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3 years ago

11

Can a triangle be formed with the side lengths of 8 cm, 4 cm and 12 cm/

1 answer:

Anarel [89]3 years ago

3 0

The answer is no because it will become unequal

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The 2 above regular hexagons are similar. (see figures) The smaller hexagon was

gizmo_the_mogwai [7]

The smaller and the larger hexagons both have 6 sides

The length of each side of the larger hexagon

<h3>How to determine the length of each side of the larger hexagon</h3>

The given parameters are:

Smaller side, l = 10

Scale factor = 5 : 7

Represent the length of each side of the larger hexagon with L.

So, we have:

l : L = 5 : 7

Substitute 10 for l

10 : L = 5 : 7

Multiply the ratio by 2

10 : L = 5 *2 : 7 *2

Evaluate the product

10 : L = 10 : 14

By comparison, we have:

L = 14

Hence, the length of each side of the larger hexagon

Read more about scale factors at:

brainly.com/question/3457976

6 0

2 years ago

Find the 5th term of the sequence in which t1 = 8 and tn-1 = t= -3tn-1

il63 [147K]

I think you mean to say that the sequence is given recursively by

$\begin{cases}t_1=8\\t_n=-3t_{n-1}\end{cases}$

From this you can find a general pattern for the $n$ th term, but since we're only interested in determining $t_5$ , we can stop once we arrive at that. We have

$t_2=-3t_1$
$t_3=-3t_2=(-3)^2t_1$
$t_4=-3t_3=(-3)^3t_1$
$t_5=-3t_4=(-3)^4t_1$

$\implies t_5=8(-3)^4=8(81)=648$

7 0

3 years ago

Find the given higher-order derivative.<br><br> f''(x) = 9- 3/x<br><br> f'''(x)=

Genrish500 [490]

Answer:

$f'''(x)=\frac{3}{x^{2}}$

Step-by-step explanation:

We are given with Second-order derivative of function f(x).

$f''(x)=9-\frac{3}{x}$

We need to find Third-order derivative of the function f(x).

$f''(x)=9-\frac{3}{x}=9-3x^{-1}$

We know that,

f'''(x) = (f''(x))'

So,

$f'''(x)=\frac{\mathrm{d}\,f''(x)}{\mathrm{d} x}$

$f'''(x)=\frac{\mathrm{d}\,(9-3x^{-1})}{\mathrm{d} x}$

$f'''(x)=\frac{\mathrm{d}\,9}{\mathrm{d} x}-\frac{\mathrm{d}\,3x^{-1}}{\mathrm{d} x}$

$f'''(x)=0-3\frac{\mathrm{d}\,x^{-1}}{\mathrm{d} x}$

$f'''(x)=-3(-1)x^{-1-1}$

$f'''(x)=3x^{-2}$

$f'''(x)=\frac{3}{x^{2}}$

Therefore, $f'''(x)=\frac{3}{x^{2}}$

4 0

4 years ago

For a certain race, 3 teams were allowed to enter 3 members each. A team earned 6 – n points whenever one of its members finishe

ololo11 [35]

Answer:

The least possible score a team could have earned is 3.

Step-by-step explanation:

From the given information it is clear that the total number of teams is 3.

Total number of members in each team is 3.

A team earned 6 – n points whenever one of its members finished in nth place, where 1 ≤ n ≤ 5.

It means the points for 1st, 2nd, 3rd, 4th, and 5th place are 5, 4, 3, 2 and 1 respectively.

Total points that can be earned all teams together = 5+4+3+2+1=15

There were no ties, disqualifications, or withdrawals.

To minimize the score of a team, we have to maximize the score of the other two teams.

It is given that no team earned more than 6 points,

Let two teams earn there maximum score. i.e. 6. So the score of third team is

$15-6-6=3$

Therefore, the least possible score a team could have earned is 3.

8 0

3 years ago

If you travel 90 miles in 1 ½ hours, what distances would you travel if you drove 6 hours?

sattari [20]

Answer:

360 miles

Step-by-step explanation:

If you travel 90 miles in 1 ½ hours, it will take 360 miles if you drove 6 hours.

All you have to do is, multiply 1 ½ until you get to 6.

The easiest way is:

1 ½ = 90 miles

1 ½ (90 miles) x 2 = 3 or 180 miles

3 (180 miles) x 2 = 6 or 360

Therefore, 6 hours = 360 miles.

3 0

3 years ago