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3 years ago

Find the length of an arc of a circle with radius 15 cm if the arc subtends a central angle of 60°.

Mathematics

1 answer:

andrey2020 [161]3 years ago

3 0

Arc length = (πrθ)/180 [r=radius, θ=central angle, π≈3.14]

arc length = (3.14 * 15 * 60)/180 = 3.14 * 5 = 15.7 cm

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Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction

tiny-mole [99]

$\frac{7}{24}$ ÷ $\frac{35}{48}$
Multiply $\frac{7}{24}$ by the reciprocal of $\frac{35}{48}$ , which is $\frac{48}{35}$

= $\frac{7}{24}$ × $\frac{48}{35}$
= $\frac{336}{840}$

We can simplify it further:
The greatest common factor here is 168
$\frac{336/168}{840/168}$

= $\frac{2}{5}$

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3 years ago

3² • 9³ = [ ]<br>solve

RideAnS [48]

Answer:

3⁸ or 6561

Step-by-step explanation:

First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

There are no parentheses, so let's solve the exponents.

3² • 9³

3² = 9

9³ = 729

Your expression is:

9 • 729

Now let's multiply.

= 6561

This number can also be expressed with exponents.

Since 9 = 3², 9³ = 3²⁽³⁾

Now your expression is:

3² • 3²⁽³⁾

First, solve the exponents by multiplying.

3² • 3⁶

When you multiply two expressions with exponents that have the same base (3), you add the exponents.

3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸

3⁸ also equals 6561.

Your answer is 3⁸ or 6561.

Hope this helps!

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