Answer:
Yes
Step-by-step explanation:
From the origin means from the centre or middle but about a vertex is from a named point.
Answer:
Step-by-step explanation:
a). Total surface area of cylinder is defined by sum of curved surface area and surface area of the top and bottom.
Total surface area = 2πrh + 2πr²
Skateboarders use a half pipe structure which are not closed at the ends.
Therefore, curved surface of the half pipe = 
= πrh
b). If r = 2.5 m and h = 9 m,
Curved surface area of the half pipe = π(2.5)(9)
= 70.69 m²
≈ 71 m²
945 is your answer but what number blank?
Answer:
Step-by-step explanation:
This is a geometric sequence; we know that because of the words "common ratio." The general formula for a geometric sequence is
a(n) = a(1)*r^(n - 1), where r is the common ratio.
Here, a(1) = 1, r = 1/3, and so
a(1) = 1 (given)
a(2) = 1/3 (this is a(1) multiplied by 1/3)
a(3) = 1/9 (this is a(2) multiplied by 1/3)
a(4) = 1/27
a(5) = 1/81
Answer:
8. 504ft²
9. 4970yd² (rounded to 3 s.f.)
Formulas (For easy reference):
Area of rectangle = length × breadth
Area of circle = pi×r×r
Circumference of circle = pi×r×2
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Step-by-step explanation:
8. You know a box has 6 sides, and there are 3 types of surfaces that are different from each other, and you have to multiply each side by 2 cus there are the front and backside (You can draw the box with its dimensions to see the 3 types of surfaces and why I multiplied by 2):
(2×12×6) + (2×12×10) + (2×6×10) = 144 + 240 + 120
= 504ft²
9. The net of a cylinder contains two circles of radius 24yd and one long sheet to wrap around the circles with the length that is the circumference of the circle (so that it can wrap around the two circles) and a width which is the height of the cylinder (9yd).
2 Circles = 2×pi×24×24
= 1152pi
Long sheet = 9×24×2×pi
= 432pi
Now we can add all of them together:
432pi+1152pi = 1584pi
= 4970yd² (rounded to 3 s.f.)
