Answer:
470 cm³
Step-by-step explanation:
Volume of rectangular prism = width × length × height
⇒ Volume of whole rectangular prism = 9 cm × 10 cm × 8 cm
= 720 cm³
Side lengths of the missing piece:
- width = 5 cm
- length = 10 cm
- height = 8 cm - 3 cm = 5 cm
⇒ Volume of the missing piece = 5 cm × 10 cm × 5 cm
= 250 cm³
⇒ Volume of irregular figure = 720 cm³ - 250 cm³
= 470 cm³
y = -0.65 (6) + 7.34
y = 3.44
but the dot plot showed when x = 6, y = 4
so 4 - 3.44 = 0.56
Answer
0.56
Answer:
(-5, 2) and (2, 6)
Step-by-step explanation:
Use the substitution method. We know that y = 3x and y = x^2 - 10, so we can set them equal to one another.
3x = x^2 - 10
x^2 - 3x - 10 = 0
Use the quadratic equation to solve for x.
x = - 5, 2
Now solve for y using these two values of x by substituting it back into the equations.
y = - 15, 6
In coordinate form, (-5, 2) and (2, 6)
Answer: plane 1: 420 mph; plane 2: 500 mph
Step-by-step explanation:
This is a physics exercise, but in order to solve this problem, you need to identify both planes first:
Let's call the plane 1 speed X
V1 = X
And V2 would be:
V2 = V1 + 80 = X + 80
If we combine both speeds:
V = V1 + V2 = X + X + 80 = 2X + 80
Now that we have an expression for the combined speed, let's see the rest of the data:
Distance: d = 1380 mile
Time: t = 1.5 h
We also know that the formula to get speed is:
V = d/t
We have the combined speed, so, let replace it in the above formula to solve for X:
2X + 80 = 1380/1.5
2X + 80 = 920
2X = 920 - 80
2X = 840
X = 840/2
X = V1 = 420 mph
We have V1, so to get V2:
V2 = 420 + 80 = 500 mph
