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Mandarinka [93]
2 years ago
14

A triangle has a perimeter of 31. The longest side is equal to 12. The difference of the other two is 3. What is length of the s

hortest side ?
Mathematics
1 answer:
xenn [34]2 years ago
3 0

Answer:

8

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle.

let the other 2 sides be x and x - 3 , then

12 + x + x - 3 = 31

2x + 9 = 31 ( subtract 9 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11 and x - 3 = 11 - 3 = 8

The 3 sides are 12, 11, 8

with shortest side 8

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Estimate the value of √15 to the nearest tenth.
Nadya [2.5K]

Answer:

3.9

Step-by-step explanation:

√15 = 3.9, rounded.

3 0
1 year ago
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A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is kno
Ket [755]

Answer:

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5 ml

Standard Deviation, σ = 0.4 ml

We are given that the distribution of amount of dye dispensed is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(paint cans contain less than 5.54 ml of the dye)

P( x < 5.54) = P( z < \displaystyle\frac{5.54 - 5}{0.4}) = P(z < 1.35)

Calculation the value from standard normal z table, we have,  

P(x < 5.54) =0.9115 = 91.15\%

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

5 0
2 years ago
Martha is training for a duathlon, which includes biking and running. She knows that yesterday she covered a total distance of o
umka21 [38]

<u>Answer:</u>

<u>Distance:</u> 6x + 15.5y > 55.5

<u>Time:</u> x + y > 4.5

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

We are given that Martha is training for a duathlon and she covered a total distance of over 55.5 miles in more than than 4.5 hours of training.

Also, she runs at a speed of 6 mph and bikes at a rate of 15.5 mph.

We are to write inequalities representing the distance she traveled and the total time she spent training.

<u>Distance:</u> 6x + 15.5y > 55.5

(formula for distance = speed x time so speeds for running and biking are multiplied by their number of hours)

<u>Time:</u> x + y > 4.5

(she trained for more than 4.5 hours, x hours for running and y hours for biking.

4 0
3 years ago
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evablogger [386]
-6.3 into a fraction is -6 and 3/10. its a mixed number!
7 0
3 years ago
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arlik [135]

Scientific notation is a way to write compactly numbers with lots of digits, either because they're very large (like 2393490000000000000000000), or very small (like 0.0000000000356).

We use powers of ten to describe all those leading/trailing zeros, so that we con concentrate on the significat digits alone.

In your case, the "important" part of the number is composed by the digits 6 and 1, all the other digits are zero. But how many zeroes? Well, let's do the computation.

Every power of 10, 10^n is written as one zero followed by n zeroes, so we have

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Multiplying a number by 10^n means to shift the decimal point to the right and/or add trailing zeroes n times. So, we have to repeat this process six times. We shift the decimal point to the right one position, and then add the five remaning zeroes. The result is thus

6.1 \times 1000000 = 6100000

4 0
3 years ago
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