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natita [175]
2 years ago
6

Help will name Brainliest

Mathematics
1 answer:
kogti [31]2 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

using the sine or cosine ratio in the right triangle and the exact value

sin30° = \frac{1}{2} , then

sin30° = \frac{opposite}{hypotenuse} = \frac{x}{10} = \frac{1}{2} ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5

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The symphonic choir and the jazz choir are recording songs for an album. The album can be no more than 72 minutes long. The jazz
zimovet [89]

Answer:

The symphonic choir can record a maximum of 14 songs.

Step-by-step explanation:

We know that the album cannot be more than 72 minutes long, and the jazz choir records a total of 7 (3min) = 21  song minutes.

If we call c the number of songs the symphonic choir records , and each song is 3.5 minute long, then the song minutes for the symphonic choir are 3.5c; therefore, we have the inequality

3.5c+21\leq 72<em> (this says the song minutes for jazz choir plus song minutes for symphonic choice cannot exceed 72 minutes )</em>

We solve this inequality by subtracting 21 from both sides and then dividing by 3.5:

3.5c\leq 51

$c\leq \frac{51}{3.5} $

c\leq 14.47

The maximum integer value c can take is 14; therefore, the maximum number of songs the symphonic choir can record is 14 songs.

3 0
3 years ago
Use the rule of 78 to find the finance charge refund if the Finance charge was $476 on a 12 month payment plan and the loan was
Lelu [443]

Answer:

finance charge refund is $91.53

Step-by-step explanation:

given data

finance charge F = $476

time t = 12 month

no of payment n = 5

to find out

finance charge refund

solution

we will apply here finance charge refund formula that is

finance charge refund = F × \frac{n * (n+1)}{t* (t+1)}

put here value we get

finance charge refund = 476 × \frac{5 * (5+1)}{12* (12+1)}

finance charge refund = 476 × \frac{5 * (6)}{12 * (13)}

finance charge refund = 476 × \frac{30}{156}

finance charge refund = 476 × 0.1923

finance charge refund = 91.53

so finance charge refund is $91.53

4 0
3 years ago
Pedro is building a playground in the shape of a right triangle. The base of the triangle is 18 yards. The height of the triangl
Bezzdna [24]

Answer:

567 square yards

Step-by-step explanation:

The Area for 1 Triangular playground = 1/2 × Base × Height

The base of the triangle is 18 yards. The height of the triangle is 21 yards.

Hence:

= 1/2 × 18 yards × 21 yards

= 189 square yards

The area of the Triangular 3 playground is given as:

= 3 × 189 square yards

= 567 square yards

6 0
3 years ago
What is the standard form of the polynomial: 9x(squared)+ 5x+27+2x(to the power of 3
REY [17]

Step-by-step explanation:

hope it's helpful.........

6 0
3 years ago
Order Of operation.
Nikolay [14]

Answer

18(2)+12(2)-4(5)

36+24-20

60-20

40

Step-by-step explanation:

since they had two-18 yard passes and two 12 yard runs, that's the first part of the expression, and then they had four penalties that cost them 5 yards, and that was the last term. When you simplify, you end up with 40 yards gained.

In math

Passes: 18(2)

Runs: 12(2)

Penalties:4(5)

equation

18(2)*12(2)-4(5)

Hope it helped

7 0
3 years ago
Read 2 more answers
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