5/2=2 1/2 + 2/5 = 2.9 = 2 9/10
The number of ways that Grant can arrange 3 of the 10 plants is<u> 120 ways</u> and the number of ways that 4 floats out of 8 can be arranged is 70 ways.
<h3 /><h3>How can these combination problems be solved?</h3>
Grant can arrange 3 out of 10 plants in the following number of ways:
= 10!/ ((10! - 3!)3!)
= ( 10 x 9 x 8) / (3 x 2)
= 120 ways
The parade organizer can arrange 4 floats out of 8 as:
= 8!/((8! - 4!)4!)
= (8 x 7 x 6 x 5) / (4 x 3 x 2)
= 70 ways
When 4! is written in expanded form, it comes out as:
= (4 x 3 x 2)
Find out more on combinations at brainly.com/question/4658834.
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22 is the correct answerhope this helps you alot
<h3>
Answer: Choice A) 6.8 inches</h3>
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Explanation:
It's a bit strange why your teacher has the "26 degree" label pointing at a side length, rather than an actual angle. I'm assuming your teacher meant to aim it at angle C. In other words, I'm assuming they meant to say angle C = 26 degrees.
If that assumption is correct, then,
A+B+C = 180
38+B+26 = 180
B+64 = 180
B = 180-64
B = 116
Then we can use the law of sines like so:
a/sin(A) = b/sin(B)
a/sin(38) = 10/sin(116)
a = sin(38)*10/sin(116)
a = 6.84986152123146
a = 6.8
Side 'a' is approximately 6.8 inches long. So that's why the answer is choice A.