Answer:
There is no image
Step-by-step explanation:
Answer:
0.76m²
Step-by-step explanation:
In the above question, we are given the following information.
Radius = 0.4m
Height = 0.45m
To solve this question, The umbrella is CONICAL in shape and it has no BASE, we would be finding the lateral surface area of a cone. Since we are given height and radius :
Lateral Surface Area of a cone =
πr√(h² + r²)
= π × 0.4√(0.45² + 0.4)
= 0.7566m²
≈ Approximately = 0.76m²
Therefore, the amount of fabric needed to manufacture this umbrella is 0.76m²
Answers: Angle A is 36 degrees, angle C is 54 degrees
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Work Shown:
The angles A and C are complementary, meaning they add to 90 degrees.
(Angle A) + (Angle C) = 90
(2x-4) + (2x+14) = 90
(2x+2x)+(-4+14) = 90
4x+10 = 90
4x+10-10 = 90-10 .... subtract 10 from both sides
4x = 80
4x/4 = 80/4 ..... divide both sides by 4
x = 20
If x = 20, then,
angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees
angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees
Note how A+C = 36+54 = 90 which helps confirm our answers.
Answer:
x = 6
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 25 when y = 100 , then
100 = 25k ( divide both sides by 25 )
4 = k
y = 4x ← equation of variation
When y = 24 , then
24 = 4x ( divide both sides by 4 )
6 = x
5 consecutive numbers that add up to 120 are:
22, 23, 24, 25, 26
As you can see the third term is 24.
The answer is 24
Hope it helps :)
