Answer:
See below.
Step-by-step explanation:
From the given info the 2 triangles are isosceles with AE = FR and ET = RP because the 2 sets of base angles are equal.
As the base angles are congruent m < E = m < R.
So the are 2 triangles are congruent by SAS, ASA and AAS.
Assuming R and H:
So volume is pir^2 * H = 1500 and H = 1500/(pir^2) while surface area is A= 2pir*H + 2pir^2
A = 2pir(r+h)= 2piR^2 + 2pir*1500/(pir^2)= 2piR^2 + 3000/r
For A to take minimum, get the derivative 4pir - 3000/R^2 and let it be 0
4pir^3 - 3000 = 0
r = cbrt(3000/(4pi)) ≈ 6.20
h = 1500/(pi(6.20)^2) ≈ 12.42
The equation that can be used to find the coldest temperature recorded in Siberia is y + 10 = -80
Let the coldest temperature in Alaska be x
The coldest temperature recorded in Alaska was –80°F
x = –80°F
Let the coldest temperature in Siberia be y
The coldest temperature recorded in Alaska was 10°F warmer than the coldest temperature recorded in Siberia
This can be interpreted as:
Coldest temperature in Alaska = Coldest temperature in Siberia + 10
x = y + 10................(*)
Since x = -80
Substitute x = -80 into equation (*)
-80 = y + 10
This can be re-written as:
y + 10 = -80
The equation that can be used to find the coldest temperature recorded in Siberia is y + 10 = -80
Learn more here: brainly.com/question/2159099
Answer:
The current of the water is 1.714 mph.
Step-by-step explanation:
Let the boat in t hours can travel 18 miles upstream, and 24 miles downstream.
Therefore, if the speed of the boat in still water is 12 mph and that of water is x mph , then we can write
........ (1) and
............ (2)
Now, adding those two equations (1) and (2) we get,
⇒ t = 1.75 hours.
Now, from equation (1) we get
⇒ x = 1.714 mph
Therefore, the current of the water is 1.714 mph. (Answer)
Answer:
y=-x/3-8
Step-by-step explanation:
First we find 2 points:
(0,-8) and (6,-10)
then substitute in y=ax+b equation
-8=0a+b, b=-8
-10=6a-8
a= -1/3
