Answer:
3 3/5 minutes
Step-by-step explanation:
Let one measure of volume be 5/9 of a tank, or (5/9)(tank).
We're interested in filling the whole tank, which we represent by (1)(tank) or (9/9)(tank.
Write and solve an equation of ratios:
(5/9) (tank) 2 minutes
------------------- = ----------------
(9/9) (tank) x
Solve for x, which represents the number of minutes required to fill the whole tank:
(5/9)(x) = (9/9)(2), or (after simplifying) 5x = 18, or x = 18/5 (3 3/5 minutes)
The whole tank will be filled in 3 3/5 minutes.
Answer:
The length of the altitude drawn to the base of the triangle is 8.49
Step-by-step explanation:
In this question, we are asked to calculate the length of the altitude to the base of an isosceles triangle given the length of one of the legs and the base angle. To answer this sufficiently, we consider the diagram of the triangle in the attached file.
From the triangle , we can see that we want to calculate the length h.
Let’s look at a cut-out triangle from the big triangle. This is the triangle AOC
WE can calculate the length of h here, using trigonometric identity. What we have is the hypotenuse and the opposite, this means that the trigonometric identity to use is the sine
Sine 45 = h/12
h = 12 * sine 45
Sine 45 = 0.7071
h = 12 * 0.7071
h = 8.49
I can help you if you want
Answer:
0.94, 1.03, 1.09, 1.1
Step-by-step explanation:
1.1
1.03
0.94
1.09
Those are the numbers in decimal form in sequence.
So it would be 0.94, 1.03, 1.09, then 1.1
I can't help on the graphing part, but thats the best you can pretty much get. Hope it helps :)
Answer:
below
Step-by-step explanation:
longest side = x+ x/2 + 11-×= 54
×/2 = 54-11
×=21.5 (longest side)
longest side = 21.5 ft
second side = 21.5 / 2 = 10.75 ft
third side = 21.5 - 11 = 10.5 ft