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Anna [14]
2 years ago
8

All right triangles with the same acute angle θ are

Mathematics
1 answer:
aivan3 [116]2 years ago
5 0
<span>All right triangles with the same acute angle θ are SIMILAR</span>
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use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042
marishachu [46]

Answer:

Option A.

Step-by-step explanation:

The given sequence is  

24, 30, 36, 42, 48, ...

It is an AP. Here,  

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

a_n=a_1+(n-1)d

where, a_1 is first term, d is common difference.

Substitute a_1=24, d=6 \text{ and }n=500 in the above formula.

a_{500}=24+(500-1)(6)

a_{500}=24+(499)(6)

a_{500}=24+2994

a_{500}=3018

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

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2 years ago
What percent of the people chose turkey or ham as their favorite sandwich? A. 6% B. 50% C. 28% D. 62%
Elenna [48]
B IS THE CORRECT ANSWER
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2 years ago
Help! Kinda on a rush with this quiz!
Natasha2012 [34]
B



Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
8 0
2 years ago
I give free brainlest :D
Ede4ka [16]

Answer:

Yes plz!

Step-by-step explanation:

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Helppppppppp
leva [86]
Answer: 14 feet. a. The Pythagorean theorem is a^2 + b^2 = c^2, where a and b are the sides of a right angle. By plugging in the sides of the wall, and solving for c, you can find the answer. 10^2 + 10^2 = c^2
| 100 + 100 = c^2 | 200 = c^2 | c = sqrt 200 | c = 14. The other way to solve this would be using the trig functions. You know that the angle between the hypotenuse and the wall side is 45 degrees, so you can use Sine to determine the hypotenuse. Sine is equal to opposite over hypotenuse. Sin (45) = 10/h | Sin (45) * h = 10 | h = 10/Sin (45) | h = 14. Both of the methods result in 14.
8 0
3 years ago
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