Draw a perpendicular from the center of the
circle to the midpoint of a side of the triangle.
Now draw a line from the center to the vertex
of that side. You now have a right triangle with
a base angle of 30º, side adjacent to that angle
of 3, and hypotenuse = r, the radius of circle. So,
cos 30º = 3/r, r = 3.46, the diameter
is twice that, 6.92 round to 6.9
Answer:
x represent the value loaned at 15% and y represent the value loaned at 10%.
and 
Step-by-step explanation:
We are going to write a system of two linear equations. The first equation will represent the total amount loaned.
Now the second equation are will represent the interest earned for both loans.
Then x represent the value loaned at 15% and y represent the value loaned at 10%. Now solving the equation system we have:
using this in the other equation to find y
With the value of y we can find x
12.3 x 3.1= 38.13 Now go to bed lol
Answer:
S1) False. 2³ is 2 × 2 × 2 which is <u>8, not 6.</u>
S2) False. ( 2x / 3y ^ (2) ) ^ (3) =
( (2x) ^ (3) / ( (3y) ^ (2) ) ^ (3) ) = (2)³ × (x)³ / (3)³ × (y²)³ = 8 × x³ / 27 × y<u>⁶</u> = 8x³ / 27y<u>⁶</u><u>.</u>
<u>i.e </u><u>(</u><u>a^</u><u>b</u><u>)</u><u>^</u><u>c</u><u> </u><u>=</u><u> </u><u>a^</u><u>(</u><u>b </u><u>×</u><u> </u><u>c)</u><u>.</u>
S3) True.
S4) True.
S5) False. x^(-3) = 1 / x^(3) ≠ 1 / 3x
The answer would be y=42x
