1. Anne wants to join five pieces of paper together. She plans to use 3 rectangular pieces of the same size and 2 square pieces of the same size. The length of each rectangular piece is 3 1/2 feet. The width of each rectangular piece, w, is the same as the length of each square piece. The expression below can be used to find the total surface area of the five pieces of paper. Anne decides that the width, w, of the rectangular pieces should be 2 feet. What is the total surface area, in square feet, of all five pieces of paper?
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Answer and explanation:
Surface area of a rectangle = length * width
Surface area of a square = a² where a is length of a side
To find total surface area of the the five pieces of paper, we add up all the areas of all the shapes
Given that length of rectangle =3.5
And width = 2
Area of rectangle =3.5*2=7
Area of 3 rectangles given they are all equal = 7*3=21
Since width of rectangle equal to width of square and all sides of square are equal
Area of square = 2 *2 =4
Area of the two squares =4*2=8
Total surface area of the five plane shapes = 21+8= 29
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The diameter of a cylinder is 6 feet 6 inches. The height of a cylinder is 12 feet 3 inches. What is the surface area? (feet squared)What is the volume? (feet cubed)
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Answer:
54.1%
Step-by-step explanation:
From the table, the total number of patients with type-B blood is given as 183. On the other hand, the number of males with type-B blood is given as 99. The percentage of patients with type-B blood who are males can be calculated as;
(the number of males with type-B blood/the total number of patients with type-B blood) * 100%;
( 99/183) * 100 = 54.1%
Therefore, the percentage of patients with type-B blood who are males is 54.1
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Answer:
Is that all you need help with or you need help with more?
Step-by-step explanation:
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Answers
cos²β=1-sin²β
cos²β=1-(4/7)²
cos²β=1-16/49=49/49-16/49=33/49
cosβ=√33/√49=√33/7
B. Start at the origin, move 3 spaces right, and 6 spaces up.
C. Start at the origin, move 6 spaces right, and 6 spaces up.
D. Start at the origin, move 6 spaces right, and 3 spaces up.
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Since it's positive we go to the right 6 times(negative will be to the left).
Now the 'y' value, 3.
Since it's positive we go 3 spaces up(negative will be down).
Therefore, our answer is D.
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Answer:
Change produced in cone is greater than change produced in cylinder.
Step-by-step explanation:
Given : A cylinder and a cone start with the same radius and height.
We have to find which change produces a greater increase in volume.
We know Volume of cylinder =
and Volume of cone =
Where r is radius and h is height.
Let r' and h' denotes new radius and new height
Consider Cylinder first ,
The radius of the cylinder stays the same, but the height of the cylinder is doubled.
that is r' = r and h' = 2h
Then Volume of new cylinder becomes,
Volume of cylinder =
that is
Now, Consider Cone, we have,
The radius of the cone is then tripled, and the height of the cone is cut in half.
r' = 3r and h' =
Thus, The volume of new cone becomes,
Volume of cone =
that is
Thus, Change produced in cone is greater than change produced in cylinder.
Original cone = (1/3)π(h)r^2
Changed cone = (1/3)π(h/2)(3r)^2
= (1/2)(1/3)π(h)9r^2
= (9/2) * Original cone
=4.5 * Original cone
Cylinder:
Original cylinder = π(h)r^2
Changed cylinder = π(2h)r^2
=2 * Original cylinder
Therefore the cone is the greatest relative increase in volume.