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3 years ago

The perimter of a recrangle is 36 the ratio of the legnths of the sides i 2:7 what are the lengths of the sides

1 answer:

5 0

2 (l + w) = 36
l + w = 18
2x + 7x = 18
9x = 18
x = 2

the length of the sides
l = 2x
l = 2(2)
l = 4

w = 7x
w = 7(2)
w = 14

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What is sin -1 (1/2) if the terminal side of 0 is located in quadrant 1

Lady_Fox [76]

Answer:

sin^-1 (1/2) = 30°

Step-by-step explanation:

* Lets explain how to find the trigonometry functions from the unit circle

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# Positive part of x-axis at (1 , 0) and negative part at (-1 , 0)

# Positive part of y-axis at (0 , 1) and negative part at (0 , -1)

- The terminal of any angle intersect it at point (x , y) where x² + y² = 1

- If The angle between the terminal side and the x-axis is Ф , then

# The adjacent side of Ф = x

# The opposite side of the angle Ф = y

- In the problem the terminal side lies in the first quadrant

∴ all the trigonometry functions are positive

∵ sin Ф = opposite/hypotenuse

∵ The opposite = 1/2 and the hypotenuse is the terminal side = 1

∴ sin Ф = 1/2 ÷ 1 = 1/2

- To find Ф use the inverse function sin^-1 Ф

∵ sin Ф = 1/2

∴ Ф = sin^-1 (1/2)

∴ Ф = 30°

* sin^-1 (1/2) = 30°

6 0

3 years ago

Find the value of x, circles and angles

lorasvet [3.4K]

Answer:

x = 50

Step-by-step explanation:

When two secants intersect in the interior of a circle, the angles formed are the average of the arc an angle and its vertical intercept. In this case, our angle, 73, should be the average of x and 96. We can translate this to an equation and solve:

$\frac{x+96}{2} = 73$

x + 96 = 146

x = 50

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3 years ago

14 kg of apples cost $154.how much would 16kg cost

ankoles [38]

We can set up a proportion, and let x be the amount 16kg would cost: 14/154=16/x. We simplify 14/154 = 1/11. Next, we cross-multiply to get (1)(x)=(16)(11), so x=176. Therefore, 16kg of apples cost $176.
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Hope this helps!

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3 years ago

Read 2 more answers

If you sold 17 units this week out of 153 units in inventory, what percent of your inventory did you sell?

ohaa [14]

Answer:

11.1%

Step-by-step explanation:

17/153= 0.111 x 100= 11.1%

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3 years ago

(-4k4 + 14 + 3k?) + (-364 - 14k - 8)

zepelin [54]

Answer:

it equals 38 because eit makes alot of sense and I e it with

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