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
Gala2k [10]
3 years ago
6

One triangle has side lenghts of 6,8,10. A similar triangle has a perimeter of 60. What are the lengths of the similar triangle?

Mathematics
1 answer:
mamaluj [8]3 years ago
5 0

Answer:

Lengths of second triangle are 15,20,25

Step-by-step explanation:

Given:

One triangle side lengths = 6 , 8 ,10

Similar triangle perimeter =60

To Find:

Lengths of similar triangle = ?

Solution:

A similar triangle is a one in which there is a particular increase in lengths of the sides by a common ratio. This ratio is same for all the sides and by these the similar triangle is formed.

As Lengths are increased by a common ratio so the perimeter of the triangles which are similar will also increase by that

So for this problem if we find out the perimeter increase then we can find out sides

Now For 1st triangle whose sides are given

Lets its perimeter is perimeter 1

Now

Perimeter 1 =sum of length of all sides

                    = 6 + 8 +10

                    = 24

Now

Ratio = Perimeter of second triangle / Perimeter 1

         = 60 / 24

         = 2.5

So perimeter is increased by a factor of 2.5

We can find the length by multiplying each length of triangle 1 with this 2.5

Now Length of first side =  6*2.5

                                         = 15

Length of second side = 8 * 2.5

                                       =20

Length of third side = 10 * 2.5

                                  = 25

Lengths of second triangle are 15,20,25

You might be interested in
Here are the last 3 can u help me
alexandr1967 [171]

Answer:

13. B

14. non-proportional

15. y = 4x+35

7 0
3 years ago
Neeedd helllp nowwwwwww!!!!! Please!!! Grad point <br> Find the measure of 1.
otez555 [7]

Maybe the answer is

<h3>60°</h3>

<h3>Explanation</h3>
  • The L between 2 and 3 shows that yeah... it has a neat degree (sorry dont know how to explain lol) and so the triangle which has 3 side and total 180° will be 180° : 3 = 60 because the degree is neat. :v

#sorry my english sucks lol

8 0
2 years ago
How Much Have I Saved? Portfolio
avanturin [10]

The time value of money calculation can be performed using formula equations or online calculators.

The correct responses are;

  • 1) Option 3
  • 2) Option 2
  • 3) The difference in principal is approximately $8,000
  • The difference in interest earned is approximately $2,977.87
  • 4) It is better to invest more money at the beginning of the 30 years

Reasons:

Option 1: Present value = 0

Amount invested per month, A = $25/month

The Annual Percentage Rate, APR, r = 3.25%

Number of years = 30

The future value of an annuity is given by the formula;

\displaystyle FV_{A} = \mathbf{A \cdot \left (\frac{ \left(1 + \frac{r}{m} \right)^{m\cdot t} - 1}{\frac{r}{m} } \right)}

In option 1, m = 12 periods per year

Therefore;

\displaystyle FV_{A} = 25 \times \left (\frac{ \left(1 + \frac{0.0325}{12} \right)^{12 \times 30} - 1}{\frac{0.0325}{12} } \right) \approx  \mathbf{15,209.3}

Contribution = $25 × 12 × 30 = $9,000

Total interest earned = $15,209.3 - $9,000 = $6,209.3

Final balance = $15,209.3

Option 2: Present value = 0

Amount, A = $75/quarter

m = 4 periods per year

The Annual Percentage Rate, APR = 4.00%

Therefore;

The effective interest rate is therefore;

\displaystyle r_{eff} = \left(1 + \frac{0.04}{4} \right)^4 - 1 \approx \mathbf{0.04060401}

\displaystyle FV_{A} = 75 \times \left (\frac{ \left(1 + \frac{0.04060401}{4} \right)^{4 \times 30} - 1}{\frac{0.04060401}{4} } \right) \approx  17,437.7

