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WARRIOR [948]
3 years ago
15

given sin a = .29 find the angle a in degrees. round your answer to the nearest hundredth. 16.86° 15.86° 14.86° 13.86°

Mathematics
2 answers:
Tema [17]3 years ago
7 0

Answer:

16.86°

Step-by-step explanation:

Given the value for sin(a) = 0.29, we need to find the angle, in this case, a, whose sin(a) = 0.29.

In other words, we need to find <em>the inverse function</em> for the function in question.

In this case, the inverse function of <em>sin(x)</em> is <em>arcsin(x) </em>(which is also commonly known as \\ sin^{-1}(x)).

So, for \\ sin(a) = 0.29, we can find the function \\ sin^{-1}(x) in a digital calculator, or asking WolframAlpha in Internet, so we have that \\ sin^{-1}(0.29)=16.86 degrees (°).

In fact, we can check this result for a = 16.86°:\\ sin(16.86) = 0.29.

In other words, we found that 16.86° is the <em>angle in degrees</em> whose \\ sin(16.86) = 0.29.

<u>One word of caution</u>: we need to be careful about if we are using <em>degrees</em>  (known for this symbol ° ) or <em>radians</em> when calculating <em>angles</em>.

In the past, people were used to consult large tables with values for \\ sin(x), cos(x), tan(x) and so on, and looking for the <em>angle</em> that generated such a value of \\ sin(x), cos(x), tan(x), respectively.

There are many other cases in which we have inverse functions, for example, logartithm is the inverse function of exponential function.

LenaWriter [7]3 years ago
4 0
Given that sin a = .29 then the angle a in degrees is 16.86<span />
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Alina [70]
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The width of each rect. is 1/2.

The heights of the 3 inscribed rect. are {-2.25+6, -1+6, -.25+6} = {3.75,5,5.75}.

The areas of these 3 inscribed rect. are (1/2)*{3.75,5,5.75}, which come out to:

{1.875, 2.5, 2.875}

Add these three areas together; you sum will represent the approx. area under the given curve on the given interval:  1.875+2.5+2.875 = ?
5 0
3 years ago
Shelly and Mickelle are making a quilt. They have a piece of fabric that measures 48 inches by 168 inches.
irinina [24]

Answer:

(a) The largest square side is 24 inches

(b) No. of pieces are 14

Step-by-step explanation:

As per the question:

The dimensions of the fabric are 48 in\times 168 in

(a)To calculate the side length of the largest square piece, we need to find the Greatest Common Factor (GCF) of the dimensions as:

48 = 2\times 2\times 2\times 2\times 3

168 = 2\times 2\times 2\times 3\times 7

Therefore,

The GCF of the dimensions = 48 = 2\times 2\times 2\times 3 = 24

Therefore, the largest side of  a square that can be cut from the fabric is 24 inches.

(b) The no. of pieces of 24 inches that can be cut from the fabric can be given as:

No. of pieces = \frac{Total\ Area}{Area\ of\ largest\ square}

No. of pieces = \frac{48\times 168}{24\times 24} =  14

7 0
3 years ago
Read 2 more answers
Find the value of r so the line passes through each pair of points has the give slopes
Art [367]

Answer:

r=64

Step-by-step explanation:

First, let's start with what we have. If we use y=mx+b here's what we can put in:

y=-4x+b

Then we can use one of the given points to find the y-intercept. Since the only complete one is (12,10), we'll use that.

10=-4(12)+b\\10=-48+b\\58=b

So now we have y=-4x+58.

Now we can use our other point with the missing y-value and solve for y.

r=-4(-2)+58\\r=64

So the missing value is 64.

Hope this helps!

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2 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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