A ratio is used to describe how two or more quantities are related. For example, we might say that a fruit drink calls for sugar crystals to be mixed with water in a ratio of 2:6. This means that for every 2 scoops sugar crystals, there will need to be 6 ounces of water. If there were 200 scoops of sugar crystals, there would need to be 600 ounces of water.
Answer:
the answer is going to be D. (3,4,5,8,9,3)
The expression is equivalent to -8y + 7x.
Given
Expression; (-3y - x) - (5y - 8x)
<h3>How to find the equivalent expression?</h3>
To find the equivalent expression multiply the expression and add and simplify.
Then,
The expression is equivalent to;
(-3y - x) - (5y - 8x)
-3y - x - 5y + 8x
-8y + 7x
Hence, the expression is equivalent to -8y + 7x.
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Let the height of the building be x. Let the initial distance of the ant from the building be y, then
tan 32 = x/y
y = x/tan 32 . . . . . . . . (1)
tan 22 = x/(y + 66)
y tan 22 + 66 tan 22 = x
y = (x - 66 tan 22)/tan 22 . . . . . . . . (2)
Equating (1) and (2), we have
x/tan 32 = (x - 66 tan 22)/tan 22
x tan 22 = x tan 32 - 66 tan 22 (tan 32)
x(tan 32 - tan 22) = 66 tan 22 (tan 32)
x = (66 tan 22 (tan 32))/(tan 32 - tan 22) = 66(0.4040)(0.6249)/(0.6249 - 0.4040) = 16.6626/0.2208 = 75.4
Therefore, the height of the building is 75.4 feet.
Add the 8 to 24 and divide 32 by 2