Answer:
C. $14.95
Step-by-step explanation:
Do $13 times 15 divided by 100 and add that to $13.
Answer:
Area of shaded part ABCEF = 66 sq.cm
Step-by-step explanation:
AB = 8cm
CD = 8cm
Let DE = x cm
CE = 3x cm
CD = CE + DE = 8cm
x + 3x = 8
4x = 8
x = 8/4 = 2 cm
DE = 2cm
CE = 3 * 2 = 6 cm
Area of triangle ADE = 1/2 * base * height
= 1/2 * DE * AD
= 1/2 * 2 * 11 = 11 sq. cm
Area of triangle AEF = Area of triangle ADE = 11 sq. cm
Area of Rectangle ABCD = l * b = 8 * 11 = 88 sq.cm
Area of shaded part ABCEF = Area of Rectangle ABCD - (Area of triangle AEF + Area of triangle ADE)
= 88 - ( 11 + 11 ) = 88 -22 = 66 sq.cm
Answer:

Step-by-step explanation:
Given that the figure is made up of portion of a square and a semicircle, we have;
BC ≅ AB = 6 cm
The area of semicircle BC with radius BC/2 = 3 is 1/2×π×r² = 1/2×π×3² = 4.5·π cm²
Triangle ABC = 1/2 × Area of square from which ABC is cut
The area of triangle ABC = 1/2×Base ×Height = 1/2×AB×BC = 1/2×6×6 = 18 cm²
The area of the figure = The area of semicircle BC + The area of triangle ABC
The area of the figure = 4.5·π cm² + 18 cm² =
.
Answer:
The chocolate bar contains 29.2 grams of cocoa.
Step-by-step explanation:
Given that Lucy’s chocolate bar is 54% cocoa and the weight of the chocolate bar is 54 grams.
Hence, the amount of cocoa in the chocolate bar is given by
54% of 54 grams
54% percentage means 54/100 = 0.54
Hence, the amount of cocoa in the chocolate bar is

When rounded to the nearest tenth, 29.16 should be equal to 29.2
Hence, the chocolate bar contains 29.2 grams of cocoa.
Answer:
-2/3 ; - 3/5 ; - 1/2 ; 5/8
Step-by-step explanation:
Given that:
We could convert the numbers to decimal to obtain a better view of the values :
-2/3 = - 0.66666
5/8 = 0.625
-3/5 = - 0.6
-1 /2 = - 0.5
Negative values are always arranged first on left of a number line.
-0.66666 < - 0.6 < - 0.5 <0.625
Hence,
-2/3 ; - 3/5 ; - 1/2 ; 5/8