2 α - tan^2α
But sec^2 α = 1 + tan^2 α so
sec^2 α - tan^2α = 1 + tan^2 α - tan^2α
= 1
so 1 = (sec α - tan α)(sec α + tan α) = 1/4 * x where x is sec α + tan α
1/4 * x = 1
x = 4.
