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1 answer:
Answer:
The value of x is 1
Step-by-step explanation:
Let us solve the question
∵ Δ PQR ≈ Δ FGH
→ From similarity, then their corresponding sides have an equal ratio
∴ =
=
∵ PQ = 3, QR = x + 3, PR = 2
∵ FG = 6, GH = 6x + 2, FH = 4
→ Substitute them in the ratios above
∴ =
=
→ By using cross multiplication between the first two ratios
∵ 3 × (6x + 2) = 6 × (x + 3)
∴ 3(6x + 2) = 6(x + 3)
∴ 3(6x) + 3(2) = 6(x) + 6(3)
∴ 18x + 6 = 6x + 18
→ Subtract 6x from both sides
∵ 18x - 6x + 6 = 6x - 6x + 18
∴ 12x + 6 = 18
→ Subtract 6 from both sides
∵ 12x + 6 - 6 = 18 - 6
∴ 12x = 12
→ Divide both sides by 12
∴ x = 1
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See picture for the set up. You finish. Do the math.
Answer:
The volume of hemisphere is <u>19.4 cubic meter</u>.
Step-by-step explanation:
Given:
A hemisphere is with a radius of 2.1 m.
Now, to find the hemisphere volume with radius 2.1 m.
So, we put formula to get the volume of hemisphere:
<u><em>Hence, the rounded to the nearest tenth of a cubic meter is 19.4 cubic meter.</em></u>
Therefore, the volume of hemisphere is 19.4 cubic meter.