First, square both sides. This will cancel out the radical.
(a^2 = b + 6)
Then subtract 6 from both sides
b = a^2 - 6
We’re going to use the formula for area of a rectangle, which is length x width. We are also going to use the formula for area of a triangle which is 1/2 x base x height.
Let’s start with the rectangle under the triangle ends of the roof. They are 11mm wide, 10mm high, and there are two of them.
11 x 10 x 2 = 220
Then the other sides that are 16 x 10. There are 2 of them.
16 x 10 x 2 = 320
Then the rectangular pieces of roof, 9.7 x 16, and there are 2 of them.
9.7 x 16 x 2 = 310.4
Lastly, the triangle pieces of roof. (1/2)(base)(height), but there are 2 of them
1/2 x 11 x 8 x 2 = 88
Add up all the parts:
220 + 320 + 310.4 + 88 = 938.4 mm
The correct answer is Option A , D , E.
<h3>
What is meant by ratio?</h3>
A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other.
<h3>
What is meant by ratio in simplest form?</h3>
Ratio in it's simplest form means when the ratio can't be simplified anymore by cancelling out the common factors.
The ratio in Option(A) can't be simplified anymore because 29 is a prime number.
The ratio in Option(B) can be simplified to 1 / 7.
The ratio in Option(C) can be simplified to 5 / 2.
The ratio in Option(D) can't be simplified.
The ratio in Option(E) can't be simplified because 19 is prime number.
Hence, the correct answer is Option A , D , E.
Learn more about ratios on:
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It doesn’t really matter which variable you isolate first but usually you would use the one that’s by itself already. like for example one of the equations was y = 8. you would already have your y solve for so you would just have to plug that in for y in the other equation. personally, i usually do x first unless one of the equations has either x or y by itself already. i think its easier to just do x first and then solve for y after that, but it just depends on what the equations are; sometimes it might be easier to just do y first. hope this helps!
