Step-by-step explanation:
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Answer:
1 7/18
Step-by-step explanation:
5/9 + 5/6 write all numerators above the least common denominator which is 18.
10+15/18 then you add the numerators which will make it 25/18 which alternative form will be 1 7/18, or in decimal 1.38
Answer:
If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.
We also know that Pythogoras' theorem only holds for right angled triangles.
The hypotenuse is 12 + 8 as 12 is the radius so is 20.
16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.
A full circle in radians is 2π, and in degrees it's 360°. I want to convert the 72° to radians:
72° in radians = 72/360 * 2π = 2/5π
The circumference of a full circle is the number of radians times the radius. (ie., 2πr), so the JK part of the circle is:
5* 2/5π simplifies to 2π
Answer: 5.76 miles
Step-by-step explanation:
Let the distance between Victoria and Georgetown on the map be represented by x.
The information given in the question can then be formed into an expression which will be:
0.9/x = 10.5/67.2
Cross multiply
(10.5 × x) = 67.2 × 0.9
10.5x = 60.48
x = 60.48/10.5
x = 5.76
The answer is 5.76 miles