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ololo11 [35]
2 years ago
11

A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 Miles. What

is the actual area of the park? Show how you know.
Mathematics
1 answer:
MakcuM [25]2 years ago
5 0

Answer:

The actual area 21600 miles²

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- A drawing that shows a real object with accurate sizes reduced or

 enlarged by a certain amount called the scale

- Drawing scale is a ratio between the drawing length and the

 actual length

- To find the actual dimensions from the drawing dimensions use the

  scale drawing

*<em> Lets solve the problem</em>

- A map of a rectangular park has a length of 4 inches and a width

 of 6 inches

∴ The drawing dimensions are:

# length = 4 inches

# width = 6 inches

- The scale of the map is 1 inch foe every 30 miles

∴ The scale drawing is 1 : 30

- To find the actual area find the actual dimensions

∵ The scale drawing is 1 : 30

∵ The length = 4 inches and the width = 6 inches

- By using cross multiplication

∴  1        :        30

   4       :  actual length

   6       :  actual width

∴ Actual length = (4 × 30)/1 = 120

∴ Actual length = 120 miles

∴ Actual width = (6 × 30)/1 = 180

∴ Actual Width = 180 miles

∴ The actual dimensions are 120 miles and 180 miles

∵ The area of any rectangle = length × width

∴ The actual area = 120 × 180 = 21600

∴ The actual area 21600 miles²

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The figure shows the design of a greenhouse with a rectangular floor. The front and back sides of the greenhouse are semicircles
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Answer:

  96 cubic feet

Step-by-step explanation:

A volume that is 16 ft by 18 ft by 1/3 ft will be ...

  V = LWH

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96 cubic feet of concrete are needed.

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2 years ago
Using the defects method, which of these relationships represents the Law of Cosines if the measure of the included angle betwee
horrorfan [7]
Asked and answered elsewhere.
brainly.com/question/1410592

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Google doesn't recognize the terms "defects method" except in association with various postings of this same problem.
4 0
2 years ago
19% of a certain population of students at Hardy-Weinberg equilibrium is affected by an autosomal dominant condition called ‘laz
bazaltina [42]

Answer:

81%

Step-by-step explanation:

Let 'L' be the dominant and 'l' e the recessive allele for ‘lazybuttness’.

Since ‘lazybuttness’ is an autosomal dominant condition, the 19% of students affected by the condition correspond to the  homozygous dominant (LL) and heterozygous (Ll) genotypes. Therefore, the rest of the population has the homozygous recessive genotype (ll) and is not affected. The frequency of students not affected is:

F = 100% - 19% = 81%

3 0
1 year ago
A restaurant owner was experimenting with the taste of her homestyle lemon drink. She started with 60 litres of water. She remov
Burka [1]

Answer:

ratio of pure lemon juice to water in the homestyle lemon  drink is 5 : 19.

Step-by-step explanation:

In order to solve the final ratio of lemon juice to water, let us start by determining the initial ratio of pure lemon juice to water in the first mix. This is done as follows:

Total volume of mixture = 60 liters

initial volume of water = 60 liters

initial volume of lemon juice = 0 liters

1) She removed 15 liters of the water and replaced it with 15 liters of pure lemon juice.

Volume of water = 60 - 15 = 45 liters

Volume of lemon juice = 15 liters

 \therefore \frac{15}{60}\ = \frac{1}{4}\  of\ the\ first\ mix\ is\ lemon\ juice\\\frac{45}{60}\ = \frac{3}{4}\  of\ the\ first\ mix\ is\ pure\ water

2) She removed 10 liters of the new mixture

Let us convert this amount removed into ratio:

lemon\ juice\ = \frac{1}{4}\ \times 10 = \frac{10}{4} = \frac{5}{2}\ liters.\\  \therefore the\ owner\ removes\ \frac{5}{2}\ liters\ of\ pure\ lemon\ juice\\pure\ water\ = \frac{3}{4}\ \times 10 = \frac{30}{4} = \frac{15}{2}\ liters\\  \therefore\ the\ owner\ removes\ \frac{15}{2}\ liters\ of\ water\ from\ the\ first\ mix.

New volumes of water and lemon juice after removing the 10 liters of mixture is calculated as follows:

lemon\ juice\ = 15 - \frac{5}{2} = \frac{30-5}{2} = \frac{25}{2}\ liters\ of\ lemon\ juice\\pure\ water\ = 45 - \frac{15}{2} = \frac{90-15}{2} = \frac{75}{2}\ liters\ of\ pure\ water

3) and replaced it with 10 liters of water.

New\ volume\ of\ water\ = 10 + \frac{75}{2} = \frac{20+ 75}{2} = \frac{95}{2}\ liters

The final ratio of lemon juice to water:

\frac{25}{2} : \frac{95}{2}\\= 25 : 95\\= 5 : 19

Therefore, the final ratio of pure lemon juice to water in the homestyle lemon  drink is 5 : 19.

4 0
1 year ago
The cheerleaders are making a banner that is 8 feet wide. The length of the banner is 1 1/3 times the width of the banner. How l
luda_lava [24]
The banner is around 10.6 feet. It's because all you need to do is to divide 8 by 3, and then add it with 8 times 1 (since it's 1 1/3 times the width of 8 feet). Once you add up the two answers that we first got, you will be able to get 10.66666, or just simply 10.6 feet.
5 0
1 year ago
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