The area of the square is 9 in^2
The side of a square is the square root of the area.
Side of square = √9 = 3 inches.
The side of the square is the diameter of the inscribed circle.
Circumference of a circle is PI x diameter.
Circumference of inscribed circle = 3.14 x 3 = 9.42 inches
The diameter for the circumscribed circle would be the diagonal of the square which is 3√2 = ( Side length x √2) ≈ 4.2426
The circumference = 3.14 x 3√2 = 13.321
Find the ratio between the two circles:
Circumscribed / inscribed =
13.321 / 9.42 = 1.41
Answer:
The slope:

Step-by-step explanation:
-To determine the slope of the following points shown, you need this formula:

(
represents the slope,
represents the first coordinate and
represents the second coordinate)
-Apply the following points to the formula:

Then, solve:


So, the slope is
.
C or the third option, Both students are correct; the slope should be –1, passing through (4, 2) with a y<span>-intercept of 6.</span>
Answer:
2·x²+4
Step-by-step explanation:
The sum is an answer to an addition problem and 2 times a number means to multiply by 2. That number is squared so you it's to the second power.
Sol. (1) Prime factors of 26 = 2 x 13
Prime factors of 91 = 7 x 13
Hence, HCF = Common factors between 26 and 91 =13 and LCM=13x2x7=182
Now product of numbers 26 and 91
= 26 x 91 = 2366 and Product of HCF and LCM = 13 x 182 = 2366
So, it verify that product of two numbers = Product of HCF and LCM.
(2) Prime factors of 510 = 2 x 3 x 5 x 17
Prime factors of 92 = 2 x 2 x 23
Hence,HCF=2 and LCM=2×2×3 × 5×17×23 =23460
Now product of Numbers 510 and 92 = 46920 and product of HCF and LCM = 2 x 23460= 46920
Hence, verified that product of two numbers 18 equal to product of their HCF and LCM.
(3) Prime factors of336 = 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 54 = 2 x 3 x 3 x 3
Hence, HCF (Product of common factors of 336 and 54)
=2 x 3=6
And LCM (Product of all common factors with remaining factors)
=(2 x 3)x 2 x 2 x 2 x 3 x 3 x 7=3024
Now, product of numbers 336 and 54 = 336 x 54 = 18144
and product of HCF and LCM = 6 x 3024 = 18144
Hence, product of two numbers: Product of HCF and LCM.