The length of one of the sides of a regular hexagon is 7.8cm, find the perimeter of this polygon​

Answer:

Check the image of solution

Answer:

Radius: 8

Center: (5,-7)

Step-by-step explanation:

(x−a)2 + (y−b)2 = r2

To find the radius: find the square root of 64

To find the center, get the opposite of -5 and 7

opposites are: 5, -7

center is (5,-7)

Answer:

208

Step-by-step explanation:

A coin can have 2 total outcomes

A card deck can have 52 total outcomes

Im flipping 2 coins and then drawing a card

2 x 2 x 52 = 208

Answer:

11/15

Step-by-step explanation:

sum the two 1/3+2/5=11/15

Answer:

$103.14

Step-by-step explanation:

The calculation of slips are amounted to a total of $103.14

Step-by-step explanation:

the average is the sum of all data points divided by the number of data points (5).

2 hours 17 minutes

2 hours 48 minutes

1 hour 53 minutes

2 hours 19 minutes

1 hour 38 minutes

------------------------------

8 hours 175 minutes

175 minutes = 2 hours 55 minutes

so, we need to add this to the 8 hours and get

10 hours 55 minutes

this we need to divide by 5 for the average time

(10 hours 55 minutes) / 5 = 2 hours 11 minutes =

= 2×60 + 11 = 120 + 11 = 131 minutes.

so, their score is 131.

Answer:

(34×(50^2))+89-(89÷89)=8,5088

Step-by-step explanation:

hope this helps if not let me know have a great day

Answer:

12/20=3/5   5/20=1/4 so the answer would be 12/20 + 5/20

Answer:

The boat is 2000 and the bird is 750.

Step-by-step explanation:

1. 750+750=1500

1500+2000=3500

2. 2000+2000=4000

4000+750=4750

Answer:

Answer:

16 inches

Step-by-step explanation:

2 1/4 = 9/4 inches

Number of pieces = 36 / 9/4

= 36 + 4/9

= 16 inches

Answer:

ben told it was 78

Step-by-step explanation:

ben said that

Answer:

[tex]\sf \left(-\dfrac{1}{2},-\dfrac{1}{8}\right)[/tex]

Equation: y = x³

Only (-0.5, -0.125) lies on the graph of the equation y = x³

=====================================================

Work Shown:

[tex]2\sqrt{b} + 5 = 11 - \sqrt{b}\\\\2x + 5 = 11 - x\\\\2x+x = 11 - 5\\\\3x = 6\\\\x = 6/3\\\\x = 2\\\\\sqrt{b} = 2\\\\b = 2^2\\\\b = 4\\\\[/tex]

What I did for a good portion of the early steps is replace [tex]\sqrt{b}[/tex] with x. Then I solved for x like with any normal equation. Once x is isolated, plug in [tex]x = \sqrt{b}[/tex] and isolate b itself.

------------

Let's check the answer:

[tex]2\sqrt{b} + 5 = 11 - \sqrt{b}\\\\2\sqrt{4} + 5 = 11 - \sqrt{4}\\\\2*2 + 5 = 11 - 2\\\\4 + 5 = 11 - 2\\\\9 = 9 \ \ \ \ \checkmark\\\\[/tex]

The answer of b = 4 is confirmed.

It's always a good idea to check the answer with any equation. This is especially true with square root equations because the solution might be extraneous (meaning that it works in some equations but not in the original starting equation).

Answer:

984

Step-by-step explanation:

Solve for the base: 14 x 10

Solve for the sides: 2(1/2(10 x 24))

Solve for the backside: 10 x 24

Solve for the slanted plane or front: 14 x 26

Answer:

the answer is in the picture

Expanding the cube, we have

[tex]\dfrac1{(a+b+c)^3} = \left(\dfrac1{a+b+c}\right)^3 \\\\ = \dfrac1{a^3} + \dfrac1{b^3} + \dfrac1{c^3} + 3 \left(\dfrac1{a^2b} + \dfrac1{a^2c} + \dfrac1{ab^2} + \dfrac1{b^2c} + \dfrac1{ac^2} + \dfrac1{bc^2}\right) + \dfrac6{abc}[/tex]

so it remains to be shown that

[tex]3 \left(\dfrac1{a^2b} + \dfrac1{a^2c} + \dfrac1{ab^2} + \dfrac1{b^2c} + \dfrac1{ac^2} + \dfrac1{bc^2}\right) + \dfrac6{abc} = 0[/tex]

