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3 years ago

List two sets of possible side lengths for two triangles, one set that forms a triangle and one set that does not.

1 answer:

6 0

In any triangle, the sum of lengths of any two sides must be greater than the third side.

(1) If we chose three side lengths to be 5 cm, 7 cm and 10 cm. Let's do the check:
5+ 7 = 12 > 10
5+10 = 15 > 7
7 + 10 = 17 > 5
The sum of any two sides is greater than the third, therefore, these three side lengths can form a triangle.

(2) If we chose three side lengths to be 3 cm, 4 cm and 8 cm.Let's do the check:
3 + 4 = 7 which is not greater than 8
The condition is not fulfilled, therefore, these three side lengths cannot form a triangle.

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since there are 6 faces on a die there is a 3/6 or 1/2 chance of rolling a die and getting a prime number.

Troyanec [42]

I would say 2/5 chance since 1 is neither prime or composite

8 0

3 years ago

Find the eighth term of the

Pie

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio, hence

$a_{8}$ = 6 × $(-1/3)^{7}$ = 6 × - $\frac{1}{3^{7} }$ = 6 × - $\frac{1}{2187}$ = - $\frac{2}{729}$

7 0

3 years ago

This is my question!

tatuchka [14]

Answer:

Step-by-step explanation:

mode = 56

mean = 37.4

median = 35

6 0

3 years ago

Partition a number line from 0 to 1 into sixth decompose 2/6 into 4 equal lengths.

Anon25 [30]

When we partition a number line from 0 to 1 into six, each segment has a length of 1/6 and the segments are:
1/6. 2/6. 3/6, 4/6, 5/6 , 6/6

Breaking 2/6 into 4 equal parts, we get each part equal to 1/12

7 0

3 years ago

The position function for the movement of a particle is given by s=(t^3+1)^2 where s is measure in feet and t is measured in sec

Ray Of Light [21]

Answer:

The position of particle at 1 second is 4 feet.

Step-by-step explanation:

We are given the following in the question:

$s(t)=(t^3+1)^2$

where s is a position function and measure in feet and t is measured in seconds.

We have to evaluate the position at 1 second.

Putting t = 1 in the position function, we get.

$s(1)=((1)^3+1)^2\\s(1) = 4$

Thus, the position of particle at 1 second is 4 feet.

3 0

3 years ago