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lidiya [134]
3 years ago
8

Evaluate 11p4 and 9c5

Mathematics
1 answer:
MariettaO [177]3 years ago
7 0
\bf _{n}P_{r}=\cfrac{n!}{(n-r)!}\qquad \qquad _{11}P_4=\cfrac{11!}{(11-4)!}
\\\\\\
_nC_r=\cfrac{n!}{r!(n-r)!}\qquad \qquad _9C_5=\cfrac{9!}{5!(9-5)!}



check your calculator on the factorial(!) button.
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Which molecule activates light reactions
natta225 [31]

Answer:

Step-by-step explanation:

The light-dependent reactions use light energy to make two molecules needed for the next stage of photosynthesis: the energy storage molecule ATP and the reduced electron carrier NADPH. In plants, the light reactions take place in the thylakoid membranes of organelles called chloroplasts.

5 0
3 years ago
Please help me out :P
Veseljchak [2.6K]

cos θ = \frac{-4\sqrt{65} }{65}, sin θ = \frac{-7\sqrt{65} }{65}, cot  θ  = 4/7, sec  θ = \frac{-\sqrt{65} }{4}, cosec  θ  = \frac{-\sqrt{65} }{7}

<h3>What are trigonometric ratios?</h3>

Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin θ: Opposite Side to θ/Hypotenuse

Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos

Cos θ: Adjacent Side to θ/Hypotenuse

Sec θ: Hypotenuse/Adjacent Side & 1/cos θ

Analysis:

tan θ = opposite/adjacent = 7/4

opposite = 7, adjacent = 4.

we now look for the hypotenuse of the right angled triangle

hypotenuse = \sqrt{7^{2} + 4^{2} } = \sqrt{49+16} = \sqrt{65}

sin θ = opposite/ hyp = \frac{7}{\sqrt{65} }

Rationalize, \frac{7}{\sqrt{65} } x \frac{\sqrt{65} }{\sqrt{65} } = \frac{7\sqrt{65} }{65}

But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.

Therefore, sin θ = - \frac{7\sqrt{65} }{65}

cos   θ  = adj/hyp = \frac{4}{\sqrt{65} }

By rationalizing and knowing that cos  θ  is negative, cos θ  = -\frac{-4\sqrt{65} }{65}

cot θ  = 1/tan θ  = 1/7/4 = 4/7

sec θ  = 1/cos θ  = 1/\frac{4}{\sqrt{65} } = -\frac{-\sqrt{65} }{4}

cosec θ  = 1/sin θ  = 1/\frac{\sqrt{65} }{7} = \frac{-\sqrt{65} }{7}

Learn more about trigonometric ratios: brainly.com/question/24349828

#SPJ1

5 0
1 year ago
A rug maker is using a patter that is a rectangle with a length of 96 inches and a width of 60 inches. the rug maker wants to in
dexar [7]
Recall that the formula for the perimeter of a rectangle is: 2Length+2Width
With this in mind, we have that the original design is 96×60, where 90 is length and 60 is width, so it would simply be:
2(96+l) + 2 (60+w) = New Perimeter
Or simplified, it'd be:
2l + 2w + 312 = New Perimeter
8 0
3 years ago
Carlos has been given a list of 5 bands and asked to place a vote. His vote must have the names of his favorite, second favorite
Alex_Xolod [135]

Answer:

25

Step-by-step explanation:


8 0
3 years ago
Using​ 45-in. fabric, Regan needs 2 and one fourth yd for a​ dress, one fourth yd of contrasting fabric for the band at the​ bot
Arte-miy333 [17]

Answer:

7\dfrac14$ yards

Step-by-step explanation:

Regan needs the following:

2\dfrac{1}{4} yards for a​ dress

\dfrac{1}{4}$ yards of contrasting fabric for the band at the bottom$\\4\dfrac{3}{4}$ yards for a coordinating jacket.

Total Length of fabric needed

= 2\dfrac{1}{4}+\dfrac{1}{4}+4\dfrac{3}{4}\\=2+4+\dfrac{1}{4}+\dfrac{3}{4}+\dfrac{1}{4}\\=6+1+\dfrac{1}{4}\\=7\dfrac{1}{4}$ yards

The number of yards of 45-in. fabric needed is 7\dfrac14$ yards.

4 0
3 years ago
Read 2 more answers
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