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3 years ago

Find product of

Mathematics

1 answer:

harkovskaia [24]3 years ago

8 0

Answer:

8x⁶y⁵ - 12x⁴y⁷

Step-by-step explanation:

→ 4xy² × 2x² - 3y² × x³y³

→ 4x⁴y⁵ × 2x² - 3y²

→ 8x⁶y⁵ - 12x⁴y⁷

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Find the area A of the sector of a circle of radius 90 in formed by central angle 1/6 radian.

miv72 [106K]

Answer:

2121 $in^{2}$ Rounded to the nearest inch.

Step-by-step explanation:

A = $\pi r^{2}$ Is the formula for a circle, but we only have a portion of a circle so we will have to adjust the formula for a part of the circle.

A = $\frac{\frac{\pi }{6} }{2\pi }$ $\pi r^{2}$ The $\frac{\pi }{6}$ is the part of the circle and the whole circle is 2 $\pi$

$\frac{\frac{\pi }{6} }{2\pi }$ is the same as $\frac{\pi }{6}$ ÷ $\frac{2\pi }{1}$ Which is the same as $\frac{\pi }{6}$ x $\frac{1}{2\pi }$ Which is the same a $\frac{1}{12}$

A = $\frac{1}{12}$ $\pi$ $90^{2}$

A = $\frac{1}{12}$ (3.14)(90)(90) = 2119.5. When you use the $\pi$ on your calculator you get a slightly different number. This is due to rounding.

A = 2120.575041

5 0

1 year ago

a triangle has side lengths of 13, 15, and 17. determine whether the triangle is right, acute, or obtuse.

Len [333]

Square of longest side = 17^2 = 289

15^2 = 225
13^2 = 169

total 394 289 is less than this so its acute

3 0

3 years ago

Find the radius or diameter of each circle with the given dimensions.<br><br> d=30 m

Alex_Xolod [135]

Answer:

r=94.2

Step-by-step explanation:

C=pi`d

C=3.14 multiplied by 30

C equals about 94.2

6 0

3 years ago

What is the solution in both interval and graph form of "x>2 or x>-1"?

tangare [24]

Answer:

Step-by-step explanation:

2>-1

so solution is x>2

6 0

3 years ago

Country A, Country B, and Country C won a total of 130 medals. Country B won 10 more medals than Country C. Country A won 38 m

snow_lady [41]

Answer:

Country A = 84

Country B = 28

Country C = 18

Step-by-step explanation:

Country A, Country B, and Country C won a total of 130 medals;

A + B + C = 130 ......1

Country B won 10 more medals than Country C;

B = C + 10 .......2

Country A won 38 more medals than the total amount won by the other two;

A = B + C + 38 ........3

Substituting equation 3 to 1;

(B+C+38) + B+C = 130

2B + 2C + 38 = 130 .......4

Substituting equation 2 into 4;

2(C+10) + 2C + 38 = 130

4C + 58 = 130

4C = 130-58 = 72

C = 72/4 = 18

B = C + 10 = 18 + 10 = 28

A = B + C + 38 = 18 + 28 + 38 = 84

Country A = 84

Country B = 28

Country C = 18

8 0

3 years ago