Lucía needs 13.33 feet of cotton.
Since Lucía makes braided key chains out of cotton cord, and for every 8 feet of cotton cord she has, she can make 3 braided key chains, to represent the relationship between the feet of cotton cord and the number of key chains and find the number of feet of cotton cord Lucia needs to make 5 key chains, the following calculations must be performed, through a cross multiplication:
- 8CC = 3KC
- 3 = 8
- 5 = X
- 5 x 8/3 = X
- 40/3 = X
- 13.33 = X
Therefore, Lucía needs 13.33 feet of cotton.
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There are two triangles here: ABC and ADF. These triangles are similar, and thus proportional. So, we can set up a proportion between the left side of each triangle and the base of each triangle.
AB / AD = BC / DE
4 / (4 + BD) = 5 / 9
---AD is made up of AB and DB. We know AB, but not BD, so we need to find its value to find the length of AD.
5(4 + BD) = 9 x 4
20 + 5BD = 36
5BD = 16
BD = 3.2
AD = AB + BD
AD = 4 + 3.2
AD = 7.2
Hope this helps!
set A = {2, 4, 6, 8, 10} (only even cards)
set B = {8, 9, 10} (8 or higher)
( A ∩ B ) means the numbers which are common in both sets .
They both have 8 & 10 in common.
So the answer is: P(A ∩ B) = {8,10}
yup the answer would be c have a nice day :)
Answer:
<h2>Leg length = 8.5</h2><h2 />
Step-by-step explanation:
let x represent the leg length
if we use the Pythagorean theorem we get:
x² + x² = 12²
then
2x² = 12²
Then
x² = 144/2 = 72
then
x = √(72)
=8,485281374239
