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emmasim [6.3K]
3 years ago
15

Find X. Round to the nearest tenth.

Mathematics
1 answer:
lina2011 [118]3 years ago
8 0

Answer:

21.4 degrees =x

Step-by-step explanation:

We can use the law of sines to solve this problem

sin A            Sin B

------------ = ----------

a                  b

where A is the angle and a is the opposite side

sin 42           Sin x

------------ = ----------

22                  12

Using cross products

12 sin 42 = 22 sin x

Divide by 22

12/22 sin 42 = 22/22 sin x

12/22 sin 42 =  sin x

Take the arcsin of each side

arcsin (12/22 sin 42) = arcsin( sin x)

arcsin (12/22 sin 42) =  x

21.40637223=x

Rounding to the nearest tenth

21.4 degrees =x

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What is the value of sine of begin argument 45 degrees end argument?
nirvana33 [79]

Answer:

Option A

fraction numerator square root of 2 over denominator 2 end fraction

Step-by-step explanation:

The answer can be obtained using a calculator.

It corresponds to a notable identity

sin (45) =  \sqrt{2} / 2

sin (45) = 0.7071

\sqrt{2} / 2  = 0.7071

Please see attached picture

5 0
3 years ago
If five times of a number is 125 then 0•8 of this number is​
Nady [450]

Answer:

20

Step-by-step explanation:

5n = 125

n = 25

0.8 x 25 = 20

5 0
3 years ago
A runner runs around a circular track. He completes one lap at a time of t = 269 s at a constant speed of v = 4.6 m/s. What is t
AURORKA [14]

Answer:

\boxed{\text{197 m}}

Step-by-step explanation:

The formula relating distance (d), speed (s), and time (t) is

d = st

1. Calculate the distance

d = 269 s × 4.6 m·s⁻¹ = 1240 m

2.Calculate the track radius

The distance travelled is the circumference of a circle

\begin{array}{rcl}C & = & 2 \pi r\\1240 & = & 2 \pi r\\\\r & = & \dfrac{1240}{2 \pi }\\\\& = & 197\\\end{array}\\\text{The radius of the track is }\boxed{\textbf{197 m}}

5 0
3 years ago
Write a word problem that could be solved using the expression 2x+60​
Sonbull [250]

Answer:

Step-by-step explanation:

james want to buy a sirt that cost 95 dollars. he only has 60 dollars saved.

if james gets paid 2 dollars a day how many days would he have to work to get 80 dollars.

solve for x

y=2x+60

95=2x+60

3 0
3 years ago
Solve for x. <br> 4x-5/y=2z
Monica [59]
So you don't know the value of x, y, or z; all you're told is to solve for x. This is not impossible (even though it may seem like it). Your answer will have several variables in it, but in algebra you won't always have the complete answer.
Start with the equation: 4x - 5 / y = 2z
The first thing you'll want to do to it is try to get x alone on one side.
4x - 5 / y = 2z
       +5       +5 --> 4x / y = 2z +5
                               *y           *y --> 4x = y (2z + 5)
                                                        /4              /4   --> x = (y (2z + 5)) / 4 
Your final answer will be: x = (y (2z +5)) / 4
Hope it makes sense to you!!
4 0
3 years ago
Read 2 more answers
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