3 years ago

What is 2.4375 as a fraction simplified?

Mathematics

1 answer:

astraxan [27]3 years ago

5 0

Answer:

39/16

Step-by-step explanation:

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Use the law of cosines to find the indicated missing side

max2010maxim [7]

Answer:

19.08

Step-by-step explanation:

c² = a² + b² - 2ab×cos(C)

a=10

b=22

C=60

cos(60) = 0.5

c² = 10² + 22² - 2×10×22×cos(60) =

= 100 + 484 - 20×22×0.5 = 584 - 20×11 = 584 - 220 =

= 364

c = sqrt(364) ≈ 19.08

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3 years ago

Slope (m)=3, passes through (0, - 2)

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Answer:

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3 years ago

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I need help with math 1010<br>completing the square<br>x^2-9x=10

Citrus2011 [14]

$x^2-9x=10|+20.25\\
x^2-9x+20.25=30.25\\
(x-4.5)^2=30.25\\
x-4.5=5.5 \vee x-4.5=-5.5\\
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3 years ago

Evaluate each logarithm. Do not use a calculator. ln ^3 square root e^4

Alona [7]

Answer:

$\large\boxed{\ln\sqrt[3]{e^4}=\dfrac{4}{3}}$

Step-by-step explanation:

$\text{Use}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\ln a^n=n\ln a\\\\\ln e=1\\-----------\\\\\ln\sqrt[3]{e^4}=\ln e^\frac{4}{3}=\dfrac{4}{3}\ln e=\dfrac{4}{3}\cdot1=\dfrac{4}{3}$

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3 years ago

A company has determined that the number of items it sells varies inversely as the price of the item. If 20,000 items can be sol

mestny [16]

Let N be the number of items sold and p the price.
Since the variation is inverse, then the relation between N and p is:
$N=k\dfrac{1}{p}$
For N=20000 and p = $9.5, we get the formula:
$20000=k\dfrac{1}{9.5}\\p=20000\times9.5=190000$
If p = 8.75, then the number of items sold can be computed using the formula:
$N= 190000\dfrac{1}{8.75}=21714 \text{ total items}$

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2 years ago