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Natali5045456 [20]
3 years ago
8

Trigonometry

Mathematics
1 answer:
Alla [95]3 years ago
3 0

90° is equal to  \frac{\pi}{2} or 1.5707 radians.

Step-by-step explanation:

Step 1:

If an angle is represented in degrees, it will be of the form x°.  

If an angle is represented in radians, it will be of the form \frac{\pi}{x} radians.

To convert degrees to radians, we multiply the degree measure by \frac{\pi}{180}.

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)(\frac{\pi}{180}).

Step 2:

To convert 90°,

90 (\frac{\pi}{180} ) = \frac{\pi}{2}.

0.5 \pi = 1.5707 radians.

So 90° is equal to \frac{\pi}{2} or 1.5707 radians.

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First you multiply the numbers you do have to get the number your looking for 1/7•14=2 and 2divided by 1/7=14 so 2 would be your answer
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A used car dealership buys a car for $2800 and then sells it for $4500 what is the percent increase?
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Read 2 more answers
Line segment ab has endpoints a(9, 3) and b(2, 6). find the coordinates of the point that divides the line segment directed from
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When we are to divide the line segment such that the ratio is 1:2, there are actually 3 parts of the segment. First, we determine the distance between the coordinates and divide the distance by 3. Then, we add the quotient to the x-coordinate.

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y-coordinate:    (6 - 3 ) / 3 = 1

Adding them to the coordinates of a,
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7 0
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Please help! Thanks in advance.
alukav5142 [94]
In this problem, we need to plug in the given x values for f(x)=0 and find a and b.

When we plug in 1, we get: 2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0

Simplify:
2 - 5 - 14 + a + b = 0
- 17 + a + b = 0
a + b = 17

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0
512 - 320 - 224 + 4a + b = 0
- 32 + 4a + b = 0
4a + b = 32

Now we have our second one. We can combine them:
a + b = 17 \\ 4a + b = 32

I use elimination method which is easier here.

Multiply the top equation by -1: - a - b = - 17 \\ 4a + b = 32

Add them up:
3a = 15

Simplify:
a = 5

Now we have a, we can plug in one of those equations to find b:
5 + b = 17
b = 17 - 5
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So, the answers are a=5 and b=12 .
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3 years ago
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