City Park is a right triangle with a base of 40 yd
and a height of 25 yd. On a map, the park has a
base of 40 in. and a height of 25 in. What is the
ratio of the area of the triangle on the map to
the area of City Park?

Answers

Answer 1

Answer:

Let's Convert yards into inches

Base = 40 yards = 1440 inches

Height = 25 yards = 900 inches

Base (Map)/Base (Actual)

40/1440 = 1 : 36

Height (Map)/Height (Actual)

25/900 = 1 : 36

I hope it helps you!

Step-by-step explanation:

Let's expand our knowledge even more by explaining.

The scale of the height and the width is 1 inch equals 1 yard.

the scale of the area would be 1 square inch equals 1 square yard.

for example:

the area of a triangle is equal to 1/2 * base * height.

the base on the map is 40 inches and the height on the map is 25 inches.

the area on the map is therefore 1/2 * 40 * 25 = 500 square inches.

the base in the real world is 40 yards and the height in the real world is 25 yards.

the area in the real world is therefore equal to 1/2 * 40 * 25 = 500 square yards.

the ratio of the area on the map to the area in the real world is 500 square inches / 500 square yards equals 1 square inch / 1 square yard.

that's 1 square inch to 1 square yard.

in general, if the scale in the linear measurements were a/b, then the scale in area would be (a/b)^2.

since your scale in linear measurements is 1/1, then the scale in area would be (1/1)^2 which is equal to 1/1.

assuming the scale in linear measurements were 1/2, then the scale in area would be (1/2)^2 = 1^2/2^2 = 1/4.


Related Questions

The citizens of a city were asked to choose their favorite pet. The circle graph shows how the citizens answered. If 65,000
citizens answered the question, how many chose Dogs or Snakes?

Answers

Answer:

Dogs: 14,300 people

Snakes: 3,900 people

Urgent, please reply as soon as possible! 30 points on brainly!
The above graph shows the acceleration of an object. use the information from the graph to answer the following question. During which section of the graph is there no acceleration? Explain why or why not.

Answers

Answer:

during section b

Step-by-step explanation:

the line is flat

Answer:

Yes beavause the graph goes up and then straight down

Step-by-step explanation:

can you answer my question?


Please answer this question thank you

Answers

Answer:

74

Step-by-step explanation:

What I'm getting at, is that you need to add all the hour sold cups up, and then double it because she expects to sell twice as much. 15 + 11 +5 +6 = 37, and 37 doubled is 74

Answer:

74 cups

Step-by-step explanation:

Total for today: 37

6 + 5 + 11 + 15 = 37

Tomorrow is twice of today

2(37) = 74

I hope this helps!

Carmen is a professor at a local university. In collecting data on her Introduction to Business course for a year, she wants to calculate the z-score for a student who scores a 92 on the final exam. The mean and the standard deviation scores on the exam are 76 and 6, respectively. Calculate the z-score.

Answers

The z score of a student who scores a 92 on the final exam is 2.67.

Z score

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where x is the raw score, μ is the mean and σ is the standard deviation

Given that σ = 6, μ = 76. For a raw score of 92:

z = (92 - 76) / 6 = 2.67

The z score of a student who scores a 92 on the final exam is 2.67.

Find out more on Z score at: https://brainly.com/question/25638875

Which algebraic expression is equivalent to the expression below?9x+12y

Answers

Answer:

69f

Step-by-step explanation:

A sofa is being sold for $378 this is a 28% discount what is the original price

Answers

$378 is 72% of the original price.

72% = $378

1% = $378/72

1% = $5.25

100% = $5.25(100)

100% = $525

The original price of the sofa is $525

Hope this helps!

can you help me plz do it asap


What are the coordinates of point A?


On a coordinate plane, point A is 4 units to the left and 3 units down.

(–4, 3)

(3, –4)

(–3, –4)

(–4, –3)

Answers

The answer is (-4,-3)

What's the answer for 6m^2+18m+17=-3m^2+9

Answers

Answer:

m=−2/3 or m=−4/3

Step-by-step explanation:

Step 1: Subtract -3m^2+9 from both sides.

6m^2+18m+17−(−3m^2+9)=−3m^2+9−(−3m^2+9)

9m^2+18m+8=0

Step 2: Factor left side of the equation.

(3m+2)(3m+4)=0

Step 3: Set factors equal to 0.

3m+2=0 or 3m+4=0

m=−2/3 or m=−4/3

What is the surface area?
4 in
4 in
4 in
square inches

Answers

pretty sure you’re gonna have to give more info

Brent and his family spent $21 for admission to the country fair. They bought two adult passes for six dollars each and three children passes for three dollars each. How much more money did Brents family spend on adults passes then children's passes?

Answers

They spent $3 more on adult passes. 6+6=12 3+3+3=9 12-9=3

The predicted high temperature for the day in Bismarck, North Dakota is 30° and the low is 7° below zero. What is the diffrence in the temperatures for the day?​

Answers

Answer:

The diffrence is 37 degrees

Step-by-step explanation:

30-(-7)=37  

1. Jacobson Animal Shelter has half as many cats as dogs.
The shelter has 30 dogs. How many total animals does the
shelter have?

Answers

Answer:

45

Step-by-step explanation:

30/2=15 +30=45

Answer:

The Jacobson Animal Shelter has 45 total animals.

Step-by-step explanation:

dogs = 30

cats = 30/2

cats = 15

dogs + cats = total

30 + 15 = total

45 = total

*PLEASE HELP* *IRRELEVANT ANSWERS WILL BE REPORTED AS SPAM*

A plane left Chicago at 8:00 A.M. At 1:00 P.M., the plane landed in Los Angeles, which is 1500 miles away. What was the average speed of the plane for the trip? (include units)

Find slope:
Then find the average speed of the plane for the trip

Answers

Time taken=13:00-8:00=5hDistance=1500mi

[tex]\\ \rm\hookrightarrow Avg\: Speed=\dfrac{Total\: distance}{Time}[/tex]

[tex]\\ \rm\hookrightarrow Avg\:Speed=\dfrac{1500}{5}[/tex]

[tex]\\ \rm\hookrightarrow Avg\:Speed=500mph[/tex]

Step-by-step explanation:

150/50=50

So 50mph is average speed

Formula Used :-

Speed=Distance/Time

Ling deposited $70 in a savings account earning 10% interest, compounded annually To the nearest cent , how much will she have in 3 years?

Answers

Answer:

$9.93

Step-by-step explanation:

sorry if it doesn't help.

In planning her​ retirement, Liza deposits some money at 3.5​% ​interest, with twice as much deposited at 4.5​%. Find the amount deposited at each rate if the total annual interest income is ​$2250.

Answers

a = amount deposited at 3.5%

b = amount deposited at 4.5%

we know that "b" is twice as much as "a", thus b = 2a.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3.5\% of a}}{\left( \cfrac{3.5}{100} \right)a}\implies 0.035a \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4.5\% of 2a}}{\left( \cfrac{4.5}{100} \right)2a}\implies 0.045(2a)[/tex]

we also know that whatever "a" amount is, their sum is 2250, thus

[tex]0.035a+0.045(2a) = 2250\implies 0.035a+0.09a=2250\implies 0.125a=2250 \\\\\\ a=\cfrac{2250}{0.125}\implies \boxed{a=18000}~\hspace{10em}\boxed{\stackrel{2a}{b=36000}}[/tex]

please helpppppppppppp

Answers

Answer:

[tex] \frac{x - 3}{x} [/tex]

Step-by-step explanation:

[tex]f(x) = \frac{1}{x} \: \: g(x) = x - 3 \\ \\ \implies \: (f•g)(x) = \frac{1}{x} (x - 3) \\ \\ = \frac{x - 3}{x} [/tex]

This is a grade 5 question pls help!!

Answers

Answer:

1. [tex]\frac{1}{4}[/tex]

2.[tex]\frac{3}{8}[/tex]

3.[tex]\frac{5}{8}[/tex]

4.[tex]\frac{3}{4}[/tex]

5.[tex]\frac{3}{8}[/tex]

6. [tex]\frac{0}{8}[/tex] or 0

7. [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Count the amount of each number and put it over 8.

Simplify if possible.

Hi help me please if you can

Answers

Answer:

277/8  =34.625

Step-by-step explanation:

in
What is the area of this triangle?
inz
h = 5 in.
b = 10 in.

Answers

Formula 1/2bh

1/2(10)(5)

= 25 for area!