Factorize the grouped sum on the left as

[tex]\dfrac1{a^2b} + \dfrac1{a^2c} + \dfrac1{ab^2} + \dfrac1{b^2c} + \dfrac1{ac^2} + \dfrac1{bc^2} = \dfrac1{abc} \left(\dfrac ca + \dfrac ba + \dfrac cb + \dfrac ab + \dfrac bc + \dfrac ac\right)[/tex]

so that with simplification, it remains to be shown that

[tex]\dfrac ca + \dfrac ba + \dfrac cb + \dfrac ab + \dfrac bc + \dfrac ac + 2 = 0[/tex]

With a little more manipulation, we have

[tex]\dfrac ba + \dfrac ca = \dfrac{a+b+c}a - 1[/tex]

[tex]\dfrac cb + \dfrac ab = \dfrac{a+b+c}b - 1[/tex]

[tex]\dfrac bc + \dfrac ac = \dfrac{a+b+c}c - 1[/tex]

so that our equation simplifies to

[tex]\dfrac{a+b+c}a + \dfrac{a+b+c}b + \dfrac{a+b+c}c - 1 = 0[/tex]

which we can factorize as

[tex](a+b+c)\left(\dfrac1a+\dfrac1b+\dfrac1c\right) - 1 = 0[/tex]

Finish up by using the hypothesis:

[tex]\left(\dfrac1{\frac1{a+b+c}}\right)\left(\dfrac1a+\dfrac1b+\dfrac1c\right) - 1 = 0[/tex]

[tex]\underbrace{\left(\dfrac1{\frac1a+\frac1b+\frac1c}\right)\left(\dfrac1a+\dfrac1b+\dfrac1c\right)}_{=1} - 1 = 0[/tex]

and the conclusion follows.

Answer

3*9=27

27/ 1/5

5.25

Step-by-step explanation:

5.25=5 1/4

Answer:

c/d

Step-by-step explanation:

The value of π is the ratio of the circumference of any circle to it's diameter, irrespective of it's size.

Answer

Write properties of function:

x intercept/zero: [tex]x_1=-7[/tex]; [tex]x_2=-1[/tex]; [tex]x_3=2[/tex]

factorized form: [tex]f(x)=(x+1)(x-2)(x+7)[/tex]

Explanation

Write properties of function: Write properties of function:

x intercept/zero: [tex]x_1=-7[/tex]; [tex]x_2=-1[/tex]; [tex]x_3=2[/tex]

factorized form: [tex]f(x)=(x+1)(x-2)(x+7)[/tex]

Answer: Write properties of function:

x intercept/zero: [tex]x_1=-7[/tex]; [tex]x_2=-1[/tex]; [tex]x_3=2[/tex]

factorized form: [tex]f(x)=(x+1)(x-2)(x+7)[/tex]

Answer:

1. -5+3

2. -6+4

3. -8+6

Step-by-step explanation:

they all will equal -2

Answer:

-36-128b

Step-by-step explanation:

Simply take -36 out of the parentheses to get -36-128b.

3 cm/h easy peasy

Step-by-step explanation:

This exercise is about optimization and seeks to prove that if the new strategy of packing the discs is adopted, then h/r = [tex]\sqrt[4]{3}[/tex]/n ≈2.21.

We must determine the amount of metal consumed by each end, or the area of each hexagon.

The hexagon is divided into six congruent triangles, each of which has one side (s in the diagram) in common with the hexagon.

Step I

Next, let's derive the length of s = 2r tan π/6 = (2/([tex]\sqrt{3}[/tex])r². From this we can state that the area of each of the triangles are 1/2(sr) = (1/[tex]\sqrt{3}[/tex])r²

while the total area of the hexagon is 6 * (1/[tex]\sqrt{3}[/tex])r² = (2/[tex]\sqrt{3}[/tex])r².

From the above, we can state that the quantity we want to minimize is given as:

A =  2πrh + 2* (2/[tex]\sqrt{3}[/tex])r²

Step 2

Next, we substitute for h and differentiate. This gives us:

da/dr = - (2V/r²) + [tex]\sqrt[8]{3r}[/tex].

Let us equate the above to zero.

