The volume of the metal box if the box was completely solid (V1), is:
V1=(12 inches)³
V1=1728 inches³
As there are 3 inches of metal on both sides, the widht if the metal box was not completely solid, is:
W=12 inches-(3 inchesx2)
W=6 inches
Then, the volumen of the no solid metal box is:
V2=(6 inches)³
V2= 216 inches³
Therefore, the volume of metal needed to smelt the cubical metal box, is:
V3=V1-V2
V3=1728 inches³-216 inches³
V3=1512 inches³
Answer:
Step-by-step explanation:
The first thing you need to do is develop the equation. Less in this case means subtract.
On the left side you have
9 times a number which is 9*x
5 less than 9 times a number means 9x - 5
Now you shift to the right
x = 3
x + 19 What you get is
9x - 5 = x + 19 Subtract x from both sides of the equation
9x - x - 5 = 19 Combine both x terms on the left
8x - 5 = 19 Add 5 to both sides.
8x - 5 + 5 = 19 + 5 Combine terms
8x = 24 Divide by 8
x = 24/8
x = 3
<span>"AB=BC" Meaning this is an isoceles triangle
Thus </span>∠C is an angle Identical to ∠A
And given the rule of thumb; "every angle on a triangle. must add up to 180°"
∠A + ∠C = 130°
180° - 130° = ∠B
∠B = 50°
Using the Pythagorean theorem
c^2 = a^2 +b^2
C^2 = 12^2 + 8^2
c^2 = 144 +64
c^2 = 208
c= sqrt(208)
c= 14.4 feet
Word the problem so it helps you with the double number line like this:
Question:
If 1/6 mile of a fence is completed each hour how long will it be in 4 hours?
Then use the double line:
1/6-----miles(1/6*4)------X Length X=1/6*4
I X= 1/6*4/1
I X= 4/6 ≈2/3 miles
1-------hours--------------4 Time
Here is a video that might help with your homework a lot :) Good luck
https://www.youtube.com/watch?v=89VhAPhvNcA
