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babunello [35]
3 years ago
12

Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

Mathematics
1 answer:
algol133 years ago
4 0
Answers:
x = 24
y = 8√3
Explanation:

1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.

2) The variables given represent:

x: adjacent-leg to angle 30°
y: opposite length to angle 30°

3) sine ratio:

sin 30° = opposite-leg / hypotenuse = y / (16√3)

⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3

4) cosine ratio

cos 30° = adjacent-leg / hypotenuse = x / (16√3)

⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24

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Given:

The function f(x) describes the amount of money, in dollars, the club will earn for wrapping x presents.

f(x)=3x

To find:

The f(658).

Solution:

We have,

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Substitute x=658 to find the value of f(658).

f(658)=3(658)

f(658)=1974

It means, the club will earn $1974 for wrapping 658 presents.

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2 years ago
If the compound interest paid for rupees 4000 is rupees 420 then find the
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Answer:

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Step-by-step explanation:

Given

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4 0
2 years ago
Which expression is equivalent to m^2-13m-30?
sergiy2304 [10]

Answer: First option

Step-by-step explanation:

You have the quadratic equation given in the problem:

m^2-13m-30

To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.

These numbers would be -15 and 2.

Therfore, you obtain the following equivalent expression:

(m-15)(m+2)

If you don't want to apply the method above, you can use the quadratic formula:

x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}

Where:

a=1\\b=-13\\c=-30

When you susbstitute values you obtain that:

x=15\\x=-2

Then you can rewrite the equation as (m-15)(m+2)

7 0
2 years ago
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Answer:

Following are the solution to the given points:

Step-by-step explanation:

When the two-tailed were testing then:

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Testing the statistics:

\to z = 2.08\\\\P-value = 0.0375\\\\\alpha = 0.01\\\\0.0375> 0.01\\\\P-value < \alpha\\\\

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3 years ago
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