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2 years ago

100 POINTS AND BRAINILY

Mathematics

2 answers:

Arte-miy333 [17]2 years ago

7 0

Answer:

Step-by-step explanation:

In a right-angled triangle, by definition:

sinX = opposite side / hypothesis

= 5/13

tanX = opposity side / adjacent side

= 5/12

cosX = adjacent side / hypothesis

= 12/13

babunello [35]2 years ago

6 0

$\\ \rm\hookrightarrow sinX=\dfrac{Perpendicular}{Hypotenuse}=\dfrac{5}{13}$

$\\ \rm\hookrightarrow cosX=\dfrac{Base}{Hypotenuse}=\dfrac{12}{13}$

$\\ \rm\hookrightarrow tanX=\dfrac{sinX}{cosX}=\dfrac{5}{12}$

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Simplify 25^ - 1/2 <br><br>Please explain! I know the answer is 1/5 but why?

lisov135 [29]

$(25)^{-\frac{1}{2} }$

When the exponent is negative, you have to make the number a fraction(1 over the number).

For example:

$25^{-2} = \frac{1}{25^{2} }$

$x^{-1} =\frac{1}{x^{1} }$

This gets rid of the negative, but it leaves the exponent

$(25)^{-\frac{1}{2}} = \frac{1}{25^{1/2}}$

When an exponent is a fraction, it is the square root.

For example:

$x^{\frac{1}{3}} = \sqrt[3]{x}$

$x^{\frac{1}{2}} =\sqrt{x}$

$x^{\frac{1}{4}}=\sqrt[4]{x}$

So...

$\frac{1}{25^{1/2}} = \frac{1}{\sqrt{25} } = \frac{1}{5}$

3 0

4 years ago

Seven less than the quotient of a number, x, and twelve is five times the number. Which answer represents this situation??

erica [24]

Answer:

Option b is correct.

Step-by-step explanation:

From the given condition : Seven less than the quotient of a number, x, and twelve is five times the number.

Here, the number is x

The quotient of a number x and twelve is expressed as , $\frac{x}{12}$

Seven less than the quotient of a number, x, and twelve is expressed as, $\frac{x}{12}-7$

Five times the number mean, $5x$

Therefore, we have an equation in the form of <em>x</em> from the given condition as:

$\frac{x}{12}-7=5x$ .

8 0

3 years ago

Read 2 more answers

The length and width of a rectangle are in a 3:5 ratio. The perimeter of the rectangle is 64. What are the length and width of t

Levart [38]

Hey there! I'm happy to help!

We know that the perimeter is 2L+2W. Le'ts plug in the values 3 and 5 from our ratio and see what our perimeter would be with that.

2(3)+2(5)

6+10

How can we get this 16 to 64?

64/16=4

So, we need to multiply this length and width by four to get 64 as our perimeter!

3*4=12

5*4=20

We can plug this into our perimeter equation

2(12)+2(20)

24+40

Therefore, our length is 12 and our width is 20.

Have a wonderful day! :D

5 0

3 years ago

Graph x<2/9 on a number line

Arturiano [62]

Answer:

The line should begin on the right side 2 dashes (the small lines tht go throught the number line. There are 9 dashes between each whole number.)

Then the line should go left because it says x is less than 2/9. (which is right)

The line segment you should choose is the one with the open circle with an arrow going to the left.

<---O (looks like this lol.)

3 0

3 years ago

The bill with the greatest value ever printed in the United States was worth 10 to the 5th power dollars which of the following

Stella [2.4K]

Answer: 50,000

Step-by-step explanation:

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3 years ago