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2 years ago

The sides of a triangle are in the ratio 3:4:5 what is the length of each side if the perimeter of the triangle is 90 cm?

Mathematics

1 answer:

polet [3.4K]2 years ago

7 0

Answer:

The answer to your question is:

side 1 = 22.5 cm

side 2 = 30 cm

side 3 = 37.5 cm

Step-by-step explanation:

ratio = 3:4:5

Perimeter = 90 cm

First we get the sum of the numbers of the proportions

3 + 4 + 5 = 12

now divide the perimeter by the number of parts (12)

90 / 12 = 7.5

Side 1 = 3(7.5) = 22.5 cm

Side 2 = 4(7.5) = 30 cm

Side 3 = 5(7.5) = 37.5 cm

Perimeter = 22.5 + 30 + 37.5 = 90 cm

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Justin's car used 12 gallons to travel 252 miles. At what rate does the car use gas, in

s2008m [1.1K]

Answer:

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Your final answer is 21 miles/gallon!!

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3 years ago

Enter an inequality that represents the phrase the sum of 1 and y is greater than or equal to 5.

Delicious77 [7]

Sum means we are adding. 1 + y has to be greater than or equal to 5, therefore, $1+y \geq 5$

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3 years ago

WhWhich of these four sets of side lengths will form a right triangle? Set 1 10 cm, 26 cm, 24 cm Set 2 4 in., 2 in., 6 in. Set 3

Aloiza [94]

Answer:

All four Sets didn't work

Step-by-step explanation:

You should be doing hypothnose aka: a² + b² = c²

If they both equal that means they are a right triangle.

Set 1:

24² + 26² = 110²

576 + 676 = 10²

1252 = 12100

Set 2:

2² + 4² = 6²

4 + 16 = 6²

20 = 36

Set 3:

13² + 14² = 15²

169 + 196 = 15²

365 = 225

Set 4:

10² + 20² = 30²

100 + 400 = 30²

500 = 900

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3 years ago

The sum of the reciprocals of two consecutive even integers is 7/24. Write an equation that can be used to find the two integers

sergejj [24]

Assume the first even integer is x.
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.

The reciprocals of these two even integers can be written as $\frac{1}{x}$ and $\frac{1}{x+2}$ respectively.

The sum of their reciprocals is 7/24. So we can set up the equation as:

$\frac{1}{x}+ \frac{1}{x+2}= \frac{7}{24}$

Taking LCM on left hand side:

$\frac{x+2+x}{x(x+2)}= \frac{7}{24} \\ \\ 
 \frac{2x+2}{ x^{2} +2x}= \frac{7}{24}$

Cross Multiplying the denominators:

$24(2x+2)=7({ x^{2} +2x}) \\ \\ 
48x+48=7 x^{2} +14x \\ \\ 
7 x^{2} +14x-48x-48=0 \\ \\ 
7 x^{2} -34x-48=0 \\ \\ 

$

Using the quadratic formula to solve the above equation:
$7 x^{2} -34x-48=0 \\ \\ 
x= \frac{34+- \sqrt{1156+1344} }{14} \\ \\ 
x= \frac{34+- \sqrt{2500} }{14} \\ \\ 
x=\frac{34+-50 }{14} \\ \\ 
x=6 \\ x=- \frac{8}{7} 
$

Since, the value of x can only be an integer, we discard the fractional value and keep x=6

So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24

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3 years ago

Which of the following numbers can be expressed as repeating decimals?

docker41 [41]

Answer:

2 over 9 can be expressed as a repeating decimal.

Step-by-step explanation:

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2 years ago