Answer:
The distance of the foot of the ladder to the building is 14 ft.
Step-by-step explanation:
The length of ladder = 20 ft
Angle formed by ladder with level ground, θ = 46
We are required to find out the distance of the foot of the ladder from the building
The above question can be found out by using trigonometric relations as follows;
The adjacent side of the right triangle formed by the ladder the building and the ground is the distance of the foot of the ladder from the building
The hypotenuse side is the length of the ladder = 20 ft
Therefore;
Adjacent side of triangle = Hypotenuse × cosθ
∴ Distance of the foot of the ladder from the building = Hypotenuse × cosθ
Distance of the foot of the ladder from the building = 20 ft × cos(56)
Distance of the foot of the ladder from the building = 13.893 ft
To the nearest foot, the distance of the foot of the ladder to the building = 14 ft.
Answer: Even is not unusual.
Step-by-step explanation:
Given:
P = 0.10
n = 1200
x = 132
1. Sample of proportion ( ˆp ) = x/n
= 132/1200
= 0.11
2. Z = ˆp - p / √p ( 1 - p )/ n
= 0.11 - 0.10 / √0.10 ( 1 - 0.10 ) / 132
= 0.01 / 0.02611
= 0.3829
3. Probability
P ( ≥ 132 ) = P( Z > 1.50 ) = 1 - P( Z > 1.50 )
= 1 - 0.9332
= 0.0668
The probability is higher than (0.05). Which makes the event unusual, therefore there is no enough evidence which suggest that the number of Americans who are afraid to fly has increased.
Answer:
Top option / (x ,y) -> (x + 6, y + 6)
Step-by-step explanation:
So we know that RSTU is the original so it will not be the last option (1/4) as it is not getting smaller
To figure out the answer though, we need to figure out the dilation,
See attached photo!
(sorry for sloppy drawing/etc, it is hard on the laptop haha)
The answer to the first problem is G.
Since there are 3 boys and 9 girls who are left-handed, that makes 12 people in total in sixth grade who are left-handed. The total number of sixth graders at the middle school is 150 since there are 90 girls and 60 boys in that grade. Divide 150 from 12 to get 0.08. You change it to percentage form by multiplying 0.08 by 100 to get 8%.
The answer for the second problem is C. You change the percentage (in this case it is 76%) to decimal form by dividing by 100 to get 0.76. You then multiply 0.76 with 8,950 to get 6,802.
Answer:$2.28
Step-by-step explanation:
