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3 years ago

Find the length of the the missing triangle side

Mathematics

2 answers:

nalin [4]3 years ago

8 0

So the right answer is 5.

Look at the attached picture

Hope it will help you...

Good luck on your assignment

Lunna [17]3 years ago

5 0

Answer:

B. 5

Step-by-step explanation:

Formula: a^2 + b^2 = c^2

Solution: a is the missing side or x

b is 12 cm

c is 13 cm

x^2 + 12^2 = 13^2

x^2 + 144 = 169

You need to transpose 144 to the right side so that it will become :

x^2 = 169 - 144

x^2 = 25

Now you have to discard the square root by using the square root property, it will become:

x = 5

Now the final answer is x = 5

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Suppose P( A) = 0.60, P( B) = 0.85, and A and B are independent. The probability of the complement of the event ( A and B) is: a

diamong [38]

Answer: a. 0.4 × 0.15 = 0.060

Step-by-step explanation: Probability of the complement of an event is the one that is not part of the event.

For P(A):

P(A') = 1 - 0.6

P(A') = 0.4

For P(B):

P(B') = 1 - 0.85

P(B') = 0.15

To determine probability of A' and B':

P(A' and B') = P(A')*P(B')

P(A' and B') = 0.4*0.15

P(A' and B') = 0.06

Probability of the complement of the event is 0.060

5 0

3 years ago

What is the slope of the line that passes through the pair of points (1/3, -1) and ( -2, 9/2)

UkoKoshka [18]

Answer:

$\boxed{m = - \frac{33}{14} }$

Step-by-step explanation:

Use the form below

$\boxed{\boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }}$

Where

$m$ is a slope
$(x_1,~y_1)$ and $(x_2,~y_2)$ are the point of the line

So, the slope is

$(\frac{1}{3} ,~ -1) \to x_1 = \frac{1}{3} ~and~y_1 = -1$

$(-2,~ \frac{9}{2} ) \to x_2 = -2~and~y_2 = \frac{9}{2}$

$m = \frac{\frac{9}{2} -(-1)}{-2-\frac{1}{3} }$

$m = \frac{\frac{11}{2} }{\frac{-7}{3} }$

$m = \frac{11}{2} \div (-\frac{7}{3} )$

$m = \frac{11}{2} \times (-\frac{3}{7} )$

$m = - \frac{33}{14}$

Happy to help:)

7 0

3 years ago

Read 2 more answers

A 60 - kilogram person stands on a compression spring . The spring constant is 2500 Newtons per meter .

insens350 [35]

<h2>Answer:0.2352 $m$ </h2>

Step-by-step explanation:

Let the mass of the person be $m$ .

Let the spring constant be $k$ .

Let the displacement in spring be $x$

Let the acceleration due to gravity be $g$

As it is given that the person just stands,the forces are balanced.

So, $mg=kx$

Given,

$m=60Kg\\k=2500Nm^{-1}\\g=9.8ms^{-2}$

$60\times 9.8=2500\times x\\x=\frac{588}{2500}=0.2352m$

6 0

3 years ago

Write an equation of the line that goes through the point (6, 12) and has a slope of 2 3 .

Degger [83]

Answer:

3y = 2x + 24

Step-by-step explanation:

The correct question is as follows;

Write an equation of the line that goes through the point (6, 12) and has a slope of 2/3

Solution

Here, we have a point and a slope, and we want to write the equation of the line

The method we shall use here is the point slope method

Mathematically, that will be;

y-y1 = m(x-x1)

(x1,y1) = (6,12)

m = 2/3

y-12 = 2/3(x-6)

3(y-12) = 2(x-6)

3y-36 = 2x - 12

3y = 2x -12 + 36

3y = 2x + 24

8 0

3 years ago

Point B is the midpoint of AC, and point C is the midpoint of AD. If CD=12, what is AB?

Sliva [168]

Answer: AB = 6

Step-by-step explanation:

If CD = 12 , AC also = 12

B is the midpoint of AC so one side = 6

AB is one side of AC , so AB = 6

I am not a professional, I am simply using prior knowledge!

Note- It would mean the world to me if you would mark me brainliest!

4 0

3 years ago