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3 years ago

A turntable has a diameter of 40 cm what is its circumference

Mathematics

1 answer:

Naddika [18.5K]3 years ago

3 0

Answer:

125.6 cm

Step-by-step explanation:

Diameter (d) = 40 cm

Circumference = πd

= 3.14 * 40

= 125.6 cm

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The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.

Dmitry [639]

The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
$\frac{360}{100} = \frac{130}{M} \\ M=(100*130)/360 \\ M=36.11$ %

women voters
$\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89$ %

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters

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4 years ago

Can you identify these numbers as rational or irrational. Please explain.<br><br> -√127 and 291.87

irina [24]

An irrational number/value is one you cannot express in terms of a ration, or a fraction, it cannot be written as fraction

now 291.87... is simple, two decimals, so you use two zeros at the botom and end up with $\bf \cfrac{29187}{100}$ and boom, there you are, a fraction, nice and dandy

now, let's see the first one -√(127) well, low and behold, 127 is a prime number, and and thus is has no two factors that'd serve as root, so, there's no rational root that'd give that, that makes it irrational

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3 years ago

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77julia77 [94]

4 Options bc its correct ome

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3 years ago

5. Abbey Road Motors pays a percent commission to its sales people. They are paid

ira [324]

Answer:

c(p) = {0.2 p ⇒ p < 1000

0.24 p - 40 ⇒ 1000 ≤ p ≤ 2000

0.29 p - 140 ⇒ p > 2000}

Step-by-step explanation:

* Lets explain how to solve the problem

- The profit is represented by p

1. If the profit is under $1,000, the commission rate is 20%

∵ The profit is p < 1000

∵ 20% of p = $\frac{20}{100}*p$ = 0.2 p

∵ c(p) is the function of the commission

∴ c(p) = 0.2 p when p < 1000

2. If the profit is at least $1,000 and less than or equal to $2,000, the

commission rate is 20% of the first $1,000 and 24% of the remainder

of the profit

- At least means greater than or equal

∵ The profit 1000 ≤ p ≤ 2000

- The commission is divided into 20% of first $1000 and 24% of

the reminder

∵ 20% of 1000 = $\frac{20}{100}*1000$ = 200

∵ The remainder of the profit = p - 1000

∵ 24% of the remainder profit = $\frac{24}{100}*(p-1000)$

= 0.24(p - 1000) = 0.24 p - 240

∴ The total commission = 200 + 0.24 p - 240

∴ The total commission = 0.24 p - 40

∴ c(p) = 0.24 p - 40 when 1000 ≤ p ≤ 2000

3. If the profit is above $2,000, the rate is 20% of the first $1,000

of profit, 24% of the next $1,000 of profit, and 29% of the amount

of profit over $2,000

∵ The profit p > 2000

- The commission is divided into 20% of first $1000 and 24% of the

next $1,000 of profit, and 29% of the amount of profit over $2,000

∵ 20% of 1000 = $\frac{20}{100}*1000$ = 200

∵ 24% of 1000 = $\frac{24}{100}*1000$ = 240

- The amount of profit over $2,000 = p - 2000

∵ 29% of the amount of profit over $2,000 =

$\frac{29}{100}*(p-2000)$ = 0.29(p - 2000)

= 0.29 p - 580

∴ The total commission = 200 + 240 + 0.29 p - 580

∴ The total commission = 0.29 p - 140

∴ c(p) = 0.29 p - 140 when p > 2000

* The commission function is:

c(p) = {0.2 p ⇒ p < 1000

0.24 p - 40 ⇒ 1000 ≤ p ≤ 2000

0.29 p - 140 ⇒ p > 2000}

6 0

3 years ago

The volume of two spheres is shown:

Sliva [168]

Answer: 20.0 inches

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A turntable has a diameter of 40 cm what is its circumference ​

A turntable has a diameter of 40 cm what is its circumference