Answer:
A: 71°
Explanation:
The interior angles of a triangle must always equal 180°.
We have two of the angles, and if we add them up and subtract it from 180°, we can get the missing angle.
49+60+x=180
Add 49 and 60
109+x=180
Isolate the x, so subtract 109 from 180
x=71°
This is a unit multiplier of sorts
1,900,000 x 45/30
Simplify
1,900,000 x 3/2
2,850,000
Answer:
The length of the hypotenuse is 4.1 in
Step-by-step explanation:
By definition, the sine of an angle is:
In this case they tell us that the opposite side measures 4 inches and the angle x measures 80 °.
With this information we can find the length of the hypotenuse h
Finally the length of the hypotenuse is 4.1 in
The triangle lengths would be 14√2, 7√2 and 7√6.
The sides of a 45-45-90 triangle can be listed as t, t and t√2. The legs are each 14, so the hypotenuse will be 14√2.
This will also be the longest side of the 30-60-90 triangle. Its sides can be listed as t, 2t and t√3. Since the hypotenuse is the longest side, we have:
2t=14√2
Dividing both sides by 2, we have:
2t/2 = 14√2/2
t = 7√2
The remaining side will be t√3:
t = 7√2
t√3 = 7√2(√3) = 7√6
66 2/3% of 22= 14.6666667 is the answer.
