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vladimir2022 [97]
3 years ago
8

Find the measure of the indicated angle to the nearest degree​

Mathematics
1 answer:
omeli [17]3 years ago
4 0

\boxed{\sf sin\Theta=\dfrac{P}{H}}

\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}

\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}

\\ \sf\longmapsto sin\Theta=0.5

  • Convert to p/q form

\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}

\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}

\\ \sf\longmapsto sin\Theta=sin30

\\ \sf\longmapsto \Theta\approx30°

You might be interested in
7. Factor the expression.<br> 42 - 64
Dmitriy789 [7]

Answer:

-22 = -2^1×11^1

Step-by-step explanation:

Factor the following integer:

-22

Hint: | Is 22 divisible by 2?

The last digit of 22 is 2, which means it is even. Therefore 22 is divisible by 2:

22 = 2 11:

-22 = -2×11

Hint: | Now try to factor 11. Is 11 divisible by 2?

11 is not divisible by 2 since 11 is odd and 2 is even:

-22 = -2×11 (11 is not divisible by 2)

Hint: | Is 11 divisible by 3?

The sum of the digits of 11 is 1 + 1 = 2, which is not divisible by 3. This means 11 is not divisible by 3:

-22 = -2×11 (11 is not divisible by 2 or 3)

Hint: | Is 11 divisible by 5?

The last digit of 11 is not 5 or 0, which means 11 is not divisible by 5:

-22 = -2×11 (11 is not divisible by 2, 3 or 5)

Hint: | Is 11 divisible by 7?

Divide 7 into 11:

| | 1 | (quotient)

7 | 1 | 1 |  

- | | 7 |  

| | 4 | (remainder)

11 is not divisible by 7:

-22 = -2×11 (11 is not divisible by 2, 3, 5 or 7)

Hint: | Is 11 prime?

No primes less than 11 divide into it. Therefore 11 is prime:

-22 = -2×11

Hint: | Express -22 as a product of prime powers.

There is 1 copy of 2 and 1 copy of 11 in the product:

Answer: -22 = -2^1×11^1

3 0
3 years ago
After t seconds, a ball in the air from the ground level reaches a height of h feet given by the equation h= 144t-16t^2 . After
Effectus [21]
H=0
Therefore:
144t-16t²=0
t (144-16t)=0
We have two equations:
1)
t=0    (when the ball is released)
2)
144-16t=0
-16t=-144
t=-144 / -16=9  (this is the time )

Answer: the ball hit the ground in 9 s. 
3 0
3 years ago
Is (10, 5) a solution to this system of inequalities? <br><br> 20x + 4y &gt; 5 <br> x + y &lt; 15
Sergio039 [100]
No, it is not a solution, as 15 is not less-than fifteen.<span />
8 0
3 years ago
Find the indicated term of the given arithmetic sequence. Find the indicated term of the given arithmetic sequence. a^1 = 45, d
Ymorist [56]
An = a1+d*(n-1)
a8 = 45 - 6*(8-1) = 3
7 0
3 years ago
0.3 ÷ 42 Will someone please help me with the method on how to do this it is very hard.
slamgirl [31]

The answer is 1/140

Work Shown

0.3 / 42

Convert and Rewrite

3/10 x 1/42

Reduce The Numbers With the greatest Common divisor 3

1/10 x 1/14

Multiply the fractions

1/140 or

AlTernative Form  0.007114285 , -1 over 140


I Hope This Help

-Dante

3 0
3 years ago
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