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Phantasy [73]
3 years ago
9

f sinx is approximately 0.2588, what is the measurement of x to the nearest degree? Approximately, what is the cosine of the ang

le that is complementary to x?
Mathematics
1 answer:
AysviL [449]3 years ago
3 0
There are buttons on all scientific calculators for inverse trig functions.

Usually denoted as "arcsin, arccos" or with a little -1 inverse sign like this:
 sin^{-1} (0.2588) = 14.99

You put in the measurement and it gives back the angle. I

angle x = 15°

complimentary angles add up to 90° so the angle that's complimentary is 90-15 = 75°
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Carol's starting pay for her summer job is $10.25 per hour. Carol earns exactly 3 raises this summer.
kvv77 [185]
She starts off with $10.25 and gets a raise of $0.50, so she earns $10.75 per hour. Then she gets a raise of 10%, so then 10.75 x 0.10 = 1.075, so she earns $11.825 per hour. Then her third raise is $0.50 so she earns $12.325 per hour. The raise for next summer is 5%, so 12.325 x 0.05 = 0.61625, so she earns $12.94125.
She will earn about $12.94 per hour starting off next summer.
6 0
3 years ago
3. Is the relationship shown by the data linear? If so, model the data with an equation X | Y 1 ,5| 5,10| 9,15| 13,20|
son4ous [18]

Answer:

y=\frac{5}{4}x+\frac{15}{4}

Step-by-step explanation:

x | y

-------

1     5

5   10

9    15

13   20

This one is linear because as x goes up by the same number so does y. So the ratio of difference of y to difference of x is the same per pair of points.

So a linear equation in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

To find the slope, I'm going to line up the points vertically and subtract, then put 2nd difference over 1st difference. Like so,

( 1    ,   5)

-( 5   ,  10)

----------------

-4          -5

So the slope is 5/4 which makes sense since the y's are going up by 5 each time and the x's are going up by 4 each time.

So we have m=5/4. Let's plug that into our y=mx+b.

y=5/4 x+b

To find b, we need to use y=5/4 x+b along with one of the given points.

Choose; it doesn't matter.  I like (1,5) I guess.

y=5/4 x +b with (1,5)

5=5/4 (1)+b

5=5/4    +b

Subtract 5/4 on both sides:

5-5/4=b

20/4-5/4=b  (Found a common denominator)

15/4=b

The y-intercept is 15/4 so b=15/4.

So the equation for the line in slope-intercept form is y=5/4 x +15/4.

y=\frac{5}{4}x+\frac{15}{4}

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The answer is

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