1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ne4ueva [31]
3 years ago
12

A civil engineer creates a scale model of a rectangular park. The model has a width of 8 cm and covers an area of 96 square cm.

The actual park is designed to have a width of 72 meters. ​ How many square meters is the actual park?
Mathematics
1 answer:
vova2212 [387]3 years ago
7 0

Answer:

The actual park has 0.7776 square meters

Step-by-step explanation:

To solve this we first have to find the value of the scale

We know that the width of the model is 8cm and that of the true park is 72cm², so if we divide 72 by 8 we will obtain the value of the scale

72 / 8 = 9

To find out how much the park area has, the park first we have to multiply 96cm² by the scale

As the scale of 9 is made for width and length, when we calculate the area it will be multiplied 2 times by 9, so to calculate the real area we have to multiply it 2 times

96cm² * 9 * 9 = 7776cm²

if we want the result in square meters we simply have to divide the result by 100²

7776cm²/100² = 7776cm² / 10,000

0.7776m²

The actual park has 0.7776 square meters

You might be interested in
Someone help me with this geometry homework !!!!!! 10 points!
Reil [10]

Answer:  3a = (0, 1)       3b = (2, 1)      3c = (2.5, 1)      3d = (1.6, 1)

               4a = (2, 3.5)             4b = (2, 3)           4c = (2, 5.375)

<u>Step-by-step explanation:</u>

The length of AB is 6 and is horizontal (affects the x-coordinate)

3a)\quad 6\bigg(\dfrac{1}{2}\bigg)\quad =3\qquad \qquad A(-2, 1) +(3, 0)= C(1,1)\\\\\\3b)\quad 6\bigg(\dfrac{2}{3}\bigg)\quad =4\qquad \qquad A(-2, 1) +(4,0)= C(2,1)\\\\\\3c)\quad 6\bigg(\dfrac{3}{4}\bigg)\quad =\dfrac{9}{2}\qquad \qquad A(-2, 1) +(4.5,0)= C(2.5,1)

3d)\quad 6\bigg(\dfrac{3}{5}\bigg)\quad =\dfrac{18}{5}\qquad \qquad A(-2, 1) +(3.6,0)= C(1.6,1)

***********************************************************************************

The length of AB is 5 and is vertical (affects the y-coordinate)

4a)\quad 5\bigg(\dfrac{1}{2}\bigg)\quad =\dfrac{5}{2}\qquad \qquad A(2, 1) +(0,2.5)= C(2,3.5)\\\\\\4b)\quad 5\bigg(\dfrac{2}{5}\bigg)\quad =2\qquad \qquad A(2, 1) +(0,2)= C(2,3)\\\\\\4c)\quad 5\bigg(\dfrac{7}{8}\bigg)\quad =\dfrac{35}{8}\qquad \qquad A(2, 1) +(0,4.375)= C(2,5.375)

4 0
3 years ago
A destroyer on patrol spots an aircraft at an altitude of 10,000 ft and an angle of elevation of 20⁰. How far is the aircraft fr
Reika [66]

sin= \frac{opp}{hyp} \\\\sin (20) = \frac{10000}{hyp}\\\\hyp= \frac{10000}{sin(20)} \\\\hyp= 29238 ft

The aircraft is 29238 ft from the ship

//

Note: this is based on my assumption that we are looking for the hypotenuse.

If we are looking for the adjacent side, then the answer would be 27475 ft.

4 0
2 years ago
The volume of a triangular prism with base dimensions of 4 cm height and 10 cm base and a prism height of 15 cm is??
jonny [76]
I think you can do this way:
Volume = B*h where B is the area of the base.
B= 4 * 10 = 40
V= 40 * 15
V= 600 cm^3
5 0
3 years ago
Read 2 more answers
Classify the triangle by side length and angle measure
grin007 [14]

Answer:

Isoceles Obtuse

Step-by-step explanation:

This triangle has 2 sides with the same side lengths and 2 of the same angles, so it is an isoceles triangle. Is it obtuse or actue? Well, we can see that there is an angle greater than 90 degrees, so this is an obtuse isoceles triangle.

4 0
2 years ago
What is the equivalent ratio of 9 to 11
Zepler [3.9K]

<span>
9 to 11 = 9:11</span>

<span />If u times 2 you will get 18:22 which is equivalent to 9:11

<span>Next u could do 18:22 times 2 to get another equivalent answer to 9:11 </span>

<span /><span>You could just continue this to get more equivalent answer to 9:11</span>

<span>HOPE MINE IS THE BRAINLIEST </span>

7 0
3 years ago
Read 2 more answers
Other questions:
  • The admission fee at a movie theater is $5 for children and $9 for adults. If 3200 people go to the movies and $24000 is collect
    9·1 answer
  • (a^2 + 3a - 18 / a^2 - 5a +6)(5a - 10 / a^2 -36)
    12·1 answer
  • Pedro has a mass of 72kg. What would Pedro weigh on Mars? (The gravitational field strength on Mars is 3.7N/kg.)
    13·1 answer
  • Can someone help me with this problem:
    10·1 answer
  • Franchise Business Review stated over 50% of all food franchises earn a profit of less than $50,000 a year. In a sample of 130 c
    11·1 answer
  • F(x)=2x+8 find the value of f(6)
    14·2 answers
  • Select the correct answer.<br><br><br> Which number line represents the number 0.7?
    15·2 answers
  • Need help ASAP pls I have 20 min
    15·1 answer
  • 3w - 11 = 25<br> can someone answer this plz
    8·2 answers
  • Function is defined by f(x) = x2 - 4x + 8. The graph of function g is shown.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!