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2 years ago

A road sign is in the shape of an equilateral triangle with a vertical measurement of 41.2cm. How long is each side?

Mathematics

1 answer:

shusha [124]2 years ago

3 0

H=(√3)*a/2 = 41.2

So, a=2*41.2/√3=47.6

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A coffee shop sold 7 cups,3 pints, and 9 quarts of coffee. Express the number of cups of coffee sold in base 2

sweet-ann [11.9K]

Answer:

The total number of cups of coffee sold are 51 which can be expressed in base $2$ as $110011$ .

Step-by-step explanation:

Considering the following information

$1$ cup = $1$ cup

$7$ pints = $14$ cups ∵ $1$ pint = $2$ cups
$9$ quarts = $36$ cups ∵ $1$ quart = $4$ cups

So, total number of cups will be = $51$ cups

Converting $51$ to the base $2$

Divide $51$ by $2$ by repeatedly and observe remainder

$\frac{51}{2}=25\quad \mathrm{Remainder}\quad \:1$

$\frac{25}{2}=12\quad \mathrm{Remainder}\quad \:1$

$\frac{12}{2}=6\quad \mathrm{Remainder}\quad \:0$

$\frac{6}{2}=3\quad \mathrm{Remainder}\quad \:0$

$\frac{3}{2}=1\quad \mathrm{Remainder}\quad \:1$

$\frac{1}{2}=0\quad \mathrm{Remainder}\quad \:1$

Read and observe the remainder from top to bottom would yield $110011$ .

Therefore, the total number of cups of coffee sold are 51 which can be expressed in base $2$ as $110011$ .

Keywords: base 2, number

Learn more about number bases from brainly.com/question/13725148

#learnwithBrainly

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3 years ago

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3 years ago

A Bag of Halloween Candy weighs 4.7 pounds, how much would 3.4 bags weigh

lyudmila [28]

You could multiply the two numbers to get a product of 15.98 pounds.

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2 years ago

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2 years ago

What is the hypotenuse? legs are 10 and 11

Anit [1.1K]

Hey!

You have to use the Pythagorean Theorem

a² + b² = c²

a = 10
10² = 10 × 10 = 100

b = 11
11² = 11 × 11 = 121

100 + 121 = 221

√221 = 14.9(rounded)

Answer ⇒ 14.9

Hope this helps! :)

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2 years ago

Read 2 more answers