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4 years ago

Find the perimeter of GHI Please help me

Mathematics

1 answer:

vichka [17]4 years ago

5 0

Answer:140

Step-by-step explanation: 7x+4=13x-8 SOLVE FOR X, x=2, SOLVE EACH SIDE, JH=18, HK=18, KI=IL, GL=GJ, JH=HK, SO LI IS 15 SINCE KI IS 15, 52-15=37, LG=37, GJ=37. 18+18+15+15+37+37=140

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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:

Part 1:

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.

To convert from degrees to radians, we multiply the degrees by $\frac{\pi}{180}$

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

Part 2:

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.

Part 3:

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.

Part 4:

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 $(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})$

3 0

4 years ago

Read 2 more answers

2. What is the distance between the points M(-8,11) and N(3,7)?

ivolga24 [154]

Answer:

I'm not sure I feel like it's A

Step-by-step explanation:

-8 is 11 units away from 3 but I do not know where the 7 came from for answer A.

If I were you I would not trust my answer

6 0

3 years ago

Write a proportion for each of the diagrams below and solve for the missing value.

Arada [10]

Answer:

x=7.5

Step-by-step explanation:

$\frac{8}{5} =\frac{12}{x}$

$8x=60$

$x=7.5$

8 0

3 years ago

Translate this sentence into an equation. The product of 9 and Vanessas age is 99

zimovet [89]

Answer:

9*11

Step-by-step explanation:

Product means multiplication so to find what Vanessas age is, do 99/9 which gives you 11 and then check it by multiplying 11 and 9 which will get you 99

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3 years ago

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The base of a pyramid has n sides write an expression for the number of faces of the pyramid

kumpel [21]

A pyramid always have a number of slant triangles equal to the number of the sides of the base.

This means that a pyramid always have the number of face which is one more than the number of sides of the base.

Therefore, given that a pyramid has n number of sides of the base, the expression for the number of faces of the pyramid is given by

number of faces = n + 1.

6 0

4 years ago