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3 years ago

The area of a circle is 28.26 square centimeters. What is the circle’s diameter?

Mathematics

1 answer:

ikadub [295]3 years ago

4 0

Answer:

The circle's diameter is 6cm

Step-by-step explanation:

A = 28.26 cm^2

D = $\sqrt[2]{\frac{A}{\pi } }$

D = $\sqrt[2]{\frac{28.26}{\pi } }$

D = 6cm

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Shia wants to save the same amount of money each month. In 4 month, she wants savings of at least 200. How much money must Shia

Ilia_Sergeevich [38]

Answer: $50 per month

Step-by-step explanation: Take 400 and divide it by the amount of months.

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3 years ago

Read 2 more answers

A box of volume 180 m3 with square bottom and no top is constructed out of two different materials. The cost of the bottom is $4

zysi [14]

Answer:

Side of square bottom=6.46 m

Height of box=4.31 m

Step-by-step explanation:

Let s be the side bottom

Height of box=h

Volume of box= $180m^3$

Volume of box= $lbh=s^2h$

$s^2h=180$

$h=\frac{180}{s^2}$

Cost of bottom=$40 per square m

Cost of sides =$30 per square m

Total cost= $C=40s^2+30(4sh)$

$C=40s^2+120s\times \frac{180}{s^2}$

$C(s)=40s^2+\frac{21600}{s}$

Differentiate w.r.t s

$C'(s)=80s-\frac{21600}{s^2}$

$C'(s)=0$

$80s-\frac{21600}{s^2}=0$

$80s=\frac{21600}{s^2}$

$s^3=\frac{21600}{80}=270$

$s=(270)^{\frac{1}{3}}=6.46$

Again,differentiate w.r.t s

$C''(s)=80+\frac{43200}{s^3}$

Substitute s=6.46

$C''(6.46)=80+\frac{43200}{(6.46)^3}=240.2>0$

Hence, the cost is minimum at s=6.46

$h=\frac{180}{s^2}=\frac{180}{(6.46)^2}=4.31$

Side of square bottom=6.46 m

Height of box=4.31 m

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2 years ago

What is the product of 3x1/5?

vagabundo [1.1K]

Answer: 3/5

Step-by-step explanation: 1/5*3=1/5+1/5+1/5=3/5

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3 years ago

Janice drove 360 miles in 6 hours. If she travels a constant rate, calculate the distance she will cover in 7 hours?

Hitman42 [59]

Answer:

420 Mile's.

Step-by-step explanation:

First you figure out the unit rate by dividing 360 by 6 which is 60. So that's 60 miles per hour. Now multiply 60 by 7 to find out how many miles she will drive in 7 hours. When you multiply you get 420.

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2 years ago

Bags of sugar come in 3 sizes:

Mrrafil [7]

Answer:

Medium

Step-by-step explanation:

The computation is shown below:

The cost for the small and medium bag is shown below:

As we know that

1kg = 1000g

So 3kg = 3000g

Now for small bags

= 0.95 ÷ 250 × 3000

= £11.40

For medium bags

= £1.80 ÷ 500 × 3000

= £10.80

So here the medium bag would represent the better value

5 0

2 years ago