Las longitudes de dos lados de un octágono regular están representadas por las expresiones 2x + 4 y 3x-8. Encuentra la longitud de un lado del octágono

Answers

Answer 1

Answer:

La longitud del lado del octágono es de 28 unidades.

Step-by-step explanation:

Si las longitudes de los dos lados pertenecen a un octágono regular, entonces se satisface la siguiente condición:

[tex]2\cdot x + 4 = 3\cdot x - 8[/tex] (1)

A continuación, despejamos [tex]x[/tex] en (1):

[tex]3\cdot x - 2\cdot x = 4 + 8[/tex]

[tex]x = 12[/tex]

Ahora, determinamos la longitud del lado del octágono: ([tex]x = 12[/tex])

[tex]l = 2\cdot x + 4[/tex]

[tex]l = 28[/tex]

La longitud del lado del octágono es de 28 unidades.


Related Questions

What is the midpoint between (3,-1)and(7,-5)

Answers

it is (5,-3) hope that helps

What it (f+g)(y) for the functions
F(y)=5y^2-2y+1
G(y)=-3y^2-y-2

Answers

Answer:

The first choice

Step-by-step explanation:

In the picture above, Goodluck.

The figure below is a parallelogram. Find the value of x.

Answers

Answer:

13

Step-by-step explanation:

8x-6 = 98 and solve from there to get 13

help please find the x

Answers

Step-by-step explanation:

a)

Two of the three interior angles are known. Both are equal to 55°. This can be seen by looking closely at the picture. To find the third angle subtract the other two from 360°

[tex]360\textdegree-55\textdegree-55\textdegree=x[/tex]

b)

Do the same thing only afterward subtract the third angle from 180 to find the supplementary angle

[tex]360\textdegree-40\textdegree-28\textdegree=ans\textdegree\\180\textdegree-ans\textdegree=x[/tex]

Find the profit or loss if:
Cost price = $250 Selling price = $325
also state wether it’s a profit or loss

Answers

Answer:

moncy soup ñomi

Step-by-step explanation:

63=a-=

1. Samira wants to analyze the effect of drinking alcohol on the functioning capacity of the
liver. Her two research associates will conduct two separate studies about the same
topic. Ricochet will use an experiment approach. Tituba will use an observational study
approach. Determine what will be the difference between both studies.

Answers

Where are the answer choices lol

Find c. Round to the nearest tenth:

Answers

Answer:

c=56.3

Step-by-step explanation:

Sorry for the bad writing and diagram haha

Plot the value(s) on the number line where this function is equal to zero:

f(x) = (x + 5)(x − 1).

Answers

Step-by-step explanation:

if f(x)=0

then

(x+5)=0 and

(x-1)=0

solve for x

x=-5 and x=1

those are the two values where the function equals zero

Hope that helps :)

Answer:

Step-by-step explanation:

Hope this Helps ;)

What is the value of the y-coordinate of point A

Answers

Answer:

there's no pic

Step-by-step explanation:

can you re attach it plz I might be able to help

The image below is a kite. Find the value of x.

Answers

Answer:

x=55.5

Step-by-step explanation:

2x=111

Isolate x by dividing both sides by 111

x=55.5

100 points / please help

A baker has three different recipes. Recipe A uses 3 cups of flour to make 12 rolls. Recipe B uses 5 cups of flour to make 24 rolls. Recipe C uses 11 cups of flour to make 48 rolls. Which recipe uses the most cups of flour per roll?

a) Recipe A
b) Recipe B
c) Recipe C
d) The ratios are all proportional

Answers

Answer:

Recipe A

Step-by-step explanation:

Hope this helped!!!

Answer:

[tex]{\huge\red{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

Recipe A:

Cups of flour used = 3

Rolls made = 12

Cups of flour per roll

[tex] = \frac{3}{12} \\ = \frac{1}{4} \\ = 0.25[/tex]

Recipe B:

Cups of flour used = 5

Rolls made = 24

Cups of flour per roll

[tex] \frac{5}{24} \\ = 0.20[/tex]

Recipe C:

Cups of flour used = 11

Rolls made = 48

Cups of flour per roll

[tex] \frac{11}{48} \\ = 0.22[/tex]

Now compare Recipe A, B & C.

[tex]0.25 > 0.22 > 0.20[/tex]

Recipe A > Recipe C > Recipe B.

✏ So, Recipe A used the most cups of flour per roll (option a).

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]

2. A toy factory produces 280 fidget spinners per day, and
each spinner is tested before it is packaged and shipped. After
testing the first 40 spinners, Carlos finds 3 of them to be
defective. Based on these
results, which of the following is
likely the total number of defective spinners on that day?
F. 7
G. 21
H. 120
J. 240

Answers

Ffffffd hehehebe beene
Answer is 21. Workup in photo below. Good luck.

