All categories

3 years ago

How I divided a hexagon into 3 equal parts?

Mathematics

2 answers:

vova2212 [387]3 years ago

7 0

Put a dot in the middle and put a line up on one side and across the sides

forsale [732]3 years ago

7 0

Length times width divided by three

You might be interested in

The first term of a geometric sequence is 15, and the 5th term of the sequence is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B24

sladkih [1.3K]

The geometric sequence is $15,9,\frac{27}{5},\frac{81}{25}, \frac{243}{125}$

Explanation:

Given that the first term of the geometric sequence is 15

The fifth term of the sequence is $\frac{243}{125}$

We need to find the 2nd, 3rd and 4th term of the geometric sequence.

To find these terms, we need to know the common difference.

The common difference can be determined using the formula,

$a_n=a_1(r)^{n-1}$

where $a_1=15$ and $a_5=\frac{243}{125}$

For $n=5$ , we have,

$\frac{243}{125}=15(r)^4$

Simplifying, we have,

$r=\frac{3}{5}$

Thus, the common difference is $r=\frac{3}{5}$

Now, we shall find the 2nd, 3rd and 4th terms by substituting $n=2,3,4$ in the formula $a_n=a_1(r)^{n-1}$

For $n=2$

$a_2=15(\frac{3}{5} )^{1}$

$=9$

Thus, the 2nd term of the sequence is 9

For $n=3$ , we have,

$a_3=15(\frac{3}{5} )^{2}$

$=15(\frac{9}{25} )$

$=\frac{27}{5}$

Thus, the 3rd term of the sequence is $\frac{27}{5}$

For $n=4$ , we have,

$a_4=15(\frac{3}{5} )^{3}$

$=15(\frac{27}{25} )$

$=\frac{81}{25}$

Thus, the 4th term of the sequence is $\frac{81}{25}$

Therefore, the geometric sequence is $15,9,\frac{27}{5},\frac{81}{25}, \frac{243}{125}$

5 0

3 years ago

The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to

spin [16.1K]

Answer:

B : 68.5°F and 76.5°F

I think sorry if i am wrong.

Step-by-step explanation:

3 0

2 years ago

What is the length of the unknown side? Hint: Pythagorean<br> Theorem.

jonny [76]

Answer:

Step-by-step explanation:

The Pythagorean theorem is: a^2 + b^2 = c^2

The hypotenuse (the diagonal line) is c, while the base and side are a and b.

4^2 + 3^2 = c^2

16 + 9 = c^2

25 = c^2

the square root of 25 is 5, so c would be 5

7 0

3 years ago

Read 2 more answers

Why is the first step in solving the inequality to use the Distributive Property instead of working inside the parentheses?

S_A_V [24]

Because it makes sure that you do it on both sides.

5 0

3 years ago

The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that

Molodets [167]

Answer:

Assumption

Let A be the event that the person stops at first signal.

Let B be the event that the person stops at second signal.

Given

Probabilities:

P(A)=0.40

P(B)=0.50

P(A∪B)=0.50

(a) Stops at both signals

The probability that person stops at both signals is intersection of events A and B

P(A∩B) = P(A)+P(B)−P(A∪B)

= 0.4+0.5−0.6=0.9−0.6

=0.3

(b) Stops at first but not at second

The given case is intersection of event A wth compliment of B

P(A∩¯B) = P(A)−P(A∩B)

=0.40−0.30

=0.10

(c) Stops at exactly one signal

The given case is sum of events that when a person stops either only first signal or at only second signal.

P = [P(A)−P(A∩B)]+[P(B)−P(A∩B)]

= [0.4−0.3]+[0.5−0.3]

= [0.1]+[0.2]

= 0.10+0.20

=0.30

6 0

3 years ago