The one that is wrong is. C. If all the x’s are different it is a function
The set is not closed
Example
-4 * -2 = 8
8 is not a negative integer
We can use Pythagorean's Theorem in order to find the remaining side length
a^2+b^2=c^2
Let a be the shadow length
Let b be the height of the flagpole
Let c be the hypotenuse
28^2+b^2=35^2
784+b^2=1225
b^2=1225-784
b^2=441
b=√441
b=21
Therefore the flagpole is 21 meters tall.
Hope this helps!
Rectangle
l = 7.2 - 1.7 = 5.5 ft b = 3.4 ft
Semicircle
r = 1.7 ft
Shaded region = area of rectangle + area of semicircle
= l x b + πr²/2
= 5.5 x 3.4 + 3.14 x 1.7 x 1.7 x 1/2
= 18.7 + 4.5373
= 23.2373 ft²
Both questions make use of the formula for the area of a triangle:
.. A = (1/2)*b*h
23. A = (1/2)*b*h
.. A = (1/2)*x*7 . . . . substitute the given values
.. A = 3.5x . . . . . . . simplified
24. A = (1/2)*b*h
.. 84.5 = (1/2)*13*h . . . . . substitute the given values
.. 2*84.5/13 = h = 13 . . . .solve for h
The height of the triangle is 13 cm.
