Answer:
15°
Step-by-step explanation:
7x + 12 + 63 = 180
7x + 75 = 180
7x = 180 - 75
7x = 105
x = 15
Given :
Two vertical buildings 57 meters apart are 158 meters and 237 meters high.
To Find :
The angle of elevation from the top of the shorter building to the top of the taller building.
Solution :
Distance between height of building, h = 237 - 158 = 79 m.
Distance between these building , d = 57 m.
Now,
Therefore, the angle of elevation from the top of the shorter building to the top of the taller building is 54.19°.
Hence, this is the required solution.
Answer:
mean = 2.55
Standard deviation = 1.118
Step-by-step explanation:
Probability of babies who are boys
P = 0.51
Then we have q = 1-p
= 1-0.51
= 0.49
We have n = 5
We calculate the mean as:
np
= 0.51x5
= 2.55
Therefore mean = 2.55
The standard deviation
= √variance
= √npq
= √0.51x5x0.49
=√1.2495
= 1.118
Answer: a) 13 macaroons
b) 6 cookies
Step-by-step explanation: Total = $10
a) $2.20/slice of pie
$0.60/macaroon
10 - 2.20 = 7.80
7.80/0.6 = 13
b) $4.60/loaf
cookies = 1 1/2*macaroons = (1 + 0.5)*0.6 = 1,5 * 0.6 = 0.90
cookies = $0.90
10 - 4.60 = 5.40
5.40/0.9 = 6
Answer:
Step-by-step explanation:
<u>Given</u>
- u(x) = x^5 - x^4 + x^2 and v(x) = -x^2
<u>(u/v)(x) = </u>
- (x^5 - x^4 + x^2) /(- x^2) =
- - (x^3 - x^2 + 1) =
- -x^3 + x^2 - 1
Correct option is C
