Answer:
Option 3.
Step-by-step explanation:
It is given that a triangle sits on a line and forms 2 exterior angles on the left and right of the triangle of (2h) degrees.
The top interior angle of the triangle is 40 degrees.

From the given figure it is clear that
(Supplementary angle)

(Supplementary angle)

According to the angle sum property of triangle, the sum of all interior angles of a triangle is 180 degree.
Combine like terms.
Divide both sides by -4.

The value of h is 55.
Therefore, the correct option is 3.
Answer: B- Flipping two coins once
Step-by-step explanation:
Given:
standard deviation = 4.3%
sample size = 15
mean = 26.4%
error = σ/√n
error = 4.3% / √15
error = 4.3% / 3.873
error = 0.0111
0.0111 x 100% = 1.11%
I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture.
The hypotenuse is 9 cm. the angle is found by:
the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60
so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm.
cos 60 = x/9
9 cos 60 =x
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x = 4.5 cm
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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This is something you'll need a T table for, or a calculator that can compute critical T values. Either way, we have n = 10 as our sample size, so df = n-1 = 10-1 = 9 is the degrees of freedom.
If you use a table, look at the row that starts with df = 9. Then look at the column that is labeled "95% confidence"
I show an example below of what I mean.
In that diagram, the row and column mentioned intersect at 2.262 (which is approximate). This value then rounds to 2.26
<h3>
Answer: 2.26</h3>