Answer:
Connect the arcs to make a perpendicular bisector
Answer:
A proportion is the name we give to a statement in which 2 ratios are equal. Proportions are built off of ratios. It is usually written in one of 2 ways
Step-by-step explanation:
You are given the height of the building and the length of the shadow the building gives, so you can set that up as a proportion of Height of building over the length of the shadow so 31/28.
Now you can set the same proportion for Julian, using X for her height, so you would have x/6.
To solve for her height, set the two proportions equal and solve for x:
31/28 = x/6
Cross multiply:
31 * 6 = 28 *x
186 = 28x
Divide both sides by 28:
x = 186 / 28
x = 6.64 feet tall
The initial velocity is -150m/s.
Remember that:
V(t) = Vi + at, where v(t) is velocity at time t, Vi is initial velocity, and a is acceleration.
We know that the vehicle stopped after 30 seconds, so V(30) = 0.
Let's plug the useful info into our function and solve for a:
0 = -150 + a*30 Add 150 to both sides
150 = 30a Divide both sides by 30
a = 5 m/s²
The average acceleration is 5 meters per second squared.
Answer:
q = 8
Step-by-step explanation:
Given the 2 equations
p + q = 36 → (1)
p - q = 20 → (2)
Add the 2 equations term by term
2p = 56 ( divide both sides by 2 )
p = 28
Substitute p = 28 into (1)
28 + q = 36 ( subtract 28 from both sides )
q = 8