Answer:
8 ft
Step-by-step explanation:
the ladder will make a right angle triangle with the house. The hypotenuse of the triangle is the ladder, 20 ft, and the height of the triagnle is 18 ft.
Solve for the base of the right angle triangle using pythagorean's theorem:
c=20, a=18, b=?
![b^{2}=c^{2} - a^{2}\\b^{2}=20^{2} - 18^{2}](https://tex.z-dn.net/?f=b%5E%7B2%7D%3Dc%5E%7B2%7D%20-%20a%5E%7B2%7D%5C%5Cb%5E%7B2%7D%3D20%5E%7B2%7D%20-%2018%5E%7B2%7D)
![b=\sqrt{72}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7B72%7D)
![b= 8.49 ft](https://tex.z-dn.net/?f=b%3D%208.49%20ft)
round to the nearest foot,
b = 8 ft
Answer:
Step-by-step explanation:
Answer:
Therefore it is possible to find the circumference and area of a circle if we are given the radius or diameter of the circle.
Step-by-step explanation:
i) to find the area of a circle or circumference the radius , r, is required.
ii) if we are given the diameter, d. then we have to find the radius, r, by dividing the diameter by 2, that is
.
iii) area of the circle is given by A = ![\pi r^{2}](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D)
iv) circumference of the circle is given by C = ![2\pi r](https://tex.z-dn.net/?f=2%5Cpi%20r)
Therefore it is possible to find the circumference and area of a circle if we are given the radius or diameter of the circle.
Answer:
379.56 ft
Step-by-step explanation:
25 squared = 625
diameter of the half circle is 25
Diameter divided by 2 is radius
pi r squared is the formula for area of circle
r=12.5
pi * 12.5 squared
Assigning "a" as cost of adult tickets and "c" the cost of children's tickets.
3a + 4c = 107
2a + 3c = 76
elimination method
2(3a + 4c = 107)
-3(2a + 3c = 76)
6a + 8c = 214
-6a - 9c = -228
----------------------
0 - c = - 14
c = 14
Then 2a + 3(14) = 76
2a = 76 - 42
2a = 34
a = 34/2
a = 17