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
In how many ways can the letters in the word balloon be arranged? 210 1,260 2,520 5,040
Olin [163]
1,260 possible arrangements of "balloon" using 7!/[2!*2}
3 0
3 years ago
Read 2 more answers
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
Bess [88]

Answer:

4c+6a\leq120\\\\4c+4a\leq100

Step-by-step explanation:

Let c represents child bikes and a represents adult bikes.

Given :  Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test.

With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week.

Then, the required system of inequality :-

4c+6a\leq120----(1)\\\\4c+4a\leq100-----(2)

If company make 10 child bikes and 12 adult bikes in the week.

Then Put c=10 and a=12 bikes in (1) and (2).

4(10)+6(12)=40+72=112\leq120⇒Bike order meets the restrictions

4(10)+4(12)=40+48=88\leq100⇒Bike order meets the restrictions

Hence, the system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week.

4c+6a\leq120\\\\4c+4a\leq100

3 0
3 years ago
What is the difference between 6 2/4 and 1/6????? PLEASE HELP ME
VashaNatasha [74]

Answer:

6 2/4 is a mixed fraction and 1/6 is not.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Find the composite area of the polygon below:
VashaNatasha [74]

Answer:

5 x 5 = 25

4 x 2 = 8

25 + 8 = 33 cm^2

7 0
2 years ago
Please help me Will name Brainliest
Anarel [89]

28÷1.5=18.67

meaning that more, than 17 discs can be placed in the box.

8 0
3 years ago
Read 2 more answers
Other questions:
  • 6(2x-1) over 5. I need help so help me pleeease
    9·1 answer
  • How many milliliters are equal to 1.5 gallons, if 1 liter = 1,000 milliliters and 1 gallon = 3.785 liters?
    8·1 answer
  • Solve mathematics problem in photo please! Second
    14·1 answer
  • Explain how you would graph 3x+9y= -18 without converting to slope-intercept form​
    9·1 answer
  • 5) Tess deposited $500 in an account that earns 6% annual simple interest. She leaves the money in the account for 4 years. What
    14·1 answer
  • X=7 -2x+10<br> What does this equal?
    11·2 answers
  • Which of the following angles is not coterminal with the other three?
    14·1 answer
  • How do I solve this inequality?
    15·1 answer
  • Please help I don’t know the answer<br> The last option is none of the above
    13·2 answers
  • Find the value of x.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!