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4 years ago

One third of a number is 12 less than the number itself

1 answer:

mote1985 [20]4 years ago

4 0

Let "n" be a substitute for "a number"

1/3(n)=n-12 Multiply by 3
n=3n-36 Get n onto the same side of the equation
2n=36 Divide by 2
n=18

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PLZ HELP WITH THIS QUESTION PLZ CORRECT ANSWERS!!! LOVE YOU THNX

iogann1982 [59]

Answer:

1) The value of x= 0.0642

2) $sin\theta=\frac{P}{H}=\frac{24}{25}$

$cos\theta=\frac{B}{H}=\frac{7}{25}$

$tan\theta=\frac{P}{B}=\frac{24}{7}$

$cosec\theta=\frac{H}{P}=\frac{25}{24}$

$cot\theta=\frac{B}{P}=\frac{7}{25}$

Step-by-step explanation:

1) Given : A right angle triangle with sides x and 10 and angle is 50°

To find : Value of x

Solution : Since, it is a right angle triangle

Therefore, we apply $cos\theta=\frac{B}{H}$

Where Base = x, Hypotenuse= 10, angle = 50°

$cos(50)=\frac{x}{10}$

$0.642=\frac{x}{10}$

$0.0642=x$

The value of x= 0.0642

2) Given : $sec\theta=\frac{25}{7}$

To find : Value of $sin\theta,cos\theta,tan\theta,cosec\theta,cot\theta$

Solution : We have given $sec\theta=\frac{25}{7}$

$sec\theta=\frac{H}{B}$

so, B= 7 , H=25

By Pythagoras theorem,

$H^2=P^2+B^2$

$25^2=P^2+7^2$

$625-49=P^2$

$\sqrt{576}=P^2$

$P=24$

Now, P=24, B=7, H=25

$sin\theta=\frac{P}{H}=\frac{24}{25}$

$cos\theta=\frac{B}{H}=\frac{7}{25}$

$tan\theta=\frac{P}{B}=\frac{24}{7}$

$cosec\theta=\frac{H}{P}=\frac{25}{24}$

$cot\theta=\frac{B}{P}=\frac{7}{25}$

5 0

3 years ago

nadya68 [22]

what is the news articlebabout?

8 0

3 years ago

Write an equation that expresses the following relationship. varies directly with and inversely with the square of In your equat

sergeinik [125]

Here d varies directly with cube of w, and inversely with p. So w cube have to be in the numerator and p have to be in the denominator. And we need to use k for constant of proportionality. Therefore the required equation is

In direct proportionality, the relatioship is linear that is as w increases, d increases and as w decreases d decreases and for inverse, it is opposite .

7 0

3 years ago

Read 2 more answers

How do I find the answer for the chart

ZanzabumX [31]

The answer is b ok have fun

6 0

3 years ago

Which expression has a value that is less than the base of that expression? A. 2^3 B. (5/6)^2 C. 3^1 D. 4^4

nikitadnepr [17]

Answer:

B. (5/6)^2

Step-by-step explanation:

A. 2^3

= 2 × 2 × 2

= 8

The base is 2

Therefore, the expression is greater than the base

B. (5/6)^2

= 5/6 × 5/6

= 5*5 / 6*6

= 25/36

Base = 5/6 = 0.833

Expression =25/36 = 0.694

Therefore, the expression is less than the base

C. 3^1

= 3

The base is 3

Therefore, the expression is equal to the base

D. 4^4

= 4 * 4 * 4 * 4

= 256

The base is 4

Therefore, the expression is greater than the base

The correct answer is B. (5/6)^2

5 0

3 years ago