The measure of the angle between the hypotenuse and the <em>short</em> leg is 60° and we can conclude that the side with length 10 is not the <em>long</em> leg of the 30 - 60 - 90 <em>right</em> triangle. (Right choice: False)
<h3>Is the length of a known arm in a 30 - 60 - 90 right triangle the long arm?</h3>
In accordance with geometry, the length of the <em>long</em> arm of a 30 - 60 - 90 <em>right</em> triangle is √3 / 2 times the length of the hypotenuse, the length of the <em>short</em> arm is 1 / 2 times the length of the hypotenuse and the length of the <em>long</em> arm is √3 times the length of the arm.
Thus, the measure of the angle between the hypotenuse and the <em>short</em> leg is 60° and we can conclude that the side with length 10 is not the <em>long</em> leg of the 30 - 60 - 90 <em>right</em> triangle. (Right choice: False)
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Answer:
See below
Step-by-step explanation:
Use the formulae directly
For a cone, with base radius = r and height = h, here are the related formula
(1)
(2)
(3)
Therefore directly plugging in the numbers in the above equations:
Note:
l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm
Figure(a)
r = 4, h = 8
Figure(b)
r = 7, h =15
Figure (c)
r = 5, l = 8
Answer:
Step-by-step explanation:
One day cost $18.50
So
Number of days * 18.50 = total cost
ANSWER:
The probability is 1/43680
STEP-BY-STEP EXPLANATION:
We have the following:
0. The probability that Morgan is chosen first = 1/16. Now there are 15 students left after this.
,
1. The probability that Harmony is chosen second = 1/15. Now there are 14 students left after this.
,
2. The probability that Kenny is chosen third = 1/14. Now there are 13 students left after this.
,
3. The probability that Ben is chosen fourth = 1/13.
Therefore, the required probability is:
You can use trig here - you want to know the angle opposite from the shortest side, which we'll call "A," and you have the sides that touch the right angle. side A (21 inches) and side B (25 inches) intersect at a right angle, so the side we're missing is the hypotenuse. the angle across from side A is angle "a" - now, since we know which side is the hypotenuse, we can figure out which trig function works here. angle "a" can be found by doing tan(a)=Opposite/Adjacent --> tan(a)=A/B --> tan(a)=21/25 --> a=tan^-1(21/25). a = 40.03 degrees