Answer:
43.125
Step-by-step explanation:
From trigonometry;
Tan87.4 =height of monument / 25
Height of monument = 25 * Tan 87.4
= 25 * 1.525
=38.125 ft
There is an extra substention of 5ft we add that
38.125 + 5 = 43.125 ft
Answer:
1) If the order doesn't matter, there are 36 possible outcomes.
2) If the order does matter, there are 181,440 possible outcomes.
Step-by-step explanation:
1) In the case when the order doesn't matter , we have to calculate a combination of 7 screws in 9 holes.
We use the formula for combinations:
being r: the number of screws and n: the number of holes.
2) When the order does matter, the possible outcomes are called permutations. We have permutations of 7 screws in 9 holes.
We use the formula for permutations:
equation of circle is given as
where (h,k) is center of cirlce and r is radius.
so lets figure out it from graph.
as we can see in graph center is at ( -1, 1)
radius is 4 units as shown in graph but we can calculate it. take any point on circle and calculate its distance from center. lets take point (3, 1)
now distance = √((3+1)^2+(1-1)^2)
= √16 = 4
lets put it in equation
(x +1)^2 + (y-1)^2 = 4^2
Answer:
1/3
Step-by-step explanation:
Steve will earn $160 interest after four years ⇒ 1st answer
Step-by-step explanation:
The formula of the simple interest is I = Prt, where
- P is the initial deposit
- r is the annual rate in decimal
- t is the time of investment
∵ Steve opens a bank account with a simple annual interest rate of 5%
∴ r = 5% = 5 ÷ 100 = 0.05
∵ His initial deposit is $800
∵ He will put the money for four years
∴ t = 4
- Substitute all these values in the formula above
∵ I = 800(0.05)(4)
∴ I = 160
Steve will earn $160 interest after four years
Learn more:
You can learn more about the interest in brainly.com/question/13018049
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