Answer:

Step-by-step explanation:

The common factor is 19

Answer: 36
Step-by-step explanation:
By the triangle midsegment theorem, CE=16, CD=10, and ED=10.
So, the perimeter of triangle CDE is 10+10+16=<u>36</u>
Given that we have the change in temperature over 7 hours and we are looking for the change over 1 hour, we can divide the total change in temperature by 7. Thus, the change in temperature would be
.
Additionally, this can be solved by equations:




By using two different methods, we can determine that the change each hour was equal to 42/7 C° per hour.
<h3>
Answer:</h3>
30 ft; 0.4 min
<h3>
Step-by-step explanation:</h3>
The mnemonic SOH CAH TOA reminds you ...
... Sin = Opposite/Hypotenuse
Here, the angle of elevation is opposite the triangle side representing the distance between floors. The hypotenuse is the length of the conveyor belt. Rearranging the formula (by muliplying by Hypotenuse/Sin), we get ...
... Hypotenuse = Opposite/Sin
Filling in the values from this problem, we have ...
... length of conveyor = (26 ft)/sin(60°) ≈ 30 ft
The time it takes to travel that distance is given by ...
... time = distance/speed
... time = (30 ft)/(75 ft/min) = 2/5 min = 0.4 min
Your answer is three out of the people in your school.