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2 years ago

The table shows how an elevator 500 feet above the ground is descending at a steady rate.

2 answers:

8 0

<span>(Attached Image: https://media.education2020.com/evresources/3109/3109-03/3109-03-06/3109-03-06-assessment/3109-03-06...) The correct answer is: h(t) = -5t + 500; from the table it is visible that the time difference is 5 seconds; the sign before 500 must be be "+", for we're talking about 500 feet above the ground. </span>

Snezhnost [94]2 years ago

6 0

We are given that the elevator is descending, so the coefficient of t must be negative. The elevator's initial position is 500 feet above the ground, so this is a positive value of +500. Therefore the only choice that fits these is h(t) = -5t + 500.

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2 years ago

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Answer:

0.536 is the required probability.

Step-by-step explanation:

We have been given the word the word "GEOMETRY"

we have to find the probability that two consonants and one vowel are chosen:

Number of consonants are: 5

Number of vowels are: 3

Hence, The required probability is: $\frac{^5C_2\cdot ^3C_1}{^8C_3}$

Using: $^nC_r=\frac{n!}{(r!)(n-r)!}$

$\frac{\frac{5!}{3!\cdot 2!}\cdot\frac{3!}{1!\cdot 2!}}{\frac{8!}{3!\cdot 5!}}$

Simplifying the above expression:

$\frac{\frac{5\cdot 4\cdot 3!}{3!\cdot 2}\cdot {\frac{3\cdot 2!}{2!}}}{\frac{8\cdot 7\cdot 6\cdot 5!}{5!\cdot 3\cdot 2}}$

Further simplification after cancelling out the common terms we get:

$\Rightarrow \frac{30}{56}=\frac{15}{28}=0.5357=0.536$

Hence, Option 1 is correct.

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2 years ago

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Answer:

Step-by-step explanation:

Being similar means that the shapes will have the same shape and dilation factor between sides, but if they are not congruent then the size will not be the same.

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Answer: <u>Last option</u>

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Step-by-step explanation:

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