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2 years ago

Pls help it is due very soon.

Mathematics

1 answer:

WINSTONCH [101]2 years ago

5 0

Answer:

Step-by-step explanation:

The Pythagorean theorem is sqrt(a^2 + b^ 2) = c, so:

sqrt(22^2 + 8^2) = c

sqrt(548) = c

23.41 = c

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Crazy boy [7]

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3 years ago

What is the length of a side of a cube with volume 729 cm3?

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4 years ago

During a sale, a store offered a 15% discount on a tablet computer that originally sold for $460. After the sale, the discounted

Lady bird [3.3K]

The percent of the original price after markup is 98%

<h3>Mark up and discounts</h3>

Given the following parameters

Original price of tablet = $460

If during a sale, a store offered a 15% discount on a tablet, the new price after discount will be:

New price = 0.85 * 460

New price = $391

If the tablet computer was marked up by 15% after the discount, then the price after the markup is given as:

Price after markup = 1.15 * 391
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To get the required percent;

x% of 460 = 450
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x% = 0.978

x = 98%

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3 years ago

Find the equation (in terms of x) of the line through the points (-2,-5) and (2,3)

shtirl [24]

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3 years ago

What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-

Irina18 [472]

The sum of the infinite geometric series is -288.

<h2>Given that</h2>

A finite geometric series with n = 4, a₁ = -144, and r = ½.

<h3>We have to determine</h3>

What is the sum of the infinite geometric series?

<h3>According to the question</h3>

The sum of the infinite is determined by the following formula;

$\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\$

A finite geometric series with n = 4, a₁ = -144, and r = ½.

Substitute all the values in the formula;

$\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\S\infty = \dfrac{-144 (1- \dfrac{1}{2}^4)}{1-\dfrac{1}{2}}\\\\S \infty = \dfrac{-144 \times \dfrac{15}{16}}{\dfrac{1}{2}}\\\\S \infty = -270$

Therefore,

The sum of the infinite geometric series is,

$\rm S = \dfrac{a_1}{1-r}\\\\S=\dfrac{-144}{1-\dfrac{1}{2}}\\\\S = \dfrac{-144}{0.5}\\\\S = -288$

Hence, the sum of the infinite geometric series is -288.

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5 0

3 years ago