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Gelneren [198K]
2 years ago
13

△BCD ​ is a right triangle. The length of the hypotenuse is 18 centimeters. The length of one of the legs is 14 centimeters. Wha

t is the length of the other leg?
Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
5 0

Answer:

The answer to your question is   b = 11.31 cm  or   8\sqrt{2} cm

Step-by-step explanation:

Data

hypotenuse = 18 cm

one leg = 14 cm

second leg = ?

Process

1.- Use the Pythagorean Theorem to solve this problem

                 c² = a² + b²

c = hypotenuse

a = longer leg

b= shorter leg

2.- Substitution

                        18² = 14² + b²

-Solve for b

                         b² = 18² - 14²

-Simplify

                         b² = 324 - 196

                         b² = 128

-Find the prime factors of 128

                          128   2

                            64  2

                             32  2

                             16  2

                              8  2

                              4  2

                              2  2

                               1

          128 = 2⁶2¹                                    

-Result

                         b = 11.31   or   8\sqrt{2}

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Warren has a container which holds 22 books of the same shape and size. The exact breakdown of his books is shown below:
ohaa [14]

Given:

Total number of book = 22

Number of white books = 6

Number of Purple books = 9

Number of green books = 7

To find:

The probability that Warren takes out a green book in both draws (with replacement).

Solution:

We know that,

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

P(\text{White})=\dfrac{6}{22}

P(\text{Purple})=\dfrac{9}{22}

P(\text{green})=\dfrac{7}{22}

After replacement, the probability of event remains the same and the independent.

The probability that Warren takes out a green book in both draws is:

P=P(\text{green})\times P(\text{green})

P=\dfrac{7}{22}\times \dfrac{7}{22}

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7 0
3 years ago
What is negative 21/9 times negative 18/7
diamong [38]

Answer:

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Step-by-step explanation:

The phrase negative 21/9 times negative 18/7 can be written mathematically as

-\frac{21}{9} \times -\frac{18}{7}

Lets first convert the fractions into decimal values

-\frac{21}{9} = -2.33

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Now on simplyfying

=>-2.33 \times -2.57

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5 0
3 years ago
Find the value of x
kodGreya [7K]

Answer:

Last Option

Step-by-step explanation:

We have a triangle and we know its three sides.

We want to find one of your anguos. Then we use the cosine theorem.

c ^ 2 = a ^ 2 + b ^ 2 -2abcosx

Where

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Now we solve for x from the equation

c ^ 2 = a ^ 2 + b ^ 2 -2abcosx\\\\\\14^2 = 11^2 + 19^2 -2(11)(19)cosx\\\\14^2 -11^2 -19^2 = 2(11)(19)cosx\\\\-286=2(11)(19)cosx\\\\cosx = \frac{-286}{2(11)(19)}\\\\x = arcos(\frac{-286}{2(11)(19)})\\\\x = 46.8\°

6 0
3 years ago
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Can someone explain to me how I am supposed to do this please?
balandron [24]
I think Sam is correct cuz SQ is a bigger rectangle and for OM it is smaller and we only know the width
8 0
3 years ago
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