A rectangle has a perimeter of 56 centimeters and a height of 12 centimeters. What is the length of the base?

Answers

Answer 1

Step-by-step explanation:

this is a college level question ? elementary school students must be able to solve this.

the perimeter of a rectangle is

2×length + 2×width

as when you walk around a rectangle one full time, you have to walk the long side twice and the short side twice - it has 4 sides, you know.

other words for length : base, ...

other words for width : height, breadth, ...

so, we know

56 = 2×12 + 2×base = 24 + 2×base

now we can make it totally simple right away and divide everything by 2

28 = 12 + base

16 = base

the base (or length) is 16 cm.


Related Questions

si lanzas 3 monedas (de diferente denominación) se tienen 8 resultados. ¿cuantos habrá si se lanzan 4 monedas?​

Answers

Answer:

la respuesta es 16vpor que aumenta 2

The value of a machine is decreasing by a constant percent rate each year. Which table could represent the possible value of the machine at the end of each year?

Answers

Answer:

C

Step-by-step explanation:

The possible value of the machine at the end of each year will be $3200

What is depreciation?

Depreciation in economics is a measure of the amount of value an asset loses from influential factors affecting its market value.

Given that, the value of a machine is decreasing by a constant percent rate each year, we need to find the possible value of the machine at the end of each year,

So, we can say that this is a case of depreciation,

Since, the values are not given, let us consider the rate be 20% and the initial price of the machine be $16000.

We know that, the depreciation, formula is given by :

A = P(1-r)ⁿ

Where, A = final amount, P = initial amount, r = rate and n = time.

Since, the value is decreasing by a constant percent rate each year,

Therefore, every year the amount decreased will be same,

Finding for 1 year,

A = 16000(1-0.2)¹

A = 16000(0.8)

A = 12800

The amount decreased = 16000-12800 = $3200

Therefore, after each year the decreased amount will be $3200

Hence, the possible value of the machine at the end of each year will be $3200

Learn more about depreciation, click;

https://brainly.com/question/15085226

#SPJ6

Two unequal values that are compared using less than (<) and greater than (>) signs.

Answers

Answer:

I'm pretty sure it's D

Step-by-step explanation:

maths

Sorry for the blur but I need help with this one objective: find all seven angles

Answers

I know u need to add diverse then add again then u will get your answer which is 25

Find the z-score boundaries that separate a normal distribution as described in each of the following. a. The middle 20% from the 80% in the tails. b. The middle 50% from the 50% in the tails. c. The middle 95% from the 5% in the tails. d. The middle 99% from the 1% in the tails.

Answers

Answer:

a) The boundaries are [tex]Z = \pm 0.253[/tex]

b) The boundaries are [tex]Z = \pm 0.675[/tex].

c) The boundaries are [tex]Z = \pm 1.96[/tex].

d) The boundaries are [tex]Z = \pm 2.575[/tex].

Step-by-step explanation:

Z-score:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

a. The middle 20% from the 80% in the tails.

The middle 20% is between the 50 - (20/2) = 40th percentile and the 50 + (20/2) = 60th percentile:

40th percentile: Z has a pvalue of 0.4, so Z = -0.253.

60th percentile: Z has a pvalue of 0.6, so Z = 0.253.

The boundaries are [tex]Z = \pm 0.253[/tex].

b. The middle 50% from the 50% in the tails.

The middle 50% is between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile:

25th percentile: Z has a pvalue of 0.25, so Z = -0.675.

75th percentile: Z has a pvalue of 0.75, so Z = 0.675.

The boundaries are [tex]Z = \pm 0.675[/tex].

c. The middle 95% from the 5% in the tails.

The middle 95% is between the 50 - (95/2) = 2.5th percentile and the 50 + (95/2) = 97.5th percentile:

2.5th percentile: Z has a pvalue of 0.025, so Z = -1.96.

97.5th percentile: Z has a pvalue of 0.975, so Z = 1.96.

The boundaries are [tex]Z = \pm 1.96[/tex].

d. The middle 99% from the 1% in the tails.

The middle 99% is between the 50 - (99/2) = 0.5th percentile and the 50 + (99/2) = 99.5th percentile:

0.5th percentile: Z has a pvalue of 0.005, so Z = -2.575.

99.5th percentile: Z has a pvalue of 0.995, so Z = 2.575.

The boundaries are [tex]Z = \pm 2.575[/tex].

The z-score boundaries, Z for a middle 20% from the 80% in the tails = [tex]\pm 0.253[/tex].The z-score boundaries, Z for a middle 50% from the 50% = [tex]\pm 0.675[/tex].The z-score boundaries, Z for a middle 95% from the 5% = [tex]\pm 1.96[/tex].The z-score boundaries, Z for a middle 99% from the 1% = [tex]\pm 2.575[/tex].

