Answer:
Hope it helps you............
To find the remaining area of the paperboard, calculate the area of the rectangle, subtract the area of the semicircle. The area of the rectangle is 336 square inches, and the area of the semicircle is 32π square inches. The remaining area is approximately 236.05 square inches.
To answer this question, we first need to calculate the area of the entire paperboard, and then calculate the area of the semi-circle that was cut out. We then subtract the area of the semi-circle from the area of the paperboard to get the remaining area.
The area of a rectangle is calculated by multiplying its length by its width. For the paperboard, we find the area by multiplying 21 inches (length) by 16 inches (width), which gives us 336 square inches.
Next, we have to calculate the area of the semi-circle that was cut out. Assuming the cut was made along the width of the paperboard, the diameter of the semi-circle would be 16 inches. The radius, therefore, is 8 inches. The area of a circle is given by the formula πr², where r is the radius. For a semi-circle, we simply take half of this. This gives us an area of half of π(8)² = 32π square inches.
So, to find the remaining area of the paperboard, we subtract the area of the semi-circle from the area of the rectangle: 336 square inches - 32π square inches = approximately 236.05 square inches.
#SPJ2
A. 300 in²
B. 360 in²
C. 204 in²
D. 420 in²
Answer:
B. 360 in²
Step-by-step explanation:
Rectangle 1
length = 12 in
breadth = 12 in
Surface area = length × breadth
⇒Surface area = 12 × 12
⇒Surface area = 144 inch²
Rectangle 3 (behind)
length = 12 in
breadth = 13 in
Surface area = length × breadth
⇒Surface area = 12 × 13
⇒Surface area = 156 inch²
Rectangle 2
length = 12 in
breadth = 5 in
Surface area = length × breadth
⇒Surface area = 12 × 5
⇒Surface area = 60 inch²
Adding the 3 areas we get
144+156+60 = 360 in²
∴ 360 in² of paint is needed to cover all the rectangular faces of the prism.
To solve this problem, one must find the surface area of the rectangles. This is the total area of each rectangle added together. The formula for the area of the rectangle is w*l=A
Rectangle one: 13*12 = 156 in^2
Rectangle two: 5*12 = 60 in^2
Rectangle three: 12*12 = 144 in^2
156 + 60 + 144 = 360 in^2
This means total to paint the rectangle sides of the prism, we need 360 in^2 of paint.
A. Inductive reasoning
B. Deductive reasoning
Answer:
B. Deductive reasoning
Step-by-step explanation:
Answer:
the mode
Step-by-step explanation:
The mode of a set of data values is the value that appears most often. if it is the favorite, it will have the most votes so it will be what appears most often
B. Multiply the angle measure by 2.
C. Divide the angle measure by 2.
It is A. nothing, They are Equal
YW, have a nice day.
Answer:
a
Step-by-step explanation: