$1.75 by 5 is equal to $8.75. And if you were to do by 6 it would be 50 cents over. So Max can only buy 5 caramel apples.
Answer:
The area of a regular polygon is A = (1/2)ap, where a is the apothem and p is the perimeter of the polygon.
The apothem is 8 inches and the perimeter is 6(7) = 42 since there are 7 sides of 6 inches.
Then the area is
A = (1/2)(8)(42) = 336/2 = 168 in2
I hope this helped!
Step-by-step explanation:
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Answer:
154.10 Feets
Step-by-step explanation:
Given the following :
Height (h) of cliff = 320 feet
Angle of depression of near side = 16.5°
Angle of depression of far side = 10.5°
Using trigonometry :
We can obtain x and y as shown in the attached picture :
Tanθ = opposite / Adjacent
Adjacent = height of cliff = 320 Feets
For the near side :
Tanθ = opposite / Adjacent
Tan (16.5°) = x / 320
0.2962134 = x / 320
x = 0.2962134 * 320
x = 94.788318 Feets
For the far side :
Tanθ = opposite / Adjacent
Tan (10.5°) = x / 320
0.1853390 = x / 320
x = 0.1853390 * 320
x = 59.308494 Feets
Length of island = (59.308494 + 94.788318) feet
= 154.10 Feets
The scale factor would be 1.25 because each segment is the same in this triangle
Answer:
y = 16
Step-by-step explanation:
The slope of GH is ...
G -H = (14, 11) -(8, -13) = (6, 24) = (Δx, Δy)
slope = Δy/Δx = 24/6 = 4
The perpendicular line through F will have a slope of the negative reciprocal of this, or -1/4. The point-slope form of the equation can be written as ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
The perpendicular line through F is then ...
y -13 = (-1/4)(x -6)
For an x-value of -6, the value of y will be ...
y = (-1/4)(-6 -6) +13 = 12/4 +13 = 16
The value of y so that EF is perpendicular to GH is 16.