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2 years ago

Is the quotient of two rational numbers always a rational number? explain.

Mathematics

1 answer:

lys-0071 [83]2 years ago

7 0

Answer:

yes because rational numbers can be written as a fraction

Step-by-step explanation:

You might be interested in

Sandra has a bag of animal cookies. The bag contains the cookies below. What is the probability that Sandra chooses a tiger cook

sineoko [7]

Answer:

3/26

Step-by-step explanation:

Add 9+9+5+3 = 26

Total of 3 Tiger Cookies

3/26

8 0

2 years ago

What is the area of a triangle with vertices at (−2, 1) , (2, 1) , and (3, 4) ?

Simora [160]

Given

A triangle.

with vertices at (−2, 1) , (2, 1) , and (3, 4)

Find out the area of a triangle.

To proof

Formula

$Area\ of\ triangle = \frac{1}{2}[ x_{1} (y_{2} -y_{3} ) + x_{2} (y_{3} - y_{1})+x_{3}(y_{1}-y_{2})$

As given the vertices at (−2, 1) , (2, 1) , and (3, 4)

put in the above equation

we get

$= \frac{1}{2} [-2(1-4)+ 2 (4-1) + 3 ( 1-1) ]$

solving

$= \frac{1}{2} [6 + 6]$

thus

$=\frac{1}{2} [12]$

area of the triangle is 6 units².

Hence proved

8 0

3 years ago

Read 2 more answers

Find the zero for f (x)=80-10x

kolbaska11 [484]

Answer: =80/11

Step-by-step explanation:x=80-10x

We move all terms to the left:

x-(80-10x)=0

We add all the numbers together, and all the variables

x-(-10x+80)=0

We get rid of parentheses

x+10x-80=0

We add all the numbers together, and all the variables

11x-80=0

We move all terms containing x to the left, all other terms to the right

11x=80

x=80/11

x=7+3/11

4 0

3 years ago

At the base of a pyramid, a surveyor determines that the angle of elevation to the top is °. At a point meters from the base, th

riadik2000 [5.3K]

Answer:

$\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}$

Step-by-step explanation:

Incomplete question:

$\angle CBD = 53^\circ$

$\angle CAB = 35^\circ$

$AB = 75$

See attachment for complete question

Required

Determine the equation to find x

First, is to complete the angles of the triangle (ABC and ACB)

$\angle ABC + \angle CBD = 180$ --- angle on a straight line

$\angle ABC + 53= 180$

Collect like terms

$\angle ABC =- 53+ 180$

$\angle ABC =127^\circ$

$\angle ABC + \angle ACB + \angle CAB = 180$ --- angles in a triangle

$\angle ACB + 127 + 35 = 180$

Collect like terms

$\angle ACB =- 127 - 35 + 180$

$\angle ACB =18$

Apply sine rule

$\frac{\sin A}{a} = \frac{\sin B}{b}$

In this case:

$\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}$

This gives:

$\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}$

4 0

2 years ago

Read 2 more answers

HELP ME PLEASE Solve for x: -6 – 5x = 29

Lynna [10]

Answer:

x = -7

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (&Roots)

Multiplications

Divisions

Additions

Subtractions

First, add 6 to both sides of the equation:

-5x - 6 = 29

-5x - 6 (+6) = 29 (+6)

-5x = 29 + 6

-5x = 35

Next, divide -5 from both sides of the equation:
(-5x)/-5 = (35)/-5

x = 35/-5

x = -7

-7 is your answer for x.

4 0

2 years ago