Does 2×7×3.14 find circumference
1 answer:
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Answer:
x = 20 cm
Step-by-step explanation:
The triangles given are similar triangles because they share the same angles. Because they are similar, their side lengths are in the same ratio, or proportion to one another. The left side of the larger triangle has a length of 121cm + 11cm = 132cm where the smaller triangle only has a length of 11 cm. We can put these lengths into a ratio:
Since the other side of the triangle would have to be in the same proportion, or ratio, we can set up the following proportion:
Use cross-multiplication: 5x + 20 = (10)(12) or 5x + 20 = 120
Subtract 20 from each side: 5x + 20 - 20 = 120 - 20 or 5x = 100
Divide and solve for 'x': 5x/5 = 100/5 or x = 20 cm
Answer:
sail a = 81ft²
sail b base = 12ft
Step-by-step explanation:
question 5:
the measurements for sail A are 18ft(height) and 9ft (base)
the formula to find the the area of a triangle is (b · h) 1/2
(9 · 18) 1/2 = (162) 1/2 = 81
so ahmad will need 81ft² of fabric for sail a
question 6:
we know that the formula to find the area of a triangle is (b · h) 1/2 = a, since we know the height and the area of the triangle we plug them into the equation to find the measurement of the base.
(b · 18) 1/2 = 108
= 108/ 1/2
(b · 18) = 216
18b = 216
18b/18 = 216/18
b= 12
check your work:
(12 · 18) 1/2 = 108
(216) 1/2 = 108
108 = 108 true!
the base measurement for sail b is 12ft
hope this helps and have a great day!!