Sides of a triangle are in the ratio of 12:17:25 and A perimeter of 540 cm. Find its area

Which ordered pair is a solution of the equation?<br> 3x - y = 13

Rashid [163]

Answer:
x = 6, y = 5
Step-by-step explanation:
When x = 6 and y = 5,
3(6) - 5 = 13
18 - 5 = 13
13 = 13
L.H.S = R.H.S

6 0

3 years ago

What is 7n-20=9(4n+1) ????

SIZIF [17.4K]

$7n-20=9(4n+1)\ \ \ \ | omit\ the\ bracket\\\\
7n-20=36n+9\ \ \ | add\ 20\\\\
7n=36n+29\ \ \ | subtract\ 36n\\\\
-29n=29\ \ \ | divide\ by\ -29\\\\
n=-1\\\\Solution\ is\ n=-1.$

4 0

3 years ago

Read 2 more answers

Find two consecutive integers such that three times the greater integer is 7 less than five times the lesser integer.

valkas [14]

Answer:

5 and 6

Step-by-step explanation:

let the 2 consecutive integers be n and n + 1 , then

3(n + 1) = 5n - 7

3n + 3 = 5n - 7 ( subtract 3n from both sides )

3 = 2n - 7 ( add 7 to both sides )

10 = 2n ( divide both sides by 2 )

5 = n and n + 1 = 5 + 1 = 6

the 2 consecutive integers are 5 and 6

4 0

2 years ago

What is the measure of m? 6 3 n 18 m = [?] Give your answer in simplest form. Enter

alina1380 [7]

By solving a system of equations, we will see that m measures 12 units.

<h3>How to get the measure of m?</h3>

Notice that we have 3 right triangles.

Then we can write the equations:

cos(a) = 6/m

For the small triangle on the left, where m is the hypotenuse.

cos(a) = m/(6 + 18)

For the larger triangle (the one composed of the two triangles).

Where in both equations, angle "a" is the one in the top left.

Then we have the system of equations:

cos(a) = 6/m

cos(a) = m/(6 + 18)

Then we can write:

6/m = m/(6 + 18)

If we simplify the expression, we get:

6*(6 + 18) = m^2

6*(24) = m^2

144 = m^2

√144 = m = 12

Then we conclude that m measures 12 units.

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

8 0

2 years ago

HELP ASAP!!!!! 50 points!!! Please teach me how to find the answer!!

nalin [4]

Case 11: Amount of monthly payment is $551.25

Case 12: Amount of monthly payment is $1361.77

Case 13: Amount of monthly payment is $814.03

Case 14: Amount of monthly payment is $656.25

Case 15: Amount of monthly payment is $897.6

Case 16: Amount of monthly payment is $2018.26

<u>Step-by-step explanation:</u>

Case 11:

Step 1: converting your annual interest rate to a monthly interest rate by dividing by 12

Monthly rate = $\frac{8 \%}{12}=\frac{0.08}{12}=0.00666$

Step 2: add 1 to the monthly rate

1+0.00666 = 1.00666

Step 3: multiply the number of years in the term of the mortgage by 12 to calculate the number of monthly payments you’ll make

The number of monthly payments = 30(12) = 360 months

Step 4: raise the result of 1 plus the monthly rate to the negative power of the number of monthly payments

$1.00666^{(-360)}$ = 0.0936

Step 5: subtract that result (obtained from step 4) from 1

1 – 0.0936 = 0.906

Step 6: divide the monthly rate by the result obtained from step 5

$\frac{0.0066}{0.906}=0.00735$

Step 7: multiple the result by the amount you borrowed ($75,000).

Amount of monthly payment= 0.00735(75000) = $551.25

Case 12:

Step 1: converting your annual interest rate to a monthly interest rate by dividing by 12

Monthly rate = $\frac{11 \%}{12}=\frac{0.11}{12}=0.00916$

Step 2: add 1 to the monthly rate

1+0.00916 = 1.00916

Step 3: multiply the number of years in the term of the mortgage by 12 to calculate the number of monthly payments you’ll make

The number of monthly payments = 20(12) = 240 months

Step 4: raise the result of 1 plus the monthly rate to the negative power of the number of monthly payments

$1.00916^{(-240)}=0.1121$

Step 5: subtract that result (obtained from step 4) from 1

1 – 0.1121 = 0.8879

Step 6: divide the monthly rate by the result obtained from step 5

$\frac{0.00916}{0.8879}=0.0103$

Step 7: multiple the result by the amount you borrowed ($132,000).

Amount of monthly payment= 0.0103(132000) = $1361.77

Similarly,

Case 13:

Monthly rate = $\frac{9 \%}{12}=\frac{0.09}{12}=0.0075$

1+0.0075 = 1.0075

The number of monthly payments = 25(12) = 300 months

$1.0075^{(-300)}=0.1063$

1 – 0.1063 = 0.8937

$\frac{0.0075}{0.8937}=0.0084$

Amount of monthly payment= 0.0084(97000) = $814.03

Case 14:

Monthly rate = $\frac{8 \%}{12}=\frac{0.08}{12}=0.00666$

1+0.00666 = 1.00666

The number of monthly payments = 30(12) = 360 months

$1.00666^{(-360)}=0.09166$

1 – 0.09166 = 0.9083

$\frac{0.00666}{0.9083}=0.0073$

Amount of monthly payment= 0.0073(89500) = $656.25

Case 15:

Monthly rate = $\frac{10 \%}{12}=\frac{0.10}{12}=0.00833$

1+0.00833 = 1.00833

The number of monthly payments = 10(12) = 120 months

$1.00833^{(-120)}=0.36955$

1 – 0.36955 = 0.6304

$\frac{0.00833}{0.6304}=0.0132$

Amount of monthly payment= 0.0132(68,000) = $897.6

Case 16:

Monthly rate = $\frac{9 \%}{12}=\frac{0.09}{12}=0.0075$

1+0.0075 = 1.0075

The number of monthly payments = 15(12) = 180 months

$1.0075^{(-180)}=0.2605$

1 – 0.2605 = 0.7395

$\frac{0.0075}{0.7395}=0.01014$

Amount of monthly payment= 0.01014(199,000) = $2018.26

6 0

3 years ago