If you cut the rectangle (the wall) diagonally, you get two congruent triangles. The measurements of the sides of one the triangles is 8, 15 and x. There is a pythagorean triples 8, 15, 17 so x has to be 17. if you dont know the triple you can do a^2 + b^2 = c^2 8^2 + 15^2 = c^2 c = 17
the diagonal of wall should be 17
Desmos graphing calculator will draw this graph for you.
draw 2 curves
y = x^4 + x^3
and
y = 4x^2 + 4x
The roots are the points where the 2 curves intersect.
You can see by simple substitution that one root is zero.
x^4 + x^3 - 4x^2 - 4x = 0
f(2) = 16 + 8 - 4(4) - 4(2) = 0 so 2 is another root
f(-2) = 16 - 8 - 16 + 8 = 0 so -2 is another root
f(-1) = 1 - 1 - 4 + 4 = 0 so -1 is the other root
The answer is A
Answer:
1/2
Step-by-step explanation:
Since half of them chose to play dress-up, the probability of randomly selecting a child that chose to play dress-up would also be 1/2.
(hope this helps :P)
<h3>
Answer: 326.56 square cm</h3>
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Work Shown:
SA = 2*pi*r^2 + 2*pi*r*h
SA = 2*3.14*(4)^2 + 2*3.14*4*9
SA = 326.56
Notes:
- The answer is approximate. Use more decimal digits of pi to get a more accurate answer (though it will never be exact unless you leave it in terms of pi).
- The portion 2pi*r^2 is the fact we have two circular bases with area of pi*r^2 each.
- The portion 2*pi*r*h is the lateral area, or the area around the curved side. If you unfold this portion, as you would maybe a label on a soup can, it has base of 2*pi*r and height h. The base 2pi*r is the circumference of the circle of radius r.
Answer:
57.23
Step-by-step explanation:
Multiplied it out, and two negatives make a positive, so boom you get the answer :)
