0.674 means that it 674/1000
which mean that if the model consist of 1000 squares, you have to shade 674 of the squares.
If the model consist of 500 squares, you have to shade 337 of the squares ( you get the number after dividing both 674 and 1000 with 2)
Ok, since y varies inversely as x , the equation is y=k/x....... Then you plug in 2 for y and 25 for x to find K....... After that you get K= 50...... Then plug in 50 for K and 40 for y then solve for x....... After that you get X= 1.25!!!!! :)
The speed of the 747 jet is 545MPH and the speed of the 787 jet is 530MPH. that means the 747 jet is faster by 15MPH
9x^4 -225y^8
= 9(x^4 - 25y^8)
= 9(x^2 + 5y^4)(x^2 - 5y^4)
"<span>One leg of a right isosceles triangle is 8 feet. What is the area of the triangle?"
If one leg is 8 ft, so is the corresponding leg. That leaves the third leg unknown.
If you represent the length of the unknown third leg by x, and regard it as the base of your triangle, then the area of the triangle is
A = (1/2)(base)(height) BUT, we don't have the height. That "8" represents the length of each of the equal legs of this isosceles triangle.
We must find the height of the triangle. The Pyth. Thm. applies here:
the hypotenuse is 8, and one leg is (x/2). Thus, the following is true:
(height)^2 + (x/2)^2 = 8^2, or (height)^2 = 64 - x^2/4
Thus, the height is the positive square root of 64 - x^2/4.
We can now write an expression for the area of this triangle:
A = (1/2)(base)(height) = (1/2) (x) (sqrt(64-x^2/4)).
Example: suppose that x=4. Then x/2 = 2.
The area of this particular triangle would be A = (1/2)(4)(sqrt(64-4), or
= 2 sqrt(60), or
A = 2sqrt(4)sqrt(15), or
= 4sqrt(15)
Important: realize that this is an example, not the actual answer.
Can you provide the length of the base of this triangle, please?
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