All categories

2 years ago

Given the kite below, if NO = 5 and OM = 12, what is the value of NM?

Mathematics

1 answer:

tester [92]2 years ago

6 0

Answer:

NM = 13

Step-by-step explanation:

pythagorean theorem: $a^{2} + b^{2} = c^{2}$

a or NO = 5

b or OM = 12

c or NM = ?

plug in what is known:

⇒ $5^{2} + 12^{2} = c^{2}$

⇒ $25 + 144 = c^{2}$

⇒ 169 = $c^{2}$

square root each side of the equation:

⇒ $\sqrt{169} = \sqrt{c^{2} }$

solve:

⇒ 13 = c

You might be interested in

5/7 - (- 1/7) =? help pleaseeeeee

zhannawk [14.2K]

The answer to this is 0.857142857143 i hope this helped you my guy.

7 0

3 years ago

stickers are made with the same ratio of width to length. a sticker 2 inches has a length of 6 inches. complete the table

Furkat [3]

The answer is 2 x10 = 20
To the power of b which is 15

4 0

2 years ago

Need help asap thanks

Ymorist [56]

Answer:

Step-by-step explanation:

for a right angled triangle, the sum of the square of the two sides should be equal to the square of the hypotenuse. If this rule does not hold, the dimensions do not represent the side of a right angled triangle.

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

4² + 10² ≠ 16²

6² + 12² = 13²

7² + 24² = 25²

8² + 15² = 17²

8 0

2 years ago

Solve the equation by factoring: x^3-16x^2+63x=0 x 3 −16x 2 +63x=0

Svetlanka [38]

Can you re order them I don’t understand your problems

3 0

3 years ago

A club is choosing 2 members to serve on a committee. The club has nominated 2 women and 4 men. Based on chance alone, what is t

tekilochka [14]

Answer:

53.33% probability that one woman and one man will be chosen to be on the committee

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the members are chosen is not important, so we use the combinations formula to solve this question.

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.

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

What is the probability that one woman and one man will be chosen to be on the committee?

Desired outcomes:

One woman, from a set of 2, and one man, from a set of 4. So

$D = C_{2,1}*C_{4,1} = \frac{2!}{1!1!}*\frac{4!}{1!3!} = 8$

Total outcomes:

Two members from a set of 2 + 4 = 6. So

$T = C_{6,2} = \frac{6!}{2!4!} = 15$

Probability:

$p = \frac{D}{T} = \frac{8}{15} = 0.5333$

53.33% probability that one woman and one man will be chosen to be on the committee

5 0

3 years ago