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
The breakdown of a sample of a chemical compound is represented by the function p(t) = 500 (0.25)^t, where p(t) represents the n
ludmilkaskok [199]

Given:

The function is:

p(t)=500(0.25)^t

Where p(t) represents the number of milligrams of the substance and t represents the time.

To find:

The correct explanation for the number 0.25 and 500 in the given function.

Solution:

The general exponential function is:

y=ab^x           ...(i)

Where, a is the initial value and b is the growth/decay factor. If 0, then decay factor and if b>1, then growth factor.

We have,

p(t)=500(0.25)^t           ...(ii)

On comparing (i) and (ii), we get

a=500, it means initial there are 500 milligrams of the substance.

b=0.25, this value is less than 1, it means the substance is decreasing by a factor of 0.25.

Therefore, 0.25 means the substance is decreasing by a factor of 0.25 and 500 means the initial value of substance is 500 milligram.

3 0
3 years ago
What is the ratio of the number of cups of orange juice to the number of cups of lemon-lime soda?
Mariana [72]
3:1                     ......................................................
4 0
3 years ago
A fruitshake costs R2,00 more than a chocolate milkshake. If 3 fruitshakes and 5 chocolate milkshakes cost R78,00, determine the
kvv77 [185]

Step-by-step explanation:

Let F represent fruitshake and C chocolate milkshake

one fruitshake cost more 2R more than chocolate shake and

3F + 5C = R78,00

Then (78 - 6) ÷ 8 = 9

a fruitshake costs R11,00 and chocolate milkshake costs 9R,00

3 0
3 years ago
Read 2 more answers
a car purchased in 2014 was worth $21,000. It has depreciated at an annual rate of 8.5%. What will its value be in 2021? round a
mafiozo [28]
First, subtract 2021-2014=7.
Multiply 8.5 x 7= 0.595.
Then, multiply 21,000 x 0.595= 12,495
3 0
3 years ago
Read 2 more answers
Tim made 80% of his free throws during the basketball tournament. He was at the free throw line ten times taking 20 shots at thi
LUCKY_DIMON [66]
He made 16 free throws
0.08 * 20 = 16
7 0
3 years ago
Other questions:
  • Write the equation of a line that goes through the points (-2, -5) and (3, -10)
    10·1 answer
  • For what value of x is line a parallel to line b?<br><br> (Yo, please help me so I can go to sleep.)
    9·1 answer
  • I just need a step by step expiation please!
    5·1 answer
  • There are 57 m&amp;ms in a bag. at 240 calories per bag how many calories is it per m&amp;m
    7·1 answer
  • Josh bought 24 pounds of rice for $10. How many dollars did he pay per pound of rice?
    7·2 answers
  • A set of four numbers that begins with the number 32 is arranged from smallest to
    14·1 answer
  • A patient with diabetes self-injected 5 units of regular insulin and 15 units of NPH insulin at 0800. When should the nurse asse
    14·1 answer
  • Marcus traveled 45.5 miles in 3.25 hours. Part A How many feet did Marcus travel? (1 mile=5,280 feet)​
    14·1 answer
  • √x-3+5=x solve for x
    9·1 answer
  • What's the value of x when f(x)=58
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!