Answer:
Step-by-step explanation:
DISTANCE FORMULA
D=(SQRT(X2-X1)^2+(Y2-Y1)^2)
SQRT(1-(-1))^2+(3-(-1)^2)
SQRT((2)^2+(4)^2)
SQRT(4+16)
SQRT(20)
2SQRT(5)
Answer: x is 9° , y is 21°. The measure of angle ABE is 48°.
Step-by-step explanation:
First we will solve for x.
The variable x appears in the angle 8x + 18 and that angle is a right angle.
Right angles have the measure of 90 degrees so we will set the angle equal 90 and solve for x.
8x + 18 = 90 Subtract 18 from both sides
- 18 -18
8x = 72 divide both sides by 8
x = 9
y is also on the right side and the combination of both angles has to also equal 90 degrees because they form a right angle.
Since we already know x is 9 we will input it into the left side for x and solve for y.
y + 3(9) + 2y = 90
3y + 27= 90
-27 -27
3y = 63
y = 21
Now we need to find the measure of angle ABE.
ABE is represented by y + 3x so since we know the value of y and x we will input it into the expression and solve for the angle.
21 + 3(9) = m∠ABE
21 + 27= m∠ABE
48 = m∠ABE
This means the measure of angle ABE is 48°
Answer:
a)
b)
c)
Step-by-step explanation:
The problem states that there is a 97% probability that a parts inspected is classified correctly. So, there is a 3% probability that a part inspected is not classified correctly.
So
(A) x = 0, f(x) = ?
What is the probability that each part is not classified correctly?
There is a 0.0027% probability that no part is classified correctly
(B) x = 1, f(x) = ?
What is the probability that exactly one part is classified correctly?
We have to take into account that it may be the first part classified correctly, the second or the third. So we have to permutate. We have a permutation of 3 parts with 1(classified correctly) and 2(classified incorrectly) repetitions.
So
There is a 0.2619% probability that no part is classified correctly.
(C) x = 2, f(x) = ?
What is the probability that exactly two parts are classified correctly?
We also have the permutation of 3 parts with 2 and 1 repetitions.
So:
There is a 8.4681% probability that exactly two parts are classified correctly.
(D) x = 3, f(x) = ?
There is a 91.2673% probability that every part is classified correctly
Explanation:
The formula for law of cosines is:
This is written at the top of your paper.
The angle is substituted where the capital A is. The side opposite to the angle is the angle name's lowercase. The two other sides are b and c.
Substitute all the information you know, then isolate the variable that you do not know.
When your formula is rearranged to look like this:
Solve the left side and punch into your calculator:
cos⁻¹(left side) to find the angle A.