Please answer this question correctly

Answers

Answer:

6

Step-by-step explanation:

Answer: GE=6

Step-by-step explanation:

40-40x0+1 find PEMDAS

Answers

41 good luck buddy!!!!!!!!

P - Parentheses

E - Exponents

M - Multiply

D - Divide

A - Add

S - Subtract

PEMDAS, is just an order of operations...

In our order above, Multiplying comes BEFORE addition OR Subtraction...

40 x 0 = 0

Then moving to the front...

40 - 0 = 40...

Lastly, 40 + 1 = 41

Answer is 41

Helps are really appreciated!!

Answers

Answer:

a) 58.24 square centimeters

b) 5cm

Step-by-step explanation:

a) Area of a parallelogram

The formula for the Area of a parallelogram = Base × Height

Height : 5.2cm

Base : 11.2cm

Area = 5.2 cm × 11.2cm

= 58.24 square centimeters

b) Volume of a cuboid

The formula for the Volume of a cuboid = Length × Width × Height

7cm = Width

3cm = Length

y = Height

Volume = 105cm³

We are to find y

Hence,

105cm³ = 7cm × 3cm × y

y = 105cm³/7cm × 3cm

y = 5cm

Which figure will result from this net?

Answers

Pentagonal prism.

The shape will have bases that are pentagons.


What is the length of the hypotenuse in the following figure.

Answers

Answer:

5

Step-by-step explanation:

what do you mean ?? its already written there

Answer:

The answer is 5

Step-by-step explanation:

The answer is 5 because the length across from the right angle is always the hypotenuse.

It is desired to estimate the average weight of a new born baby. The birth records of arandom sample of 60 babies' weights showed a mean of 7.0 lbs and standard deviation of 1.5 lbs.Construct a 95% confidence interval forμ.

Answers

Answer:

95% confidence interval for the mean

(6.61251, 7.38749)

Step-by-step explanation:

Step:-1

Given that a random sample 'n' = 60

Given that mean of the sample x⁻ = 7.0

Given that the standard deviation of the sample (S) = 1.5

Level of significance = 0.05

Degrees of freedom = n-1 = 60-1 = 59

t₍₀.₀₅ , ₙ₋₁₎ = 2.0010

Step(ii):-

95% confidence interval for the mean is determined by

[tex](x^{-} - t_{0.05,n-1} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.05 , n-1} \frac{S.D}{\sqrt{n} } )[/tex]

[tex]( 7.0 - 2.0010 \frac{1.5}{\sqrt{60} } , 7.0 + 2.0010 \frac{1.5}{\sqrt{60} } )[/tex]

(7.0 - 0.38749 , 7.0 + 0.38749)

(6.61251 , 7.38749)

Final answer:-

95% confidence interval for the mean

(6.61251 , 7.38749)

<.< I’m dum(b) so pls answer the ones I circled

Answers

Answer:

40x-100/4

-15x+6

Step-by-step explanation:

A quantity with an initial value of 2000 grows exponentially at a rate of 0.35% every
2 days. What is the value of the quantity after 73 days, to the nearest hundredth?

Answers

Answer:

2272.03

Step-by-step explanation:

These cylinders are similar. Find the surface
area of the smaller cylinder. Round to the
nearest tenth.
5 cm
13 cm
Surface Area = [? ] cm2 Surface Area = 236 cm2

Answers

Answer:

[tex]A=141.6\ cm^2[/tex]

Step-by-step explanation:

The surface area of a cylinder is given by :

[tex]A=2\pi rh[/tex]

For larger cylinder, A = 236 cm² and h = 5 cm

So,

[tex]236=2\pi \times 5\times r\\\\r=\dfrac{236}{10\pi}\\\\r=7.51\ cm[/tex]

Now, Put r = 7.51 and h = 3 cm to find the surface area of the smaller cylinder.

[tex]A=2\pi \times 7.51\times 3\\\\A=141.56\ cm^2\\\\A=141.6\ cm^2[/tex]

So, the surface area of the smaller cylinder is equal to [tex]141.6\ cm^2[/tex].

Answer:

85

Step-by-step explanation:

i did it and got it right

x=2
y=4
pls make it into an ordered pair

Answers

The answer should be Y=2x+7

HELP I HAVE 5 MINUETS, DONT GUESS ITS NOT ADDING BTW

Answers

Answer:

63.554

Step-by-step explanation:

V=pir^2h

r=3.4/2

h=7

V=pi(1.7)^2(7)

=63.554

Help me out, math is confusing
Don't say you're confused too and not actually answer

Answers

Answer:

i think it would be A if not then B

Step-by-step explanation:

Jasmine goes bowling. She has $25.00 spend. She spends $4.50 to rent shoes. She spends $2.50 for each game she
bowls. Which inequality can Jasmine use to determine the greatest number of sames she can how

Answers

Answer:

