The equation which can determine v, the number of visits Ariana must make to earn a free movie ticket is given by :76=25+8.5v
v=6
What is the total number of points required for a free movie ticket?
The total number of points that Ariana needs to watch a free movie is 76 points, which can be earned by the sum of signing up points plus the number of visits(v) multiplied by the points per visit, 8.5 points
76=25+8.5v
We can make v the subject of the formula
76=25+8.5v
76-25=8.5v
51=8.5v
v=51/8.5
v=6
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Answer:
0.25 x 160 = 40. So 40 is 25% of 160
Step-by-step explanation:
It’s $138.89 including sales tax
I would solve this using tangents. Let h be height of flagpole.
Set up 2 right triangles, each with a base of 40.
The larger triangle has height of "h+70"
Smaller triangle has height of 70.
Now write the tangent ratios:

Note: A-B = 9
To solve for h we need to use the "Difference Angle" formula for Tangent

Plug in what we know:



Answer:
the angle of elevation of the sun is 
Step-by-step explanation:
Let's make a diagram of the tree, ground and inclination of the rays of the sun, so we understand what right angle triangle we have. Please see the attached image.
Notice that our unknown is the angle
, and that we know the size of the side opposite to it, and of the side adjacent to it. Therefore the most convenient trigonometric formula to use is the tangent of the angle because:
