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3 years ago

the perimeter of a rectangular garden is 360 m. if the width of the garden is 85 m, what is it's length?

Mathematics

2 answers:

GaryK [48]3 years ago

6 0

Answer:

95 m

Step-by-step explanation:

Ira Lisetskai [31]3 years ago

5 0

Answer: Length: 95 meters.

Step-by-step explanation:

The perimeter of a rectangle is calculated with the formula:

P = 2(L + W)

360 = 2(L + 85)

Divide both sides by 2

360 ÷ 2 = (L + 85)

180 = (L + 85)

Subtract 85 from 180

180 - 85

97 = L

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An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the d

nignag [31]

Solution:

Step 1:

We will calculate the volume of ice cream in the single scoop

The volume of the ice cream will be

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{2}{3}\pi r^3 \\ r=\frac{2in}{2}=1in(cone) \\ h=4.5in \\ r=\frac{3in}{2}=1.5in(radius\text{ of the hemisphere\rparen} \end{gathered}$

By substituting the values, we will have

$\begin{gathered} V=\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^{3} \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+\frac{2}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{14} \\ V=\frac{165}{14} \\ V=11.79in^3 \end{gathered}$

Step 2:

We will use the formula below to calculate the volume of the two scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{4}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5in+\frac{4}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{7} \\ V=\frac{132}{7} \\ V=18.86in^3 \end{gathered}$

Step 3:

We will use the formula below to calculate the volume of the three scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{6}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+2\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{297}{14} \\ V=\frac{363}{14} \\ V=25.93in^3 \end{gathered}$

For the first ice cream with one scoop

$\begin{gathered} 1in^3=\frac{3.50}{11.79} \\ 1in^3=\text{ \$}0.30 \end{gathered}$

For the second ice cream with two scoops

$\begin{gathered} 1in^3=\frac{4.50}{18.86} \\ 1in^3=\text{ \$}0.24 \end{gathered}$

For the third ice cream with three scoops

$\begin{gathered} 1in^3=\frac{5.50}{25.93} \\ 1in^3=\text{ \$}0.21 \end{gathered}$

Hence,

The final answer is

The triple sold at $5.50 has the best value because it has the lowest price of $0.21 per cubic inch of the ice cream

3 0

11 months ago

A bakery sells 2 croissants for $3 they sold 31 croissants on Monday, how much money did they make

Alisiya [41]

Since 2 croissants = $3 we can work out that 1 croissant = $1.50

Multiply $1.50 by 31 and we get $46.50

Therefore 31 croissants is $46.50

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3 years ago

How do I write these ratios 10/20 and 2/2 in y=kx form

hodyreva [135]

You would write it 2=10(20+2)

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3 years ago

Carrie started work at 8 a.m. and left at 1:30 p.m. How many hours of work should she record on her time card for the day?

vagabundo [1.1K]

Start: 8 a. m.
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13 h 30 min - 8 h = 5 h 30 min
She should record 5 hours and 30 minutes on her time card for the day.

5 0

3 years ago

Read 2 more answers

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Lostsunrise [7]

Im lost at this sorry, hope sum1 helps you out on this tho!

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3 years ago

the perimeter of a rectangular garden is 360 m. if the width of the garden is 85 m, what is it's length?​

the perimeter of a rectangular garden is 360 m. if the width of the garden is 85 m, what is it's length?