Step-by-step explanation:
let's look at the full numbers under the square roots when bringing the external factors back in :
sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)
and let's present these numbers as the product of their basic prime factors
sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)
now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.
let's combine these
sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)
and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :
9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =
= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)
and that is the first answer option.
Answer:
800m
Step-by-step explanation:
Answer:
the interest gathered on the loan is $250
Step-by-step explanation:
5% interest on $5,000 for one year would be $250
the total amount wlike be $5250 but the question seems to only ask for the interest
convert 5% to a decimal to multiply to find interest
0.05•5000 gives us the interest for the year
hope this helps <3
Answer:
theres an app thhat can help trust me i understand its hard lolll
Step-by-step explanation:
1. sector. If you draw it out, it is like a slice of a pie. When you think sector, think section.
2. A 60 degree sector is 1/6 of a circle which is 360 degrees. So the area is 1/6 * 42 = 7, so B
3. area = pi * r^2 = 3.14 * 3^2 = 28.27, which is closest to A
