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3 years ago

Need help with some inverse trigonometric expressions, rounded to the nearest degree.

Mathematics

1 answer:

rjkz [21]3 years ago

6 0

A Google or Bing search box can be your friend, if you don't have a calculator with inverse trig functions. Most calculators that have trig functions also have the inverse functions, usually after a 2nd or "shift" key. Often, there is a mode setting for degrees or radians.

arcsin(0.33) ≈ 19°
arccos(0.47) ≈ 62°
arctan(1.21) ≈ 50°
arcsin(0.82) ≈ 55°

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Help!! BRAINLIEST TOO!

natulia [17]

Answer:

36.5 inches

Step-by-step explanation:

Given

See attachment for the given data

Required

Which length is closest to 4.2lb

The given data is a linear dataset.

So, we start by calculating the slope (m)

$m =\frac{y_2 - y_1}{x_2 - x_1}$

Pick any two corresponding points from the table

So, we have:

$(x_1,y_1) = (8,1.21)$

$(x_2,y_2) = (12,1.63)$

So:

$m =\frac{y_2 - y_1}{x_2 - x_1}$

$m =\frac{1.63 - 1.21}{12 - 8}$

$m =\frac{0.42}{4}$

$m =0.105$

The linear equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y = 0.105 * (x - 8) + 1.21$

Open bracket

$y = 0.105x - 0.84 + 1.21$

$y = 0.105x + 0.37$

To get the length closest to 4.2lb,

we set $y = 4.2$

Then solve for x

So, we have:

$y = 0.105x + 0.37$

$4.2 = 0.105x + 0.37$

Collect like terms

$0.105x= 4.2 - 0.37$

$0.105x= 3.83$

Solve for x

$x= 3.83/0.105$

$x\approx 36.5$

4 0

3 years ago

Simplify the following expressions by using the order of operations

MariettaO [177]

11. 6 + 5 * 2 + (-3)
6 + 10 - 3
16 - 3
13 <==

12. 67 + 84 - 12 * 4 / 16
67 + 84 - 48/16
67 + 84 - 3
148 <==

13. -5 * -6 - 25/5 - 2
30 - 5 - 2
23 <==

14. 18 - (9 + 3) + 2^3
18 - 12 + 8
14 <==

15. -24 / -6 * 2
4 * 2
8 <==

16. 8 [ (26 + 10) - 4(3 + 2)]
8 [ (36 - 4(5)]
8 [ 36 - 20 ]
8 [ 16 ]
128 <==

17. 6 * 3 / 9 * 2 + 1
18/9 * 2 + 1
2 * 2 + 1
4 + 1
5 <==

18. (9 - -4)(-8 - -7)
(9 + 4)(-8 + 7)
13 * -1
-13 <==

5 0

3 years ago

Felicity accidentally overdrew her bank account by $24.65. She then deposited a birthday check from her grandma for $25.00, paid

tensa zangetsu [6.8K]

Answer:

It would be -13.6

Step-by-step explanation:

I used my calculator for this,

-24.65 +25 - 46.75 + 32.80 = -13.6

7 0

3 years ago

If a 30% discount is put on an item, and the sale price is $206.50, then what was the original price?

s2008m [1.1K]

Answer:

295

Step-by-step explanation:

.3 x 295 = 88.5

295 - 88.5 = 206.5

8 0

3 years ago

Find the volume of cylinder shaped cup. Use 3.14 for pi. Round your answer

IRINA_888 [86]

Volume = pi * radius^2 * height

= 3.14 * 5^2 * 13

= 3.14 * 25 * 13

= 1020.5

5 0

2 years ago