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lesantik [10]
2 years ago
13

kate would like to find the height of her favorite rollercoaster at the amusement park. She noticed that she casts a 2 foot shad

ow while the rollercoaster casts a 60 foot shadow. If Kate is 5 feet tall, how tall is the rollercoaster?
Mathematics
1 answer:
alex41 [277]2 years ago
5 0

Set up a proportion with Katie’s height / Katie’s shadow = roller coasters height / its shadow. So it is 5 feet / 2 feet = x feet / 60 feet. To solve cross multiply so it becomes 2x = 300 and x = 150 feet

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Answer:

484848

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8 0
2 years ago
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If hexagon JGHFKI Is congruent to hexagon SRTQUV, which pair of angles must be congruent?
Dima020 [189]

Hey there!

If these hexagons are congruent, then each angle is congruent to the one that is in the same position as it is. In this case, I and V are congruent because they are both last. K and U are congruent because they are both second to last.

While looking over the answer options, you should be able to see that Angle J and Angle S is the only answer with angles that match up, because they are both the first angle in the set.

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3 0
2 years ago
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A university knows from historical data that 25% of students in an introductory statistics class withdraw before completing the
Vikki [24]

Answer:

13.4%

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, n = 16, r = 2, p = 0.25, and q = 0.75.

P = ₁₆C₂ (0.25)² (0.75)¹⁶⁻²

P = 120 (0.25)² (0.75)¹⁴

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There is a 13.4% probability that exactly 2 students will withdraw.

8 0
2 years ago
What is the solution to the system of equations graphed below?
murzikaleks [220]

Answer: C. (1, 4)

Step-by-step explanation:

The point where the two lines meet or intersect is the solution to the system of equations graphed. And in this case, the lines intersect at (1, 4).

7 0
1 year ago
Coach De Leon purchases sports equipment. Basketballs cost $20.00 each, and soccer balls cost $18.00 each. He had a budget of $1
zepelin [54]

Answer:

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Step-by-step explanation:

He can buy 5 basketballs and 2 soccer balls. This equation is correct because 18x2 is 36 and 20x5 is 100. So that will be a total of $100. This makes the equation 100<_150. You can infer that this equation is true.

8 0
1 year ago
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