We can see from the diagram that the length of the rectangle is 2 lots of the radius of one quarter circle. The width is made up of one radius, therefore the width is half of the length.
This means that the width of the rectangle is 9cm, and the radius of each quarter circle is 9cm.
To find the shaded area, we find the area of the rectangle and subtract from the areas of each circle, which are equal:
A = lw - 1/2(pi x r^2)
A = 9 x 18 - 1/2(81pi)
A = 162 - 81/2 pi
A = 34.8cm (3sf)
Answer:
x^2+11x+10
or
(x+1)(x+10) since you can factor x^2+11x+10
Step-by-step explanation:
Let's do synthetic division.
We are dividing by x+2, so -2 will be on the outside. Like this:
-2 | 1 13 32 20
| -2 -22 -20
|___________________________
1 11 10 0
The remainder is 0, so (x+2) is indeed a factor of x^3+13x^2+32x+20.
The other factor we found by doing this is (x^2+11x+10).
You can find more factors by factoring x^2+11x+10.
Two numbers that multiply to be 10 and add to be 11 is 10 and 1 so the factored form of x^2+11x+10 is (x+10)(x+1).
Answer:
B and D.
Step-by-step explanation:
Explanation:
a scale drawing that has a scale of 1 centimeter to 2 feet, with a width of 6 centimeters and a length of 8 centimeters
a scale drawing that has a scale of 1 centimeter to 8 feet with a width of 1.5 centimeters and a length of 2 centimeters
Answer:
960
Step-by-step explanation:
6[8+8](3+7)
Parentheses first
6[16] (10)
Then multiply from left to right
96*10
960
Answer:
50% error
Step-by-step explanation:
9/18=0.5
