Step-by-step explanation:
27×15=405 which means there is 95$ left
Answer:
O = (3,3)
Explanation:
The <em>altitude</em> of a triangle is the perpendicular from a vertex to the opposite side.
The orthocentre (O) of a triangle is the point where the three vertices intersect.
We must find the equations for only two of the altitudes, because the third will also intersect at that point.
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Your three points make a right triangle.
The altitude of B is side AC.
The altitude of C is sde AB.
Their point of intersection at A (3,3) is the orthocentre of thetriangle.
Answer:
2y + ( x- 20)= 500
y= 520-x/2
Step-by-step explanation:
Let the weight of George be x and the weight of the suspect be y .
The swing can hold a maximum of 500 pounds .
Twice the weight of suspect added with 20 pounds less than the weight of George equals 500.
2y + ( x- 20)= 500
or
2y+x- 20 = 500
adding 20 to both sides
2y+x -20 +20= 500+ 20
or
2y +x = 520
Subtracting x from both sides
2y+ x-x = 520-x
or
2y = 520-x
Dividing by 2 on both sides
y= 520-x/2
The suspect's weight is y= 520-x/2
Answer:
√2
Step-by-step explanation:
Solving the given expression step by step:
![\frac{\sqrt{36} }{\sqrt{18} } = \frac{6}{3\sqrt{2} }\ \ \ [\because \sqrt{36} = 6 \ and \ \sqrt{18} = 3\sqrt{2}] \\ = \frac{3 \times 2}{3\sqrt{2} } = \frac{ 2}{\sqrt{2} }= \sqrt{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B36%7D%20%7D%7B%5Csqrt%7B18%7D%20%7D%20%3D%20%5Cfrac%7B6%7D%7B3%5Csqrt%7B2%7D%20%7D%5C%20%5C%20%5C%20%5B%5Cbecause%20%5Csqrt%7B36%7D%20%3D%206%20%5C%20and%20%5C%20%5Csqrt%7B18%7D%20%3D%203%5Csqrt%7B2%7D%5D%20%5C%5C%20%3D%20%5Cfrac%7B3%20%5Ctimes%202%7D%7B3%5Csqrt%7B2%7D%20%7D%20%3D%20%5Cfrac%7B%202%7D%7B%5Csqrt%7B2%7D%20%7D%3D%20%5Csqrt%7B2%7D)
We rationalize denominator and change it into a simpler form as soon as possible.