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3 years ago

Can triangles be made with sides length of 15,10,4

1 answer:

7 0

Answer is No.

The reason why is that

One side of the triangle has to be less than the sum of the other two sides and greater than the magnitude of their difference.

Rule 1: (side1 + side2) > side3

Rule 2: Side3 < |side1 - side2|

Lets check the fact by adding / subtracting two sides and comparing with the third one..

Case1: 7+ 8 = 15 = length of third side. Rule1 fails

Case2:

8+15 > 7 Rule1 sucess

15–8 = 7 = length of third side. Rule 2 fails.

Case3:

7+15>8 Rule1 success

15–7=8 = length of third side. Rule 2 fails.

So, considering the rules and checking the facts..

it is impossible to create a triangle with above 3 sides.

You might be interested in

62,81,103,126,144,144 find the median

lyudmila [28]

Answer:

I think that median is given in the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

8 0

3 years ago

Read 2 more answers

How do I solve this problem?

lesya [120]

Answer:

4x⁻¹

Step-by-step explanation:

4x + 20 25 - x²

_______ ÷ _______ ↷

x² - 5x [x - 5]²

4[x + 5] [-5 + x][5 + x]

_______ ÷ _______

x[x - 5] [x - 5][x - 5]

So what we did here was factor out ALL the Greatest Common Factors [GCFs] in each denominator and numerator, and since we are dividing vertically AND horizontally, according to this, ALL [x - 5] and [x + 5] cancel each other out and all you are left with is this:

4x⁻¹

$\frac{4}{x}$

This, according to the Negative Exponential Rule [Reverse], is how you rewrite it as a fraction. You bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM POSITIVE TO NEGATIVE:

b⁻ⁿ = 1\bⁿ

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

4 0

3 years ago

Find the 10th term in the following arithmetic sequence if the constant being added is

Murljashka [212]

Find the 10th term in the following arithmetic sequence if the constant being added is -12

Step-by-step explanation:

20 - 12 = 8

8 - 12 = -4

-4 - 12 = -16

So the sequence will be

20; 8; -4; -16

an = 20 - 12(n - 1)

a10 = 20 - 12(10 - 1) = -88

3 0

4 years ago

Read 2 more answers

At a local sandwich shop the average customer spends $25 at dinner with a standard deviation of $2.30. In a simple random sample

oee [108]

Answer:

The probability that the mean receipt for dinner is between $24.50 and $25.50 is

P(24.50≤ x ≤ 25.50)= 0.8324

Step-by-step explanation:

Step(i):-

Given mean of Population(μ) = $25

Given standard deviation of the Population (σ) = 2.30

Sample size 'n' = 40

Let 'X' be the random variable in normal distribution

Given X₁ = 24.50

$Z_{1} =\frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{24.50-25}{\frac{2.30}{\sqrt{40} } } = -1.375$

Given X₂ = 25.50

$Z_{2} =\frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{25.50-25}{\frac{2.30}{\sqrt{40} } } = 1.3751$

Step(ii):-

The probability that the mean receipt for dinner is between $24.50 and $25.50

P(x₁≤ x ≤ x₂) = P(Z₁≤ z ≤ Z₂) = A(Z₂) + A(z₁)

P(24.50≤ x ≤ 25.50) = P(-1.375≤ z ≤ 1.375) = A(1.375) + A(1.375)

P(24.50≤ x ≤ 25.50)= 2 A( 1.375)

= 2 × 0.4162 ( from normal table)

= 0.8324

Final answer:-

The probability that the mean receipt for dinner is between $24.50 and $25.50 is 0.8324

4 0

4 years ago

You are interested in the psychological implications of high SES. You read a paper that claims that higher social class people b

dimaraw [331]

Answer:

Option C. The real effect is 0.1

Step-by-step explanation:

The complete question is

You are interested in the psychological implications of high SES. You read a paper that claims that higher social class people behave more unethically. The paper reports a significant difference in the propensity of high and low SES people behaving unethically. The significance level of this study was 0.05, the ratio of true to false effects in this field is 0.35, but the author was anxious to issue a press release and prepare his TED talk, so power is low, at 0.1. The probability that this study reports a real effect is

A. 0.58

B. 0.95

C. 0.1

D. 0.35

E. 0.41

Solution

Ratio of true to false effects i.e T/F = 0.35

The power of the study indicates the real effect of the study and hence despite the true/false ration being 0.35 and the significance level of study is 0.05, the real effect of the study would be 0.1

Hence option C is correct

8 0

3 years ago