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Dimas [21]
3 years ago
15

you have $120 to donate equally to several charities. Does this situaton represent direct or inverse variation? Explain.

Mathematics
1 answer:
SOVA2 [1]3 years ago
8 0
This situation represents inverse variation.

The difference between direct and inverse variation is in direct variation, as one variable goes up the other does too, while in inverse, as one variable goes up the other falls.

In this case, as you donate to more charities, the amount you donate to each charity falls, because you donate an equal amount. This means it's inverse variation.

Hope this helps!
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Answer:

{8, 24, 72, 216, 648}

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is always the same, that is, each term is the previous term multiplied by the common ratio.

In this question:

First element is 8, common ratio of 3. So

Second term: 8*3 = 24

Third term: 24*3 = 72

Fourth term: 72*3 = 216

Fifth term: 216*3 = 648

So the answer is {8, 24, 72, 216, 648}

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The angle of depression from the top of a flag pole to a point on the ground is 30°. If the point on the ground is 75 feet from
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Answer:

Height of flag pole to the nearest foot is 43 feet

Step-by-step explanation:

In the diagram we have flag pole AB and C is the point on the ground.

It is given that angle of depression is 30°

and the distance of the point C from the base B is 75 feet

so we have

BC= 75 feet  

∠C = 30°

AB= h feet

now in right ΔABC

tan C = \frac{opposite \ side }{base} \\tan C=\frac{AB}{BC}

now we plug AB= h , ∠C= 30° and BC =75

tan 30= \frac{h}{75}

75 tan30 = h            ( multiply both sides by 75)

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Height of flag pole to the nearest foot is

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