Answer:
120
Step-by-step explanation:
The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,
⇒ 5! / (5-5)!
⇒ 5! / 1!
⇒ 5!
⇒ 5 × 4 × 3 × 2 × 1
⇒ 120
<h3>
<u>Hence </u><u>there</u><u> </u><u>are</u><u> </u><u>1</u><u>2</u><u>0</u><u> </u><u>ways</u><u> </u><u>by</u><u> </u><u>which </u><u> 5 friends sit together at the movies in 5 seats</u><u>. </u></h3>
Answer:
sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5
Step-by-step explanation:
We need to find sine, cosine, and tangent of theta for this triangle.
First, define the different trigonometric functions:
- sine is opposite side to the angle divided by the hypotenuse (longest side not adjacent to the 90 degree angle)
- cosine is the adjacent side next to the angle divided by the hypotenuse
- tangent is the opposite side to the angle divided by the adjacent side
Now, look at theta (θ):
- the opposite side is marked 12
- the adjacent side is marked 5
- the hypotenuse is marked 13
So:
- sin(θ) = opposite / hypotenuse = 12/13
- cos(θ) = adjacent / hypotenuse = 5/13
- tan(θ) = opposite / adjacent = 12/5
Thus the answers are: sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5.
<u>Given:</u>
An isosceles trapezoid has a perimeter of 37 centimeters. Its shorter base measures 3 centimeters and its longer base measures 4 centimeters. The two remaining sides have the same length.
We need to determine the lengths.
<u>Length of the remaining sides:</u>
Let the length of the sides of the isosceles trapezoid be x.
Let a be the length of the shorter base.
Let b be the length of the longer base.
Thus, we have;

The formula to determine the length of the sides is given by

Substituting the values, we get;




Thus, the length of the sides of the isosceles trapezoid is 15 centimeters.
B. 6x^3 -5x^2
hopefully this helps :))
Answer:
17/25
Step-by-step explanation:
We assume you want the sum ...
4/50 + 3/5
= (2·2)/(25·2) + (3·5)/(5·5)
= 2/25 + 15/25
= 17/25
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<em>Comment on the question</em>
We prefer math symbols:
4/50 + 3/5 = ??
or, if you can't manage that, proper English:
four fiftieths plus three fifths.