As stated the area of the circle is 85π ft2. The area of the sector BAC is a portion of this full circle area. the sector is made of 2 radii and arc that has rotated by 36°.
the magnitude of the central angle in the circle is 360°
Area for 360° central angle - 85π ft2
then the area for 1° = 85π ft2/360°
the area of 36° sector = 85π ft2/360° x 36°
= 8.5π ft2
Answer:
$5.20
Step-by-step explanation:
Find the tax rate first:
$1.20
-------------- = 0.04
$30.00
The tax rate is 4%.
Then the tax on a $130 item is 0.04($130) = $5.20
Answer:
The answer would be 46x
Step-by-step explanation:
-2x+13=11
-7x+28=35
46x
Remark
Whatever the original price, he gets 70% in the first instance.
He gets 80% in the second instance.
He gets 90% in the third instance
His total income is 240 dollars.
Let the original price be x
Equation
70%x + 80%x +90%x = 240
70% = 0.7 ; 80% = 0.8 ;90% = 0.9
Solution
0.7x + 0.8x + 0.9x = 240 Take out x as a common factor and add the decimals.
x (0.7 + 0.8 + 0.9) = 240
2.4x = 240 Divide both sides by 2.4
x = 240/2.4
x = 100
So the watches should have brought in 3*100 = 300 dollars.
He only brought in 240 dollars.
He lost 300 - 240 = 60 dollars.
The answer is B.
The area of a parallelogram is the base times the height so:
A=bh, in this case:
A=hx
x=A/h, we are told that A=120mm^2 and h=10mm so
x=120mm^2/10mm
x=12mm
