Answer:
16.2 foot shadow
Step-by-step explanation:
Let the shadow cast by 27 foot tree be x.
Using ratio and proportions,
18 / 30 = x / 27
(18 x 27) / 30 = x
x = 486 / 30
x = 16.2
The formula is
(theta)/360 · 2(pi)r
theta is the given angle
r is radius of the circle
The large triangle is an isosceles since both angles at the base each equal 42°.
In an isosceles triangle the altitude z is at the same time median , then it bisects the opposite side in the middle . So w = 120/2 = 60
Now let's calculate z:
tan 42° = (opposite side) / (adjacent side) = z/60
tan 42° = 0.9,
0.9 = z/60 and z = 54
Answer:
The maximum amount that Lydia can spend on a one-bedroom apartment is $ 1,750.
Step-by-step explanation:
Given that Lydia makes $ 7,000 per month in New York City at her interior design company, and that she can't spend more than 25% of her income on the one bedroom apartment, to determine the maximum amount of money that she can spend must be made the following calculation:
7,000 x 0.25 = X
1,750 = X
Thus, the maximum amount that Lydia can spend on a one-bedroom apartment is $ 1,750.
