Answer:
V= 18.75 cm^3
Step-by-step explanation:
- The formula for finding the volume for <em>any</em> given shape is V = L x W x H.
- So, multiply 2 1/2 cm x 2 1/2 cm x 3 cm.
- This gives you 18.75 cm^3
Answer:
B. the store gets a new 40-pound dog
Step-by-step explanation:
Answer:4 squares or a rectangle and a square
Step-by-step explanation:
Y = x^2 cos x
y' = x^2 * -sin x + cos x * 2x
= 2x cos x - x^2 sin x
= x ( 2 cos x - x sin x)
Let the two numbers be x and y, then,
xy = -12 . . . (1)
x + y = -10 . . . (2)
From (2), x = -10 - y . . . (3)
Putting (3) into (1), gives
(-10 - y)y = -12
-10y - y^2 = -12
y^2 + 10y - 12 = 0
![y= \frac{-10\pm \sqrt{10^2-(4\times(-12))} }{2} = \frac{-10\pm \sqrt{148} }{2} = \frac{-10\pm 2\sqrt{37} }{2} = -5\pm\sqrt{37}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B-10%5Cpm%20%5Csqrt%7B10%5E2-%284%5Ctimes%28-12%29%29%7D%20%7D%7B2%7D%20%3D%20%5Cfrac%7B-10%5Cpm%20%5Csqrt%7B148%7D%20%7D%7B2%7D%20%3D%20%5Cfrac%7B-10%5Cpm%202%5Csqrt%7B37%7D%20%7D%7B2%7D%20%3D%20-5%5Cpm%5Csqrt%7B37%7D)
Therefore, the two numbers are
![-5+\sqrt{37}](https://tex.z-dn.net/?f=-5%2B%5Csqrt%7B37%7D)
and