Angle OAB is a right angle, since line AB is tangent to the circle at A. Thus, triangle AOB is a right triangle.
Applying the Pythagorean Theorem: 5^2 + 12^2 = |OB|^2
Then |OB|^2 = 13^2, and |OB| = 13.
We find x by subtracting |OC| from 13: 13 - 5 = 8.
Line segment has length 8; x = 8.
Answer:
Length of the room is 180 ft
Step-by-step explanation:
We have a rectangular room with dimensions:
width = 70 ft and length "x" (unknown)
Perimeter of a rectangle is 2*w + 2*x and according to problem statement 500 ft of lights will fit exactly in room perimeter then:
2*70 + 2*x = 500
140 + 2*x = 500
2*x = 500 - 140
2*x = 360
x = 360/2
x = 180 ft
6 groups of 18 buttons would translate into multiplication.
6 x 18 = 108 buttons total that Malia has.
Answer:
500 1/8" (500.125 inches)
Explanation and steps to the expressions are marked in order in the images below.
1. Answer is 3z/2 + 4
2. Answer is 5.8m
3. Answer is n + 5
4. Answer is 15q
5. Answer is 10x + 1/2 + y
6. Answer is 8z + 4.2
The maximum is five images, so I cannot add the last explanation and steps for the last expression.
