Answer is B.
5√3(5+2√6)=
25√3+10√18=
25√3+30√2
Note: I multiplied 10 by 3, because the prime factors of 18 are 3, 3 and 2 so I made a pair from the 3 and multipled and was left with 2.
Answer:
Rational
Step-by-step explanation:
Answer:
7% and 5%
Step-by-step explanation:
The computation of the two rates of interest is shown below;
The interest rate for $3,000 be x%
And, for $4,500 the interest rate is (x -2%)
The total interest earned is
= x% of $4,500 + (x - 2)% of $4,500
So, the two rates of interest is
x% of $4,500 + (x - 2)% of $4,500 = $435
30x + 45(x - 2) = $435
30x + 45x - 90 = $43
75x = $25
x = 7%
x - 2 = 7 - 2
= 5%
The student made the mistake in Step 2.
It should be m∠o + m∠p = 180 (Supplementary angles)
If this is corrected, then, since m∠m + m∠n + m∠o = 180 from Step 1,
we have,
m∠m + m∠n + m∠o = m∠o + m∠p which is Step 3.
Cancelling m∠o both sides, we get,
m∠m + m∠n = m∠p which is Step 4.
