Answer:
19.3
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
area of rectangle = l(ength)×w(idth)
perimeter = 2×l + 2×w
diagonal = sqrt(l² + w²) (Pythagoras)
l×w = 12. => l = 12/w
2×l + 2×w = 14
2×12/w + 2×w =14
12/w + w = 7
12 + w² = 7w
w² - 7w + 12 = 0
=> (after a little thinking and trying : what 2 numbers multiply to 12 and add to -7 ? -3 and -4
=> (w-3)×(w-4) = 0
so, we get 2 solutions for w : 3 and 4
that gives us 2 solutions for l : 4 and 3
so, one is 3 and the other 4. it does not matter which is which. length 4 and width 3 produce the same diagonal as length 3 and width 4.
diagonal = sqrt(l² + w²) = sqrt(16 +9) = sqrt(25) = 5
To find scale factor you first must find two corresponding sides. then divide one by the other. note that if you divide the smaller side by the larger you will get a number less that one and if you divide the larger side by the smaller side you will get a number greater than one.
Answer:
this is easy it is 23 miles per every 35 housrs
Step-by-step explanation:
Answer:
$27.14
Step-by-step explanation:
Price of 1 DVD: $9.10
Price of 4 DVDs: 4 * $9.10 = $36.40
Discount: 25%
Now we find 25% of $36.40.
25% of $36.40 =
= 0.25 * $36.40
= $9.10
The 25% discount amounts to $9.10. We now subtract $9.10 from $36.40 to find the discounted price.
$36.40 - $9.10 = $27.30
Now we need to apply the 6.75% tax to $27.30.
6.75% of $27.30 =
= 0.0675 * $27.30
= $1.84
The sales tax is $1.84.
Now we add the sales tax amount to the total discounted price.
$27.30 + $1.84 = $29.14
Answer: $27.14