Ella’s test grades in her history class are 89, 94, 82, 84, and 98. What score must Ella make on her next test to have a mean te
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Answer:
The sum of all positive integers less than 100, which are not divisible by 3 is 3267.
Step-by-step explanation:
The all positive integers less than 100 has sum, given by
S₁ = 1 + 2 + 3 + 4 + ......... + 99
⇒ S₁ =
Now, the sum of all positive integers less than 100 which are divisible by 3 is
S₂ = 3 + 6 + 9 + 12 + 15 + ........ + 99
⇒ S₂ = 3(1 + 2 + 3 + ........ + 33)
⇒ S₂ =
Therefore, the sum of all positive integers less than 100, which are not divisible by 3 is = S₁ - S₂ = 4950 - 1683 = 3267. (Answer)
Note : The sum of n natural numbers S is given by
S = 1 + 2 + 3 + 4 + ....... + n = .
The first drop-down menu answer is 63.9 And the second drop-down menu answer is 116.1
The complete question is as given below:-
The angle by which turns clockwise about point B to coincide with is degrees. If from point B, a point E is drawn directly opposite point C so that B, E, and C are on the same straight line, the angle by which turns counterclockwise to coincide with is degrees.
<h3>What is an angle?</h3>The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
I have attached the figure for this problem and there are two questions for this problem. The first is the angle needed for AB to turn to coincide with BC.
Simply, get add the measures of the angles ABD and DBC. So,
33.3 + 30.6 = 63.6 degrees
The second question is the angle needed for AB to turn to coincide with EB. Angle EBA is complementary with angle ABC. So,
180 - 63.6 = 116.4 degrees
Therefore for first drop-down menu answer is 63.9 And the second drop-down menu answer is 116.1
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