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2 years ago

Two side lengths of a triangle measure 8

Mathematics

1 answer:

olasank [31]2 years ago

5 0

Answer:

Correct option is C)

⇒ The sum of the lengths of any two sides in a triangle is always greater than the length of the third side in the triangle.

⇒ The differnce of the lengths of any two sides in a triangle is always lesser than the length of the third side in the triangle.

⇒ The difference between 4cm and 7cm is

3cm and their sum is 11cm.

⇒ To ensure that the above mentioned rule is not violated, the possible length of the third side has got to be greater than 3cm and lesser than 11cm.

⇒ So from the given options 6cm is less than

11cm and greater than 3cm

∴ The length of the third side of triangle is 6cm

Step-by-step explanation:

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The probability that it will snow on the last day of January is 85%. If the probability remains the same of the first eight day

MrRa [10]

Answer:

Here, we have:

P(5 days snow in this 8 days) = 8C5 x (0.85)^5 x (1 - 0.85)^3 = 0.084

P(6 days snow in this 8 days) = 8C6 x (0.85)^6 x (1 - 0.85)^2 = 0.238

P(7 days snow in this 8 days) = 8C7 x (0.85)^7 x (1 - 0.85)^1 = 0.385

P(8 days snow in this 8 days) = 8C8 x (0.85)^8 x (1 - 0.85)^0 = 0.272

Add up those above, then the probability that it will snow AT LEAST five of those days in February:

P = 0.084+ 0.238 + 0. 385 + 0.272 = 0.979

Hope this helps!

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4 years ago

In university A, the number of graduate students was approximately 25 comma 000 fewer than the number of undergraduate students

alekssr [168]

Answer:

The number of graduate students attend university A is $G=n-25,000$

Step-by-step explanation:

Consider the provided information.

We need to determine how many graduate students attend university A?

The number of undergraduate students was n.

The number of graduate students was approximately 25,000 fewer than the number of undergraduate students.

Let G represents the number of graduate student.

$G=n-25,000$

Hence, the number of graduate students attend university A is $G=n-25,000$

4 0

3 years ago

Tiana can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. If they decide to clear the fi

algol13

The answer is D. 5 hours, due to the fact that there football field together, so adding there times they had done the football field individually, Tiana,3 hours, and Jacob 2 hours 2h+3h=5hours. hope i helped.

8 0

4 years ago

Which graph is the graph of this fucntion

OverLord2011 [107]

<h2>Answer:</h2>

Graph C

<h2>Step-by-step explanation:</h2>

This is a piecewise-defined function because it is defined by two equations over a specified domain and this domain is $[0,5]$ . The first function comes from the pattern of the square root function $f(x)=\sqrt{x}$ and the second one is a linear function.

The graph of $3\sqrt{x+1}$ has been shifted one unit to the left of $f(x)=\sqrt{x}$ and stretched vertically where each y-value is multiplied by 3.

Moreover, we can prove that:

The graph of $3\sqrt{x+1}$ passes through points (0,3) and (3,6):

$y= 3\sqrt{x+1} \\ \\ \\ \bullet \ (0,3): \\ \\ let \ x=0: \\ \\ y= 3\sqrt{0+1} \therefore y=3\sqrt{1} \therefore y=3(1) \therefore y=3 \\ \\ \\ \bullet \ (3,6): \\ \\ let \ x=3: \\ \\ y= 3\sqrt{3+1} \therefore y=3\sqrt{4} \therefore y=3(2) \therefore y=6$