Answer:
8.5 units
Step-by-step explanation:
The distance between two points is given by

Taking points (-12, 11) and (-18, 17) as the first and second points respectively then


d=8.48528137423857 units
Rounded off to nearest tenths
d=8.5 units
Answer:
435 ft
Step-by-step explanation:
Reference angle = <P = 49° (angle of elevation)
Opposite side = 500 ft
Adjacent side = d = ?
Apply trigonometric function, TOA.
This:
Tan P = opp/adj
Tan 49 = 500/d
d × Tan 49 = 500
d = 500/Tan 49
d = 434.643369 ≈ 435 ft (to the nearest foot)
Answer:
20 yd^2
Step-by-step explanation:
Your work is partially correct.
Assuming that the sides marked 8 yds and 2 yds are parallel, then the area of the trapezoid is
A = ( 8 yds + 2 yds)
------------------------ * 4 = 20 yd^2
2
General Idea:
Domain of a function means the values of x which will give a DEFINED output for the function.
Applying the concept:
Given that the x represent the time in seconds, f(x) represent the height of food packet.
Time cannot be a negative value, so

The height of the food packet cannot be a negative value, so

We need to replace
for f(x) in the above inequality to find the domain.
![-15x^2+6000\geq 0 \; \; [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0](https://tex.z-dn.net/?f=%20-15x%5E2%2B6000%5Cgeq%200%20%5C%3B%20%5C%3B%20%20%5BDivide%20%5C%3B%20by%5C%3B%20-15%5C%3B%20on%5C%3B%20both%5C%3B%20sides%5D%5C%5C%20%5C%5C%20%5Cfrac%7B-15x%5E2%7D%7B-15%7D%20%2B%5Cfrac%7B6000%7D%7B-15%7D%20%5Cleq%20%5Cfrac%7B0%7D%7B-15%7D%20%5C%5C%20%5C%5C%20x%5E2-400%5Cleq%200%5C%3B%5BFactoring%5C%3Bon%5C%3Bleft%5C%3Bside%5D%5C%5C%20%5C%5C%20%28x%2B200%29%28x-200%29%5Cleq%200%20)
The possible solutions of the above inequality are given by the intervals
. We need to pick test point from each possible solution interval and check whether that test point make the inequality
true. Only the test point from the solution interval [-200, 200] make the inequality true.
The values of x which will make the above inequality TRUE is 
But we already know x should be positive, because time cannot be negative.
Conclusion:
Domain of the given function is 
Answer:
1 wall is 0.75 gallons. 3 walls is 2.25 gallons.
Step-by-step explanation:
if 1 gallon covers 1 1/3 wall, divide 1/1.3333 = 0.75
multiply 0.75(1 wall) by 3.... 0.75×3=2.25