The polynomial would be 2x+5.
We bring down the first number inside the box, 2, unchanged.
_______
-1| 2 7 5
_______
2
Now we multiply that 2 by the number outside, -1:
_______
-1| 2 7 5
<u> -2
</u> 2
Now we add the two numbers in the middle column:
________
-1| 2 7 5
<u> -2 </u>
2 5
Multiply the 5 we brought down by the -1:
________
-1| 2 7 5
<u> -2 -5
</u> 2 5
Add the numbers in the last column:
________
-1| 2 7 5
<u> -2 -5
</u> 2 5 0
The 3 numbers under the box represent the coefficients of x² and x, as well as the constant. When we finish, we no longer have an x², but start at the next level down, which would be x. 2 would be the coefficient of x and 5 would be the constant, with 0 remainder.
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Answer:
30.25π square inches
Step-by-step explanation:
You can use the formula for area in terms of circumference:
A = C²/(4π)
A = (11π)²/(4π) = (121/4)π = 30.25π . . . square inches
_____
You may be expected to find the radius first:
C = 2πr ⇒ r = C/(2π) = 11π/(2π) = 5.5 . . . inches
Then use the area formula:
A = πr² = π(5.5 in)² = 30.25π in²
19 round tables seating 8 at each table would Be 152 people total . If you place 2 forks at each setting you would multiply 152 times 2 for a total of 304 forks total
Answer:
135 cm²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = 
h(a + b)
where h is the height and a, b the parallel bases
Here h = 9, a = 13 and b = 17 , thus
A = × 9 × (13 + 17)
= 0.5 × 9 × 30
= 135 cm²
The perimeter of the shaded region is 8π cm and the area of the shaded region is 32(π - 2) cm² or 36.53 square cm.
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have shown a square in which a one-fourth circle is shown and making an ellipse.
The perimeter of the circle = 2πr = 2π(8) = 16π cm
The perimeter of the one-fourth is circle = (16π)/4 = 4π cm
The perimeter of 2 one-fourth circle = 2(4π) = 8π cm
The area of the one-fourth circle = (1/4)πr² = (1/4)π(8)² = 16π square cm
The area of the right-angle triangle = (1/2)(8)(8) = 32 square cm
The area of the shaded region = 2(16π - 32) = 36.53 square cm
or
= 32(π - 2)cm²
Thus, the perimeter of the shaded region is 8π cm and the area of the shaded region is 32(π - 2) cm² or 36.53 square cm.
Learn more about circle here:
brainly.com/question/11833983
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