Using proportions, it is found that:
a) A raise of $500 would be equivalent to a percentage of 80%.
b) From the above percentage, it would fall into the Gold Award range.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using arithmetic operations such as multiplication and division.
One example of application of proportions is for percentage problems, as a percentage is given by the amount a divided by the total amount b, and multiplied by 100%.
The goal of the raise is of $625, hence b = 625, and considering a raise of $500, a = 500, hence the percentage of the raise is given as follows:
500/625 x 100% = 80%.
To find the range of the raise, we look at the table. For a percentage of 80%, the amount is a Gold Award contribution.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
Step-by-step explanation:
Remark
The two angles with x in them are = 90 degrees. That's because this is a right angle triangle.
Equation
x^2 + 10x + 115 = 90 Subtract 90 from both sides
Solution for x
x^2 + 10x + 115 - 90 = 0
x^2 + 10x + 25 = 0
Factor
(x + 5)(x + 5) = 0
x = - 5
Angle C
C = 10x + 115
C = 10*-5 + 115
C = -50 + 115
C = 65
<em>Angle A (which you don't need)</em>
x^2 = (-5)^2
x^2 = A = 25
Find BC
Cos(C) = adjacent / hypotenuse
Cos(65) =0.4226
AC = hypotenuse = 65
0.4226 = adjacent / 44 Multiply both sides by 44
44 * 0.4226 = adjacent
adjacent = 18.6 to three places.
Answer:
StartRoot 58 EndRoot cm
THE ANSWER IS D
Step-by-step explanation:
Twice the sum of a number and 4 is 14. In this case the numbers are added first, and the ANSWER is doubled.
Answer:
The lateral area of this square pyramid is 100 in^2
Step-by-step explanation:
The lateral area of a polyhedron is the added area of all lateral faces (faces on the side) excluding the bases.
In this case, the lateral sides of the square pyramid are the 4 triangular faces on the sides.
AREA OF ONE TRIANGULAR FACE (given by the formula 1/2 x bh):
1/2 x 10 x 5 = 25
Multiply that by 4 since all 4 triangular faces are similar:
25 x 4 = 100
So the lateral area of the square pyramid is 100 in^2.
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