Using an online calculator, FV = $17,467.04

Contribution = $75 × 4 × 30 = $9,000

Total interest earned = $17,467.04 - $9,000 = $8,467.04

Final balance = $17,467.04

Option 3: Present value = $1,000

APR = 6.25%

m = 12 period per year

Number of years, t = 30 years

Therefore;

\displaystyle FV = \left (1 + \frac{0.0625}{12} \right)^{12 \times 30} \approx \mathbf{6,489.17}

Contribution = $1,000

Total interest earned = $6,489.17 - $1,000 = $5,489.17

Final balance = $6,489.17

The table of values is therefore;

  • \begin{tabular}{|c|c|c|c|}Option \# &Contribution &Total Interest Earned&Final Balance\\1&\$9,000&\$6,209.3 & \$15,209.3\\2&\$9,000&\$8,467.04 &\$17,467.04\\3&\$1,000&\$5,489.17&\$6,489.17\end{array}\right]

1) The option that has the least amount invested are <u>option 3</u>

Option 3 investment plan is a present value of $1,000, invested for 30 years at 6.25% APR compounded monthly.

2) <u>Option 2</u> yielded the highest amount at the end of 30 years, given that the APR is higher than the APR for option 1, although the amount invested over the period are the same.

The basis of option 2 investment plan is $75 invested quarterly at 4.00% APR compounded monthly for 30 years.

3) The difference in the principal invested for the highest and lowest final balance is $9,000 - $1,000 = <u>$8,000</u>

The difference in the interest earned is; $8,467.04 - $5,489.17 = <u>$2,977.87</u>

4) In option 1 the present value is zero, therefore zero amount was invested at the beginning.

The interest to investment ration is 6,209.3:9,000 ≈ 0.7:1

In option 3, all the money was invested at the beginning.

The interest to investment ratio of option 3 is; 5,489.17:1,000 ≈ 5.5:1

Given that the interest to investment ratio, which is the return on investment is larger when more money is saved at the beginning as in option 3, <u>it is better to invest more money at the beginning</u>.

Learn more about future value of an annuity here:

brainly.com/question/8243704

3 0
3 years ago
By selling a stool for rupees 67.50,a carpenter loses 10%.how much percent would he gain or lose by selling it for rupees 82.50.
valentina_108 [34]
Let the actual value of the stool be x.

So if the carpenter sells the stool x rupees he neither loses, now wins anything.

67.50 is the value x - 10% of x, that is:

67.50=x-0.1x
67.50=0.9x

x=67.50/0.9=75      (rupees) is the actual value of the stool.


Selling the stool for 82.50 rupees, the carpenter clearly would make a profit, say of y% of that actual value, that is y%*75.

So using the same method:

82.50=75+y%*75

y%*75=82.50-75=7.5

we can make the calculations, but clearly 7.5 is 10% of 75


Answer: 10% gain.


8 0
3 years ago
Angle between two lines What is the size of the angle between the two lines 3x-2y+1=0 and x-3y=0 (answer in degrees and minutes)
adell [148]

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiii

6 0
3 years ago
Other questions:
  • the ratio of number of miles walked by fernando in a week to the number walked by julia in a week is 4 to 3. julia waled 15 mile
    13·1 answer
  • What is the slope of the function
    12·2 answers
  • Helpppppppppppppppppppppppppppppppppp
    10·1 answer
  • Math help me please
    5·1 answer
  • Find the area.<br> 7.2 km<br> 4.4 km<br> 5.3 km<br> 2 km
    7·1 answer
  • Write out the equation (1,-19),(-2,-7)
    5·1 answer
  • What is the slope of the between (-4,3) and (2,-1)?
    15·1 answer
  • 100 points &amp; brainliest if you get it correct!
    6·1 answer
  • Miguel invested $400 in a bank account that pays interest. the account’s value over time, in x years, is given in the table. a 2
    7·1 answer
  • The size of an exterior angle of a triangle is the supplement of smaller of two opposite interior angles If the greater of the o
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!