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olga2289 [7]
3 years ago
12

Please help!!! Use an algebraic equation to solve the problem. The sides of a triangle are in the ratio 3 : 4 : 5. What is the l

ength of each side if the perimeter of the triangle is 90 cm?
A. 22.5 cm, 30 cm, and 37.5 cm
B. 7.5 cm, 11.5 cm, and 32.1 cm
C. 10.5 cm, 11.5 cm, and 12.5 cm
D. 19.3 cm, 25.7 cm, and 32.1 cm
Mathematics
2 answers:
azamat3 years ago
4 0
3:4:5.....added = 12

3/12(90) = 270/12 = 22.5
4/12(90) = 360/12 = 30
5/12(90) = 450/12 = 37.5

looks like it is gonna be A
Effectus [21]3 years ago
3 0

Answer:

A. 22.5 cm, 30 cm and 37.5 cm

Step-by-step explanation:

To find the perimeter of a triangle, all the sides are added together:

A + B + C = Perimeter

Knowing the ratio of the sides, all the sides can be multiplied by a common factor, for the ratio to stay the same. Adding up these factors, setting it equal to a perimeter of 90, and solving:

3x + 4x +5x = 90

12x = 90

x = 7.5 cm

Side Lengths

  • 3 * 7.5 = 22.5 cm
  • 4 * 7.5 = 30 cm
  • 5 * 7.5 = 37.5 cm
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One leg of a right triangle is five and it's hypotenuse is 10. What is the size of its smallest angle?
galina1969 [7]
I hope this helps you



30 degree = k


60 degree = k square root of 3


90 degree = 2k


hypothenus =10 =>90 degree


one leg = 5 => 30 degree
4 0
3 years ago
Read 2 more answers
Find three consecutive odd numbers whose sum is 1875.
masya89 [10]

Answer:

smaller number = 623

middle number = 625

larger number = 627

Step-by-step explanation:

Variable: X = smallest number

If these numbers are consecutive and odd, then the numbers would be:

x, x+2, x+4

x + (x + 2) + (x + 4)= 1875

3x + 6 = 1875

3x = 1869

x = 623

x + 2 = 625

x + 4 = 627

Check:

623 + 625 + 627 = 1875

4 0
3 years ago
What is the slope of the line that passes through the points (10, 3) and (2, 3) ?
Margarita [4]
Slope: (y2-y1)/(x2-x1)
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3 0
3 years ago
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What is the solution to this system of equations? 4x + 5y = 7
Nutka1998 [239]

Answer:

(-2, 3)

Step-by-step explanation:

4x + 5y = 7

3x - 2y = -12

Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.

Let's work with y.

5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.

2(4x + 5y = 7)

5(3x - 2y = -12)

Multiply.

8x + 10y = 14

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Eliminate.

23x = -46

Divide both sides by 23.

x = -2

Now that we know x, let's plug it back into one of equations to find y.

4x + 5y = 7

4(-2) + 5y = 7

Multiply.

-8 + 5y = 7

Add.

5y = 15

Divide.

y = 3

Now we know x and y; let's plug both back into the equation we have not checked yet.

3x - 2y = -12

3(-2) - 2(3) = -12

Multiply.

-6 - 6 = -12

Subtract.

-12 = -12

Your solution is correct.

(-2, 3)

Hope this helps!

8 0
3 years ago
Increase 60 by 25% please
GuDViN [60]

Answer:

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Step-by-step explanation:

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