Answer: $8.95 per yard of fabric
Step-by-step explanation:
Define the following:
x = cost of fabric per yard
Make an equation:
⇒ 3x + 1.25 = 28.10
⇒ 3x = 26.85
⇒ x = 8.95
∴ $8.95 per yard of fabric
Answer: P=130
2W +2L=130
2(31) + 2(34)=130
W=31
L=34
Step-by-step explanation:
P=130
2L + 2W
W=L-3
Add all of the sides together to get perimeter.
2(L-3) + 2L=130
2L-6+2L=130
4L-6+6=130+6
4L=136
4L/4=136/4
L=34
W=L-3
W=34-3
W=31
9514 1404 393
Answer:
47 -6√10
Step-by-step explanation:
As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.
(a -b)² = a² - 2ab + b²
(√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²
= 2 - 6√10 + 3²(5)
= 47 -6√10
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<em>Check</em>
√2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals
(√2-3√5)² ≈ 28.02633
47 -6√10 ≈ 28.02633
Hello! For ease of calculations, we can identify the time it took for the weight to bounce back to the other direction, then the other, and then back to its original position by looking at the time it took for the weight to change from 0 to 25 to 0 to -25 then back to 0. This is one whole cycle of the weight.
By the time the weight first reached zero, 1.5 seconds has passed. By the third time it got to zero again, 7.5 seconds has passed. Therefore, one whole cycle of the weight is 7.5-1.5 = 6.0 seconds.
ANSWER: One whole cycle of the weight took 6 seconds.
36 is a perfect square, but its factors include 1 and 36, 6 and 6, 4 and 9, 3 and 12, and 2 and 18. that's 9 factors, not 3.
