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3 years ago

Find the values of x and y. Write your answer in simplest form.

Mathematics

2 answers:

Bogdan [553]3 years ago

7 0

X is 12 and y is 15 because of 3,4,5 triangles

tekilochka [14]3 years ago

3 0

X is 15.6
y is equal to 18
Use SOH CAH TOA to solve.

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There are 4 horses at the barn that weigh 8 tons in total. One of the horses runs away (subtract). How many pounds do the 3 hors

Lana71 [14]

3 horses would weigh 6 tons but if you need it in pounds it would be 12000 lbs

8 0

3 years ago

The rectangle below has an area of 14x^4+6x^214x 4 +6x 2 square meters. The width of the rectangle (in meters) is equal to the g

valina [46]

Answer:

Width = 2x² , Length = 7x² + 3

Step-by-step explanation:

The area of the rectangle = 14x⁴ + 6x²

The width of the rectangle (in meters) is equal to the greatest common monomial factor of 14x⁴ and 6x²

Factors of 14: 1 * 2 * 7

Factors of 6: 1 * 2 * *3

∴ The greatest common monomial factor of 14 and 6 = 2

Factors of x⁴: x , x² , x³ , x⁴

Factors of x²: x , x²

∴ The greatest common factor of x⁴ and x² = x²

∴ Width = 2x²

∵ Area = length times the width

∴ Length = Area/Width

Length = $\frac{14x^{4}+6x^2 }{2x^2} =\frac{2x^2*(7x^2+3)}{2x^2} =7x^2+3$

3 0

3 years ago

(I don't udnerstand, please help w/ explination as well)

12345 [234]

Answer:

A) 15 hours

B) 108 hours

C) 2073.45 miles

Step-by-step explanation:

The earth rotates fully 1 time in 24 hours. Fully rotate means that it goes through 360 degrees in 24 hours.

For this, we can set up unit ratio to solve.

"If earth rotates 360 degrees in 24 hours, 225 degrees take how much time (let it be x)?"

$\frac{360}{24}=\frac{225}{x}\\360x=24*225\\360x=5400\\x=\frac{5400}{360}\\x=15$

So , it takes 15 hours.

Here, the rotation is given in radian, NOT degrees. We know that 2π radians is 360 degrees, thus we can say:

"If earth rotates 2π radians in 24 hours, 9π radians take how much time (let it be y)?"

$\frac{2\pi}{24}=\frac{9\pi}{y}\\2\pi y=9\pi * 24\\2\pi y = 216\pi\\y=\frac{216\pi}{2\pi}\\y=108$

So, it take 108 hours.

The point on the equator is on the "outside" of the earth. So we need to figure out the circumference of the earth, given diameter is approximately 7920.

Circumference formula is C = 2πr, where C is the circumference, r is the radius (half of diameter, which is 7920/2 = 3960)

Hence

C = 2πr = 2π(3960) = 7920π

Hence, is 24 hours, a point travels 7920π miles. 2 hours is 1/12th of 24 hours, so in 2 hours the point will travel 1/12th the distance is travels in 24 hours. So:

$\frac{7920\pi}{12}=2073.45$