Perfect application for the Law of Cosines.
c^2 = a^2 + b^2 - 2ab cos C; here we want C, the angle opposite the 14 m side.
(14 m)^2 = (8 m)^2 + (12 m)^2 - 2(8 m)(12 m) cos C
196 = 64 + 144 - 192 cos C
-12 = -192 cos C, or cos C = 0.0625
Then C = arccos 0.0625 = 1.5083 radians
1.5083 radians 180 deg
= ----------------------- * -------------------
1 3.14159 rad
= 86.417 degrees
= 86 degrees, when rounded off as specified.
Answer:
just one. even though he's a adult.
Answer:
0.78015
Step-by-step explanation:
Given that :
Mean, μ = 1220
Standard deviation, σ = 110
Probability that sales is less Than 1305 on a given day
P(x < 1305) :
Obtain the standardized score Z
Z = (x - μ) / σ
Z = (1305 - 1220) / 110
Z = 85 / 110
Z = 0.7727272 = 0.7727
P(Z < 0.7727) = 0.78015 (Z probability calculator)
Answer:
The area of one trapezoidal face of the figure is 2 square inches
Step-by-step explanation:
<u><em>The complete question is</em></u>
The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown. What is the area of one trapezoidal face of the figure?
we know that
The area of a trapezoid is given by the formula
where
b_1 and b-2 are the parallel sides
h is the height of the trapezoid (perpendicular distance between the parallel sides)
we have
substitute the given values in the formula
Answer:
It costs $9
Step-by-step explanation:
45/5 = 9
