Answer:
A
Step-by-step explanation:
To find the angle inside the triangle (to the right side of 90 degree angle), we first have to find the adjacent angle (below it).
Angle 122 and that adjacent angle is same (parallel lines cut by transversal -- they are corresponding angles).
So that angle is 122.
The inside triangle angle (what we want) is adjacent to 122, so we can write:
Angle + 122 = 180 [straight angle/straight line is 180 degrees]
Solving for that angle, we have:
Angle = 180 - 122 = 58
Now, looking at the triangle, Side C is "opposite" of 58° and side "20" is the side that is "hypotenuse" [side opposite of 90 degree angle is hypotenuse).
<em>Which trig ratio relates "opposite" and "hypotenuse"??</em>
<em>Yes, it is SIN. Thus we can write:</em>
<em>
</em>
<em />
<em>We can now solve for C:</em>
<em>
</em>
<em />
<em>Correct answer is A</em>
Answer:
0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.
This means that 
Find the probability that one selected subcomponent is longer than 118 cm.
This is 1 subtracted by the pvalue of Z when X = 118. So
has a pvalue of 0.6443
1 - 0.6443 = 0.3557
0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.
Okay, so how I solve this answer is by first figuring out how many people didn't know the name.
So, If 80% of 1,000 didn't know the name that means 800 people did not know the name.
(1000 x .8 = 800)
Then you take the total number of people, 1000, minus the people who did not know the name, 800, and you get the total number of people who did know the name which is;
(1000-800=200)
200 people knew the name of the congressman.
Some of the businesses are successful in keeping government away from their affairs, by giving money to the Congress secretly.
<u>Explanation:</u>
Businesses which come to the attention of the government are those which doesn’t go by the rules or get flagged for not abiding by the rules. As the amendments in the policies are made modified time to time to serve the best interest of the public which needs to be followed very well.
But the business cannot be swapped overnight each time as it causes great damage to the structure of the business, so the business sort another way of settling the Congress by giving off money.
Answer:
Center: (-4, 1)
Radius: √2
Explanation:
Circle general equation is represented by (x - h)² + (y - k)² = r²
where (h, k) is the center and "r" resembles radius
To write in general equation form, start completing square:
x² + y² + 8x -2y + 15 = 0
x² + 8x + y² - 2y + 15 = 0
(x + 4)² - 4² + (y - 1)² - (-1)² + 15 = 0
(x + 4)² + (y - 1)² - 16 - 1 + 15 = 0
(x + 4)² + (y - 1)² - 2 = 0
General equation form:
(x - (-4))² + (y - 1)² = (√2)²
From here, comparing with the formula equation.
It is determined: center: (-4, 1) and radius: √2
