Answer: Q=1.79
Step-by-step explanation: Move 0.63 to the right and add both numbers then calculate it. So Q=1.79
Answer: 1400 packages
Step-by-step explanation:
1150+1200+1900+1350 divided by the 4 day interval means and average of:
1400 packages per day
Answer:
The height of the tree is
18.67
feet
Step-by-step explanation:
Explanation:
The pole and the tree both cast shadows. The triangles which form are similar triangles, because the sun is shining from the same angle in the sky.
You can write this as a direct proportion. (height : shadow)
2 is to 1.5 as what is to 14?
2
1.5
=
x
14
←
cross multiply
x
=
2
×
14
1.5
x
=
18.67
feet
Answer: The circumference would be 13.502
Step-by-step explanation: I totally forgot how to do the rest I am sorry
Answer:
1. x = 15 in
2. x = 8 m
Step-by-step explanation:
1. Given:
length = 10 in
width = 3 in
height = x in
surface area of the rectangular prism = its volume
Required:
Value of x
Area = 2(wl + hl + hw)
Volume = l*w*h
Therefore:
2(3*10 + x*10 + x*3) = 10*3*x
2(30 + 10x + 3x) = 30x
2(30 + 13x) = 30x
60 + 26x = 30x
Subtract 26x from both sides
60 + 26x - 26x = 30x - 26x
60 = 4x
Divide both sides by 4
60/4 = 4x/4
15 = x
x = 15 in
2. Given:
length = 8 m
width = 4 m
height = x m
surface area of the rectangular prism = its volume
Required:
Value of x
Area = 2(wl + hl + hw)
Volume = l*w*h
Therefore:
2(4*8 + x*8 + x*4) = 8*4*x
2(32 + 8x + 4x) = 32x
2(32 + 12x) = 32x
64 + 24x = 32x
Subtract 24x from both sides
64 + 24x - 24x = 32x - 24x
64 = 8x
Divide both sides by 8
64/8 = 8x/8
8 = x
x = 8 m