25.00 < (with a line  under it) 4.50+2.50x

Step-by-step explanation:

Desiree made 100 cookies this week. She baked 4 more than three times the total she made last week. How many cookies did she bake last week.
3x + 4 = 100 x = 32 cookies

2) Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $21, then how many games did Shakira bowl?
4.75x + 3 = 21 x = 4 games

3) This year, Cornell’s class took one more than three times as many field trips as last year’s class. This year, Cornell’s class took a total of 7 trips. How many field trips did his class take last year?
3x + 1 = 7 x = 2 trips

4) This week, Jamyra spent a total of 100 minutes studying. This total was 8 more than four times the amount of minutes she studied last week. How many minutes did Jamyra spend studying last week?
4x + 8 = 100 x = 23 minutes

5) James earned a total of $900 last week. This total was $10 less than five times the amount he earned last week. How much money did James earn last week?
5x – 10 = 900 x = $182

6) Kaya rented a limousine for prom. There was a one-time charge of $100, plus an hourly rate of $45. Her total cost for the night was $347.50. How many hours did Kaya rent the limo for?
45x + 100 = 347.50 x = 5.5 hours

7) At a pizza eating competition, Davonne at two more than twice as many slices as the runner-up. If Davonne at 11 slices, then how many slices did the runner-up eat?
2x + 2 = 11 x = 4.5 slices

8) Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?
x/2 – 10 = 150 x = $320

9) Jasmine is 5 years younger than twice her sister’s age. If Jasmine’s sister is 22 years old. Then, how old is Jasmine?
2x – 5 = 22 x = 13.5 years

10) Ronnie charged his customers a flat fee of $25 to fix computers. Then he charged $20 for each hour that he spent fixing the computer. If Ronnie made $175 off of his first customer, how many hours did he spend working?
20x + 25 = 175 x = 7.5 hours

One of the legs of a right triangle measures 9 cm and the other leg measures 13 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
CAN I GET HELP PLEASE

Answers

Answer:

15.81

Step-by-step explanation:

A rectangle is divided into 8 equal parts. Two parts are shaded. What fraction is equvalent to the shaded area of the rectangle.

Answers

Answer: 1/4

Step-by-step explanation:

Since the rectangle is divided into 8 equal parts and two parts are shaded, this simply means that 2 out of 8 parts are shaded which is 2/8.

The fraction that's equvalent to the shaded area of the rectangle will be:

2/8 = (2 × 1) / (2 × 4) = 1/4

The equivalent fraction is 1/4

A 12-sided solid has equal-sized faces numbered 1-12

a. Find P(number greater than 10).

b.Find P(number less than 5)

c. If the 12-sided solid is rolled 200 times, how many times would you expect either a 4, 6, or 9 to be rolled?

Answers

Answer:

a) [tex]P(x > 2) = \frac{1}{6}[/tex]

b) [tex]P(x < 5) = \frac{1}{3}[/tex]

c) 50 times

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex]

Solving (a): P(x > 10)

First, list all outcomes of x

[tex]x = \{11,12\}[/tex] --- 2 outcomes

So, the probability is:

[tex]P(x > 2) = \frac{2}{12}[/tex]

Simplify

[tex]P(x > 2) = \frac{1}{6}[/tex]

Solving (b): P(x < 5)

First, list all outcomes of x

[tex]x = \{1,2,3,4\}[/tex] --- 4 outcomes

So, the probability is:

[tex]P(x < 5) = \frac{4}{12}[/tex]

Simplify

[tex]P(x < 5) = \frac{1}{3}[/tex]

Solving (c): Expected outcome of 4, 6 or 9 in a roll of 200

We have:

[tex]n = 200[/tex]

First, list all outcomes of x

[tex]x = \{4,6,9\}[/tex] --- 3 outcomes

So, the probability is:

[tex]P(x ) = \frac{3}{12}[/tex]

Simplify

[tex]P(x ) = \frac{1}{4}[/tex]

The expected number of rolls (E(x)) is calculated as:

[tex]E(x) = P(x) * n[/tex]

[tex]E(x) = \frac{1}{4} * 200[/tex]

[tex]E(x) = 50[/tex]

A pasture with horses and goats has a width
of 1/4 mile. The length of the pasture is
represented by x + 8 . Which pair of expressions
represents the area of the pasture and uses the
distributive property to show equivalence?

Answers

Answer:

x=-31/4

Step-by-step explanation:

1/4 =x+8

Step 1: Flip the equation.

x+8=

1

4

Step 2: Subtract 8 from both sides.

x+8−8=

1

4

−8

Plzzzz Help
Matthew is planning to build a right triangular flower bed as shown below. He has set up the flower bed so that the following is true. Which of the following statements about the flower bed is true?

Answers

The answer is The length of line segment AB is twice the length
of liar segment oC.
the length of line segment AB is twice the length of
line segment Bc.
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