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UkoKoshka [18]
3 years ago
9

Using the data shown on the graph, which statements are correct

Mathematics
1 answer:
Tomtit [17]3 years ago
8 0

Answer:

B, C, and E

Step-by-step explanation:

Let's consider each option given the graph shown above:

A. The ratio of x/y can be found using any point on the line, say, (5, 6). Thus, ratio of x/y = 5/6, not 6/5.

Option A is not correct.

B. If you check for y/x for any given point along the line, we would have the same result. So the ratio of y/x is consistent. Option B is correct.

C. The graph has a line that runs through the point of origin, so therefore, it represents a proportional relationship.

Option C is correct

D. If option C is correct, then option D is not correct.

E. If option C is correct, then option E is correct.

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Which statement is true?
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Answer:

D

Step-by-step explanation:

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3 years ago
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Explain the error in the work shown. Find the correct answer.
svetlana [45]

The bases were not the same when the exponents were set equal to each other.

16 should have been written as 4 squared.

The exponent on the right should be 4a instead of 8a.

The correct solution is a=-3/4.

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Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall. He
kotegsom [21]

<u><em>Answer:</em></u>

He would need to climb 480.97 m

<u><em>Explanation:</em></u>

The ground, the plane to climb and the altitude (100 m) all form a right-angled triangle

Therefore, we can apply the special trig functions.

<u>These functions are as follows:</u>

sin(θ) = \frac{opposite}{hypotenuse}

cos(θ) = \frac{adjacent}{hypotenuse}

tan(θ) = \frac{opposite}{adjacent}

<u>From the diagram, we have:</u>

θ = 12°

The distance that he needs to climb is the hypotenuse

The altitude = 100 m is the opposite

<u>Therefore, we can use the sin function as follows:</u>

sin(12°) = \frac{100}{hypotenuse}

hypotenuse = \frac{100}{sin(12)}

hypotenuse = 480.97 meters to the nearest hundredth

Therefore, he would need to climb 480.97 meters

Hope this helps :)

5 0
3 years ago
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2. Sally has 8x dollars. Amanda has $12 more than Sally. Lucy has 3x dollars less than Amanda.
adell [148]

Answer:

Sally=8x

a.Amanda=8x+12

b.Lucy=8x+12-3x

=5x+12

c.if x=6

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=30+12

=42

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$700 invested at 8% compounded quarterly after a period of 4 years
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Answer:

$960.95

Step-by-step explanation:

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