Answer: sin of theta = (√55)/8
Step-by-step explanation:
Cosine is the x-value divided by the hypotenuse. We now know that since cosine is 3/8, that the hypotenuse is 8. In order to find the third side of the triangle (which would be the v-value), we must use Pythagorean theorem. The third side is square root 55. Sine equals the y-value divides by the hypotenuse. We know both of those values, so Sine of theta = square root of 55 divided by 8.
Answer:
4x2 + 7x - 6
————————————
x - 2
Step-by-step explanation:
Answer:
The correct options are 3, 4 and 5.
Step-by-step explanation:
It is given that an air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute.
It means the initial height of air balloon is 1000. So, the y-intercept is (0,1000).
The ball falls at a rate of 50 ft per minute. So, the rate of change is

The height of balloon is defined as
![[\because y=mx+b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20y%3Dmx%2Bb%5D)
Where, x is time in minutes.
The balloon will reach the ground when h(x)=0



Therefore the options 3, 4 and 5 are correct.
Answer:
r = - 
Step-by-step explanation:
Given that r varies inversely as t , then the equation relating them is
r =
← k is the constant of variation
To find k use the condition t = - 6 when r = - 2, then
- 2 =
( multiply both sides by - 6 )
12 = k, thus
r =
← equation of variation
when t = - 7, then
r =
= - 