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SIZIF [17.4K]
4 years ago
9

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

Mathematics
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
Х
nadya68 [22]
  1. 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
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