What is a z-core?

A z-core is also referred to as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.

In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:

[tex]Z=\frac{x\;-\;u}{\delta}[/tex]

Where:

x is the observed data.u is the mean.[tex]\delta[/tex] is the standard deviation.

a. A middle 20% from the 80% in the tails.

Note: The middle 20% is between the 40th percentile and 60th percentile.

40th percentile (p-value = 0.4) and Z = -0.253.60th percentile (p-value = 0.6) and Z = 0.253.

Z = [tex]\pm 0.253[/tex]

b. A middle 50% from the 50% in the tails.

Note: The middle 50% is between the 25th percentile and 75th percentile.

25th percentile (p-value = 0.25) and Z = -0.675.75th percentile (p-value = 0.75) and Z = 0.675.

Z = [tex]\pm 0.675[/tex]

c. A middle 95% from the 5% in the tails.

Note: The middle 95% is between the 2.5th percentile and 97.5th percentile.

2.5th percentile (p-value = 0.025) and Z = -1.96.97.5th percentile (p-value = 0.975) and Z = 1.96.

Z = [tex]\pm 1.96[/tex]

d. A middle 99% from the 1% in the tails.

Note: The middle 99% is between the 0.5th percentile and 99.5th percentile.

0.5th percentile (p-value = 0.025) and Z = -2.575.99.5th percentile (p-value = 0.975) and Z = 2.575.

Z = [tex]\pm 2.575[/tex]

Read more on z-scores here: https://brainly.com/question/4302527

Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20th percentile 20 Correct: Your answer is correct. 25th percentile 21 Incorrect: Your answer is incorrect. 65th percentile 27.5 Incorrect: Your answer is incorrect. 75th percentile 28 Incorrect: Your answer is incorrect.

Answers

Answer:

[tex]P_{20} = 20[/tex] --- 20th percentile

[tex]P_{25} = 21.75[/tex]  --- 25th percentile

[tex]P_{65} = 27.85[/tex]   --- 65th percentile

[tex]P_{75} = 29.5[/tex]   --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

[tex]P_{20} = 20 * \frac{N +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{8 +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{9}{100}[/tex]

[tex]P_{20} = \frac{20 * 9}{100}[/tex]

[tex]P_{20} = \frac{180}{100}[/tex]

[tex]P_{20} = 1.8th\ item[/tex]

This is then calculated as:

[tex]P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)[/tex]

[tex]P_{20} = 16 + 0.8*(21 - 16)[/tex]

[tex]P_{20} = 16 + 0.8*5[/tex]

[tex]P_{20} = 16 + 4[/tex]

[tex]P_{20} = 20[/tex]

Solving (b): The 25th percentile

This is calculated as:

[tex]P_{25} = 25 * \frac{N +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{8 +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{9}{100}[/tex]

[tex]P_{25} = \frac{25 * 9}{100}[/tex]

[tex]P_{25} = \frac{225}{100}[/tex]

[tex]P_{25} = 2.25\ th[/tex]

This is then calculated as:

[tex]P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)[/tex]

[tex]P_{25} = 21 + 0.25(24-21)[/tex]

[tex]P_{25} = 21 + 0.25(3)[/tex]

[tex]P_{25} = 21 + 0.75[/tex]

[tex]P_{25} = 21.75[/tex]

Solving (c): The 65th percentile

This is calculated as:

[tex]P_{65} = 65 * \frac{N +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{8 +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{9}{100}[/tex]

[tex]P_{65} = \frac{65 * 9}{100}[/tex]

[tex]P_{65} = \frac{585}{100}[/tex]

[tex]P_{65} = 5.85\th[/tex]

This is then calculated as:

[tex]P_{65} = 5th + 0.85(6th - 5th)[/tex]

[tex]P_{65} = 27 + 0.85(28 - 27)[/tex]

[tex]P_{65} = 27 + 0.85(1)[/tex]

[tex]P_{65} = 27 + 0.85[/tex]

[tex]P_{65} = 27.85[/tex]

Solving (d): The 75th percentile

This is calculated as:

[tex]P_{75} = 75 * \frac{N +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{8 +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{9}{100}[/tex]

[tex]P_{75} = \frac{75 * 9}{100}[/tex]

[tex]P_{75} = \frac{675}{100}[/tex]

[tex]P_{75} = 6.75th[/tex]

This is then calculated as:

[tex]P_{75} = 6th + 0.75(7th - 6th)[/tex]

[tex]P_{75} = 28 + 0.75(30- 28)[/tex]

[tex]P_{75} = 28 + 0.75(2)[/tex]

[tex]P_{75} = 28 + 1.5[/tex]

[tex]P_{75} = 29.5[/tex]

An album sells for $16.00 through an online music service. If the album is 20% off, and sales tax is 8%, what is the total price of the album including tax?
A: $13.95
B: $13.82
C:$12.96
D:$14.69

Answers

Answer:

rupees 14.69

Step-by-step explanation:

rupees 14.69

I hope this answer correct

Classify each pair of numbered angles.

Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.

Answers

Answer:

1 and 2 adjacent

5 and 6 are linear pair

Step-by-step explanation:

A recipe requires 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the relationship.
A. y=4x
B. y=4x+1/4
C. y=1/4x+4
D. y=1/4x

Answers

Answer:

i think it is a but i am not shore. Hope this helps

Step-by-step explanation:

A $30 sweater is having a 20% discount. What should be the price of the sweater after the discount?

Answers

Answer:

$24

Step-by-step explanation:

$24

30 x .80 equals 24

Hope this helps!

Plz, Mark Brainliest!

Please help marking brainliest serious answers only

Answers

Answer:

d

Step-by-step explanation:

please mark me as brainlist and be happy

add me on sñap my ID is: arshad2623f

please i just wanted to make friends cuz I'm alone BTW I'm 15yo

Answer:

Consecutive Interior

Step-by-step explanation:

When two lines are crossed by another line (called the Transversal) The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.

Help needed with this asap

Answers

Answer:

f(-3) = 4(-3) + 5 = -12 + 5 = -7. the answer is #2.

2 , I just did this and got it right

Can you just solve these two problems I don’t get it. Please help

Answers

Answer:

PROBLEM 5: 80

PROBLEM 6: 94

Step-by-step explanation:

PROBLEM 5:

5(2 times 5 + 6)

=5(10+6)

5(16) = 5 times 16

=80

PROBLEM 6:

4 times(5 to the power 2)-6

4(25)-6

=100-6

=94

Given the linear function of 3x – 7y= 14, determine the ordered pair where the line
crosses the y axis. Remember to write your answer in form (x,y)

Answers

Answer:

(0, -2)

Step-by-step explanation:

Crosses the y-axis = find the y-intercept. Substitute x = 0 (if you draw a graph, you can see that the point where y crosses the y axis is always 0 for x) into the equation, and you get 3(0) - 7y = 14. Calculate, you get y = -2. Rewrite in coordinates form.

the problem is (0,-2)

Factor 3n^2 + 5n - 2
PLZ HELP

Answers

Answer:

(3n - 1)(n + 2)

Step-by-step explanation:

h(1) = 9
h(2) = 3
h(n) =h(n − 2).h(12 - 1)
h(3) =

Answers

Answer:

mariana bedoya sanchez

Answer:

27

Step-by-step explanation:

it was right on khan academy

A large university accepts ​60% of the students who apply. Of the students the university​ accepts, ​30% actually enroll. If 30,000 students​ apply, how many actually​ enroll?

Answers

Answer:

Your answer is

60% apply means 30k *0.6= 18000

30% enroll so,.0.3*18k = 5400

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

Answer:

5400 students

Step-by-step explanation:

well 60% of 30000 would be 18000 which is the amount who gets accepted. 30% of 18000 would be who actually enrolls

___
H is the midpoint of IJ and IH = 0.75 find HJ

Answers

The answer is 1.5 bc 0.75 times 2 since it’s the midpoint

Jeff Brown has collected sales data for his cupcake stand. Calculate the exponential smoothing forecast for period 13 with α = 0.4. And F2 = A1. Round your answers to 2 decimals. Time 1 2 3 4 5 6 7 8 9 10 11 12 Sales 48 41 37 32 36 31 43 52 60 48 41.9 29.7

Answers

Answer:

The exponential smoothing forecast for period 13 = 39.68

Step-by-step explanation:

As given,

[tex]\alpha[/tex] = 0.4

Time                 Sales                              forcast

1                            48                                  

2                           41                                 48

3                           37                                 48 + [tex]\alpha {(41 - 48)}[/tex] = 45.2

4                           32                                 45.2 + [tex]\alpha {(37 - 45.2)}[/tex] = 41.92

5                           36                                 41.92 + [tex]\alpha {(32 - 41.92)}[/tex] = 37.95

6                           31                                 37.95 + [tex]\alpha {(36 - 37.95)}[/tex] = 37.17

7                            43                                 37.17 + [tex]\alpha {(31 - 37.17)}[/tex] =  34.70

8                           52                                 34.70 + [tex]\alpha {(43 - 34.70)}[/tex] = 38.02

9                           60                                 38.02 + [tex]\alpha {(52 - 38.02)}[/tex] = 43.61

10                          48                                 43.61 + [tex]\alpha {(60 - 43.61)}[/tex] = 50.17

11                           41.9                                 50.17 + [tex]\alpha {(48 - 50.17)}[/tex] = 49.30

12                           29.7                                 49.30 + [tex]\alpha {(41.9 - 49.30)}[/tex] = 46.34

13                                                                    46.34 + [tex]\alpha {(29.7 - 46.34)}[/tex] = 39.68

∴ we get

The exponential smoothing forecast for period 13 = 39.68

In each bag 1/4 pieces of fruit were raisins. 1/2 were bananas. There were 48 slices of dried banana. The remaining pieces of fruit was raspberries. How many pieces of raisins and dried raspberries were there in each bag

Answers

Half of 48 is 24. So 1/4 of 24 is 12.
You had 12 raisins & 12 raspberries=24
the answer for this problem is 24

Which
pair of triangles can be proven congruent by SAS?

Answers

second one is the only one with two sides and an angle marked so 2

Two triangles that are congruent using SAS.

SAS = Side Angle Side

The two triangles in option B are congruent by SAS.

Option B is the correct answer

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two triangles that are congruent using SAS.

SAS = Side Angle Side

Now,

The two triangles in option B are congruent by SAS.

There are two sides that are equal in each triangle.

There is one angle that is equal in each triangle.

Thus,

The two triangles in option B are congruent by SAS.

Option B is the correct answer

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ5

Please refer to the pictures below

Answers

Answer:

D

8-2

Step-by-step explanation:

System of inequalities are

x + y ≥ 7

8x + 7y ≤ 82

how much money would be $0.10 for every dollar of $400.00 be?​

Answers

Answer:

$40

Step-by-step explanation:

400x0.10=40

Can someone please tell me this equation?

Answers

Answer:

for the number of rubas, it keeps on doubling up while on the square number its only going up by 1 every time.

Step-by-step explanation:

Yesterday, Eddy ran 26.2 miles.

Today, he ran 10% of that.

How far did Eddy run today?

Answers

Answer:

Step-by-step explanation:

10% of 26.2 miles = 0.10×26.2 miles = 2.61 miles

The length of a rectangle is 2 cm less than 4 times its width. If its
perimeter is 36 cm, what is its area?

Answers

Answer:

Step-by-step explanation:

[tex]L=4W-2\\ \\ P=2(L+W)\\ \\ 2(4W-2+W)=36\\ \\ 5W-2=18\\ \\ 5W=20\\ \\ W=4,\ L=14\\ \\ A=4(14)=56cm^2[/tex]

Answer:

L=4W-2

P=2L+2W

36= 2(4W-2)+2W

36= 8W-4 +2W

36= 10W-4

36+4=10W

40=10W

40/10=W

W=4

L=4(4)-2

L=14

AREA =L(W)

AREA = 4X14

AREA =48 cm

Rewrite the polynomial as a product of the monomial and the polynomial. −15a^2bc+20ab^2c−25bc^3

Answers

Answer:

Step-by-step explanation:

15a²bc = 3·5·a²·b·c

20ab²c = 2²·5·a·b²·c

25bc³ = 5²·b·c³

greatest common factor: 5bc

(-15a²bc + 20ab²c - 25bc³)÷(5bc) = -3a² + 4ab - 5c²

-15a²bc + 20ab²c - 25bc³ = (-3a² + 4ab - 5c²)(5bc)

4/40 in its simplest form

Answers

Answer:

1/10

Step-by-step explanation:

(4/40)/ (4/4) = 1/10

Jacob makes a scale drawing for a crate with a scale factor of 1:20. The dimensions of his scale drawing are 3 inches long by 2 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:10. What are the dimensions of the builder's scale drawing? O A. The length is 6 inches and the width is 4 inches. B. The length is 4 inches and the width is 6 inches. O C. The length is 1.5 inches and the width is 1 inch. D. The length is 1 inch and the width is 1.5 inches. SUBMIT​

Answers

Answer: 6 inches long and 4 inches wide

Step-by-step explanation: The dimensions of the actual crate are 20 times those on Jacob's drawing. The dimensions on the builder's drawing are 1/10 of those, so (1/10)(20) = 2 times the dimensions on Jacob's drawing.

hope this helps

plantear y resolver:
un señor compró 15 cajas de libro para venderlos en su negocios. si cada caja trae 35 cajas:
a)¿ cuantos libros compro?
b)¿ cuantos gastó si cada caja costó $258 ?​

Answers

..........................

I don’t understand the question can you write it in English please :))
Other Questions
Describe the movement of each of the following quadratic functions. Describe how eachopens and if there is any horizontal or vertical movement. Be sure to state how manyspaces it moves, for example: This graph opens down, and shifts left 2, up 3. A) y=-3(x-4) +2B) y=2(x+3)? 8C) y==(x-3)D) =(+4)Dy=E) y=-(x+5) +6F) y=7(x-3) +1 Gemma tells her co-worker Sandy that her job is not meaningful and that she does not enjoy what she does, so she has started writing a blog about workplace happiness. In this example, Gemma writing the blog is an example of the cognitive component of an attitude.Group of answer choicesTrueFalse There are 3 feet in a yard. How many centimeters are in a yard? G You observe a red star and a blue star and are able to determine that they are the same size. Which star has a higher surface temperature, and which star is more luminous? a coach brings 12 rackets to practice. the rackets are shared among 15 players. what is the rate of players per racket which of the following is an example of consistency in system design? select one. question 10 options: providing users with a warning when they are deleting information using the same color template for different pages or screens allowing for the reversal of actions making the interface platform independent which man was both a professional baseball player and an influential evangelist during the 1920s? On December 15, 2019, the board of directors of Cross Corporation declared a cash dividend, payable on January 8, 2020, of $0.87 per share on the 2,000,000 common shares outstanding. On December 15, 2019, Cross Corporation should Multiple Choice a) decrease cash $1.74 million and decrease retained earnings $1.74 million. b) decrease retained earnings $1.74 million and increase expenses $1.74 million. c) not prepare a journal entry because the event had no effect on the corporation's financial position until 2020. d) decrease retained earnings $1.74 million and increase liabilities by $1.74 million. Which of the following shows the system with like terms aligned? -4x - 0. 4y = -0. 8 6x 0. 4y = 4. 2 -4x 0. 4y = 0. 8 6x 0. 4y = 4. 2 -4x 0. 4y = -0. 8 6x 0. 4y = 4. 2 -4x 0. 4y = -0. 8 6x - 0. 4y = 4. 2. What is true about the computing devices exchanging data over the Internet?a. If a computing device attempts to send data to another device and it does not follow the rules of the Internet protocol (IP), the device will receive a warning from the Internet Protocol Authority (IPA).b. All the computing devices that are exchanging data over the Internet are following the rules of the Internet Protocol (IP).c. As long as a computing device is sending messages over an Ethernet or fiber optic cable, that data will automatically be following the rules of the Internet Protocol (IP).d. Many computing devices are exchanging data following the rules of the Internet Protocol (IP), but not all devices. The data that isn't sent according to the IP will arrive more slowly. describe the differences in wind speed and direction between easterb and western sides of the cold front 1. The function f defined by f(x) = 15. (1. 07)* models the cost of tuition, in thousandsof dollars, at a local college x years since 2017. a. What is the cost of tuition at the college in 2017?Answer:b. At what annual percentage rate does the tuition grow?Answer:C. Assume that before 2017 the tuition had also been growing at the same rate asafter 2017. What was the tuition in 2000? Show your reasoning. Answer:d. What was the tuition in 2010?Answer:e. What will the tuition be when you graduate from high school?ANSWER: measures of central tendency include all except: a. standard deviation b. median c. mean d. mode because a patient medical record is a legal record of patient care and may be subpoenaed for litigation purposes, you should always __________________. How does Copley's portrait of Paul Revere differ from contemporary British and continental portraits? show that p is closed under homomorphism iff p = np a guitar string 61 cm long vibrates with a standing wave that has three antinodes. Which harmonic is this and what is the wavelength of this wave? give the oxidation state of each metal species. feheatexcess cofe(co)5i2heatfe(co)4i2 oxidation state of fe : Solve the initial value problem y 5y=t3e5t,y(2)=0 . Arrange the following acids in order of decreasing strength:hydrosulfuric acid (Ka = 1.1 x 10-7)boric acid (Ka = 5.8 x 10-10)oxalic acid (Ka = 5.4 x 10-2)benzoic acid (Ka=6.3 x 10-5)[Group of answer choices]1. hydrosulfuric, oxalic, boric, benzoic2. boric, hydrosulfuric, benzoic, oxalic3. benzoic, boric, oxalic, hydrosulfuric4. oxalic, benzoic, hydrosulfuric, boric