Answer:
4.03 is your answer.
Step-by-step explanation:
4.836 divided by 1.2
4.836/1.2 = 4.03
4.03 is your answer.
Answer:
Problem B: x = 12; m<EFG = 48
Problem C: m<G = 60; m<J = 120
Step-by-step explanation:
Problem B.
Angles EFG and IFH are vertical angles, so they are congruent.
m<EFG = m<IFH
4x = 48
x = 12
m<EFG = m<IFH = 48
Problem C.
One angle is marked a right angle, so its measure is 90 deg.
The next angle counterclockwise is marked 30 deg.
Add these two measures together, and you get 120 deg.
<J is vertical with the angle whose measure is 120 deg, so m<J = 120 deg.
Angles G and J from a linear pair, so they are supplementary, and the sum of their measures is 180 deg.
m<G = 180 - 120 = 60
Answer:
Chris will take 0.75 seconds to return to his starting height of 10 feet.
Step-by-step explanation:
Let the height of Chris be represented by
, where
is the height in feet and
, the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:
![-16\cdot t^{2}+12\cdot t +10 = 10](https://tex.z-dn.net/?f=-16%5Ccdot%20t%5E%7B2%7D%2B12%5Ccdot%20t%20%2B10%20%3D%2010)
![-16\cdot t^{2}+12\cdot t = 0](https://tex.z-dn.net/?f=-16%5Ccdot%20t%5E%7B2%7D%2B12%5Ccdot%20t%20%3D%200)
Then, we simplify the expression by algebraic means:
![-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0](https://tex.z-dn.net/?f=-16%5Ccdot%20t%5Ccdot%20%5Cleft%28t-%5Cfrac%7B3%7D%7B4%7D%20%5Cright%29%20%3D%200)
Roots of the polynomial are, respectively:
![t = 0\,s\,\lor \,t = 0.75\,s](https://tex.z-dn.net/?f=t%20%3D%200%5C%2Cs%5C%2C%5Clor%20%5C%2Ct%20%3D%200.75%5C%2Cs)
First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.
Answer:
-16c - 8
Step-by-step explanation:
Answer:
Jacey has 48 rocks. Carter has 6 rocks.
If Carter and Jacey are the only factor owners of 54 rocks
We divide 48 by 8 = 6 rocks: 42 difference;
Which is also 54 as 6 + 48 = 54
They now have 48 difference
6,6, 6,6, 6,6, 6,6 = 48
We see 48 - 6 = 42.
We also see 48 + 6 = 54
54=6 = 48
48 difference is the denominating divider; meaning 48/8 = 6 is how we first find the answer before adding on the 6 to show the difference of 8 equal shares.