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Dovator [93]
3 years ago
14

Find x. Round your answer to the nearest tenth of a degree.

Mathematics
2 answers:
77julia77 [94]3 years ago
8 0
This is the concept of trigonometry, the value of x will be calculated as follows;
sin theta=[opposite]/[hypotenuse]
theta=x
opposite=16 units
hypotenuse=21 units
thus;
sin x=16/21
hence;
x=arcsin(16/21)
x=49.63
x=50 (to the nearest degrees)

svp [43]3 years ago
4 0

Answer: x=49.6^{\circ}

Step-by-step explanation:

In the given figure , we have right triangle with hypotenuse 21 units and the side opposite to angle x is 16 units.

According to the trigonometry,

\sin \theta = \dfrac{\text{side opposite of }\theta}{\text{Hypotenuse}}

So for , the given figure , we have

\sin x = \dfrac{16}{21}\\\\\Rightarrow\ \sin x\approx0.7619\\\\\Rightarrow\ x=\sin^{-1}(0.7619)=0.8662\text{ radian} (using sine calculation)

Convert radian into degrees , we have

x=0.8662\times\dfrac{180^{\circ}}{\pi}\\\\=0.8662\times\dfrac{180^{\circ}}{3.14159}=49.6319852107\approx49.6^{\circ}  [Round to the nearest tenth.]

Hence, x=49.6^{\circ}

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Please help I have no idea how to do this!
Alexus [3.1K]

Answer:

D. <B = 141°

Step-by-step explanation:

The <u>sum of interior angles</u> of a polygon is

(n-2)*180, where n is the number of sides!

Sum of angles for our polygon that has 7 sides must be:

(7-2) *180 = 5*180 = 900

Sum of angles that are in the picture are:

120+129+130+142+90+148+ <B = 759 + <B

<B = 900 -759 = 141°

Check our work:

120°+129°+130°+142°+90°+148°+ 141° = 900°✅

7 0
2 years ago
the bowling alley charges a flat rate of $50 for a birthday party plus $4.25 per person. If Emanuel only has $125 to spend. How
Maksim231197 [3]

125 > 50 + 4.25*p

subtract 50 from each side

75 =>4.25p

divide by 4.25

p>17.64

He may invite up to 17 people ( if he doesn't have to pay for himself)

He may invite 16 if he has to pay for himself

3 0
3 years ago
Ms. Ache is paid $1250 per week but is fined $100 each day she is late to work. Ms. Ache wants to make at least $3,000 over the
faust18 [17]
She can have 7 days off at most because 3 X 1250 = 3750 - 700 = 3050
7 0
3 years ago
Find the measure of each exterior angle.
devlian [24]

Answer:

The answer is 137 degrees

Step-by-step explanation:

Add up the two angles you know already

93 + 44 = 137

Then you take that number and subtract it from 180 in order to find the other interior angle.

180 - 137 = 43

So angle LKJ is 43 degree

Now to find the exterior angle you take the missing angles measurement

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3 years ago
What number is halfway between 100,000 and 200,000
Serhud [2]
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