A 20” Square is being copied at 25%. What are the dimensions of the New square after being copied?
1 answer:
Answer:
5"
Step-by-step explanation:
You are copying a square of side 20 inches into a smaller version of it that is exactly 25% of the original size.
Notice that 25% can be written in fraction form as:
This gives us a clue about how to reduce the original dimension: "multiply it by , which is the same as divide it by 4:
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Answer:
Length: 21 cm and Width: 6cm
Step-by-step explanation:
Let be the width and
length of the rectangle. We know:
-------- eq. 1
(Perimeter of the rectangle) ------- eq. 2
Substitute equation 1 in equation 2:
Using the value of y, we find x.
Answer:
a = √11 and b = 6
Step-by-step explanation:
Refer to attached picture for reference
for an right triangle with angle θ
we are given
cos θ = 5/6 = length of adjacent side / length of hypotenuse
hence
adjacent length = 5 units
hypotenuse length = 6 units
the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:
hypotenuse ² = adjacent ² + opposite² (rearrange)
opposite ² = hypotenuse ² - adjacent ²
opposite ² = 6² - 5²
opposite = √ (6²-5²) = √11
sin θ = opposite length / hypotenuse (substitute values above)
sin θ = √11 / 6
hence a = √11 and b = 6
