ΔABC is a 45 - 45 - 90 triangle. The pattern of its sides is as follows:
Each leg = 1 unit (and both legs are that way, since the triangle is isosceles - so two sides are the same)
Hypotenuse = √2 units.
So if we know either leg, we multiply by √2 to get the hypotenuse. In reverse, we divide by √2 if we know the hypotenuse to get the measurement of a leg.
Our problem tells us that the hypotenuse AC is 10 units. We divide 10 by √2 to get the measurement of leg AB. Since it's a 45 -45 - 90 triangle, AB = BC.

to rationalize the radical

Thus, each leg is 5\sqrt{2} [/tex].
45 cookies will serve 15 students.
You would multiply 15 by 2 that would give you 30, therefore you multiply 45 by 2 which will be 90.
90 cookies will serve 30 students
Answer:
B
Step-by-step explanation:
I learned this
I know this because, (-1, -3) & (1,-3) are both on the x-axis if you locate them on a graph.
Hope this helped!
X = small van capacity, y = larger van capacity
y = x + 6
2x + y = 57
now we sub in x + 6 for y
2x + x + 6 = 57
3x + 6 = 57
3x = 57 - 6
3x = 51
x = 51/3
x = 17
y = x + 6
y = 17 + 6
y = 23
small van (x) has 17 seats and large van (y) has 23 seats
Answer: Choice C)40cm
Step-by-step explanation:
We know that cosp=0.6 and PM=24 so,
PM/PN=0.6
24/PN=0.6
by rearranging we get
PN=24/0.6
PN=40