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3 years ago

Simplify the fraction 20/24 to lowest term.

Mathematics

2 answers:

arsen [322]3 years ago

4 0

The lowest term for 20/24 is 5/6

77julia77 [94]3 years ago

3 0

Answer:

$\frac{5}{6}$

Step-by-step explanation:

Given

$\frac{20}{24}$ ← divide numerator/ denominator by 4 ( the LCM of 20 and 24 )

= $\frac{5}{6}$ ← in simplest form

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Is -2.74 a rational number?

Zinaida [17]

Yes, in mathematics, a rational number is any numberthat can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

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3 years ago

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The area of a circle, in terms of

ch4aika [34]

Answer:

30m

Step-by-step explanation:

A=πr²

225π=πr²

225=r²

r=√225

r=15

d=2r

d=2×15

=30m

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3 years ago

If the Leaning Tower of Pisa (which is roughly cylindrical) has a height of 55 meters, radius of 8 meters, what is the volume?

valentinak56 [21]

Answer:

Option C. $V=3,520\pi\ m^3$

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$r=8\ m$

$h=55/ m$

substitute

$V=\pi (8)^{2} (55)$

$V=3,520\pi\ m^3$

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3 years ago

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Prove that a triangle with the sides a - 1 cm to root under a

vivado [14]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm

Hence,

${AB}^2 = (a -1)^2$

Now We know that

$(a- b)^2 = a^2+b^2 - 2ab$

So;

${AB}^2= a^2 + 1^2 -2\times a \times1$

${AB}^2 = a^2 + 1 -2a$

Now;

${BC}^2 = (2\sqrt{a})^2= 4a$

Also;

${CA}^2 = (a + 1)^2$

Now We know that

$(a+ b)^2 = a^2+b^2 + 2ab$

${CA}^2= a^2 + 1^2 +2\times a \times1$

${CA}^2 = a^2 + 1 +2a$

${CA}^2 = AB^2 + BC^2$

[By Pythagoras theorem]

$a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a$

Hence, ${CA}^2 = AB^2 + BC^2$

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

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3 years ago

The circumference of a circle is 94.2 millimeters. What is the circle's radius?

notka56 [123]

Answer:

14.99

Step-by-step explanation:

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