answer.
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
Olin [163]
1 year ago
10

City planners are creating a 3-dimensional model of a city park to find the best placement for a new tennis court. The city park

is on a rectangular plot of land that is 1,500 ft long and 600 ft wide. The scale model of the park measures 7.5 ft x 3 ft. If the dimensions of the actual tennis court must be 120 ft long and 60 ft wide, what are the dimensions of the tennis court in the scale model?
Mathematics
1 answer:
inn [45]1 year ago
8 0
First, divide the original measurements with the scaled ones. You'll get the same answer meaning that is the scale used by the model.
1500 ft. ÷7.5 ft = 200
600 ft. ÷ 3 ft. = 200
 
To simply check, if you divide 1500 with 200, the answer is 7.5 and 600 divided by 200 is 3.
To find the  scaled dimension of the tennis court with actual dimension of 120 ft by 60 ft, divide both values with the scale used in the model which is 200.

120 ft. ÷ 200 = 0.6 ft
60 ft. ÷ 200 =  0.3 ft

The dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft. wide.

You might be interested in
A sportswriter makes his pre-season picks for the top ten teams finish. If there are forty teams, how many different lists could
Anettt [7]
\bf _nC_r=\cfrac{n!}{r!(n-r)!}\qquad 
\begin{cases}
n=40\\
r=10
\end{cases}\implies _{40}C_{10}=\cfrac{40!}{10!(40-10)!}
6 0
1 year ago
A right prism has a rhombus as a base. the height of the prism is 6 inches and the volume is 144 cubic inches. which could be th
Alex
The answer is C 6in by 8 in. 
5 0
1 year ago
Read 2 more answers
Calculate a23 for the product of the following matrices
s344n2d4d5 [400]

If A is the matrix product

A=\underbrace{\begin{pmatrix}1&2\\4&3\end{pmatrix}}_{M_1}\underbrace{\begin{pmatrix}6&1&5\\7&3&4\end{pmatrix}}_{M_2}

and a_{2,3} is the entry of A in the second row and third column, then

a_{2,3}=\begin{pmatrix}4&3\end{pmatrix}\begin{pmatrix}5\\4\end{pmatrix}=4\times5+3\times4=\boxed{32}

That is, the 2nd row, 3rd column entry of A is the product of the 2nd row of M_1 and the 3rd column of M_2.

6 0
1 year ago
Tim has an after-school delivery service that he provides for several small retailers in town. He uses his bicycle and charges $
nlexa [21]

Answer:

<em>$4.84</em>

<em></em>

Step-by-step explanation:

Given that

For delivery within 1\frac{1}2 mi, charges = $1.25

For delivery within 1\frac{1}2 mi - 1\frac{3}4 mi, charges = $1.70

For delivery within 1\frac{3}4 mi - 2 mi, charges = $2.15

and

so on.

i.e.

For delivery within 2 mi - 2\frac{1}4 mi, charges = $2.60

For delivery within 2\frac{1}4 mi - 2\frac{1}2 mi, charges = $3.05

For delivery within 2\frac{1}2 mi - 2\frac{3}4 mi, charges = $3.50

For delivery within 2\frac{3}4 mi - 3 mi, charges = $3.95

For delivery within 3 mi - 3\frac{1}4 mi, charges = $4.40

So, every 0.25 mi or \frac{1}4 mi increase in distance, there is an increase of $0.45 in the charges.

It is given that there is increase of 10% in the rates.

i.e. for every 0.25 mi increase in distance, there is an increase of 0.45*1.10 = $0.495 in the charges.

The distance of 3\frac{1}8 miles lies within the range 3 mi - 3\frac{1}4 mi.

So actual charges after increase of 10%

\Rightarrow \$4.40 \times \dfrac{110}{100}\\\Rightarrow \$4.40 \times 1.10\\\Rightarrow \bold{\$4.84}

6 0
2 years ago
Triangle RST was dilated by a scale factor of One-half. The image, triangle R'S'T', is an isosceles triangle, with each leg meas
andrew11 [14]

Answer:

The length side of the pre-image is 16 units

Step-by-step explanation:

we know that

The length side of the image is equal to the length side of the pre-image multiplied by the scale factor

or

The length side of the pre-image is equal to the length side of the image divided by the scale factor

in this problem we have that

The scale factor is 1/2

The length side of the image is 8 units

therefore

8/(1/2)=16 units

The length side of the pre-image is 16 units

8 0
2 years ago
Read 2 more answers
Other questions:
  • Layla is using her compass and straightedge to complete a construction of a polygon inscribed in a circle. Which polygon is she
    15·1 answer
  • How do you write algebraic expressions to model quantities?
    5·1 answer
  • Sales prices of baseball cards from the 1960's are known to possess a skewed-right distribution with a mean sale price of $5.25
    11·2 answers
  • Relationship B has a lesser rate than Relationship A. The graph represents Relationship A. Which table could represent Relation
    12·2 answers
  • I need to know how to solve part b please!
    7·1 answer
  • Mr.Kim has 550 take-out boxes at his restaurant. He estimates that he will use 80 boes per week. Mr. Kim wants to re-order more
    9·1 answer
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    6·1 answer
  • The square shown has a perimeter of 32 units. The square is rotated about line k.
    13·2 answers
  • The polygons below are similar. Find the value of y. (2 points)
    10·1 answer
  • A researcher wants to know how professional athletes in her city feel about safety measures. She obtains a list of 952 professio
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!