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
sergeinik [125]
3 years ago
13

The areas of two similar triangles are 18 cm^2 and 8 cm^2. 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
1 answer:
Nataly_w [17]3 years ago
5 0

Answer:

  3 cm

Step-by-step explanation:

The ratio of areas of similar figures is the square of the ratio of linear dimensions. That means the ratio of linear dimensions is the square root of the area ratio. The ratio of the smaller triangle dimensions to the larger is then ...

  k = √((8 cm^2)/(18 cm^2)) = √(4/9) = 2/3

Then the corresponding side of the smaller triangle is ...

... k · (4.5 cm) = (2/3)·(4.5 cm) = 3 cm

You might be interested in
I need help with 23 and 24
Galina-37 [17]
23. The answer is B) x-6.
23.) The answer is D) x + 3
4 0
2 years ago
Write the measure 29° 6' 6" as decimal to the nearest thousandth.
den301095 [7]
This angle is "29 degrees 6 minutes 6 seconds".

-- There are 60 minutes in 1 degree. 
     So 1 minute = 1/60 degree.

-- There are 60 seconds in 1 minute. 
      So 1 second = 1/60 minute = 1/3600 degree.

  29  6'  6"  =  (29)° + (6/60)° + (6/3600)°

                   =  (29)° + (0.1)° + (0.001666...)°

                   =        29.101666...°

Rounded to the nearest thousandth of a degree:  29.102°
6 0
3 years ago
How do i draw a decimal for example 0.26?
elixir [45]
First, you need convert the decimals into fraction

0.26 = 26/100 = 13/50

The next step would be drawing 50 small boxes on a piece of paper. Make it colorless.

The final stap would be giving 13 out of those 50 boxes with different color (such as black), and you're done

8 0
3 years ago
Read 2 more answers
The volume of a rectangular prism is 2,058cm. The Length of the prism is 3 times the width. The height is twice the width. Find
Nat2105 [25]

v = l x w x h

v = 2058

width = x

height = 2x

length = 3x


2058 = 3x*2x*x =

2058 = 6x^3=

343 = x^3

x = 7

2*7 = 14

3*7 = 21

21*14*7 = 2058


 height is 14 cm

5 0
3 years ago
Solve for x in the equation below(all in picture).
EleoNora [17]

Answer:

x = - 5, x = 2

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log (\frac{x}{y} )

log_{b} x = n ⇔ x = b^{n}

note that log x = log_{10} x

Given

log (x² + 3x) - log10 = 0, then

log(\frac{x^2+3x}{10} ) = 0, thus

\frac{x^2+3x}{10} = 10^{0} = 1 ( multiply both sides by 10 )

x² + 3x = 10 ( subtract 10 from both sides )

x² + 3x - 10 = 0 ← in standard form

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

Solution is x = - 5, x = 2

6 0
2 years ago
Read 2 more answers
Other questions:
  • The following data was collected from 10 visitors to Disneyland. A researcher stood at the entrance gate and interviewed the fir
    15·1 answer
  • What are the solutions of the quadratic equation below?
    12·2 answers
  • Translate triangle ABC 3 units right and 2 units down what are the coordinates for point A?
    6·1 answer
  • Ray and Cheryl each have a favor pancake recipe Ray’s recipe uses 6 3/4 cups of flour for three servings Cheryls recipe uses hal
    6·1 answer
  • Line g is dilated by a scale factor of one half from the origin to create line g'. Where are points E' and F' located after dila
    10·2 answers
  • Mr. Parvey spilled some cement paint on his patio. Since he was going to paint the patio in checker board pattern,it was marked
    12·1 answer
  • Graph solve for y 5y-x=20
    14·2 answers
  • Which hook should Riya buy?
    14·1 answer
  • Please help will mark brainliest:)
    13·1 answer
  • 6ε−2(7+3ε)&gt;5(2ε−3)−ε<br> solve the inequality
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!