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3 years ago

9/15 divided by 27/30 =

Mathematics

1 answer:

Tema [17]3 years ago

4 0

When dividing two fractions, we flip the second fraction and multiply by it (that is, use the reciprocal).

$\frac{9}{15}$ ÷ $\frac{27}{30}$

= $\frac{9}{15}$ × $\frac{30}{27}$

You can either multiply top by top and bottom by bottom or you can simplify by dividing out common factors.

= $\frac{1}{1}$ × $\frac{2}{3}$

= $\frac{2}{3}$

You might be interested in

A square has a diagonal length of 10 ft. Draw a diagram and determine the perimeter of the square.

denpristay [2]

The perimeter of the square is: $20\sqrt2$ ft

Step-by-step explanation:

The picture is attached with the answer.

the diagonal of a square divides it into two right angled-triangles.

We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle

Let a be the side of the square, then according to Pythagoras theorem

$d^2=a^2+a^2\\(10)^2 = 2a^2\\2a^2=100$

Dividing both sides by 2

$\frac{2a^2}{2}=\frac{100}{2}\\a^2=50$

Taking Square root on both sides

$\sqrt{a^2}=\sqrt{50}\\a=\sqrt{25*2}\\a=\sqrt{5^2 * 2}\\a=5\sqrt{2}\ ft$

Now,

$P = 4a\\P = 4 * 5\sqrt{2}\\=20\sqrt{2}\ ft$

Hence,

The perimeter of the square is: $20\sqrt2$ ft

Keywords: Perimeter, Pythagoras Theorem

Learn more about Square at:

#learnwithBrainly

5 0

3 years ago

Jeffrey calculated the slope between two pairs of points. He found that the slope between -5, 6 and -3, 2 is -2. He also found t

Cerrena [4.2K]

Answer:

Jeffrey is correct

All of these points are on the same line because the slope between (-3,2) and( 0,-4), which are coordinates from each of the pairs above, is equal to -2

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope between -5, 6 and -3, 2

substitute the values in the formula

$m=\frac{2-6}{-3+5}$

$m=\frac{-4}{2}=-2$

step 2

Find the slope between (-1, -2) and (0, -4)

substitute the values in the formula

$m=\frac{-4+2}{0+1}$

$m=\frac{-2}{1}=-2$

step 3

Find the slope between (-3, 2) and (0, -4)

substitute the values in the formula

$m=\frac{-4-2}{0+3}$

$m=\frac{-6}{3}=-2$

therefore

Jeffrey is correct

All of these points are on the same line because the slope between (-3,2) and( 0,-4), which are coordinates from each of the pairs above, is equal to -2

8 0

3 years ago

Read 2 more answers

Please do all four, thanks :) <br><br> I'm feeling generous today *40 points*

MrMuchimi

Step-by-step explanation:

A. x^2-9x+18

B. x^2-8x+16

C. 2x^2-5x-12

D. 12x^2-31x+7

8 0

3 years ago

Read 2 more answers

Negative one and three fifths divided by negative two thirds

nadya68 [22]

Answer:

12 over 5, or 2.4

Step-by-step explanation:

I plugged it in my graphic calculator.

5 0

3 years ago

5. The measure of an intercepted arc is 86, and the measure of the inscribed angle creating the intercepted arc is 3x +

Nonamiya [84]

Answer:

Th correct option is D. 13

Therefore the value of x is 13.

Step-by-step explanation:

Given:

measure of an intercepted arc = 86°

Center Angle = 86°

measure of the inscribed angle creating the intercepted arc= (3x+4)°

Angle Inscribed in arc = (3x+4)°

To Find:

value of x = ?

Solution:

Inscribed Angle Theorem:

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

$\textrm{Angle Inscribed in arc}=\dfrac{1}{2}\textrm{Center Angle}$

Substituting the values we get

$3x+4=\dfrac{1}{2}86=43\\\\3x=39\\\\x=\dfrac{39}{3}=13\\\\x=13$

Therefore the value of x is 13.

4 0

3 years ago