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diamong [38]
2 years ago
15

Two sides of a triangle are 4 meters and 12 meters long . Which of the following is not a possible length of the third side?

Mathematics
2 answers:
natulia [17]2 years ago
7 0

Answer:

it is D

Step-by-step explanation:

:)

antiseptic1488 [7]2 years ago
5 0

Answer:

A: 8 meters

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Since if we add the side of 4 and 8 it equals to 12, which is not greater than 12, meaning this would be a line if you tried to draw it, leading to the conclusion that A is not possible

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Natasha2012 [34]

Answer: 18 gallons.

Step-by-step explanation:

Let's call the total gallons that the container can hold <em>x.</em>

<em> </em>Then, based on the information given in the problem, you can write the following expression:

\frac{4}{9}x+4=\frac{2}{3}x

Now, you must solve for x, as you can see below. Therefore, you obtain the following result:

\frac{4}{9}x+4=\frac{2}{3}x\\\\4=\frac{2}{3}x-\frac{4}{9}x\\\\4=\frac{2}{9}x\\\\4*9=2x\\\\36=2x\\\\x=18\ gallons

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3 years ago
Can measurment be used with gcf
Tcecarenko [31]
What does "gcf" stand for?
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Ray EF is the bisector of angle AET. Find the measure of angle FEA.* 70° E A Your answer​
Sauron [17]

Answer:

<FEA is 70 degrees. It is already given.

3 0
2 years ago
Q. The probability that a student passes a statistics test is 2/3 and the
kenny6666 [7]

Answer:

4/9 or 44.44%

Step-by-step explanation:

We have the following probabilities:

Probability of winning the statistical test = P (s) = 2/3

Probability of winning the mathematics and statistics test = P (s n m) = 14/45

Probability of winning at least one test = P (s u m) = 4/5

We have that, the probability of winning the mathematics test P (m) can be found in the following way:

P (s n m) = P (s) + P (m) - P (s u m)

replacing we have:

14/45 = 2/3 + P (m) - 4/5

P (m) = 14/45 - 2/3 + 4/5

p (m) = 4/9 = 0.444

Which is the same as there is a 44.44% probability that I will win the math test

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3 years ago
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Grace [21]

Given that x+y=1, we have y=1-x, so that

f(x,y)=x^2+y^2\iff g(x)=x^2+(1-x)^2

Take the derivative and find the critical points of g:

g'(x)=2x-2(1-x)=4x-2=0\implies x=\dfrac12

Take the second derivative and evaluate it at the critical point:

g''(x)=4>0

Since g'' is positive for all x, the critical point is a minimum.

At the critical point, we get the minimum value g\left(\frac12\right)=f\left(\frac12,\frac12\right)=\frac12.

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3 years ago
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