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3 years ago

The diameter of the circle is 8 inches. What is the area?

Mathematics

2 answers:

EleoNora [17]3 years ago

8 0

50.2655 but You can also put it as 50in! :D

bagirrra123 [75]3 years ago

3 0

50.3in² ( to 1 decimal place )

the area of a circle is calculated using

area = πr² ( where r is the radius)

here diameter = 8 ⇒ r =8/2 = 4

area = π × 4² = 16π = 50.3 in²

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An exponential function f(x) is reflected across the x-axis to create the function g(x). Which is a true statement regarding f(x

valentina_108 [34]

That would be the last choice. Opposite meaning different sign

4 0

3 years ago

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Which expression is equivalent to (16 x Superscript 8 Baseline y Superscript negative 12 Baseline) Superscript one-half?.

loris [4]

To solve the problem we must know the Basic Rules of Exponentiation.

<h2>Basic Rules of Exponentiation</h2>

$x^ax^b = x^{(a+b)}$
$\dfrac{x^a}{x^b} = x^{(a-b)}$
$(a^a)^b =x^{(a\times b)}$
$(xy)^a = x^ay^a$

$x^{\frac{3}{4}} = \sqrt[4]{x^3}= (\sqrt[3]{x})^4$

The solution of the expression is $\dfrac{4x^4}{y^6}$ .

<h2>Explanation</h2>

Given to us

$(16x^8y^{12})^{\frac{1}{2}}$

Solution

We know that 16 can be reduced to $2^4$ ,

$=(2^4x^8y^{12})^{\frac{1}{2}}$

Using identity $(xy)^a = x^ay^a$ ,

$=(2^4)^{\frac{1}{2}}(x^8)^{\frac{1}{2}}(y^{12})^{\frac{1}{2}}$

Using identity $(a^a)^b =x^{(a\times b)}$ ,

$=(2^{4\times \frac{1}{2}})\ (x^{8\times\frac{1}{2}})\ (y^{12\times{\frac{1}{2}}})$

Solving further

$=2^2x^4y^{-6}$

Using identity $\dfrac{x^a}{x^b} = x^{(a-b)}$ ,

$=\dfrac{2^2x^4}{y^6}$

$=\dfrac{4x^4}{y^6}$

Hence, the solution of the expression is $\dfrac{4x^4}{y^6}$ .

Learn more about Exponentiation:

brainly.com/question/2193820

8 0

2 years ago

A washer and a dryer cost $552 combined. The washer costs $98 less than the dryer. What is the cost of the dryer?

Sedaia [141]

552-98 = 450

454/2 = 227

washer cost $227

227+98 = 325

dryer cost $325

5 0

3 years ago

Original price $18 and percent of discount is 65% what is the sale price

liq [111]

Answer:

$6.3

Step-by-step explanation:

Original price = $18

Percentage Discount = 65%

Discount = 18*65% = 18*0.65 = $11.7

Sale Price = Original price - Discount

= $18 - $11.7

= $6.3

7 0

2 years ago

4 2/3 + 1 3/4 give your answer as a mixed number

Anna71 [15]

Answer:

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Step-by-step explanation:

Given the expression :

4 2/3 + 1 3/4

The sum of the numbers :

4 2/3 + 1 3/4

14/3 + 7/4

L.C.M of 3 and 4 = 12

(56 + 21) / 12

77 / 12

= 6 5/12

7 0

3 years ago