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Andreyy89
3 years ago
10

Find the area of a regular hexagon with a base of 10 and an apothem of 20.

Mathematics
2 answers:
GarryVolchara [31]3 years ago
8 0
I hope this helps you



regular hexagon =6 equilateral triangle



Area=6.(10.20/2)



Area=600
Nadusha1986 [10]3 years ago
5 0

Answer:

600 unit squares

Step-by-step explanation:

Here we are given a Hexagonal whose Apothem is 20 and Base is 10 units.

We are required to find the Area of the hexagonal.

The Formula for Area of and Regular Polygon is given as

A = \frac{1}{2}\times p\times a

Where

p is perimeter

a is Apothem

Perimeter of hexagonal = 6*Side

Perimeter of hexagonal = 6*10=60

a=20

Substituting the values in the formula

A = \frac{1}{2}\times60\times20\\A = 30\times20\\A = 600

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Hezekiel runs 1000 m at a rateof 3 minutes per km. how long does he take to run 500 m​
lana66690 [7]

Step-by-step explanation:

1 km = 1000 m

(hence the term "kilo" which means 1000).

so. he runs 1000 m at the rate of 3 minutes per km, that means 3 minutes per 1000 m.

now, we can see the solution already with our eyes.

but let's do it formally :

the rate or ratio between time and distance must be the same for the same speed.

so,

3 min / 1000 m = x min / 500 m

500 m × 3 min / 1000 m = x min

1/2 × 3 min = x min

3/2 = 1.5 min = x min

so, it takes him 1.5 minutes (90 seconds) to run 500 m.

3 0
2 years ago
The Kansas predicted that in 2018 the population in Centerville would be 17,466 and actuality it was 16,400 what is the percent
sammy [17]

Answer:

6.5%

Step-by-step explanation:

Percentage error formula =

|Estimated value - Real value|/Real value × 100

From the above question,

Estimated value = 17,466

Real value = 16,400

Percentage error = |17,466 - 16,400|/16,400 × 100

= 1066/16,400 × 100

= 0.065 × 100

= 6.5%

Therefore, the percent error = 6.5%

5 0
3 years ago
Read 2 more answers
Consider the line y=4x-4.
erica [24]

9514 1404 393

Answer:

  • parallel: y = 4x -6
  • perpendicular: y = -1/4x +27/4

Step-by-step explanation:

If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...

  y = mx +b . . . . . . . for slope m and y-intercept b

Solving for b gives ...

  b = y -mx . . . . . . . subtract mx from both sides.

The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.

<u>Parallel line</u>

  b = 6 -4(3) = 6 -12 = -6

  y = 4x -6

Perpendicular line

  b = 6 -(-1/4)(3) = 6 +3/4 = 27/4

  y = -1/4x +27/4

4 0
2 years ago
Joe owns a stock which has probability .5 of going up. This morning, he bought a ticket in a lottery game which gives him a prob
Anit [1.1K]

Answer:

The probability that Joe's stock will go up and he will win in the lottery  is 0.00005.

Step-by-step explanation:

Let the events be denoted as:

<em>X</em> = the stock goes up

<em>Y</em> = Joe wins the lottery

Given:

P (X) = 0.50

P (Y) = 0.0001

The events of the stock going up is not dependent on the the event of Joe winning the lottery.

So the events <em>X</em> and <em>Y</em> are independent of each other.

Independent events are those events that can occur together at the same time.

The joint probability of two independent events <em>A</em> and <em>B </em>is,

P(A\cap B)=P(A)\times P(B)

Compute the value of P (<em>X ∩ Y</em>) as follows:

P(X\cap Y)=P(X)\times P(Y)=0.50\times 0.0001=0.00005

Thus, the probability that Joe's stock will go up and he will win in the lottery  is 0.00005.

3 0
3 years ago
Read 2 more answers
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