Answer:
140 degrees
Step-by-step explanation:
A straight line is 180 degrees and since we are given 40 degrees of that acute angle, we know that whatever the missing angle degree is, it cant be over 180 degrees or less than 40 degrees. So we take our full measure 180 and subtract 40 because that's what is given.
Answer:
f^-1(x) = (x² + 21)/7
Step-by-step explanation:
Since f(x) = y = √(7x – 21), to find the inverse of f(x) we have to write x in terms of y in order to make x the dependent variable and y the independent variable. The steps involved are:
Step 1: square both sides of the equation, y = √(7x – 21). Doing that, we have:
y² = 7x – 21
Step 2: Add 21 to both sides of the resulting equation. Doing that, we have:
y² + 21 = 7x
Step 3: Divide both sides of the equation by 7. Doing that we have:
x = (y² + 21)/7
Step 4: Replace x with f^-1(x) and y with x. Doing that, we have:
f^-1(x) = (x² + 21)/7
the answer is 6. Because the ratio of 7:14 simplified is 1:2. So all you have to do is divide 12 by 2 and you get your answer, 6.
Answer: 20 seconds
Step-by-step explanation:
The distance is 540 feet
speed of the girl = 15ft/s
speed of the puppy = 12 ft/s
If we stand in the frame of reference where the girl is still, in this frame the speed of the puppy will be equal to the speed of the puppy in our previus frame plus the speed of the girl in the previous frame (because they are running in opposite directions)
S = 15 ft/s + 12ft/s = 27ft/s
Now we can use the equation:
time = distance/speed
T = 540ft/27ft/s = 20s
Each teacher will get 3/4 gallon of paint. You need to divide the 3 gallons by 4 to get an even amount per person.
