All categories

3 years ago

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

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

You might be interested in

8. Mr. Azu invested an amount at rate of 12% per annum and invested another amount, GH¢

sashaice [31]

Answer:

GH¢. 18098.46

Step-by-step explanation:

Let the first investment giving 12% interest per annum be Bank A

Let the 2nd investment giving 10% per annum be bank B

Let the first amount invested be

GH¢. X and let the second amount invested be GH¢. X + 580

Thus; In bank A;

Principal amount in first = GH¢. x

rate = 12 %

time = 1 year

Formula for simple interest = PRT/100

Where P is principal, R is rate and T is time.

So, interest in his investment = 12X/100 = 0.12X

while in bank B;

principal amount = GH¢. X + 580

rate = 14%

time = 1 yr

So, interest in his investment = [(X + 580) × 14]/100

= 0.14(X + 580)

So, total accumulated interest is;

0.12X + 0.14(X + 580) = 0.12X + 0.14X + 81.2 = 0.26X + 81.2

Now, we are given accumulated interest = GH¢. 2,358.60

Thus;

2358.60 = (0.26X + 81.2)

2358.6 - 81.2 = 0.26X

X = 2277.4/0.26

X = 8759.23

So,

first amount invested = GH¢. 8759.23

Second amount invested = GH¢. 8759.23 + GH¢. 580 = GH¢. 9339.23

Total amount invested = GH¢. 8759.23 + GH¢. 9339.23 = GH¢. 18098.46

4 0

2 years ago

Need help quick!! Cant figure this out

sladkih [1.3K]

Answer:

The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.

Step-by-step explanation:

Physically speaking, average speed ( $\bar v$ ), measured in miles per hour, is the distance travelled ( $\Delta s$ ), measured in miles, divided by time ( $\Delta t$ ), measured in hours. That is:

$\bar v = \frac{\Delta s}{\Delta t}$ (1)

The time needed by the vehicle is:

$\Delta t = 72\,min\times \frac{1\,h}{60\,min}$

$\Delta t = 1.2\,h$

If we know that $\Delta s = 143\,mi$ and $\Delta t = 1.2\,h$ , then the average velocity of the car is:

$\bar v = \frac{143\,mi}{1.2\,h}$

$\bar v = 119.167\,\frac{m}{s}$

The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.

5 0

2 years ago

Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, co

ivolga24 [154]

Answer:

Quantitative

Discrete

Ratio

Step-by-step explanation:

The number of days traveled by randomly selected employees is a quantitative variable because it can be presented meaningful numerical form and further the number of days traveled by randomly selected employees are discrete because the number of days can be counted. Now, the level of measurement for the variable "number of days traveled by employees" is ratio scale because it has a meaningful zero. Meaningful zero in this case will means that none of the day is spent on travelling.

3 0

3 years ago

Can somebody please help...I don’t understand it would mean a lot ❤️

ohaa [14]

Answer:

y=0.5x+8

Step-by-step explanation:

Use the formula for the equation of a line y=mx+c where m is the slope and c is a number.

To find the slope, take two points (x₁,y₁) (x₂,y₂) and put them into the slope equation m=(y₂-y₁)/(x₂-x₁):

We can take two points from the graph: (2,9) (4,10)

m=(y₂-y₁)/(x₂-x₁)

m=(10-9)/(4-2)

m=1/2 or 0.5

Now sub this value in for m and our formula looks like this:

y=0.5x+c

To find the value of c, sub in one of the points, eg. (4,10)

y=0.5x+c

10=0.5(4)+c

10=2+c

c=8

So now that we now m and c, our equation is complete :D

y=0.5x+8

4 0

2 years ago

Read 2 more answers

Equilateral triangle X Y W has degree angles of 60 degrees. Point D extends from side X W. Angle D X Y is 120 degrees. Triangle

V125BC [204]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers