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frutty [35]
3 years ago
11

Helppppppppppppp ASAP

Mathematics
2 answers:
zvonat [6]3 years ago
8 0
Option c because I took the test
Ivan3 years ago
6 0

The formula for N choose K is given as:

C(n, k)= \frac{n!}{[k!(n-k)!]  }

Where,

n is the total numbers.

k is the number of the selected item.

Options C is correct.

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ΔABC has three sides with these lengths: AB = 9, BC = 40, and CA = 41. What is the value of cos C?
kotykmax [81]

Answer:

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

Step-by-step explanation:

To find the cos (C) we must use the cosine theorem.

The cosine theorem says that:

c^2 = a^2 +b^2 -2abcos(C)

In this case:

c=AB = 9

b=CA = 41

a=BC = 40

So

9^2 = 40^2 +41^2 -2(40)*(41)cos(C)

9^2- 40^2- 41^2 =-2(40)*(41)cos(C)

cos(C) = -\frac{9^2- 40^2- 41^2}{2(40)*(41)}

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

7 0
3 years ago
When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was 3/7 of the tank's capacity. what was th
ki77a [65]

Answer:

Step-by-step explanation:

"When 200 gallons of oil were removed from a tank" algebraically looks like this:

V - 200.

"...the volume of oil left in the tank was 3/7 of the tank's capacity" algebraically looks like this:

3/7(V)

Therefore, the equation is

V - 200 = 3/7(V)

Begin by multiplying both sides by 7:

7(V - 200) = 3V and

7V - 1400 = 3V so

-1400 = -4V so

V = 350 gallons

That's if the volume of the oil in the tank was 3/7 of the tank's capacity.

For the other part of the problem, we set up the equation almost the same, except the 3/7 is a 1/2:

V - 200 = 1/2(V)

Multiplying both sides by 2 gives you

2(V - 200) = V and

2V - 400 = V so

-400 = -V so

V = 400

7 0
3 years ago
Add the two expressions <br> -4.2x+3 and 2.5x-6<br><br><br> please help me with this
dalvyx [7]

-1.7×-6 is the answer. Hope this helps.

6 0
3 years ago
Read 2 more answers
Please help me. 20 POINTS​
Serhud [2]

Answer:

No. Angle 1 is an obtuse angle while angle 2 is an acute angle. obtuse angles are more than 90 degrees, which is more than an acute angle's less than 90 degrees.

Step-by-step explanation:

7 0
3 years ago
The temperature is -2°C. If the temperature rises by 15°C, what is the new temperature?
Furkat [3]

Answer:

13 C

Step-by-step explanation:

15-2=13

8 0
3 years ago
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