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olya-2409 [2.1K]
3 years ago
15

To the nearest whole degree, what angle measure has a sine of 0.9123

Mathematics
1 answer:
kakasveta [241]3 years ago
8 0

Answer:

<h3>66° has a sine of 0.9123.</h3>

Step-by-step explanation:

We are given value of sine trigonometric ratio = 0.9123.

We need to find the angle in degrees whose measure has a sine of 0.9123.

So, we need to find the value of sin^{-1}(0.9123).

On plugging sin^{-1}(0.9123) in calculator, we get

65.82°.

Now, we need to round it to the nearest whole degree.

Therefore, 65.82°≈ 66°.

<h3>Therefore, 66° has a sine of 0.9123.</h3>
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Square. If the middle is 90° then all of them have to be.

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Claire is putting up a fence around her rectangular garden. The length is four less than double the width. The perimeter is 22 f
Doss [256]

Answer:

The dimensions are 6 by 5 feet.

Length = 6 feet.

Width = 5 feet.

Step-by-step explanation:

Let the length = L

Let the width = W

Perimeter of a rectangle = 2L + 2W

Translating the word problem into an algebraic equation, we have;

L = 2W - 4 ........equation 1

22 = 2L + 2W .......equation 2

Substituting the value of "L" into equation 2, we have;

22 = 2(2W - 4) + 2W

22 = 4W - 8 + 2W

22 + 8 = 6W

30 = 6W

W = 30/6

Width, W = 5 feet.

To find the length, L

Substituting the value of "W" into equation 1, we have;

L = 2W - 4

L = 2(5) - 4

L = 10-4

Length, L =6 feet

Therefore, the dimensions of the garden are 6 by 5 feet.

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S= 4LW + 2WH; S=152, L=8, W=4. Find H
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H is equal to 3. need the solution?
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Using the distributive property to find the value or each variable what is 5(9+13)=5m+5(13)
elena-s [515]
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3 years ago
At 82°F, a certain insect chirps at a rate of 61 times per minute, and at 91°F, they chirp 124 times per minute. Write an equati
Ganezh [65]

Answer:

y=7x-513

Step-by-step explanation:

Let

x----> the temperature in degrees Fahrenheit

y ---->insect chirping rate in times per minute

we have the ordered pairs

(82,61) and (91,124)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{124-61}{91-82}

m=\frac{63}{9}=7

step 2

Find the equation of the line

we know that

The equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=7  ---> the units are chirps per minute/degree F

take the point (82,61)

substitute and solve for b

61=7(82)+b

61=574+b

b=-513

substitute

y=7x-513

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3 years ago
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