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alekssr [168]
2 years ago
10

Use: Ck = k! (n-k)!

Mathematics
1 answer:
Arlecino [84]2 years ago
5 0

Answer:

3 ways.

Step-by-step explanation:

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

2 meats from a set of 3(steak, fish or chicken). So

C_{3,2} = \frac{3!}{2!1!} = 3

3 ways.

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Find the approximate length of the hypotenuse of a right triangle with leg lengths 8.4cm and 7.6 cm.
GaryK [48]

Answer:

11.3

Step-by-step explanation:

A Right Angled Triangle obeys the Pythagorean Theorem. According to the theorem:

The square of Hypotenuse is equal to sum of squares of both the legs. In equation form we can write this as:

\textrm{Hypotenuse}^{2}=\textrm{(Leg 1)}^{2}+\textrm{(Leg 2)}^{2}

We are given the length of the legs to be 8.4 cm and 7.6 cm.

Using these values, we get:

\textrm{(Hypotenuse)}^{2}=(8.4)^{2}+ (7.6)^{2} \\\\\textrm{(Hypotenuse)}^{2}=128.32

By taking square root of both sides we can find the length of Hypotenuse.

\textrm{Hypotenuse}=\sqrt{128.32} \\\\ \textrm{Hypotenuse}=11.3

Therefore, the approximate length of the hypotenuse will be 11.3 cm, rounded of to one decimal place.

3 0
3 years ago
Tina wants to save money for school. Tina invests $1,000 in an account that pays an interest rate of 8%. How many years will it
AVprozaik [17]
<span> it takes 3.41 years to get $1300 at an interest rate of 8% from an initial amount of $1000</span>
3 0
2 years ago
Wanda did 12 push-ups on Saturday, 24 push-ups on Sunday, 48 push-ups on Monday, and
Eva8 [605]

Answer:

2x

Step-by-step explanation:

Each number is mutiplied by 2

4 0
3 years ago
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3 0
3 years ago
29 If we round to 1 significant figure, sound travels at a speed of approximately 0.3 kilometers per second, while light travels
MrRissso [65]

Answer:

3 x 10^-1 km per second.

Step-by-step explanation:

A scientific notation includes c x 10^n. c is a number between 1-9, and n is the nth power of 10.

If we move the decimal in 0.3 to the right by 1 place, we can get "c", which will be 3. Since we have moved the decimal to the right, each place moved right counts as -1 for n.

So, the answer is 3 x 10^-1 km per second.

7 0
2 years ago
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