All categories

2 years ago

Find the quotient 4/12 divided by 4/12

Mathematics

2 answers:

pishuonlain [190]2 years ago

4 0

Answer:

Step-by-step explanation:

When dividing fractions, we need to flip our second number (find its reciprocal) and change the division sign to a multiplication sign:

$\frac{4}{12}$ · $\frac{12}{4}$

Now we see that the two fours and the two twelves cancel out:

$\frac{4}{12}$ · $\frac{12}{4}$

↑

cancel out

So, we are left with 1.

Hope this helped! :)

Natali5045456 [20]2 years ago

3 0

Answer:

Step-by-step explanation:

Keep-Change-Flip

4/12 (keep) × (change) 12/4 (flip)

4/12 × 12/4

4 × 12 = 48

12 × 4 = 48

48/48 = 1

You might be interested in

(1 point) Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the

Vanyuwa [196]

Answer:

16 years

Step-by-step explanation:

Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:

320000 + 5000x

The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:

624000 - 14000x

The number of years for the city and suburb population to be equal can be gotten from:

320000 + 5000x = 624000 - 14000x

14000x + 5000x = 624000 - 320000

19000x = 304000

x = 304000 / 19000

x = 16

In 16 years the populations of the suburb and the city be equal

6 0

3 years ago

The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi

Rom4ik [11]

Answer:

The base is 24 cm long.

Step-by-step explanation:

Equations

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

$\displaystyle A=\frac{bh}{2}$

$\displaystyle A=\frac{(h+9)h}{2}$

And its value is 180:

$\displaystyle \frac{(h+9)h}{2}=180$

Multiplying by 2:

$(h+9)h=360$

Operating:

$h^2+9h-360=0$

Factoring:

$(h-15)(h+24)=0$

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

7 0

3 years ago

I need help on math. h(x)=8x-10 h( )=62

andriy [413]

Simplifying

8x + -10 = 62

Reorder the terms:

-10 + 8x = 62

Solving

-10 + 8x = 62

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 8x = 62 + 10

Combine like terms: -10 + 10 = 0

0 + 8x = 62 + 10

8x = 62 + 10

Combine like terms: 62 + 10 = 72

8x = 72

Divide each side by '8'.

x = 9

Simplifying

x = 9

3 0

3 years ago

Cot^2x/cscx-1=1+sinx/sinx

KATRIN_1 [288]

$\bf \textit{difference of squares}
\\\\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)
\\\\\\
sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)\\\\
-------------------------------\\\\
\cfrac{cot^2(x)}{csc(x)-1}=\cfrac{1+sin(x)}{sin(x)}\impliedby \textit{let's do the left-hand-side}$

$\bf \cfrac{\quad \frac{cos^2(x)}{sin^2(x)}\quad }{\frac{1}{sin(x)}-1}\implies \cfrac{\quad \frac{cos^2(x)}{sin^2(x)}\quad }{\frac{1-sin(x)}{sin(x)}}\implies \cfrac{cos^2(x)}{sin^2(x)}\cdot \cfrac{sin(x)}{1-sin(x)}
\\\\\\
\cfrac{cos^2(x)}{sin(x)}\cdot \cfrac{1}{1-sin(x)}\implies \cfrac{cos^2(x)}{sin(x)[1-sin(x)]}$

$\bf \cfrac{1-sin^2(x)}{sin(x)[1-sin(x)]}\implies \cfrac{1^2-sin^2(x)}{sin(x)[1-sin(x)]}
\\\\\\
\cfrac{\underline{[1-sin(x)]}~[1+sin(x)]}{sin(x)\underline{[1-sin(x)]}}\implies \cfrac{1+sin(x)}{sin(x)}$

5 0

2 years ago

Determine the equation of a circle with center at (8, 10) and radius 6.

andreev551 [17]

Answer:

Step-by-step explanation:

general equation for a circle at the origin is

x² + y² = r²

if the circle center is (x₀, y₀), the formula is

(x - x₀)² + (y - y₀)² = r²

(x - 8)² + (y - 10)² = 36

8 0

2 years ago