Mathematics : asked on hellodarkness14

29.03.2023

Ratio of triangle is 2:6:7 if the perimeter of the triangle is 195 meters what is the length of the longest side?

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Mathematics

The ratio of the sides of a triangle is 2:6:7. If the perimeter of the triangle is 195 meters, what is the length of the shortest side?

Step-by-step answer

P Answered by PhD

1

The shortest side is 26 units.

Step-by-step explanation:

(2×13)+(6×13)+(7×13) = 195

2×13 = 26

Mathematics

The ratio of the sides of a triangle is 2: 6: 7 if the perimeter of tge triangle is 195 meters, what is the length of the longest side

Step-by-step answer

P Answered by Specialist

20

You can let x = the length of the short side. Then the length of next largest side would be x+2 and the length of the largest side would be x+4. These sides add up to 195 mm. You can set up the equation to find x, the length of the short side.
Simplify and solve for x.
Subtract 6 from both sides of the equation.
Divide both sides by 3.

The length of the short side is 63 mm
The length of the middle side is x+2 = 63+2 = 65 mm
The length of the long side is x+4 = 63 + 4 = 67 mm
Check: 63+65+67 = 195 mm

Mathematics

The ratio of the sides of a triangle is 2:6:7. If the perimeter of the triangle is 195 meters, what is the length of the shortest side?

Step-by-step answer

P Answered by PhD

1

The shortest side is 26 units.

Step-by-step explanation:

(2×13)+(6×13)+(7×13) = 195

2×13 = 26

Mathematics

The ratio of the sides of a triangle is 2: 6: 7. if the perimeter of the triangle is 195 meters, what is the length of the longest side?

Step-by-step answer

P Answered by Specialist

16

91 meters

Step-by-step explanation:

If the ratio of the sides of a triangle is 2:6:7 then the sides of the triangle are

2x, 6x and 7x for some number x

The perimeter of the triangle is 195 meters, so

2x+6x+7x = 195 ===> 15x = 195 ===> x = 195/15 ===> x = 13

The longest side is 7x, hence the longest side is

7*13 = 91 meters

Mathematics

The ratio of the sides of a triangle is 2: 6: 7 if the perimeter of tge triangle is 195 meters, what is the length of the longest side

Step-by-step answer

P Answered by Master

20

You can let x = the length of the short side. Then the length of next largest side would be x+2 and the length of the largest side would be x+4. These sides add up to 195 mm. You can set up the equation to find x, the length of the short side.
Simplify and solve for x.
Subtract 6 from both sides of the equation.
Divide both sides by 3.

The length of the short side is 63 mm
The length of the middle side is x+2 = 63+2 = 65 mm
The length of the long side is x+4 = 63 + 4 = 67 mm
Check: 63+65+67 = 195 mm

Mathematics

The ratio of the sides of a triangle is 2: 6: 7. if the perimeter is 195 meters, what is the length of the longest side

Step-by-step answer

P Answered by PhD

2

Suppose the three sides are 2x, 6x, and 7x in length.
2x+6x+7x+195
15x=195
x=195/15=13
the longest side is 7*13=91 meters

Mathematics

The ratio of the sides of a triangle is 2: 6: 7. if the perimeter is 195 meters, what is the length of the longest side

Step-by-step answer

P Answered by PhD

2

Suppose the three sides are 2x, 6x, and 7x in length.
2x+6x+7x+195
15x=195
x=195/15=13
the longest side is 7*13=91 meters

Mathematics

An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Approximately it is aqual to 1300kg

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