Answer:
Step-by-step explanation:
AC = length of flagpole = 12 ft
AB = length of shadow = 14 ft
BC = length from the top of the flagpole to the end of the shadow = x ft
Use Pythagorean theorem to find the length of x,
x² = AC² + BC²
= 12² + 14²
= 144 + 196
= 340
x = √340
x = 18.4 ft
Answer:
Step-by-step explanation:
<u>Given equations:</u>
<u>Add together:</u>
- -8x + 8y + 3x - 8y = 8 - 18
- - 5x = - 10
Correct option is D
The coordinates of the other endpoint are (-8, 18)
Answer: A)There are 5 nonfiction books for every 9 fiction books in the library.
Step-by-step explanation: If you do the math you realize that there are clearly less nonfiction books than fiction books.
105/5=21 and after 21*9 lines up and to check your work than
5*21=105 and 9*21=189 it is not B because the smaller number 105 is in front of the ratio 105:189 and 5:9
Answer:
The constant of proportionality gives you the price per unit at each store.
Step-by-step explanation:
If you assume that the price (y) is directly proportional to the amount (x) you get, the formula is
y = kx
where k is the constant of proportionality.
k = y/x
k has the units of cost per unit, for example, dollars per ounce.
The fewer the dollars per ounce, the better the deal you are getting.
If store A offers apple sauce at $1.29 for 25 oz and Store B offers apple sauce at $2.89 for 50 oz, which is the better deal?
At store A, k = $1.29/25 oz = $0.052/oz or 5.2¢/oz
At store B, k = $2.89/50 oz = $0.058/oz or 5.8¢/oz
The apple sauce is cheaper at Store A.
