MATHEMATICS MIDDLE SCHOOL

If the sides of two similar triangles are in the ratio of 3:5, find the ratio of their areas.

Answers

Answer 1
Answer:

Ratio of areas of similar triangles is 9 : 25.

Solution:

Given data:

Ratio of sides of two similar triangles = 3 : 5

To find the ratio of areas of the triangles:

We know that,

In two triangles are similar, then the ratio of their area is equal to the square of the ratio of their sides.

$\text{Ratio of areas} = \frac{\text{Area of triangle 1}}{\text{Area of triangle 2} }

                      $=\left((3)/(5)\right) ^2

                      $=(9)/(25)

Ratio of areas of similar triangles is 9 : 25.
Answer 2
Answer:

Answer:

16

:

81

Explanation:

Scale factor for the sides of these triangles.

k

=

4

9

.

Therefore the ratio of area will be:

k

2

=

Area Triangle A

Area triangle B

k

2

=

(

4

9

)

2

=

16

81

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A number divided by 40 has a quotient of 6 with a remainder of 16.Ffind the number
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What is 3/4 of 16? Can you show an example?

Answers

3/4 of 16 simply mean what is 3/4 times 16. OF means MULTIPLICATION, there for we know that we have to multiply. 

  3       6        18
-----x ----- =  -----  now since we have and improper fraction, we divide. 2  4
  4       1          4                                                                                             ----
                                                                                                                        4 is now the answer, but we have to simplify.         2  1
                                                                              ----
                                                                                1  is the final answer.

(hope this helps)

The New York Knicks play in Madison square garden, the Los Angeles Lakers play in the staples center and the Miami heat play in American Airlines arena. Madison square garden is about 2.8*10^3 miles from staples center and Madison square garden is about 1.4*10^3 miles from American Airlines arena. How many times of the distance the knicks play the Miami heat to the distance the knicks travel to play the lakers?

Answers

Answer:

The distance traveled by knicks when they play Miami heat is 0.5 times of distance traveled by knicks when they play Los Angeles Lakers.

Explanation:

Teams and their courts.

 New York knicks - Madison square garden

 Los Angeles Lakers  - Staples center

 Miami heat - American Airlines arena

Distance between courts.

 Madison square garden to Staples center = 2.8*10^3miles

 Madison square garden to American Airlines arena = 1.4*10^3miles

When knicks play Miami heat distance traveled = Distance between Madison square garden and American Airlines arena

                                = 1.4*10^3miles

When knicks play Los Angeles Lakers distance traveled = Distance between Madison square garden and Staples center

                                = 2.8*10^3miles

Ratio of distances traveled = (1.4*10^3)/(2.8*10^3) =0.5

So, The distance traveled by knicks when they play Miami heat is 0.5 times of distance traveled by knicks when they play Los Angeles Lakers.

How do you do this ?

Answers

fg is 9 because 3 times 3 is 9
So the 3x means three times then u multiply by three

(9-7i)–(4i +15)
What’s the answer

Answers

Answer:

-6 - 11i.

Step-by-step explanation:

(9-7i)–(4i +15)

= 9 - 7i - 4i - 15     Add like terms:

= -6 - 11i.

What number is 100 less than 694

Answers

Easy!
          694
        -
          100
         --------
          594
the answer is 594 because all you have to do is take 1 away from the 6.

Sasha drove from her house to the grocery store in 20 minutes. Her return trip took 15 minutes. If the store is 7 miles from her house, what was Sasha's average speed for the round trip, in miles per hour?

Answers

Total time = 35 minutes
Total distance = 14 miles

I would set this up as a proportion

14/35 = x/60  (60 minutes in an hour)
Now cross multiply and solve.
35x = 840
840/35 = 24 mph
distance = rate * time
7 miles = rate * 20 minutes 
7/20 = 20r/20
r = 0.35 mph
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