Answer:
6
Step-by-step explanation:
let’s start with putting the unknown to x, in this case it is the number.
5x-5=7+3x, so now we just solve this equation.
5x-3x=7+5
2x=12
x=6
Answer:
NO amount of hour passed between two consecutive times when the water in the tank is at its maximum height
Step-by-step explanation:
Given the water tank level modelled by the function h(t)=8cos(pi t /7)+11.5. At maximum height, the velocity of the water tank is zero
Velocity is the change in distance with respect to time.
V = {d(h(t)}/dt = -8π/7sin(πt/7)
At maximum height, -8π/7sin(πt/7) = 0
-Sin(πt/7) = 0
sin(πt/7) = 0
Taking the arcsin of both sides
arcsin(sin(πt/7)) = arcsin0
πt/7 = 0
t = 0
This shows that NO hour passed between two consecutive times when the water in the tank is at its maximum height
Answer:
For #1, 8.9.
Step-by-step explanation:
I can attempt to answer it, but I can't promise anything.
Alright, so, the equation for this should be A²+B²=C²
C is usually the longer side, which for you is the side that is missing.
Let's try the first one. If what I see is right, the 2 sides are 4 and 8. A is 8 and B is 4.
That means that the equation would be 8²+4²=C²
That would be 64+16=80
The equation is now 80= c²
The opposite of "to the power of 2" is a square root. So, now you're going to find the square root of 80, which is 8.9 to the nearest tenth.
So, for the first question, the answer should be 8.9
I hope this helps you solve the rest.
Answer:
x = 16
∠A = 39
∠B = 54
∠C = 87
Step-by-step explanation:
Make a equation of all of the angles added together is equal to 180 since the angles of a triangle added together is 180
(4x-10)+(2x+7)+(7x-25)=180
combine like terms
4x+2x+7x-10+7-25 = 180
13x-28=180
solve for x
13x=208
x = 16
plug in x to find the measure of the angle
∠A = 2(16) + 7 = 39
∠B = 4(16) - 10 = 54
∠C = 7(16) - 25 = 87
Add them together to double check your answer
39 + 54 + 87 = 180
hope this helps
