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3 years ago

Geometry Question Help please

Mathematics

1 answer:

eimsori [14]3 years ago

5 0

Answer:

31.4 cm

Step-by-step explanation:

$l = \frac{60 \degree}{360 \degree} \times 2\pi \: r \\ \\ = \frac{1}{6} \times 2 \times 3.14 \times 30 \\ \\ = 6.28 \times 5 \\ \\ = 31.4 \: cm$

Hence, length of arc = 31.4 cm.

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BONUS. Divide. Identify its quotient and its remainder (if any). (12x? – 23x – 24) = (4x+3)

Shkiper50 [21]

Answer:

its #

Step-by-step explanation:

8 0

3 years ago

As a sales person Jonathan is paid 50 per week +3% of the total Amount he sells. This week he wants to earn at least 100. Write

steposvetlana [31]

Answer:

The Inequality with integer coefficient for the total sales is $5000+3x\geq 10000$

Hence Jonathan should make total sales of at least 1667 to earn at least 100.

Step-by-step explanation:

Given:

Amount paid per week = 50

Addition amount = 3% of Total sales.

Let the Total sales be 'x'.

∴ Additional amount = $\frac{3}{100}x$

Amount he wants to earn this week $\geq$ 100

We need to write the inequality with integer coefficient for the total sales and also to find the total sales.

Solution:

We cans say that;

Amount paid per week plus Additional amount should be greater than or equal to Amount he wants to earn this week.

framing in equation form we get;

$50+\frac{3}{100}x\geq 100$

Now we will make the denominator common using LCM we get;

$\frac{50\times100}{100}+\frac{3}{100}x\geq 100$

$\frac{5000}{100}+\frac{3}{100}x\geq 100$

$\frac{5000+3x}{100}\geq 100$

Multiplying both side by 100 we get;

$100 \times\frac{5000+3x}{100}\geq 100\times 100\\\\5000+3x\geq 10000$

Hence The Inequality with integer coefficient for the total sales is $5000+3x\geq 10000$

On solving the above equation we get;

Subtracting both side by 5000 we get;

$5000+3x-5000\geq 10000-5000\\\\3x\geq 5000$

Dividing both side by 3 we get;

$\frac{3x}{3}\geq \frac{5000}{3}\\\\x\geq 1666.67$

Hence Jonathan should make total sales of at least 1667 to earn at least 100.

5 0

4 years ago

Write 6.93 repeating a mixed number in simplest form. 6.93 =?

Sergeu [11.5K]

Answer:

$6\frac{93}{100} = \frac{693}{100}$

Step-by-step explanation:

Turn 6.93 into a fraction: $6\frac{93}{100}$
To turn into a mixed number, first multiply 6 and 100, then add 93. Put 693 over 100: $\frac{693}{100}$

I hope this helps!

3 0

4 years ago

Read 2 more answers

(b) What portion of the official U.S. poverty threshold (roughly $29,000 for a family of four) is met by the World Bank’s measur

otez555 [7]

World Bank's threshold for poverty is $1.25 per person per day.
For a family of four this gives:
Daily income = (number of people) * threshold
Daily income = 4 * $1.25
Daily income = $5
For a year this is:
Yearly income = (daily income) *365
Yearly income = $5 *365
Yearly income = $1825

U.S. poverty threshold is set at $29000. Portion of threshold can be calculated as:
$Portion\text{ }of\text{ }threshold= \frac{Poverty\text{ }threshold\text{ }(World\text{ }Bank)}{Poverty\text{ }threshold\text{ }(U.S.)} *100\% \\ \\ Portion\text{ }of\text{ }threshold= \frac{1825}{29000} *100\% \\ \\ Portion\text{ }of\text{ }threshold=6.29\%$

The poverty threshold measured by World Bank is 6.29% of the U.S. poverty threshold.

5 0

3 years ago

A sequence of numbers begins with 12 and progresses geometrically. each number is the previous number divided by 2. which value

Viefleur [7K]

1/2 value can be used as the common ratio in an explicit formula that represents the sequence.

Definition of sequence -

The following of one thing after another; succession. order of succession: a list of books in alphabetical sequence.
A continuous or connected series: a sonnet sequence. something that follows; a subsequent event; result; consequence.

A sequence that progresses geometrically has the first term as 12.

Each number is the previous number divided by 2.

so the sequence will be 12, 6, 3, 1.5...........

Explicit formula of a geometric sequence is given by

$T_{n} = ar^{n-1}$