Answer:
9 cm
Step-by-step explanation:
Circumference of a circle is given by
C = pi * 2 *r
18 pi = pi * 2 *r
Divide each side by pi
18 = 2 r
Divide each side by 2
18/2 = 2r/2
9 = r
The radius is 9 cm
Answer: 15 1/2
Step-by-step explanation: There are two 1/2 s so 1/2 + 1/2 is 2/2 or 1 whole. Next is 1. There are 4 ones. 1+1+1+1 = 4. There is one 1 1/2. There are two 2. 2+2 is 4. There are two 2 1/2 so 2 1/2 + 2 1/2 is 4 2/2 which is 5. Now you have to add all the answers together. 1 +4+ 1 1/2 +4+5 which is 15 and 1/2. 15 1/2 is the answer.
Answer:The domain includes all of the 'X' values in the function which is this case is all X values that are members of the reals between negative infinity to positive infinity. The range is the set of 'y' values that result from the given domain
step-by-step explanation:
Hope it helps!
Answer:
x = 16 2/3
Step-by-step explanation:
The two triangles in the picture are <em>similar</em>, which means that the corresponding side lengths on each of them are proportional - the ratios between them are equal to each other.
On the larger triangle, let's pick the pair of lengths 25 and 39. The corresponding pair on the triangle has the lengths x and 26. Similarity then tells us that the ratios, 25/39 and x/26, are equivalent. All that's left to do now is set up an equation and solve for x:
multiplying both sides of the equation by 26 gives us
We can do a little reduction here: 26 and 39 have a common factor of 13, and since 26 = 13 x 2 and 39 = 13 x 3, the expression on the left reduces to
We can rewrite 25/3 as the mixed number 8 1/3, making our equation
So finally, we have
Area of outside square = 10 x 10 = 100 square inches.
The shaded portion because the points are the midpoints of the larger lines is half the area.
Shaded square is 50 square inches.