Answer:
Step-by-step explanation:
Let the cost of apples be x
<u>Then we have equation:</u>
- (9 - 1.5)x = 15
- 7.5x = 15
- x = 15/7.5
- x = 2
<u>Cost of apple:</u> $2 per pound
Answer:
C = 39
Step-by-step explanation:
From the question given above, the following data were obtained:
A = 2x + 108
B = x + 33
C =?
Next, we shall obtain an expression for C. This can be obtained as follow:
A + B + C = 180 (sum of angles in a triangle)
2x + 108 + x + 33 + C = 180
2x + x + 108 + 33 + C = 180
3x + 141 + C = 180
Make C the subject by rearranging
C = 180 – 141 – 3x
C = 39 – 3x
Next, we shall determine the value of x. This can be obtained as follow:
A = 2x + 108
B = x + 33
C = 39 – 3x
A + B + C = 180
2x + 108 + x + 33 + 39 – 3x = 180
2x + x – 3x + 108 + 33 + 39 = 180
3x – 3x + 180 = 180
3x – 3x = 180 – 180
3x – 3x = 0
x(3 – 3) = 0
x(0) = 0
x = 0
Finally, we shall determine C. This can be obtained as follow:
C = 39 – 3x
x = 0
C = 39 – 3(0)
C = 39 – 0
C = 39
To find the area of the given polygon, first we will join P and S .
So we have two figures here, a rectangle GPST, and a triangle , PES .
Area of rectangle is length times width .
For the given rectangle, area is GP times PS .
And for triangle , area is half of the product of height and base.
For the given triangle,
Total area of the polygon is the sum of areas of rectangle and triangle , that is
5(r+2) - 6
Apply the distributive property.
5*r = 5r
5*2 = 10
5r + 10 - 6
Combine like terms
10-6 = 4
5r + 4
Final answer: 5r + 4
Answer:
Step-by-step explanation:
Since it is an equilaterla triangle, we can see the side opposite to that of side length 4 is 60 degrees. Since the other angle is a right angle (90 degrees), we can find that the other side is 30 degrees (the degrees add up to 180). We can also see that this is a 30-60-90. We can see that the side x, through the identity (you can find 30-60-90 identity online), we see that the side x is . However, it is also asking us to simplify this, so we multiply the top and bottom by and get