Answer:
78.151 (approximately)
Step-by-step explanation:
To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r²
=140/360×π×8²
=7/18×3.41×64
=7/18×157/50×64
=7/9×157/50×32
=7/9×157/25×16
=17584/225
=78.151 (approximately)
Answer:
25 Points
Step-by-step explanation:
That the only number
To solve such an equation ask yourself. What number do I need to multiply to 6 to get to 0.95.
So in terms of an algebraic statement it would be 6 • unknown number a = 0.95
6a = 0.95.
To solve for the unknown number, perform the opposite operation as in the above equation. If 6 multiplied to a is 0.95, the opposite operation would be 0.95 divided by 6 is equal to a.
Answer:
x=3y−1x=3y-1
x+2y=9x+2y=9
Replace all occurrences of xx with 3y−13y-1 in each equation.
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Replace all occurrences of xx in x+2y=9x+2y=9 with 3y−13y-1.
(3y−1)+2y=9(3y-1)+2y=9
x=3y−1x=3y-1
Add 3y3y and 2y2y.
5y−1=95y-1=9
x=3y−1x=3y-1
Solve for yy in the first equation.
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Move all terms not containing yy to the right side of the equation.
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Add 11 to both sides of the equation.
5y=9+15y=9+1
x=3y−1x=3y-1
Add 99 and 11.
5y=105y=10
x=3y−1x=3y-1
Divide each term by 55 and simplify.
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Divide each term in 5y=105y=10 by 55.
5y5=1055y5=105
x=3y−1x=3y-1
Cancel the common factor of 55.
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Cancel the common factor.
5y5=1055y5=105
x=3y−1x=3y-1
Divide yy by 11.
x=5,y=2
Step-by-step explanation:
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Answer:
![\frac{24}{25}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B25%7D)
Step-by-step explanation:
![\cos(\theta)=\frac{\textrm{adjacent}}{\textrm{hypotenuse}}](https://tex.z-dn.net/?f=%5Ccos%28%5Ctheta%29%3D%5Cfrac%7B%5Ctextrm%7Badjacent%7D%7D%7B%5Ctextrm%7Bhypotenuse%7D%7D)