Answer:
Solution given:
b=9 base side of isosceles triangle
a=
In the beginning number of students are 18 .
And each year they increase by 2, that is
18 , 18+2, 18+2+2 , 18+2+2+2,.......
So the series is in arthmetic progression, where first term is 18 and common difference is 2 .
To find the 25th term, we will use the following formula
a(n) = a + (n-1)d = 18+(25-1)*2 = 18 + 48 = 66
And to find the sum , we will use the following formula
S = 0.5 n (a+l), where l is the last term which is 66.
S =0.5*25(18+66) = 1050
Correct option is the third option .
The answer is 9+10 your answer should be solved
Answer:
P = 0.041553
Step-by-step explanation:
Probability that a student considers calculus exciting. = 0.84
Probability that a student finds calculus not exciting = 0.16
This is a binomial experiment.
p = 0.84 and n = 29
The probability of observing 28 or more of the students who consider calculus to be an exciting subject in our sample of 29 is given by:
P = 0.041553
Answer:
A diagonal of this rectangle has length 10.
Step-by-step explanation:
The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4). These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.
Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4). To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.
Thus, the width of the rectangle is 6 and the length is 8.
Using the Pythagorean Theorem, we find the length of a diagonal as follows:
d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.
A diagonal of this rectangle has length 10.