Answer:
x = 12, y = 16
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
18(2x + 6) = 540 ( divide both sides by 18 )
2x + 6 = 30 ( subtract 6 from both sides )
2x = 24 ( divide both sides by 2 )
x = 12
-------------------------------------------
and
=
, substitute values
=
( cross- multiply )
27y = 432 ( divide both sides by 27 )
y = 16
Answer:
The two-liter bottle of soda has a unit price of $0.028/ounce.
The case of twelve 12 ounces has a unit price of $0.021/ounce.
The case of twelve 12 ounce can is the better bargain.
Step-by-step explanation:
A two-liter bottle of soda i.e. 67.6 ounces cost $1.89.
So, the unit price (price/ounces) of this type of soda is dollars per ounce.
Again, a case of twelve 12 ounce cans of the same soda costs $2.99.
So, the unit price (price/ounces) of this type of soda is dollars per ounce.
Therefore, the case of twelve 12 ounce can is the better bargain. (Answer)
SOLUTION
Let us use a simple diagram to interprete the question
In the diagram above, the dark stuff below represents the shadow and the rectangular bar represents the building. I have labelled the height of the building as h.
So we will use the right-angled triangle formed to find h
As we can see h represents the opposite side and 56.5 feet represents the adjacent side of the right-angle triangle. So we will use TOA
So we have
Hence the answer is 104.9 feet to the nearest tenth
