Answer:
21.46 cm²
Step-by-step explanation:
because the question want only for the SHADED REGION but NOT AREA OF THE SQUARE
(if we just multiply 10x10. you will get the area of a square which is hundered)
To find the shaded region:
1. area of a circle is πr² (we have 4 circle there)
2. Find the area of all circle
# how do we know the radius?
- half of 10 is 5
- 5 is the diameter of each circle
- the radius is half of 5 which is 2.5
- π(2.5)² = 25/4π (area of 1 circle)
3. since we have 4 circle then, 25/4π x 4 = 25π
4. the area of the square is 100cm²
5. we want the shaded region so we have to minus the area of the circle
6. 100 - 25π (use your calculator to find the answer)
answer should be 21.46 cm²
(hope this helps)
This is how you do it.
y = a(x - 3)(x - 8)
<span>-2 = a(-1 - 3)(-1 - 8) </span>
<span>-2 = 36a </span>
<span>- 1 / 18 = a </span>
<span>y = ( - 1 / 18)(x^2 - 11x + 24) </span>
<span>y = (- 1 / 18)x^2 + (11 / 18)x - (3 / 2)
</span>
If this doesn't explain it enough, please, ask questions.
Answer:
x=9
Step-by-step explanation:
y=3x+18=5x
thus 3x+18=5x
subtract 3x from both sides 18=2x
simplify for x x=9
Answer:
- width: 18 in
- length: 27 in
Step-by-step explanation:
The relations between length (L) and width (W) are ...
W +9 = L
LW = 486
Substituting gives ...
(W+9)W = 486
W^2 +9W -486 = 0 . . . put in standard form
(W +27)(W -18) = 0 . . . . factor
W = 18 . . . . the positive solution
The width of the rectangle is 18 inches; the length is 27 inches.
_____
<em>Comment on factoring</em>
There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.
486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.
188 minutes (rounded) or 187 minutes and 5 seconds
