4x-10 and 7x-8 are supplementary angles and thus add up to 180 degrees.
Thus, 11x - 18 = 180 degrees.
Combining like terms, 11x = 198, and x = 18.
The two supplementary angles are 4(18)-10 and 7(18)-8, or 62 and 118 degrees.
Answer:
The probability that 10 adults selected at random from the town all have health insurance is 0.01153.
Step-by-step explanation:
Consider the provided information.
One town, 64% of adults have health insurance.
Let p = 64% = 0.64
Therefore, q=1-0.64=0.36
We need to find the probability that 10 adults selected at random from the town all have health insurance
Use the formula: 
Here, the value of r is 10.
Substitute the respective values in the above formula.
Hence, the probability that 10 adults selected at random from the town all have health insurance is 0.01153.
This question would actually go under physics
Assuming that the model rocket goes straight up into the air and not at an angle, you can calculate for the maximum height by finding how long it takes for the velocity of the rocket to reach 0.
This can be calculated using the equation
t = (v sinx) /g
where t=time, v=velocity at zero seconds, x=angle of launch, g=gravity
Since we are assuming that the rocket flies straight up, the angle would be 90º, so sinx would be equal to 1.
That reduces are equation to
t = v / g
g=9.81 m/s^-2
So we need to convert gravity to feet/second^-2 and divide 160 by g, 160 being the initial velocity.
g=9.81 m/s^-2 = <span>32.2 ft/s^-2
160/32.2 ≈ 4.97 seconds
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Answer:
B. 20
Step-by-step explanation:
First, 20% of 20 is 4.
36 decreased by 4 (36-4) is 32.
The equation is N (160%)=32 or 1.6n=32
160% because it was already 100%, and its increased by 60% (100+60)
Divide both sides by 1.6.
You get n=20
I hope this helps!
It should be 34/5*. If you create an improper fraction out of the original one, then creating the reciprocal will be easier.
