Find the area of each triangle. 1.) Show your work.
1 answer:
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Answer:
1).
2).
Step-by-step explanation:
First term of an arithmetic sequence is (-1) and common difference is 5.
Then we have to find twenty fifth term of this arithmetic sequence.
Since explicit formula of an arithmetic sequence is represented by
Where represents nth term of the sequence.
a = first term
n = number of term
and d = common difference
Now we will find 25th term of this sequence.
= (-1) + 120
= 119
Similarly in second part of this question we have to find first three terms of an arithmetic sequence in which
and
Now from the explicit formula
17 = a + (21 - 1)d
17 = a + 20d --------(1)
75 = a + (50 - 1)d
75 = a + 49d --------(2)
Now we subtract equation 1 from 2
75 - 17 = 49d - 20d
29d = 58
d =
By putting d = 2 in equation 1
17 = a + 20×2
17 = a + 40
a = 17 - 40
a = -23
Therefore, first three terms of this sequence will be
Answer: a) 0.545,b) 0.41, c) 0.045, d) not possible.
Step-by-step explanation:
The Sky Ranch is a supplier of aircraft parts. Included in stock are 10 altimeters that are correctly calibrated and two that are not. Three altimeters are randomly selected without replacement. Let the random variable
x represent the number that are not correctly calibrated.
Complete the probability distribution table.
x={0,1,2,3}
P(x=0)=?
P(x=1)=?
P(x=2)=?
P(x=3)=?
Since we have given that
n = 12
number of good one = 3 from 10
number of bad one = 2
So, P(X=0)=
P(X=1) =
P(X=2)=
P(X=3) is not possible.
Hence, a) 0.545,b) 0.41, c) 0.045, d) not possible.
ANSWER
EXPLANATION
We have that the shaded sector is subtended at 210 degrees at the center of the circle that has a radius of 12 inches.
The area of a sector is given as:
where A = angle the sector subtends at the circle's center
So, we have that:
That is the answer.