of the class consists of freshmen.
Step-by-step explanation:
Given,
Total number of students = 40
Number of freshmen = 18
Number of sophomores = 19
Number of juniors = 3
Fraction of freshmen = 
Fraction of freshmen = 
Fraction of freshmen = 
of the class consists of freshmen.
Keywords: fraction, division
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Answer: D) 155
Step-by-step explanation:
let <A, <B,<C are three angles in a triangle.
sum of the three angles in a triangle is 180degree.
<A+<B+<C=180
130+<B+<C=180 since one angle is given
<B+<C =180-130
<B+<C=50
(<B+<C)/2=25----(1)after bisecting sum of the angles
required angle =180-25=155
d is correct answer
Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.
Quick note
We can use a formula to find out the sum of an arithmetic series:

Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.
Answer:
Step-by-step explanation:
Let h bet the height of the building.
Mark is 60+310 = 370 m from building.
35/60 = h/370
h = 1295/6 = 215⅚ meters
Answer:

Step-by-step explanation:
To evaluate
, substitute
to
so we should have:

Evaluate the expression and finally, we have:

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