Hope this helps

A mechanic charges a $30 flat rate plus $20 per hour. If he wants to earn at least $350 this week, how many hours will he need to work?​

Answers

Answer:

16 hours

Step-by-step explanation:

Let the mechanic works for x hours to make a money of $350.

Fixed charges = $30

Charges per hour = $20

So, charges for x hours = $20x

Total money earned = $350

[tex] \implies \: 20x + 30 = 350 \\ \\ \implies \: 20x = 350 - 30 \\ \\ \implies \: 20x = 320 \\ \\ \implies \: x = \frac{320}{20} \\ \\ \implies \: x = 16 \: hours[/tex]

Thus, the mechanic needs to work for 16 hours to make $350.

Answer
16 hours


Explanation:


Assume that the variable U represents a positive real number

Answers

Answer:

Step-by-step explanation:

use the distributive property to fill in the blanks below


4 × (8 + 3) = ( × 8) + × 8) + (x3)​

Answers

Answer:

This statement shows the Commutative Property of Multiplication. It basically says that now matter order in which you multiply, you still have the same answer because, for example, 4*5=5*4. You can multiply 4 by 5 but you could also multiply 5 by 4 because multiplication is commutative. :)

Step-by-step explanation:

Evaluate the expression
cos(30°)=

Answers

Answer:

[tex]cos (30) =\sqrt{\frac{3}{2} } =0.8660[/tex]

Step-by-step explanation:

By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.

cos(30°) = √1 – sin230°

The value of sin30° is 1/2 (Trigonometric Ratios)

cos(30°) = √1 – (1/2)2

cos(30°) = √1 – (1/4)

cos(30°) = √(1 * 4 – 1)/4

cos(30°) = √(4 – 1)/4

cos(30°) = √3/4

Therefore, cos(30°) = √3/2

Step-by-step explanation:

cos 30° is √3 /2

Also refer to the image attached

MARK ME AS BRAINLIST

A woman is 69 1/2 inches tall and her son is 66 2/9 inches tall. How much taller is the woman?

Answers

Answer:

Find The InterestRs1000 rateRs10%isRs1200

e by 9%

what is the answer in

a. 0.1e
b.0.09e
c.0.9e
d.0.91e​

Answers

Answer:

b) 0.09e

Step-by-step explanation:

9% is 9/100= 0.09 (e) =0.09e

Please help me I will give you brainliest!

Answers

Answer:

data set 1 - y=x*3.5 data set 2 - y=x*3

Step-by-step explanation:

=======

Slope is 3.5 for first one second one is slope of 3

Lincoln High School has 84 teachers. 12 of the teachers teach math. Of the 32 females teachers, 6 teach math.

What is the probability that a teacher is a woman or teaches math? Express your answer as both a fraction and a percetage.

Answers

Probabilities are used to determine the chances of events

The probability that a teacher is a woman or teaches math is 45.24%

How to determine the probability

The given parameters are:

Teachers = 84

Math teachers = 12

Female teachers = 32

Female math teachers = 6

The number of female or math teachers is:

Female or math = Math + Female - Female math

So, we have:

Female or math = 12 + 32 - 6

Female or math = 38

The probability that a teacher is a woman or teaches math is:

[tex]Pr = \frac{38}{84}[/tex]

Simplify

[tex]Pr = \frac{19}{42}[/tex]

Express as percentage

[tex]Pr = 45.24\%[/tex]

Hence, the probability that a teacher is a woman or teaches math is 45.24%

Read more about probability at:

https://brainly.com/question/25870256

Please help me with this !!!

Answers

Step-by-step explanation:

sorry bro, ìdk dis answer

G.O.O.G.L.E IT....MAYBE YOU WILL FIND THE ANSWER...

0.45 as fraction in simplified form

Answers

Answer:

9/2

Step-by-step explanation:

0.45 = 45/100 = 9/20.

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

Convert to fraction:

[tex]0.45[/tex]

Convert decimal to fraction:

[tex]\frac{45}{100}[/tex]

Reduce the fraction:

[tex]\frac{9}{20}[/tex]

A ball is thrown from an initial height of 3 meters with an initial upward velocity of 30 m/s. The ball's height h (in meters) after seconds is given by the
following
h = 3+302-57
Find all values of tfor which the ball's height is 13 meters.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
1 seconds
х
5
?
Initial
height
ground

Answers

[tex]h=3+30t-5t^2\implies 13=3+30t-5t^2\implies 0=-10+30t-5t^2 \\\\\\ 5t^2-30t+10=0\implies 5(t^2-6t+2)=0\implies t^2-6t+2=0[/tex]

now, it doesn't give us nice looking integers, so let's plug that into the quadratic formula.

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{1}t^2\stackrel{\stackrel{b}{\downarrow }}{-6}t\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~\hspace{10em} t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ t= \cfrac{ - (-6) \pm \sqrt { (-6)^2 -4(1)(2)}}{2(1)}\implies t=\cfrac{6\pm\sqrt{36-8}}{2}[/tex]

[tex]t=\cfrac{6\pm\sqrt{28}}{2}\implies t=\cfrac{6\pm\sqrt{2^2\cdot 7}}{2}\implies t=\cfrac{6\pm 2\sqrt{7}}{2}\implies t=\cfrac{2(3\pm 1\sqrt{7})}{2} \\\\\\ t=3\pm \sqrt{7}\implies t= \begin{cases} 3+\sqrt{7}\\ 3-\sqrt{7} \end{cases}\implies t\approx \begin{cases} 5.65\\ 0.35 \end{cases}[/tex]

Other Questions
What is 2/5 over 3/7?I need answer pls PLEASE HELP I NEED HELP ANSWER THE NEXT QUESTION GIVING BRAINLIEST TO CORRECT ANSWERS AND FIVE STARS WITH 20 POINTS PLEASE HELP ASAP a school is running a fundraiser. For every $75 worth of wrapping paper sold, the school receives $20. How much wrapping paper must be sold to reach the fundraising goal of $2500? What are some similarities between houses in Puerto Rico, and houses in the United States? We can calculate E, the amount of euros that has the same value as D.S. dollars, using the equation E= 17/20 D. How many euros have the same value as 1 U.S. dollar? How many U.S. dollars have the same value as 1 euro? what was the goal of baroque art? what were the characteristics of the baroque style? what would be an appropriate title for the following chart? Identify the sentence type: Single-use items, such as plastic utensils, create a large percentage of American trash, and the landfills arestarting to overflow with the amount of trash disposed of each year.O SimpleO CompoundO ComplexO Compound-ComplexWhat is the answer? (PLEASE HELP PLEASEEE!!!). Which statement accurately describes one reform in the 19th century?O Slavery ended in the United States, but the practice continued in Great Britain.O Activists focused mainly on political reforms, il nt social reforms such as education.O Women enjoyed fewer economic opportunities during the Industrial Revolution.O Women began demanding greater freedom and rights, including the right to vote. What type of bonds do halogens form in binary compounds?A. IonicB. CovalentC. Metallic In terms of product differentiation, how many benefits should a company aggressively promote to the target market?. ill give brainliest for attempt help neededWhat is an example of how public conduct, even outside of the office itself, can affect ones job? A complete vibration occurs with a motion away from a point, to the other side of the equilibrium position, and back again to the starting point; this complete vibration is called a 11. Write the complete formula for photosynthesis:Please help me please and thank you =Use , or = to make thestatements true.1 km3,000 m4L 4,000 mL Describe your understanding of what it means to conform. What ideas about conformity can be beneficial to a functioning society? What ideas about conformity can be harmful to a functioning society? (pls help me lol) A family has total assets of $240,000 and total liabilities of $180,000. What is thefamily's net worth? What is the purpose of a financial reserve? saving for retirement O creating an account for discretionary spending saving in case of a financial emergency amassing enough money for a large purchase Translate the sentence into an equation. Three less than the product of 6 and a number equals 4. Use the variable b for the unknown number. [tex]\underline{\boxed{\blue{\Large{\bf{Hello\:Brainlians}}}}}[/tex]Find the area of the triangle formed by the likes joining the vertex of the parabola x^2=12y to the ends of its latus rectum .[tex]\boxed{\sf{Note:-}}[/tex] [tex]\\ \tt\hookrightarrow Spams, plagarised\: from \:web , Short \:answers \:will \:be \:deleted\; on\:the\:spot.[/tex] [tex]\\ \tt\hookrightarrow Make\:sure\:you\:provide\:step\:by\:step\: solution\: without\: omitting\:any\:step.[/tex] [tex]\\ \tt\hookrightarrow Attach\:the\: Diagram\:for\: solution.[/tex][tex]\boxed{\bf All\:the\:best!}[/tex]