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3 years ago

Perimeter of hexagon with apothem of five

Mathematics

1 answer:

inn [45]3 years ago

5 0

Perimeter of hexagon with apothem of five

Step-by-step explanation:

1.A hexagons is a six-sided polygon. When a hexagon is regular it has six equal side lengths and an apothem. An apothem is a line segment from the center of a polygon to the middle point of any one side. You usually need to know the length of the apothem when calculating the area of a hexagon.

2.We can also use the area formula to find the apothem if we know both the area and perimeter of a polygon. This is because we can solve for a in the formula, A = (1/2)aP, by multiplying both sides by 2 and dividing by P to get 2A / P = a. Here, the apothem has a length of 4.817 units

3.The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides.

4.Multiply the side length by the number of sides to get the perimeter. The formula for finding the perimeter of a regular polygon is just the number of sides x the length of any side. Once you've multiplied those 2 numbers together, you've found the perimeter of the polygon

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3- A rectangle has an area of 30 square meters arm a perimeter of 34 meters the dimensions , of the rectangle I 9 , a J v ft HA

Leto [7]

If you are looking for the answer to the question above you have to ask yourself what two numbers multiply to 30 and equal 17 when added up. We halve the perimeter to make this easier. So your answer is 15 and 2 because 15 *2=30. If the sides are 15 and 2 then, 15(2) +2(2)=34. There is your answer.

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3 years ago

What are the discontinuities of the function y= 1500/x

Ratling [72]

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3 years ago

Solve: StartFraction 10 Over x EndFraction = 2 a. x = 5 c. x = 20 b. x = 10 d. x = 15 Please select the best answer from the cho

choli [55]

Answer:

a. x=5

Step-by-step explanation:

The Fraction is

10/x=2

The unknown from the fraction is x

We need to find the value of the unknown

10/x=2

Cross product

We have,

10=2x

Divide both sides by 2

10/2=2x/2

5=x

x=5

Answer is a. x=5

Check

10/5=2

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3 years ago

How do you find a percent of a number PLEASE HEP

liberstina [14]

How to calculate percentage of a number. Use the percentage formula: P% * X = Y
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

5 0

2 years ago

The general solution to the second-order differential equation y′′+10y=0 is in the form y(x)=c1cosβx+c2sinβx. Find the value of

allsm [11]

Answer:β=√10 or 3.16 (rounded to 2 decimal places)

Step-by-step explanation:

To find the value of β :

we will differentiate the y(x) equation twice to get a second order differential equation.
We compare our second order differential equation with the Second order differential equation specified in the problem to get the value of β

y(x)=c1cosβx+c2sinβx

we use the derivative of a sum rule to differentiate since we have an addition sign in our equation.

Also when differentiating Cosβx and Sinβx we should note that this involves function of a function. so we will differentiate βx in each case and multiply with the differential of c1cosx and c2sinx respectively.

lastly the differential of sinx= cosx and for cosx = -sinx.

Knowing all these we can proceed to solving the problem.

y=c1cosβx+c2sinβx

y'= β×c1×-sinβx+β×c2×cosβx

y'=-c1βsinβx+c2βcosβx

y''=β×-c1β×cosβx + (β×c2β×-sinβx)

y''= -c1β²cosβx -c2β²sinβx

factorize -β²

y''= -β²(c1cosβx +c2sinβx)

y(x)=c1cosβx+c2sinβx

therefore y'' = -β²y

y''+β²y=0

now we compare this with the second order D.E provided in the question

y''+10y=0

this means that β²y=10y

β²=10

B=√10 or 3.16(2 d.p)

5 0

3 years ago