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3 years ago

15

Why multiplying the numerator and denominator of a fraction by the same number results in an equivalent fraction?

1 answer:

kotykmax [81]3 years ago

8 0

Im Not That sure But I Belive That If Denominators Are The Same Keep It And Just Do The Math In The Numerator's . ( For Adding ) But Multiplying You Do Both and If The Numerator Is The Bigger Than The Denominator Your Going To Have To Do Extra Math Like A Common Denominator ( I Belive ) .

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Find the value of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%5E%7B3%7D" id="TexFormula1" title="\frac{2}{3} ^{3}

olga nikolaevna [1]

Answer:

Step-by-step explanation:

5 0

2 years ago

Given the figure below solve for X

enot [183]

Answer:

x = 37

Step-by-step explanation:

7 0

2 years ago

Geometry math question no Guessing and Please show work thank you

vesna_86 [32]

First let us find the length of JN

JN =JK +KN

JN = 82+105 = 187

JN=187..............(1)

UC= JN -( JH +HU+CN)

We are given :

JH= 22, HU = 96 and CN = 51

plugging all the values we get

UC = 187-( 22+96+51)

UC =187 -169

UC = 18

Answer is UC =18 ( option B)

8 0

3 years ago

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

3 years ago

What is 13x-8 less than or equal to -32 simplified?

lapo4ka [179]

Answer:

Add

8

8 to both sides

1

3

x

≥

−

3

2

+

8

13x≥−32+8

2 Simplify

−

3

2

+

8

−32+8 to

−

2

4

−24

1

3

x

≥

−

2

4

13x≥−24

3 Divide both sides by

1

3

13

x

≥

−

2

4

1

3

x≥−

13

24

3 0

3 years ago

Read 2 more answers