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Answer:
4. height: 5√3 cm; area: 25√3 cm²
5. 30√2 ft ≈ 42.43 ft
Step-by-step explanation:
4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...
height = (√3)/2 × (10 cm) = 5√3 cm
The area is given by the formula ...
A = 1/2bh
A = 1/2(10 cm)(5√3 cm) = 25√3 cm²
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5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...
(30 ft)√2 ≈ 42.43 ft
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The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.
d = √(30² +30²) = √1800 ≈ 42.43 . . . feet
The formula for perimeter is length + length + width + width
You know that all the sides of a square are equal to each other. That means that all the values in the perimeter formula should be the same. Therefore you can divide 72 by 4 (perimeter divided by the number of sides)
72 / 4 = 18
^^^Each side is 18 in
The formula for are is...
A = length x width
so...
18 * 18 = 324
324 in^2
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
B
Step-by-step explanation:
The ratio of water to mix is 1:4.
Parenthesis according to the PEMDAS rule
So
7(x - 4) = 84
Would be
7x -28 = 84
Hope this helped :)
Answer:
2 + (-1) = 24
2-1 = 24
1=24????????????
Step-by-step explanation:
