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
Gnom [1K]
3 years ago
9

The areas of two similar triangles are 18 cm2 and 8 cm2. One of the sides of the first triangle is 4.5 cm. What is the length of

the corresponding side of the other triangle?
Mathematics
2 answers:
muminat3 years ago
3 0

\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\[2em] \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ \cline{2-4}&\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array} \\\\---------------------------------

\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{large}{small}\qquad \qquad \cfrac{side^2}{side^2}=\cfrac{area}{area}\implies \cfrac{4.5^2}{s^2}=\cfrac{18}{8}\implies \cfrac{4.5^2}{s^2}=\cfrac{9}{4}


\bf \left( \cfrac{4.5}{s} \right)^2=\cfrac{3^2}{2^2}\implies \cfrac{4.5}{s}=\sqrt{\cfrac{3^2}{2^2}}\implies \cfrac{4.5}{s}=\cfrac{3}{2}\implies 9=3s \\\\\\ \cfrac{9}{3}=s\implies 3=s

Anettt [7]3 years ago
3 0

Answer:

The corresponding side is 3 cm

Step-by-step explanation:

When we have area, it is the related to the scale factor by the scale factor squared

Area large/ area of small = 18/8 = 9/4

Take the square root

sqrt(9/4)  = 3/2

The scale factor is 3/2    large to small

The large side is 4.5 cm

large         3            4.5 cm

--------   =  ------ =  -----------

small           2           x cm

Using cross products

3x = 2(4.5)

3x =9

Divide each side by 3

3x/3 = 9/3

x =3

You might be interested in
What is the multiplicative rate of change of the function???
laiz [17]
Answer:
i think its 2/3
8 0
2 years ago
Jim leaves the gym running 5 mph. Ten minutes later Bob leaves the gym on his bike traveling at a speed of 8 mph. how long will
podryga [215]

Answer:

26 2/3 minutes:  The two boys meet after 26 2/3 minutes

Step-by-step explanation:

Distance covered by Jim = Distance covered by Bob

     (5 mph)(t)                      = (8 mph)(t - 10)

Simplify this by performing the indicated multiplication:

           (5 mph)(t)                 = (8 mph)(t) - 80 mi

or:

                 80 mi                 = (3 mph)(t), or

     80 mi

t = ----------- = 26 2/3 minutes

     3 mph

7 0
3 years ago
Read 2 more answers
Please help me!!
quester [9]

Answer:

Step-by-step explanation:

A. False. The probability of drawing a green marble twice is even smaller (It may be true though depending on what the question is asking, if it is asking the chance of drawing a green marble second is the same as the 1st chance, then yes it is True.

B.False

C. False

D.True, 1/3*1/3 (Simplified version of 6/18*6/18) is 1/9

E. False (Although this may be true, again depending on the type of question)

F. False

3 0
1 year ago
A man 6ft tall walks at a rate of 6ft/s away from a lamppost that is 23 ft high. At what rate is the length of his shadow changi
Alekssandra [29.7K]
Suppose,
x = distance of the man
<span>s = length of the shadow</span>

<span>Using the idea of similar triangles</span>

<span>6/s = 23/(x + s) </span>

<span>Simplifying:</span>
we get,
<span>6(x + s) = 23s </span>

<span>6x + 6s = 23s </span>

<span>6x = 17s </span>

<span>Differentiating with respect to time, </span>

<span>6(dx/dt) = 17(ds/dt) </span>

<span>Manipulating the above equation for ds/dt,</span>

<span>ds/dt = (17/6)(dx/dt) </span>

<span>ds/dt = (17/6)(6) </span>

<span>ds/dt = 17 ft/sec.</span>
6 0
2 years ago
Ratio problem, please give solution as well.
Allushta [10]
It's $21,000. You multiply $24,000 by 12.5% which is $3,000 then you minus that to 24,000.
6 0
3 years ago
Other questions:
  • In circle Y, What is mTU?
    5·2 answers
  • Andy estimated that he would need 71 feet of lumber for a tree house project. He later found that the actual amount of lumber ne
    6·2 answers
  • 3. For g(x) = x - 12 and h(x) = 2x + 9, h(x) – g(x) =​
    11·2 answers
  • I need help with this​
    6·2 answers
  • 1. Name of the missing segment.<br> 2.Length of the missing segment.
    8·2 answers
  • Please help! Will give the brainiest!!
    12·1 answer
  • Someone please help !!
    9·1 answer
  • 3(n+1)=15-n solve for n
    7·1 answer
  • Use the quadratic formula to solve the equation <br> 25x^2-30x+25=0
    8·1 answer
  • 4 1/6 + 5 2/3Enter your answer as a mixed number in simplest form
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!