Answer:
<em>The length of the straw is 13.53 cm</em>
Step-by-step explanation:
<u>Rectangular Prism</u>
A rectangular prism or cuboid is a box-shaped object. It has six flat faces and all angles are right angles. And all of its faces are rectangles.
If the straw must reach into the diagonally opposite corners of the base of the carton, then its minimum length is calculated by:
Where a,b, and c are the dimensions of the cuboid. The image shows the dimensions of the drink carton: a=6 cm, b=10 cm, c=4 cm (order is not important), thus:
d= 12.33 cm
The straw must stick out of the carton by an additional 1.5 cm, thus the total length of the straw is: 12.33 + 1.5 = 13.53 cm
Answer: The range = 41.
Step-by-step explanation:
97 - 56 = 41
Let length of a leg = x
Then, since we have an isosceles right angled triangle:-
2x^2 = 32^2 = 1024
x^2 = 512
x = 22.63 answer
x = 4
Each leg has a length of 4 units.
We have to isolate x. We can achieve that using inverse operations.
6 = 2(x + 8) - 5x
Simplify.
6 = 2x + 16 - 5x
Combine like terms.
6 = -3x + 16
Subtract 16 from both sides.
-10 = -3x
Divide both sides by -3.
3 1/3 = x
x is equivalent to 10/3, 3.33 repeating, or 3 1/3.
The answer is ≈0.524... so, none of the above?
Start by moving the three to the other side of the equation. Do this by subtracting 3 from both sides, so you get 21x=11.
Next, divide both sides by 21. This will give you x=11/21, which is ≈0.524.
However, I do not see this as one of the answers. I get why you might be confused!