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2 years ago

Trevon is helping his sister study for her geometry test while staying at a hotel.

Mathematics

1 answer:

Serhud [2]2 years ago

5 0

Option (C) -: The hotel floors are parallel to each other, and the elevator moves in a path that is perpendicular to them both.

<h3>What is parallel and perpendicular ?</h3>

In geometry two lines are parallel to each other when they have no intersecting point and the distance between them is constant.

Two lines are perpendicular if they have an intersecting point and they intersect each other at at 90°.

From the given figure we can observe the distance between the floor ceiling of 3rd and 6th floor is constant therefore they are parallel to each other.Now if we imagine the elevator going up and down an imaginary line (meeting line of two elevator doors) would intersect them at an angle of 90°.

∴The hotel floors are parallel to each other, and the elevator moves in a path that is perpendicular to them both.

Learn more about parallel and perpendicular here :

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Evaluate. -12 A. -12 B. 0 C. 12 D. 24

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The answer goes up by 12 each time

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3 years ago

Consider the integral 8 (x2+1) dx 0 (a) Estimate the area under the curve using a left-hand sum with n = 4. 250 Is this sum an o

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Answer:

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(b) 248 square units

Step-by-step explanation:

See the attachment for a diagram of the areas being summed (in orange). This is the sum of the first 4 table values for f(x), each multiplied by 2 (the width of the rectangle). Quite clearly, the curve is above the rectangle for the entire interval, so the rectangle area underestimates the area under the curve.

left sum = 2(1 + 5 + 17 + 37) = 2(60) = 120 . . . . square units

<u>(b) right sum</u>

The right sum is the sum of the last 4 table values for f(x), each multiplied by 2 (the width of the rectangle). This sum is ...

right sum = 2(5 +17 + 37 +65) = 2(124) = 248 . . . . square units

3 0

3 years ago

Complete the following proof.

timofeeve [1]

Statement:

1. RS tangent to Circle A and Circle B at points R and S

2. AR ⊥ RS, BS ⊥ RS

3. AR ║ BS

Reason:

1. Given

2. Radius ⊥ to tangent

3. 2 lines ⊥ to same line are ║

100% Correct

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4 0

4 years ago

Read 2 more answers

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is th

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Answer:

a) 0.0025

b) 0.9975

c) 23.03 minutes

d) 23.03 minutes

Step-by-step explanation:

Let X be the random variable that measures the time waited for a taxi.

If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is

$\large P(X>t) = e^{-t/10}$

1 hour = 60 minutes, so the probability that you wait longer than one hour is

$\large P(X>60)=e^{-6}=0.0025$

Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes

$\large P(X\leq 10)=1-e^{-6}=0.9975$

We want x so that

P(X>x)=0.1

$\large e^{-x/10}=0.1\rightarrow -x/10=ln(0.1)\rightarrow x=-10ln(0.1)=23.03\;minutes$

We want P(X<x)=0.9

$\large 1-e^{-x/10}=0.9\rightarrow e^{-x/10}=0.1\rightarrow x=-10ln(0.1)=23.03\;minutes$

4 0

3 years ago

Find the measure of <C in the following figure:

Yuki888 [10]

Answer:

angle C =160 degree

Step-by-step explanation:

since the given triangle is an isosceles triangle their base angles must be equal. So,

x - 10 =x/2

2(x - 10) =x

2x - 20 = x

2x - x = 20

x = 20

for angle B

x - 10

20 - 10

10 degree

for angle A

x/2

20/2

For angle c

angle A + angle B + angle C =180 degree (sum of interior angle of a triangle)

10 + 10 + angle C =180

20 + angle C =180

angle C =180 - 20

angle C =160 degree

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3 years ago