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Alika [10]
2 years ago
8

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

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Find the distance between E(-3,4) and B(-1,6)​
Marrrta [24]

Answer:

The answer is

<h2>2 \sqrt{2 }  \:  \: or \:  \: 2.828 \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(-3,4) and B(-1,6)

The distance between them is

<h3>|EB|  =  \sqrt{ ({ - 3 + 1})^{2} +  ({4 - 6})^{2}  }  \\  =  \sqrt{ ({ - 2})^{2}  +  ({ - 2})^{2} }  \\  =  \sqrt{4 + 4}  \ \   \\  = \sqrt{8}</h3>

We have the final answer as

<h3>2 \sqrt{2 }  \:  \: or \:  \: 2.828 \:  \:  \: units</h3>

Hope this helps you

4 0
3 years ago
Find the slope and the y-intercept of the line
Rom4ik [11]

Answer:

the slope of the line is 4

m = 4

y-intercept is -8

y = 4(0) - 8 = 0 - 8 = -8

3 0
3 years ago
A bus travels 36 miles in 45 minutes. Enter the number of miles the bus travels in 60 minutes at this rate.
kompoz [17]

Answer:

The answer would be 48 miles in 60 minutes. I hope that helps!

Step-by-step explanation:

36 x 60 = 2160

45n = 2160

n = 48

8 0
3 years ago
Read 2 more answers
what is the probability that a positive integer less than 100 picked at random has all distinct digits
bazaltina [42]

the probability that a positive integer less than 100 picked at random has all distinct digits is 90.

He has 99 positive integers less than 100.

The integers that do not have all distinct digits have the same digit twice.

11, 22, 33, 44, 55, 66, 77, 88, 99

There are 9 integers that do not have distinct digits, therefore there are 99-9 integers that do.

Probability is without a doubt how probable something is to show up. whenever we are uncertain about the final results of an occasion, we can talk about the possibilities of sure outcomes and how probable they are. The analysis of events governed by opportunity is referred to as records.

A chain of moves in which the results are usually unsure. The tossing of a coin, selecting a card from a deck of playing cards, throwing a cube. occasion. it is a single final results of an experiment. Getting a Heads whilst tossing a coin is an event.

Simple probability is the calculation of an outcome or the chance of an event ever taking place. coverage companies use possibility statistics to determine the possibilities of having to pay out a declare. A simple chance is calculated by way of dividing a particular outcome through all of the feasible outcomes.

Learn more about probability here brainly.com/question/24756209

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8 0
2 years ago
Which expression is equivalent
RUDIKE [14]

Given expression is

\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}

Radical is fourth root

first we simplify the terms inside the radical

\frac{x^{11}}{x^7}=x^4

\frac{y^(8)}{y^6}=y^2

So the expression becomes

\sqrt[4]{\frac{16x^4y^2}{81}}

Now we take fourth root

\sqrt[4]{16} = 2

\sqrt[4]{81} = 3

\sqrt[4]{x^4} = x

We cannot simplify fourth root (y^2)

After simplification , expression becomes

\frac{2x\sqrt[4]{y^2}}{3}

Answer is option B


7 0
3 years ago
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