Answer:
x = y = 15
Step-by-step explanation:
Using the sine ratio and the exact value
sin45° =
, then
sin45° =
=
=
( cross- multiply )
2x = 30
( divide both sides by 2 )
x = 15
The triangle is isosceles (45- 45- 90) , then 2 legs are congruent, so
y = x = 15
By adding all sides of the rooms walls you get 64 feet for your perimeter 20+20+12+12=64 feet
Answer:
Step-by-step explanation:
Given that X is a normal random variable with parameters µ = 10 and σ 2 = 36,
X is N(10, 6)
Or z = 
is N(0,1)
a) P(X > 5),
=
(b) P(4 < X < 16),
=
(c) P(X < 8),
=
(d) P(X < 20),
=
(e) P(X > 16).
=P(Z>-0.6667)
= 0.2524
The bottom trapezoid is
(1/2) * h * (b2 + b1) =
(1/2)*11 * (31+25)
(1/2) * 11 * 56
308
The top parallelogram is
b * h = 12 * 14 = 168
308 +168 = 476 ft^2
Letter B