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Mashcka [7]
3 years ago
5

Using the Law of Sine or Cosine, solve for the unknown variable (round to the

Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0

Answer:

33.18208

Step-by-step explanation:

This can be solved via Law of Sines, but I´m gonna use sines for the sake of efficiency. :P

So, you have your 3 values and unknown length x.

First set up your proportions: \frac{sin(65)}{x}=\frac{sin(35)}{21}

Cross multiply. x=\frac{21sin(65)}{sin(35)}

Simplify. x=33.18208

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The aNSWER IS 41..AM I RIGHT?
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3 years ago
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Two friends start at the same point. they walk in opposite directions for 3 meters, then turn left and walk another 3 meters. th
vladimir2022 [97]
3^2+3^2=18
√ 18 + √18=2√18 or 6√2 meters
They are 6√2 meters apart or approximately 8.49 meters.
3 0
3 years ago
Find the value of x.
dimaraw [331]

Answer:

2\sqrt{77}

Step-by-step explanation:

Use the Pythagorean theorem. a^{2} +b^{2}=c^{2}

a and b are the two side lengths

c is the hypotenuse (value across from the right angle)

Plug in the values that you are given.

a^{2} +4^{2} =18^{2}

Solve for x

x^{2} =18^{2} -4^{2}

x^{2} =308

x=\sqrt{308}

x=2\sqrt{77}

5 0
3 years ago
Find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414. (b)
Akimi4 [234]

Answer:

Part (a) The value of Z is 0.10396. Part (b) The value of Z is 0.410008.

Step-by-step explanation:

Consider the provided information.

Part (a)

In order to find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414, simply find 0.5414 in the table and search for the appropriate Z-value.

Now, observing the table it can be concluded that the value of Z is 0.10396.

Part (b)

Consider the number 65.91%

The above number can be written as 0.6591.

Now, find 0.6591 in the table and search for the appropriate Z-value.

By, observing the table it can be concluded that the value of Z is 0.410008.

7 0
3 years ago
2) Dorothy types 120 words per minute. How many words does Dorothy type in
Damm [24]

Answer:

D (210)

Step-by-step explanation:

120 times 1.75 equals 210

6 0
3 years ago
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