Correct answer:
"<span>If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle"
the Pythagorean theorem states that in a right triangle, the sum of the squares of the shortest sides is equal to the square of the largest side, the hypotenuse.
Also,
If we have a triangle with side lengths a, b and c, where a and b are the shortest, and "a squared plus b squared = c squared" then the triangle is a right triangle.
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Answer:
32 ft
Step-by-step explanation:
From the diagram, the side opposite the 60° angle is 28 feet.
We are looking for the approximate length of the cable.
The approximate length of the cable is the hypotenuse of the triangle shown.
Recall the sine ratio from SOH-CAH-TOA
Which means Sine of the angle is Opposite/Hypotenuse
Let the hypotenuse be h, then we have:
![\sin(60) = \frac{28}{h}](https://tex.z-dn.net/?f=%20%5Csin%2860%29%20%3D%20%20%5Cfrac%7B28%7D%7Bh%7D%20)
![0.866 = \frac{28}{h}](https://tex.z-dn.net/?f=0.866%20%3D%20%20%5Cfrac%7B28%7D%7Bh%7D%20)
![h = \frac{28}{0.866}](https://tex.z-dn.net/?f=h%20%3D%20%20%5Cfrac%7B28%7D%7B0.866%7D%20)
![h = 32.33](https://tex.z-dn.net/?f=h%20%3D%2032.33)
The length of the cable is approximately 32 feet
Try this option:
the rule: if f(-x)=f(x), then the function f(x) is even, if f(-x)=-f(x) then the function is odd.
1. f(x)=-5x⁴-2;
if to substitute x→(-x), then f(-x)=-5*(-x)⁴-2; ⇔ f(-x)=-5x⁴-2, in other words f(x)=f(-x), it means that this function is even.
2. f(x)=x³+2x.
if to substitute x→(-x), then f(-x)=(-x)³+2*(-x); ⇔ f(-x)=-(x³+2x), in other words f(-x)=-f(x), it means that this function is odd.
<span>(18<span>t<span><span>^2</span><span> </span></span></span>+ 9<span>t^<span><span>2</span><span></span></span></span>) + (−7t −3t) + 20
</span><span><span>27<span>t<span><span>^2</span><span> </span></span></span>− 10t + 20</span><span>
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I think the answer is:
Rectangle: X X O X X
Rhombus: X X X X O
Square: X X X X X
I hope you got a good grade!!!