Answer:

Step-by-step explanation:
Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures
. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).
We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

We use just the positive root, since we are looking for an actual length. then, the requested side is:

To find LCM
factor and eliminate ones already represented
1=1
2=2
3=3
4=2*2
5=5
1*2*2*3*5=60
Answer:
x=18
Step-by-step explanation:
Answer:
a. C = 12x + 110; b. $290
Step-by-step explanation:
a. The polynomial
Let L = cost of flip-flops
and S = cost of sandals
Then
C = L + S
= 40 + 4x + 70 + 8x
= 12x + 110
b. The cost
C = 12 × 15 + 110
= 180 + 110
= $290
The cost of making 15 flip-flops and 15 sandals is $290.
Answer:

Explanation:
Assuming the correct expression is to find the following limit:

Use the property the limit of the quotient is the quotient of the limits:

Evaluate the numerator:

Evaluate the denominator:
- Since