[tex]\sqrt[8]{3r} ^{3}[/tex] = 2V = 2πr²h ⇒  h/r =[tex]\sqrt[4]{3}[/tex]/n  

The above is approximately 2.21

Because d²A/dr²=[tex]\sqrt[8]{3}[/tex] + 4V/r[tex]^{3}[/tex] > 0 the above minimizes A.

Learn more about Optimization at:

https://brainly.com/question/17083176

#SPJ1

[tex]10^3 = 10 \times 10 \times 10 = 1000[/tex]

The equation of circle p with center at (-4, 2) and a radius of 4 units is (x + 4)² + (y - 2)² = 16

An equation is an expression that shows the relationship  between two or more numbers and variables.

The circle p has center at (-4, 2) with a radius of 4 units, hence, the equation is:

(x - (-4))² + (y - 2)² = 4²

(x + 4)² + (y - 2)² = 16

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

Formula

Volume = L * w * h

Givens

L = 7 feet

w = 4 feet

h = 5 feet

Solution

V = L * w * h             Substitute values into the formula

V = 7 * 4 * 5

V = 140 cubic feet.

Answer

140 ft^3

Answer:

D) 140 cubic feet

Step-by-step explanation:

The given information is,

→ Length (l) = 7 ft

→ Breadth (b) = 4 ft

→ Height (h) = 5 ft

Formula we use,

→ Volume of cuboid = l × b × h

Let's solve the problem,

→ l × b × h

→ 7 × 4 × 5

→ [ 140 ft³ ]

Hence, the volume is 140 ft³.

Answer:

V≈307.88in³

Step-by-step explanation:

V=πr2h

3=π·72·6

3≈307.87608in³

Answer:

[tex]98\pi[/tex]

Step-by-step explanation:

The formula of the volume of a cone is given by [tex]V=\frac{\pi r^2h}{3}[/tex], which, applying the values yields [tex]V=\frac{\pi 7^26}{3} = 98\pi[/tex]

Answer:

14.20669 years

Roughly 14 years and 2.5 months.

Step-by-step explanation:

Assuming this is compound interest.

The formula is [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

[tex]A=[/tex] Final Amount

[tex]P=[/tex] Principal Amount

[tex]r=[/tex] Interest Rate

[tex]n=[/tex] # of times interest is compounded per year

[tex]t=[/tex] Time in years

We are looking for the times in years to double the money so

[tex]2500*2=5000[/tex]

[tex]A=5000[/tex]

[tex]P=2500[/tex]

[tex]r=0.05[/tex]

[tex]n=1[/tex]

[tex]t=?[/tex]

Lets solve for [tex]t[/tex] .

Step 1.

Plug in our numbers into the compound interest formula.

[tex]5000=2500(1+\frac{0.05}{1}) ^{1*t}[/tex]

Step 2.

Simplify the equation.

Evaluate [tex]1+\frac{0.05}{1}=1.05[/tex]

Evaluate [tex]1*t=t[/tex]

[tex]5000=2500(1.05) ^{t}[/tex]

Step 3.

Divide both sides of the equation by [tex]2500[/tex]

[tex]\frac{5000}{2500}=1.05 ^{t}[/tex]

Evaluate [tex]\frac{5000}{2500}=2[/tex]

[tex]2=1.05 ^{t}[/tex]

Step 4.

Take the natural log of both sides of the equation and rewrite the right side of the eqaution using properties of exponents/logarithms.

[tex]ln(2)=t*ln(1.05)[/tex]

Step 5.

Divide both sides of the equation by [tex]ln(1.05)[/tex]

[tex]\frac{ln(2)}{ln(1.05)}=t[/tex]

Step 6.

Evaluate

[tex]t=14.20669[/tex]

Roughly 14 years and 2.5 months.

Answer:

1.35 square miles I think

Step-by-step explanation:

Answer:

Julie travels 1.35 miles on the same path every day.

Area = 1.35 miles

Step-by-step explanation:

What we know so far:

- It takes 2.4 miles to walk from house to school.

- The distance from the park to school is 2.1 miles.

- It takes 1.5 miles to walk from your house to the park.

The area of a triangle is 0.5 or 1/2 x base x height.

As a result, 1.5 x 1.8 divided by two equals 1.35.

So, Julie walks 1.35 miles every day on the same route.

Area = 1.35 miles

Hope this helps! :D Brainliest?