Answer:
6 6/25
Step-by-step explanation:
6 24/100 = 6 (6·4)/(25·4) = 6 6/25
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You reduce a fraction by removing the common factors from numerator and denominator. Of course, you know that 0.24 is twenty-four hundredths, also written as 24/100.
The sum of the 5 terms in the arithmetic series is 40.
Step-by-step explanation:
Step 1; First we need to determine the three values between a1= -14 and a5=30. The difference between the first and fifth value = 30 - (-14) = 30 + 14 = 44.
Since there are 4 values after a1 we divide the difference by the number of terms, the difference between each term = 44 / 4 = 11. So the difference between each term is 11.
Step 2; To find out the terms we just add the difference to the previous number.
a1 = -14.
a2 = -14 + 11 = -3.
a3 = -3 + 11 = 8.
a4 = 8 + 11 = 19.
a5 = 19 + 11 = 30.
So a1 + a2 + a3 + a4 + a5 = -14 -3 + 8 + 19 + 30 = 40.
Answer:
1600
Step-by-step explanation:
Using the law of Cosine:
Cos(angle) = Adjacent Leg / Hypotenuse
Cos(65) = x / 81.9
x = 81.9 x cos(65)
x = 34.61
The answer is A.
The square root of 121 is 11
