Answer:
50; 72; 8; 57.9
Step-by-step explanation:
1. sqrt((30/2)^2 + (20)^2) = sqrt(15^2 + 20^2) = sqrt(225 + 400) = sqrt(625) = 25 (radius) * 2 = 50 (diameter)
2. 360 (degrees in a circle)/5 (sides in a pentagon) = 72 degrees
3. 360 (degrees in a circle)/x (sides) = 45 --> 360/45 = x --> 8 sides = x
4. sqrt(7^2 + (12/2)^2) = radius --> sqrt(49 + 36) --> sqrt85 * 2pi = circumference --> 57.9281062 = circumference --> 57.9
So 8x+4+4x+8=15x-9
Combine like terms.
12x+12=15x-9
Add 9 to both sides.
12x+21=15x
Subtract 12 from both sides.
21=3x
Divide both sides by 3.
x=7
Now plug in 7 for x in 8x+4.
8(7)+4
56+4
=60
I think that 3 rolls is wrong and that 6 rolls is right. If you create a 15 by 15 square and draw two lines through the center that connect to the opposite corner, you'll be able to use the Pythagorean Theorem.
Perimeter: 15+15+15+15=60ft.
Length of Line from Corner to Corner:
(15)(15)+(15)(15)=C^2
225+225=C^2
450=C^2
21.2=C
21.2(2)= 42.4ft.
42.4ft.+60ft.= 102.4ft.
102.4ft. divided by 20ft. = 5.12 = <u>6 rolls</u>
The mess up occurs in one of the first things she says. She first claims that 7^2 +25^2 = 24^2
Wait a minute... slow your roll there.
25 is the hypotenuse, or the longest side of the triangle AND opposite the right angle (but we aren't supposed to know that yet).
The Pythagorean Theorem holds that a^2 + b^2 = c^2, where a & b are the legs of the triangle & c is the hypotenuse. So, she got the formatting correctly, but she switched 24 & 25.
Hope this helps!
Answer:
x = 1
Step-by-step explanation:
