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victus00 [196]
3 years ago
13

Help with this math problem

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0

{a}^{2}   +  {b}^{2} =  {c}^{2}  \\ ({ \sqrt{47} })^{2} +  {b}^{2}   =  ({10)}^{2}  \\ 47 +  {b}^{2}  = 100 \\  {b}^{2}  = 100 - 47 \\  {b}^{2}  = 53 \\ b =  \sqrt{53}

_o_o_

cos k = adjacent / hypotenuse

\cos(k)  =  \frac{ \sqrt{53} }{10}

I hope I helped you^_^

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5|2x - 3| + 4 = 9<br> How do you solve this
agasfer [191]

Answer:

x = 2, or x = -1

Step-by-step explanation:

If 2x - 3 is inside the parenthesis (), then the value of x is 2.

If 2x - 3 is inside the absolute value sign, then the value of x will probably be -1.

<u>Solution 1</u>

(10x-15) + 4 = 9

10x -11 = 9

10x = 20    -> x = 2

<u>Solution 2</u> (Not 100% sure)

|10x -15| +4 = 9

10x + 15 +4 = 9

10x + 19 = 9

10x = -10      -> x = -1

Please correct me if I'm wrong.

<u />

3 0
3 years ago
Stella graphs the equation y=1/3x – 2
faltersainse [42]

we have

y=\frac{1}{3}x-2

<u>Statements</u>

<u>case A)</u> The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

<u>case B)</u> The line passes through the origin.

The statement is False

Because the point (0,0) is not a solution of the equation

Verify

Substitute the value of x and y in the equation

0=\frac{1}{3}*0-2

0=-2 ------> is not true

the point (0,0) is not a solution

therefore

The line does not pass through the origin

<u>case C)</u> The line passes through the point  (0,-2)

The statement is True

Because the point (0,-2) is a solution of the equation

Verify

Substitute the value of x and y in the equation

-2=\frac{1}{3}*0-2

-2=-2 ------> is true

the point (0,-2) is a solution

therefore

The line passes through the point (0,-2)

<u>case D) </u>The slope of the line is 3

The statement is False

Because, the slope of the line is m=\frac{1}{3}

<u>case E)</u> The y-intercept of the line is 2

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

find the value of y

y=\frac{1}{3}*0-2=-2

the y-intercept is equal to -2


5 0
4 years ago
Read 2 more answers
In a certain Algebra 2 class of 27 students, 18 of them play basketball and 16
Bogdan [553]

Answer:

<em>The probability is 0.89 or 89%</em>

Step-by-step explanation:

<u>Probability</u>

There are n=27 students in a certain Algebra 2 class. 18 out of them play basketball and 16 of them play baseball.

We also know 3 students play neither sport. This leaves 27-3=24 students playing sports.

The probability that a randomly chosen student plays basketball or baseball is:

\displastyle p=\frac{24}{27}

Simplifying:

\displastyle p=\frac{8}{9}=0.89

The probability is 0.89 or 89%

6 0
3 years ago
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Korvikt [17]

The answer is C. y= 3/2 x. You can check by multiplying 3/2 by 3, if you get 7, it is correct

6 0
3 years ago
M^2-10m+9=(m-9)( ) filling the missing factor to complete the equation
Romashka [77]

Answer:

m-1

Step-by-step explanation:

3 0
3 years ago
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