Answer:
Step-by-step explanation:
Let use the following trigonometric identities:
Then, the equation is simplified by substituting its components:
If the top is $48 and it is 60% off you will multiply the cost by the decimal form of the sale percentage: 48*0.60= $28.80. This is the amount she will save and I think is the answer you are looking for.
If there is a follow up question asking for the final cost of the top you would find that by subtracting the amount saved from the original cost: 48.00-28.80=$19.20.
Answer: The correct option is (C). an exterior angle.
Step-by-step explanation: We are to select the name of the new angle that is created by extending one side of a triangle.
Let ABC be a triangle as shown in the attached figure.
∠ABC, ∠ACB and ∠BAC are three interior angles of the triangle ABC.
Let us extend the side BC towards C to point D. The newly created angle is ∠ACD.
∠ACD is called the exterior angle of ΔABC.
Therefore, the newly created angle is an exterior angle.
Thus, option (C) is correct.
Answer:
$15 < $4n + $5
Step-by-step explanation:
We know that Billy needs to make more than $15 between his allowance and the lawns that he mows. This means our inequality should include $15<. Also, since Billy will make $4 per lawn, that means we need to multiply $4 by the number of lawns he needs to mow, n: $4n. So far we have the following: $15<$4n. Next, we know that he makes $5 each week, on top of what he makes mowing each law. This means we need to add the $5 to the $4n. When we put all of these pieces together, we will get the following inequality: $15<$4n+$5
Given:
The race percent of population is
White: 45%
Hispanic: 27%
Black: 18%
Asian: 7%
Other: 3%
Part a.
The university has 2,815 Hispanic out of the 20,250 total population.
This is equivalent to (2815/20250)*100 = 13.9%
This percentage is less than 27%, so Hispanics do not have proportional representation.
Answer: The Hispanic students do not have proportional representation.
Part b.
Let x = the extra number of Hispanic students needed for proportional representation of 27% or 0.27.
Then
(2815 + x)/20250 = 0.27
2815 + x = 20250*0.27 = 5467.5
x = 5467.5 - 2815 = 2652.5
This means that 2,653 extra Hispanic students are required for a population of 20,250 students.
Answer: 2,653 extra Hispanic students.