<span>A new kind of temporary pavilion support for a square roof uses just two poles set at the diagonal corners of a square. The allowable distance between the poles is 18 feet. Find the area of the roof. The sides will have lengths of 18/sqrt(2). Since they are perpendicular, the area of the square will be (18^2)/2 = 81*4/2 = 162 square feet.
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I think 7 oranges for $2.45 are better.
Answer:
Option D.
Step-by-step explanation:
Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).
Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.
Therefore, x = ![\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5B4m%2Bn%28-4%29%5D%7D%7Bm%2Bn%7D%3D%5Cfrac%7B8-24%7D%7B2%2B6%7D)
= -
= -2
and y = ![\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5B7m%2Bn%28-9%29%5D%7D%7Bm%2Bn%7D%3D%5Cfrac%7B14-54%7D%7B2%2B6%7D)
= 
= -5
Therefore, the point (x, y) is (-2, -5).
Option D. will be the answer.
In this problem you only need to find the x value of one triangle. If you notice, this is a rectangle that has been cut in half by a diagonal into two equal right triangles. So both the top and bottom part are equal to 500 and both have an angle equal to 10 degrees.
Now looking at the problem, you would have to use tangent since 500 is adjacent and your X value is opposite.
Tan(10) = (X/500)
Now solve by multiplying each side by 500
X= Tan(10) 500 put this in a calculator
Answer is 88.2 degrees
Answer: option iii
The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm
Explanation:
The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm
First side is = 16.2 cm
Second side is = 16.2 cm
Third side = half of 16.2 = 8.1 cm
The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm
