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
I'd suggest you get rid of the fraction first. Mult. every term by 3. You will get
3y^2 + 10y + 3 = 0
From inspection, with coefficient a=3 and coeff. c = 3, the binomial factors could possibly begin with y or 3y: for example, y+1; also, the binom. factors may end in +1. Let's try the possible binomial factor 3y + 1.
Note that 10y separates into 9y+1y.
Then 3y^2 + 10y + 3 = 0 becomes
3y^2 + 9y + 1y + 3 = 0
Let's apply factoring by grouping:
3y^2 + 9y + 1y + 3 = 0
3y*(y + 3) + 1(y + 3) so y+3 is indeed a common factor.
Factoring y+3 out, we get (y+3)(3y + 1), which prove to be the correct set of factors. Multiply these together to ensure that the product is indeed y^2 + (10/3)y + 1.
Answer:
You did it correctly what answer you want ??
Answer:0.94
Step-by-step explanation:
Answer:
6h² + 3h + 5
Step-by-step explanation:
7h² + 2h + 5 - h² + h
= 7h² - h² + 2h + h + 5
= 6h² + 3h + 5
