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
Answer:
Together they will complete the order in 6/5 hours.
Step-by-step explanation:
Lisa an experience shipping clerk can fill a certain order in 2 hours.
Jim a new clerk needs 3 hours to do the same job working.
For 1 hours Lisa can fill 1/2 a order.
For 1 hours Jim can fill 1/3 a order.
For 1 hours togethers can fill 1/2+ 1/3=5/6 a order.
We have the following proportion:
Together they will complete the order in 6/5 hours.
Answer:
105°
Step-by-step explanation:
Since 4 and 5 are equal, 210/2=105°
Answer:
.574
Step-by-step explanation:
This can be inputted in a calculator to achieve .57357643
To three decimal places that is .574
You can solve this by substitution.
x+y=10
x-y=4
===== add the equations
2x=14
x=7
Then plug in x into one of the equations
7+y=10
y=3
so x^2=7*7=49
y^2=3*3=9
Hope that helps!
