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2 years ago

What is the value of x?

Mathematics

1 answer:

pantera1 [17]2 years ago

8 0

Triangles= 180°

Add the 3 angles to equal 180°

17x + (10x - 5) + 50= 180
combine like terms

27x + 45= 180
subtract 45 from both sides

27x= 135
divide both sides by 27

x= 5

ANSWER: x= 5

Hope this helps! :)

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Henry knows that the circumference of a circle is 56.52 inches. What is the area of the circle? (Use 3.14 for and round to the

ahrayia [7]

The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.

Step-by-step explanation:

The given is,

Circumference of a circle is 56.52 inches.

$\pi =3.14$

Step:1

Formula for circumference of circle is,

$Circumference, C = 2\pi r$ ........................(1)

Where, r - Radius of circle

From the given,

C = 56.52 inches

Equation (1) becomes,

56.52 = 2 $\pi$ (r)

56.52 = (2) (3.14) (r)

56.52 = 6.28 (r)

$r = \frac{56.52}{6.28}$

r = 9 inches

Step:2

Formula for area of circle,

$Area,A = \pi r^{2}$ ............................(2)

Where, r - Radius of circle

From the given,

r = 9 inches

Equation (2) becomes,

$A = \pi (9)^{2}$

= (3.14) (81)

= 254.34

Area of circle, A = 254.34 square inches

Result:

The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.

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2 years ago

Clare spent a total of 25 minutes at the track. She spent 5 minutes stretching and walked 4 laps around the track. If she walked

andrezito [222]

Hello!

First of all, we can subtract the stretching time. This gives us 20. If we divide by the four laps we get 5 minutes per lap.

Now, one lap is 400 meters (most tracks are), which is equal to 15,748.03 inches. This means it takes her five minutes to walk 15,748.03 inches. This is also equal to 300 seconds, so it takes her 300 minutes per 15,748.03 inches.

But if we round our big inches number to the nearest ten thousandth, we get 16,000, so in a simpler form her pace is 300/16,000. But we need to find in per second. Therefore we will divide by 300 to find how many inches she walks per second. This means she walks about 53.33 inches per second.

I hope this helps!

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