let's find the area of the outer circle and the inside circle
the inside's circle area
A= π x 6²=36π
the outer's
A' = π x 4x²= 4πx²
A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.
Answer:
2nd - (w - 5)(w + 5)
4th - (-4v - 9)(-4v + 9)
Step-by-step explanation:
1. The first option shows an expression multiplied by its opposite(x -1), so therefore, it does not show the difference of squares
2. The second option does show the difference of squares because it is in the form (a + b)(a - b)
3. The third option is just a square because the same expression is multiplied by itself.
4. The fourth option is the difference of squares because it is in the form (a + b)(a - b). a equals -4v and b equals 9 in this case.
5. The fifth option is not the difference of squares. No term in common in both expressions
6. The sixth option is just a square because the same expression is multiplied by itself.
In all, there are two options that are the difference of squares, the 2nd and 4th.
Answer:
Total items = $39.90
Sales tax amount = $3.7905
Total cost = $43.691
The clerk's error is using 9.5 as sales tax amount instead of finding 9.5% of the total items
Step-by-step explanation:
Dress = $24.95
Skirt = $14.95
steps the clerk completed.
Step 1: 24.95 + 14.95 = 39.90
Step 2: 39.90 +9.5 = 49.40
Correct steps:
Total items = dress + skirt
= $24.95 + $14.95
= $39.90
Sales tax = 9.5%
Sales tax amount = 9.5% of total
= 9.5/100 × $39.90
= 0.095 × 39.90
= $3.7905
Total cost = Total + sales tax amount
= $39.90 + $3.7905
= $43.6905
To the nearest hundredth
= $43.691
Sales tax is the amount of money imposed by government on the sales of some items
Total cost is the cost of all items including sales tax
Answer:
-6 is the y coordinate
Step-by-step explanation:
Answer:
12 cm
Step-by-step explanation:
The square of the length of the tangent segment is equal to the product of near and far distances to the circle from the point of intersection of the secant and tangent:
(8 cm)^2 = (4 cm)(4 cm +x)
16 cm = 4 cm +x . . . . . . divide by 4 cm
12 cm = x . . . . . . . . . . . . subtract 4 cm
