![subject](/tpl/images/cats/mat.png)
Mathematics, 26.04.2021 21:40 twistedhyperboles
In ΔSTU, s = 580 inches, u = 440 inches and ∠U=17°. Find all possible values of ∠S, to the nearest 10th of a degree.
S
T
U
s = 580
u = 440
?°
17°
\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA
=
b
sinB
From the reference sheet (reciprocal version).
\frac{\sin S}{580}=\frac{\sin 17}{440}
580
sinS
=
440
sin17
Plug in values.
\sin S=\frac{580\sin 17}{440}\approx 0.3853991
sinS=
440
580sin17
≈0.3853991
Evaluate.
S=\sin^{-1}(0.3853991)\approx 22.669\approx 22.7^{\circ}
S=sin
−1
(0.3853991)≈22.669≈22.7
∘
Inverse sine and round.
\text{Quadrant II: } 180-22.7=157.3^{\circ}
Quadrant II: 180−22.7=157.3
∘
Sine is positive in quadrants 1 and 2.
\text{Check for possibility:}
Check for possibility:
No triangle's angles may add to more than 180.
17+22.7=39.7^{\circ}\leftarrow \text{Possible}
17+22.7=39.7
∘
←Possible
Less than 180.
17+157.3=174.3^{\circ}\leftarrow \text{Possible}
17+157.3=174.3
∘
←Possible
Less than 180.
\text{ }22.7^{\circ}\text{ and } 157.3^{\circ}
22.7
∘
and 157.3
∘
![ansver](/tpl/images/cats/User.png)
Answers: 2
Another question on Mathematics
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 15:30
It takes a total of 6 hours to fill up an inground backyard pool using a standard house. a function can represent this situation to represent the amount of water in the pool until it is full a function of time the hose is running. determine the domain for the function
Answers: 1
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 16:30
An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.
Answers: 2
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 18:30
The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.
Answers: 1
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 20:30
Aswimming pool had 2.5 million liters of water in it. some water evaporated, and then the pool only had 22 million liters of water in it. what percent of the water evaporated?
Answers: 2
You know the right answer?
In ΔSTU, s = 580 inches, u = 440 inches and ∠U=17°. Find all possible values of ∠S, to the nearest 1...
Questions
![question](/tpl/images/cats/himiya.png)
Chemistry, 05.02.2021 05:40
![question](/tpl/images/cats/mat.png)
Mathematics, 05.02.2021 05:40
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 05.02.2021 05:40
![question](/tpl/images/cats/himiya.png)
Chemistry, 05.02.2021 05:40
![question](/tpl/images/cats/himiya.png)
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/en.png)
![question](/tpl/images/cats/fizika.png)
Physics, 05.02.2021 05:40
![question](/tpl/images/cats/istoriya.png)
History, 05.02.2021 05:40
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/himiya.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/en.png)
English, 05.02.2021 05:40
![question](/tpl/images/cats/biologiya.png)
Biology, 05.02.2021 05:40
![question](/tpl/images/cats/en.png)
![question](/tpl/images/cats/geografiya.png)
Geography, 05.02.2021 05:40
![question](/tpl/images/cats/pravo.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 05.02.2021 05:40