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3 years ago

5

The dimensions of an office conference room are 15 feet by 27 feet. if the conference room blueprint dimensions are 5 centimeter

s by 9 centimeters, what is the scale of the blueprint?

2 answers:

Tasya [4]3 years ago

8 0

The scale of the blueprint is 1cm= 3ft

marysya [2.9K]3 years ago

6 0

Answer:

1cm=4feet

on study island

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Please help me and show work

DaniilM [7]

Answer:

The answer is B Infinetly many solutions

Step-by-step explanation:

if you substitute x with 2 for example

2(2)-4=2(x-2)

you get 0 on both sides

also if you substitute x with 5 you get the answer of 6 on both sides therefore the answer is B

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2 years ago

PLEASE ASAP!!! Find the area of the figure to the nearest square unit.

Nutka1998 [239]

Area of rectangle: 7 x 10 = 70 in2

Area of semicircle: (r^2*π)/2 = 3.5^2 * π /2 = 6.125*<span>π
</span>
=> Total area = 70 + 6.125*<span>π = 70 + approx 19.24 = approx. 89.24 in2</span>

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The closest number here is 89 in2, so the answer is 89 in2.
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3 years ago

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The are of a rectangle is 3/5 square miles the length of the rectangle is 7/8.What is the width of the rectangle ?

GREYUIT [131]

The width of the rectangle is 24/35 mile. Hope it help!

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3 years ago

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Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around

ale4655 [162]

Answer:

Part 1: $\frac{2\pi}{3}$ radians

Part 2: The minute hand travels $\frac{8\pi}{3}$ inches.

Part 3: The minute hand travels $\frac{3\pi}{4}$ radians.

Part 4: The coordinate point is $(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})$

Step-by-step explanation:

<u>Part 1:</u>

There are 60 minutes in an hour. 1 hour is 1 revolution (1 circle), which is 360°.

So each minute represents $\frac{360}{60}=6$ degrees

From 3:35 to 3:55 is 20 minutes. Hence, 20 minutes is $6*20=120$ degrees.

<u><em>To convert from degrees to radians, we multiply the degrees by $\frac{\pi}{180}$ </em></u>

120° is equal to $120*\frac{\pi}{180}=\frac{2\pi}{3}$ radians

<u>Part 2:</u>

We want to find the "arc length" of this.

Formula for arc length is $s=r\theta$

Where,

s is the arc length
r is the radius (here the minute hand was given as 4 inches)
$\theta$ is the angle in radians (we found it to be $\frac{2\pi}{3}$ )

So, $s=r\theta\\s=(4)(\frac{2\pi }{3})=\frac{8\pi}{3}$

The minute hand travels $\frac{8\pi}{3}$ inches.

<u>Part 3:</u>

Here we use the arc length formula where we want to find $\theta$ given that $s=3\pi$ and radius is 4 inches. So we have:

$s=r\theta\\3\pi=(4)(\theta)\\\theta=\frac{3\pi}{4}$

The minute hand travels $\frac{3\pi}{4}$ radians.

<u>Part 4:</u>

The coordinate point associated with a specif radian is given by the formula:

$(x,y)=(cos(\theta)sin(\theta))\\(x,y)=(cos(\frac{3\pi}{4})sin(\frac{3\pi}{4}))\\(x,y)=(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})$

Thus the coordinate point is $(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})$

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3 years ago

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Where is the blue dot on the number line

notka56 [123]

-5

going backwards-8, -7, -6, to -5

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2 years ago

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