8.5/1.2=t/6.5 how to solve
1 answer:
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The answer is the first option: I, II and III.
The explanation is shown below:
1. By definition, there is a joint variation when a variable depends on two or more different variables. Therefore, you can express it as following:
Where and
are the variables and
is the constant of proportionality.
As you can see, is directly proportional to
and
.
2. Keeping the information above, you have:
I) (
varies jointly with
,
and
.
II) (If
is the constant of proportionality,
varies jointly with
and
).
III) (
varies jointly with
and
.
Answer:
Distance from the base of the cliff to the point on the ground = 7608 feet
Step-by-step explanation:
Given: Height of the cliff is 532 feet, angle of depression from the top of the cliff to a point on the ground is equal to 4 degrees.
To find: distance from the base of the cliff to the point on the ground
Solution:
In ΔABC,
(Alternate interior angles)
For any angle ,
side opposite to angle/side adjacent to angle
Put
Distance from the base of the cliff to the point on the ground = 7608 feet
Answer:
Y = 2/3x - 3
Step-by-step explanation:
Recall the general equation for a straight line is
y = mx + b
where m is the gradient and b is the y-intercept
given 2 points whose coordinates are (x1, y1) and (x2, y2), m can be found with the following formula:
m =
in this case, x1 = 3, y1 = -1, x2 = 6, y2=1
applying these values to the formula for m will give
m = (-1 -1) / (3-6) = 2/3
We can see immediately that only the first (top-most) answer has this value for m and we can guess that this is probably the answer.
But we can still check to confirm:
If we substitute this back into the general equation, we get:
y = (2/3)x + b
In order to find the value for b, we substitute any one of the 2 given points back into this equation. Lets choose (6,1)
1 = (2/3)(6) + b
1 = 4 + b
b = -3
Confirm Y = 2/3x - 3 is the answer.