Answer:
1/2
Step-by-step explanation:
First die rolled 5
Second die can roll 1, 2, 3, 4, 5, 6
Only if the second die rolls 4, 5, 6 will the sum be greater than 8.
p(sum > 8) = 3/6 = 1/2
The areas of the square pyramid are the amount of space on it
- The lateral surface area is 307.2 square cm
- The total surface area is 451.2 square cm
<h3>How to determine the lateral surface area?</h3>
The given parameters are:
Base (b) = 12 cm
Slant height (l) = 12.8 cm
The lateral surface area is calculated using:
L = 2bl
So, we have:
L = 2 * 12 * 12.8
Evaluate the product
L = 307.2
<h3>How to determine the total surface area?</h3>
This is calculated using:
T = L + b^2
So, we have:
T = 307.2 + 12^2
Evaluate
T = 451.2
Hence, the total surface area is 451.2 square cm
Read more about areas at:
brainly.com/question/24487155
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Find Radius :
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Radius of the semicircle = 10 ÷ 2 = 5cm
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Find Area of the semi circle :
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Area of the semi circle = 1/2 πr²
Area of the semi circle = 1/2 x π x (5)²
Area of the semi circle = 12.5π cm²
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Find Radius :
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Radius of the inner circle = 5 ÷ 2 = 2.5 cm
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Find area of inner circle :
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Area of the inner circle = πr²
Area of the inner circle = π x (2.5)²
Area of the inner circle = 6.25π
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Area of the shaded region :
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Area of the shaded region = 12.5π - 6.25π
Area of the shaded region = 6.25π
Area of the shaded region = 19.63 cm²
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Answer: Area of the shaded region = 19.63 cm²
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Answer:
x = 25
Angle B = 65 degrees
Angle C = 50 degrees
Step-by-step explanation:
All triangles will add up to 180 degrees.
65 + 3x - 10 + 2x = 180
Combine like terms
55 + 5x = 180
Subtract both sides by 55
5x = 125
Divide both sides by 5
x = 25
Plug in the value for x in angle B:
3(25) - 10
75 - 10
65
Do the same for angle C:
2(25)
50
Check your work:
65 + 65 + 50 = 180
180 = 180
Correct
Answer:
1/3
Step-by-step explanation:
