The four sides of an octagon that are vertical or horizontal are all one length, while the four slanted sides are 4 inches less. If the perimeter is 124 inches, how long are the shorter sides?

Answers

Answer 1

9514 1404 393

Answer:

  13.5 in

Step-by-step explanation:

Let s represent the length of a short side. Then a long side is (s+4). The perimeter is ...

  P = 4s +4(s+4)

  124 = 8s +16

  15.5 = s +2 . . . . . . divide by 8

  13.5 = s . . . . . . . . . subtract 2

The shorter sides are 13.5 inches long.


Related Questions

To compute the necessary sample size for an interval estimate of a population proportion, all of the following procedures are recommended when p is unknown except :____________

a. use the sample proportion from a previous study.
b. use the sample proportion from a preliminary sample.
c. use 1.0 as an estimate.
d. use judgment or a best guess.

Answers

I think the answer is A

Answer:

c- use 1.0 as an estimate

Step-by-step explanation:

Find the measure of x.
SOMEONE PLEASE HELP

Answers

Answer should be 20


4x5=20

A graphic designer creates a logo in the shape of an ellipse. The equation x^2/64 + y^2/14.44 = 1, with units in centimeters,
represents the outer edge of the logo. How tall is the logo?
a. 3.8 cm
b. 7.6 cm
c. 8 cm
d. 16 cm

Answers

Using the equation of ellipse, the height of the logo is 7.6cm

What is equation for ellipse?

The equation of ellipse having a center (h, k) is given as;

[tex]\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1[/tex]

where a is the semi-major axis and b is the semi-minor axis. The major axis is the longer of the two axes, and the minor axis is the shorter of the two axes. The center of the ellipse is the point (h, k).

The graph of an ellipse is a closed curve that is similar to a circle, but it is not a circle. The ellipse is wider than it is tall if a > b, and it is taller than it is wide if a < b.

In the given problem;

The equation for an ellipse is

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1,[/tex] where a is the semi-major axis and b is the semi-minor axis. In this case, a = √64 = 8 and b = √14.44 = 3.8

Since b = 3.8, the height of the logo = 2b = 2 * 3.8 = 7.6cm

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539,904 nearest 10 for my homwork

Answers

Answer:

539,900 if thats what you're looking for.

Step-by-step explanation:

Answer:

539900

Step-by-step explanation:

the parent cosine function is transformed to create the function m(x) =-2cos(x+π). which graphed function has the same amplitude as function m

Answers

Answer: Graph D

Step-by-step explanation: Got it right on plato

The graph of a function with the same amplitude as m(x) is graph D.

Which graphed function has the same amplitude as m(x)?

The general cosine function is written as:

f(x) = A*cos(kx) + M

Where A is the amplitude, k is the angular frequency, and M is the midline.

In our case:

m(x) = -2*cos(x+π).

The amplitude is -2, which means that the distance between a peak and a trough must be twice the absolute value of the amplitude:

2*|-2| = 4

With this in mind, the only graph that meets this requirement is the graph D.

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1. Alex was solving an equation with the variable x. Upon simplifying the equation, he
concluded that the equation has no solution. Which equation could be Alex's equation
after he simplified it?
B.
A X0
X2
C3=3
D4=5

Answers

Answer:did you get the answer yet cause I really need it

Step-by-step explanation: please y’all help this person answer the question

What is the value of the expression 1/7 divided by 5 ?

Answers

Answer:

It would be 1/35.

Step-by-step explanation:

You turn 5 into 1/5 and then multiply 1/7 with 1/5, which is 1/35.

The value of the expression 1/7 divided by 5 is,

⇒ 1 / 35

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The expression is,

⇒ 1/7 divided by 5

Now, We can simplify as;

⇒ 1/7 divided by 5

⇒ 1 / 7 ÷ 5

⇒ 1 / 7×5

⇒ 1 / 35

Thus, The value of the expression 1/7 divided by 5 is,

⇒ 1 / 35

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MATH MATH MATH MATHHHHHHHHHHHHHH

Answers

Answer:

1. Obtuse angle

2. 5

3. 117

Step-by-step explanation:

1. Any angle that is wider than 90 degrees is obtuse.

2. 180 = straight angle so, 180-140=40 8x5=40 so x=5

3. Supplementary angles are one angle that is 180 so, 180-63= 117

HELP ME PLEASEEEEEEEEEE

Answers

I hope this helps- i need to write words so here this lol yep yep have a nice day- :)

Use substitution. What is the solution to the system of equations? Use the drop-down menus to explain your answer.

y = 12x + 2
2y = x + 4

choose
The system of equations has no solution,infinitely many solutions, one solution The two equations represent parallel lines, the same lines, intersecting lines.

Answers

Answer:

The system of equations has one solution. The two equations are intersecting lines.

Step-by-step explanation:

if you want to use the substitution method, you would have to plug in y for 12x+2 in the second equation.

2(12x+2)=x+4

next, you have to distribute

24x+4=x+4

subtract 24x from each side

4=-23x+4

subtract 4 from each side

0=23x

divide each side by 23

x=0

now, plug in 0 to one equation.

y=12(0)+2

y=2

the lines intersect at one point, (0,2)

Solve the equation. I just want an answer that is correct. I'm don't understand how to solve this.

Answers

Answer:

2222333344445555666677778888

Step-by-step explanation:

I don't see the thing


Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10.

Answers

Answer:

The first option.

Step-by-step explanation:

You take the major vertical length and put it into this equation:

2a = 16

a/2 = 16/2

a = 8

You do the same with the minor length.

2b = 10

b/2 = 10/2

b = 5

You then switch the a^2 and the b^2 due to the fact that the veritcal length is longer than the horizontal. Then you use the formula to plug in 8 and 5.

(x - h)^2 / b^2 + (y - k)^2 / a^2 = 1

(x - h)^2 / 5^2 + (y - k)^2 / 8^2 = 1

I will give Brainiest if you are right

Answers

The answer is J. When the circle on the graph is filled in, that means that number is included in the solution.

25x </= 300

Divide both sides by 25

x </= 12

Answer: J

Number line J. beast represents the solution to the inequality.

Step-by-step explanation:

Have a nice day!

Give the other person brainliest! :-)

Plz ASAP help with question 15 I really need help

Answers

Answer: 407

Use formula 2πrh+2πr
Hope this helps

Sara was thinking of a number. Sara divides by 2, then adds 10 to get an answer of 6. What was the original number?

Answers

Answer:

The original number was -8

Step-by-step explanation:

You can find this out because -8 divided by 2 is -4 and then plus 10 would become 6

Answer:

-8

Step-by-step explanation:

We know that Sara has a number by which she divides by 2, added 10 and ended up with 6. We are then asked to find the original number she had in mind.

To solve, we need to go backwards, starting with the original number, and applying all the steps she did but with the opposite operation.

6 is her ended number, we know before she added 10, so subtract 10 from 6:

[tex]6-10=-4[/tex]

Now we know that she divided by 2, therefore multiply -4 by 2:

[tex]-4*2=-8[/tex]

-8 was Sara's first number.

isaac invested $77,000 in an account paying interest rate of 4.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be the count after 12 years?

Answers

Answer:

$133,728 would be in the count after 12 hours.

Step-by-step explanation:

Continuous compounding:

The amount of money, in continuous compounding, after t years, is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial deposit and r is the interest rate, as a decimal.

Isaac invested $77,000 in an account paying interest rate of 4.6% compounded continuously.

This means that [tex]P(0) = 77000, r = 0.046[/tex]

Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be the count after 12 years?

This is P(12). So

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]P(12) = 77000e^{0.046*12} = 133728[/tex]

$133,728 would be in the count after 12 hours.

Using property simplify 472x96+472x4

Answers

Answer:

183136 is the correct answer

a. Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.
b. Eliminate the parameter to find a Cartesian equation of the curve.

x=1 + 3t, y= 2-t^2

Answers

Answer:

y  =  2 -  ( x - 1)²/9

Step-by-step explanation: See Annex

As the parameter t increases,  the value of x increases and the value of y decreases, we get the figure of the annex ( the arrow in the Annex indicates the way of the curve with t increasing.

b) to eliminate the parameter:

x  =  1  + 3*t    (1)          y  =  2  -  t²  (2)

Then  from equation (1)  t  = ( x  - 1 ) / 3

plugging that value in equation (2)

y  =  2  -  [ (  x  -  1 ) / 3 ]²

y  =  2  - ( x² + 1 - 2*x)/9

9*y  =  18  - x² + 1 - 2*x    or    y  =  2 -  ( x - 1)²/9

The curve is a parabol

Yolanda is planning out her square vegetable garden, One side 6 feet. How
can I represent the area with exponents?

Answers

Answer:

6^2

Step-by-step explanation:

A square has equal sides. The area of a rectangle or square is LxW. Since the length and width are the same it is squared or put to the power (exponent) of 2.

The Unit Circle

In a unit circle, the sine of the angle is represented by the vertical leg of the triangle. What is represented by the horizontal leg of the triangle?

a. cosecant of the angle
b. tangent of the angle
c. cosine of the angle
d. cotangent of the angle

Please select the best answer from the choices provided

Answers

Answer:

c. cosine of the angle

Step-by-step explanation:

Cos = adj/hyp

in unit circle

cos = x/1

cos = x

x is the horizontal leg

Answer:

C. Cosine of the angle

Step-by-step explanation:

I calculated it logically

Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $7.50. Barry orders one coffee and three doughnuts and pays $5.00. Cathy orders three coffees, one juice, and four doughnuts and pays $11.50. Find the price of coffee, juice, and doughnuts at this coffee shop.

Answers

Answer:

Coffee = $2.00

Juice = $1.50

Doughnut = $1.00

Step-by-step explanation:

Given

Let:

[tex]c = coffee\\ j= juice\\ d = doughnut[/tex]

So, we have:

Anna

[tex]2c + j + 2d = 7.50[/tex]

Barry

[tex]c + 3d = 5.00[/tex]

Cathy

[tex]3c + j + 4d = 11.50[/tex]

Required

The price of each

We have:

[tex]2c + j + 2d = 7.50[/tex]

[tex]c + 3d = 5.00[/tex]

[tex]3c + j + 4d = 11.50[/tex]

Make c the subject in: [tex]c + 3d = 5.00[/tex]

[tex]c = 5.00 - 3d[/tex]

Substitute [tex]c = 5.00 - 3d[/tex] in [tex]2c + j + 2d = 7.50[/tex] and [tex]3c + j + 4d = 11.50[/tex]

[tex]2c + j + 2d = 7.50[/tex]

[tex]2[5.00 - 3d] + j + 2d = 7.50[/tex]

[tex]10.00 - 6d+ j + 2d = 7.50[/tex]

Make j the subject

[tex]j = 7.50 - 10.0 +6d - 2d[/tex]

[tex]j = -2.50 +4d[/tex]

[tex]3c + j + 4d = 11.50[/tex]

[tex]3[5.00 - 3d] + j + 4d = 11.50[/tex]

[tex]15.00 - 9d + j + 4d = 11.50[/tex]

Make j the subject

[tex]j = 11.50 - 15.00 + 9d -4d[/tex]

[tex]j = -3.50 + 5d[/tex]

So, we have:

[tex]j = -3.50 + 5d[/tex] and [tex]j = -2.50 +4d[/tex]

Equate both values of  j

[tex]-3.50 + 5d = -2.50 + 4d[/tex]

Collect like terms

[tex]5d - 4d = 3.50 -2.50[/tex]

[tex]d = 1.00[/tex]

Substitute [tex]d = 1.00[/tex] in [tex]j = -3.50 + 5d[/tex]

[tex]j = -3.50 + 5d[/tex]

[tex]j = -3.50 + 5 * 1.00[/tex]

[tex]j = -3.50 + 5.00[/tex]

[tex]j = 1.50[/tex]

To solve for c, we substitute [tex]d = 1.00[/tex] in [tex]c + 3d = 5.00[/tex]

[tex]c + 3 * 1.00 =5.00[/tex]

[tex]c + 3.00 =5.00[/tex]

Solve for c

[tex]c =- 3.00 +5.00[/tex]

[tex]c =2.00[/tex]

Find the complete factored form of the
polynomial:
- m2n5 - 4m3n6
Enter the correct answer.

Answers

Answer:

-m^2n^5(1+4mn)

Easton is deciding between two landscaping companies for his place of business.
Company A charges $25 per hour and a $150 equipment fee. Com piny B charges $35
per hour and a $100 equipment fee. Let A represent the amount Company A would
charge for t hours of landscaping, and let B represent the amount Company B would
charge fort hours of landscaping. Write an equation for each situation, in terms oft,
and determine the number hours, t, that would make the cost of each company the
same.

Answers

Answer:

i. A = $25 t + $150

ii. B = $35 t + $100

iii. Number of hours = 5

Step-by-step explanation:

For company A:

A = $25 t + $150

where A is the amount charged and t is the number of hours of landscaping.

For company B:

B = $35 t + $100

where B is the amount charged and t is the number of hours of landscaping.

When the time  is 5 hours, then:

i. A = $25 t + $150

     = $25 (5) + $150

     = $125 + $150

A = $275

ii. B = $35 t + $100

      = $35(5) + $100

      = $175 + $100

B = $275

Therefore, the number of hours that would make the cost of each company to be the same is 5 hours.

Determine the radius of a cone that has a volume of 230 ft' and a height of 15 ft.
Round the answer to the nearest tenth.

Answers

Answer:

the formula for finding cone volume is V=πr²× 1/3

Step-by-step explanation:

230=3.14×x²×1/3

we have to solve for X that is our radius

14.8

solve for c 2(3-2c)=30

Answers

Answer:

6-4c

Step-by-step explanation:

2(3-2c)

2×3+2×-2c

6+2×-2c

6-4c

Answer:

-6

Step-by-step explanation:

Please help I would be really happy:)

Answers

I think that it is two bins

Of 36 chemical elements, 2 are named for women scientist and 25 are named for palces. What fraction of these 36 elements are named for women or place? Show your work

Answers

Answer:

27/36

Step-by-step explanation:

25 + 2 = 27

total = 36

What are the first three terms of a geometric sequence in which as = 25 and the common ratio is 5?
1 1
1
25'5
25,125,625
1 1 1
25'125 '625
O 125, 25, 5
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

The first three terms are: 25, 125 and 625

Step-by-step explanation:

Given

[tex]a =25; r = 5[/tex]

Required

The first three terms

The nth term of a geometry progression is:

[tex]T_n =ar^{n-1[/tex]

So, we have:

First term: [tex]n = 1[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_1 =25 * 5^{1-1[/tex]

[tex]T_1 =25 * 5^0[/tex]

[tex]T_1 =25 * 1[/tex]

[tex]T_1 =25[/tex]

Second term: [tex]n = 2[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_2 =25 * 5^{2-1[/tex]

[tex]T_2 =25 * 5^{1[/tex]

[tex]T_2 =25 * 5[/tex]

[tex]T_2 =125[/tex]

Third term: [tex]n = 3[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_3 =25 * 5^{3-1[/tex]

[tex]T_3 =25 * 5^{2[/tex]

[tex]T_3 =25 * 25[/tex]

[tex]T_3 =625[/tex]

Answer: 25,125,625

Step-by-step explanation:

edg 2

please help :((
Use the zeros and the labeled point to write the quadratic function represented by the graph. (1.4)

A. y= x2 - 5x + 6
B. y = 2x2 - 2x - 12
C. y = 2x2 - 10x + 12
D. y = 3x2 + 15x + 18​

Answers

The quadratic function represented by the graph as given in the attached image is; Choice C; y = 2x² - 10x + 12.

What is the quadratic function represented by the graph?

It follows from the task content that the quadratic function which is represented by the graph be determined.

Since the quadratic function can be modelled as follows; y = a (x - p) (x -q) where; a is a constant, and p and q are the roots of the quadratic function.

Hence, since it follows that the roots are 2 and 3; we have;

y = a (x - 2) (x -3)

Hence, to determine the value of constant, a, we must substitute the values defined by the point given; (1, 4) as follows;

4 = a (1 -2) (1 -3)

4 = a(-1) (-2)

4 = 2a

a = 2.

On this note, the required equation is; y = 2 (x - 2) (x - 3).

Ultimately, the required quadratic function is; Choice C; y = 2x² - 10x + 12.

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Probability distribution

Answers

Answer:

a) The value of q is 0.2.

b) E(X) = 1.85.

Step-by-step explanation:

Question a:

The sum of all the probabilities must be 1. So

[tex]0.3 + x + 0.1 + 0.15 + 0.25 = 1[/tex]

[tex]x + 0.8 = 1[/tex]

[tex]x = 0.2[/tex]

The value of q is 0.2.

Question b:

Multiplication of each value of x by its probability. So

[tex]E(X) = 0*0.3 + 1*0.2 + 2*0.1 + 3*0.15 + 4*0.25 = 1.85[/tex]

So the answer is E(X) = 1.85.

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For the first week of January, Kim Walker worked 45.25 hours. Kim earns 10.90 an hour. Her employer pays overtime for all hours worked in excess of 40 hours per week and pays 1.5 times the hourly rate for overtime hours. Find the Volume of a cube with edges feet long. Isaac has a games rental business where his customers pay an annual membership and a fixed cost for each game rented. The following table shows the total bill for some new customers who rented different games . Plz help no links :) The gene resulting in the phenotype of flat fingernails is recessive. Rounded fingernails are dominant. Two parents have the genotype Ff and Ff. What are the chances their child will have flat fingernails? Can I have the slope and y intercept for 2y - 4x - 10 =0 In 2003, President Bush determined that it was vital to the national security of the United States to invade Iraq and force the removal of Saddam Husseins government. In addition to the brutality Hussein inflicted on his people, including the use of chemical weapons, the Bush Administration believed Hussein was in possession of weapons of mass destruction. Colin Powell appeared before the United Nations to show aerial photographs that were interpreted as proof that Iraq was pursuing a nuclear weapon. Husseins refusal to cooperate with international inspectors lent credence to this belief. Further, the President accused Hussein of cooperating with al-Qaeda. Prior to beginning the invasion, the Bush Administration presented justification to the United Nations, and also attempted to resolve the nuclear weapon issue by working with the International Atomic Energy Agency. The United Nations issued numerous sanctions against Iraq. Seeking approval and cooperation from these international bodies before beginning the invasion is consistent with: a. the principle of double effect. b. natural law. c. positivist law. d. the "front page" test. The graph of (1) Is shown. Which graph represents g(x) = S(2x)? Which equation is equivalent to the given equation?-4(1 5) + 8x = 9x - 3 Please helpWhich line is perpendicular to 4y+3x=12?A)3x+4y=8B)y=-3x+8C)y+4x=-3D)8x-6y=18 If you roll two dice, what is the probability that the sum is 9? What is the probability of getting a heads on a coin and then getting a 5 on a number cube? What were the effects of the Crusades? (Check all that apply)ADecreased trade between Europe and the Middle EastBIncrease trade between Europe and the Middle EastCFeudalism began to declineDMonarchies (Kings and Queens) strengthenedEMonarchies weakenedFThe Holy Land remained under Muslim control Why didn't The Roman government like Jesus and Christianity? Which theme do these lines support?Good leaders show personal responsibility.Overconfidence can lead one to danger.Help often comes to individuals who work hard.Love and family make a homecoming worthwhile. A. 1/36B. 1/18C. 1/3D. 1/6 PLZZ HURRY NO LINKS!!!! Joseph attends a school that has 800 students. He is in charge of school dances this year. He surveyed a random sample of 100 students and got the following feedback.710 of the students would attend any of the dances held at the school25 of the students would like to have pizza served at the dances410 of the students would attend a square dance64% of the students think that the dances should be held after football games18% of the students are not allowed to attend dances at schoolWhich THREE statements are supported by Joseph's data?A Out of 800 students, Joseph could expect around 480 students to attend a square dance.B Joseph should plan for around 560 students at each dance based on the data.C Joseph found that no more than 320 students would want pizza at the school dance.D Out of the 800 students, 288 do not like to attend dances after the football games.E The dances will be attended by around 700 of the students that attend the schoo I need help asap please i forgot how to do it I need this answer today i will give you a crown and good raitings if you get it write and you give it to me today Which element is in the same group as Al (aluminum)?O A. B (boron)O B. Si (silicon)O C. Zn (zinc)O D. Mg (magnesium)