Find the area please help
1 answer:
You might be interested in
Answer:
< 1 = 130°, < 2 =50°, < 3 = 50°, < 4= 30°, < 5 = 70°, < 6 = 50°, < 7= 60°, < 8 = 40°, < 9 = 40°, < 10 = 50°, < 11 = 50°, < 12 = 130°, < 13 = 140°, < 14 =40° , < 15 = 140°
Step-by-step explanation:
< 4 = 90- 60 = 30° because angle 4 and angle 60° are complementary
< 5 = 70°, because vertical angles are congruent
< 2 = 180-130 = 50 °, because 130 ° and 2 are a linear pair
< 6 = 180-130 = 50 °, because 130 ° and 2 are a linear pair
because < 2 = < 6 and are alternate exterior angles then two lines are parallel
<13 = 140°, corresponding angles
< 13 = < 15 = 140°, vertical angles
< 8 = < 9 = < 14 = 180-140 = 40°, linear pair and vertical angles
< 3 = 180-90-40= 50 °, because the sum off all angles in a Δ is 180°
< 3= < 10 = < 11 =50° vertical angles , and corresponding angles
< 7= 180 -70 -50 = 60°, because the sum off all angles in a Δ is 180°
<1 = <12 = 180 -50 = 130°, linear pair and vertical angles
Hey there :)
We know the volume formula of a triangular prism
Volume = base area × height of prism
We are given:
Base of triangle = 5 ft
Height of triangle = 3 ft
Height of prism = 7.5 ft
Apply the formula
V =
( 5 )( 3 ) × 7.5
= 7.5 × 7.5
= 56.24 ft³
We know the volume formula of a triangular prism
Volume = base area × height of prism
We are given:
Base of triangle = 5 ft
Height of triangle = 3 ft
Height of prism = 7.5 ft
Apply the formula
V =
= 7.5 × 7.5
= 56.24 ft³
Answer:
0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:
A particular employee arrives at work sometime between 8:00 a.m. and 8:30 a.m.
We can consider 8 am = 0, and 8:30 am = 30, so
Find the probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
Between 15 and 25, so:
0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.