These are not similar. For them to be similar, they need to exist in proportion to each other for every single side. The ratio of the 12:9 sides is 4:3 when reduced. The ratio of the other 2 sides is 5:3. They all have to have the same ratio for them to be similar.
The Pythagorean theorem can be used for this.
.. (tip distance)² = (shadow length)² + (tree height)²
.. tree height = √((tip distance)² -(shadow length)²)
.. tree height = √((60 ft)² -(40 ft)²) = √(2000 ft²)
.. tree height ≈ 44.72 ft
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Answer:
- area: 114 square units
- perimeter: 44 units
Step-by-step explanation:
The figure is a trapezoid with bases 12 and 7, and a height of 12. The area formula is ...
A = (1/2)(b1 +b2)h
A = (1/2)(12 +7)(12) = 114 . . . square units area
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The length of side AB can be found using the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((6 -(-6))^2 +(1 -6)^2) = √(144 +25) = 13
The sum of the side lengths is then ...
13 +7 +12 +12 = 44 . . . units perimeter
Since 200 is a constant, of x, move 200 out of the integral. 200x+c. Constant is a fixed value that does not change.
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Answer:
w = 3
l = 10
Step-by-step explanation:
l = 4w-2
P = 26cm
P = (l + w) × 2
26 = (4w-2+w) ×2
26 = (4w + w - 2) × 2
26 = ( 5w - 2 ) × 2
26 ÷ 2 = 5w -2
13 = 5w - 2
13 + 2 = 5w
15 = 5w
w = 3
l = 4w - 2
l = (4 × 3) -2
l = 12 - 2
l = 10
