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2 years ago

Find the sine and cosine of the angle whose terminal side passes through (-7,2)

Mathematics

1 answer:

kolezko [41]2 years ago

4 0

Answer:

The sine = 0.2724 and the cosine = -0.9615 to 4 decimal places.

Step-by-step explanation:

The point (-7,2) is in the second quadrant .

The sine is positive and the cosine is negative,.

The hypotenuse of the triangle in the second quadrant = √((-7)^2 + 2^2)

= √53 ( by Pythagoras), the opposite side = 2 and the adjacent side = -7.

So the sine of the angle is 2 /√53 and the cosine is -7/√53.

or 0.2724 and -0.9615 to 4 decimal places.

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At a ski resort, 1/4 of the 300 skiers are beginners, and 1/4 of the 260 snowboarders are beginners. The resort staff used the d

Evgen [1.6K]

$\frac{1}{4}(300 + 260) = \frac{1}{4} \times 300 + \frac{1}{4} \times 260$ is the expression that demonstrates the distributive property

<em><u>Solution:</u></em>

Given that,

At a ski resort, $\frac{1}{4}$ of the 300 skiers are beginners

$\frac{1}{4}$ of the 260 snowboarders are beginners

The resort staff used the distributive property to make the calculation of the total number of beginners on the ski slopes

Beginners in skiers = $\frac{1}{4}$ of the 300

Beginners in snowboarders = $\frac{1}{4}$ of the 260

Total number of beginners = Beginners in skiers + Beginners in snowboarders

$\text{ Total number of beginners } = \frac{1}{4}(300) + \frac{1}{4}(260)$

We have to use distributive property

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum

<em><u>Therefore, our expression is:</u></em>

$\frac{1}{4}(300) + \frac{1}{4}(260)$

We have to take $\frac{1}{4}$ as common term to get distributive property

$\frac{1}{4}(300) + \frac{1}{4}(260) = \frac{1}{4}(300 + 260)\\\\\frac{1}{4} \times 300 + \frac{1}{4} \times 260 = \frac{1}{4}(300 + 260)$

Thus distributive property is applied

8 0

2 years ago

3(h + 5) + h + 2<br> Thanks to everyone have a great day ❤️

Harrizon [31]

Answer:

4h+17

Step-by-step explanation:

Hey There!

So to solve this problem we need to use distributive property

So we need to distribute the 3 to everything that is in the parenthesis ( h and 5)

3xh=3h

3x5=15

so now we have

3h +15 + h + 2

now we just combine like terms

3h+h=4h

15+2=17

So the answer is 4h+17

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No solution (D)
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Kobotan [32]

Answer:

Step-by-step explanation:

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3 years ago