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Ratling [72]
3 years ago
10

The length of the sides of a triangle are in the ratio 3:5:7. The difference between the longest side and the shortest side is 2

4cm. What is the perimeter of the triangle?​
Mathematics
1 answer:
Olenka [21]3 years ago
4 0

Answer:

P = 90 cm

Step-by-step explanation:

Let the sides of a triangle are 3x,5x and 7x.

The difference between the longest side and the shortest side is 24cm i.e.

7x-3x = 24

4x = 24

x = 6

Sides are :

3x = 3(6) = 18 cm

5x = 5(6) = 30 cm

7x = 7(6) = 42 cm

Perimeter = sum of  all sides

P = 18+30+42

P= 90 cm

Hence, the perimeter of the triangle is equal to 90 cm.

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Answer:

An expression that represents repeated multiplication of the same factor is called a power. The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.

Step-by-step explanation:

6 0
3 years ago
How do you find the lowest common factor of 6 and 14
Gwar [14]
2 divides both numbers, so divide both numbers by 2 to get 3 and 7. These are relatively prime, so 2 is the gcd. The lcm is 6*14/2=42.
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3 years ago
If h(x)=(fog)(x) and h(x) = sqrt x+5, find g(x) if f(x) = sqrtx+2
Katen [24]

Answer: The value of g(x) is x+3.

Step-by-step explanation:

Since we have given that

h(x)=f\circ g(x)

Here,

h(x)=\sqrt{x+5}\\\\and\\\\f(x)=\sqrt{x+2}

We need to find the value of g(x):

f(x)=\sqrt{x+2}\\\\f(g(x))=\sqrt{g(x)+2}\\\\h(x)=\sqrt{g(x)+2}\\\\\sqrt{x+5}=\sqrt{g(x)+2}\\\\x+5=g(x)+2\\\\g(x)=x+5-2=x+3

Hence, the value of g(x) is x+3.

3 0
3 years ago
Pretest: Unit 5 Question 12 of 21 Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Gala2k [10]

Answer:

(10, - 9 )

Step-by-step explanation:

Given the 2 equations

y = - 2x + 11 → (1)

y = - 3x + 21 → (2)

Substitute y = - 2x + 11 into (2)

- 2x + 11 = - 3x + 21 ( add 3x to both sides )

x + 11 = 21 ( subtract 11 from both sides )

x = 10

Substitute x = 10 into either of the 2 equations and evaluate fir y

Substituting into (1)

y = - 2(10) + 11 = - 20 + 11 = - 9

solution is (10, - 9 )

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3 years ago
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nirvana33 [79]

Answer:

139

Step-by-step explanation:

Brainliest?

8 0
3 years ago
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