1) A rectangle has the lengths shown
Find the perimeter of the rectangle.




1) A Rectangle Has The Lengths Shown Find The Perimeter Of The Rectangle.

Answers

Answer 1

Hi there! :)

[tex]\large\boxed{P = 32cm}[/tex]

Find the perimeter by solving for y.

We know that a rectangle contains two pairs of parallel and congruent sides, therefore:

5y - 1 = 2y + 8

We can solve for y using this expression. Begin by subtracting 2y from both sides:

5y - 2y - 1 = 2y - 2y + 8

3y - 1 = 8

Add 1 to both sides:

3y - 1 + 1 = 8 + 1

3y = 9

Divide both sides by 3:

y = 3

Recall that the perimeter of a rectangle is:

P = 2l + 2w

Plug in the given expressions for the side lengths to find one equation:

P = 2(5y - 1) + 2(y - 1)

Simplify by distribution:

P = 10y - 2 + 2y - 2

Combine like terms:

P = 12y - 4

Plug in the solved value of y into this equation:

P = 12(3) - 4

P = 36 - 4

P = 32 cm.


Related Questions

Create a function that has two distinct roots: - 3/4 and -1?

Answers

Step-by-step explanation:

Sorry I cant get any more answers but I really hope that this helps

Answer:

(x+3/4)(x+1)

Step-by-step explanation:

you can learn this in algebra 2

plz brainliest!

The Chandlers are moving across the country. Mr. Chandler leaves 4 hours before Mrs. Chandler. If he averages 70mph and she averages 80mph, how many hours will it take Mrs. Chandler to catch up to Mr. Chandler?

Answers

Answer:

It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.

Step-by-step explanation:

Given that:

Speed of Mr. Chandler = 70 mph

Distance covered in 4 hours = 70 * 4 = 280 miles

Let,

h be the number of hours.

y be the total distance covered.

y = 70h + 280

Speed of Mrs. Chandler = 80 mph

y = 80h

For catching up, the distance would be same.

80h = 70h + 280

80h - 70h = 280

10h = 280

Dividing both sides by 10

[tex]\frac{10h}{10}=\frac{280}{10}\\h=28[/tex]

Hence,

It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.

An initial population of 800 endangered birds doubles each year. How many birds will there be in 18 months

Answers

14,400 because 800 times 18 is 14,400

When would you use a negative number to describe a real world amount? Give an example

Answers

When owe the bank some money or some friends so it could be -1.7h+19.7=187

Please help quickly!!!

Find the value of x. Write your answer in simplest form.

Answers

Answer:

[tex] {x}^{2} + {x}^{2} = {(8 \sqrt{2}) }^{2} \\ 2 {x}^{2} = 128 \\ {x}^{2} = 64 \\ \boxed{x = 8}[/tex]

8 is the right answer.

please help me asap!!!!

Answers

Answer:

[tex]\displaystyle 31[/tex]

Step-by-step explanation:

Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:

[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]

I am joyous to assist you at any time.

С
a
Find all the missing elements:
B
A = 40°
a = 8
А
b = 7
b
B = [?]° C = [ ]° c = [ ]
Round to the nearest tenth.
C С

Answers

Answer:

B=34.2

C=105.8

c=12.0

Step-by-step explanation:

find B using the sine rule

(sin40÷8)=(sinB÷7)

rearrange

sin B= (sin40x7)÷8

sin B=0.562

make sure to use your calculator

then press shift sin to find B

B= 34.2°

to the nearest tenth means to 1 decimal place

sum of angles in a triangle is 180

so 180-(40+34.2)=105.8°=C

use sine rule again to find c

(sin105.8÷c)=(sin40÷8)

rearrange

c= (sin 105.8x8)÷sin40

c=12.0

What is the meaning of having 150% of a pizza? Draw a diagram to represent this.

Answers

Step-by-step explanation:

it means having more than 1 and half piece of pizza

Ms. Owens has some pencils . She give 5 of them away. Now she has 13 pencils left. How many pencils did she start with?

I need a Equation with unknown

Answers

Answer:

18 pencils

Step-by-step explanation:

she had 18 minus 5= 13 hope this helps

Please Help! A car traveling at 15 m/s starts to decelerate steadily. It comes to a complete stop in 10 seconds. What is it's acceleration?

Answers

Answer:

initial velocity = 15 m/s

final velicity = 0 m/s

time required = 10sec

Formula is V = U + at

0 = 15 + a 10

-15 ÷ 10 = acc

acc = - 1.5 m/s^2

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What is the inequality represented by this graph? (pls help its worth 30 points and ill give brainliest if ur correct :D)

Answers

Step-by-step explanation:

We find the equation of the solid blue line:

The line decreases by 1 unit for every 3 units across.

=> Slope of line = -1/3.

Also the y-intercept is 1.

=> Line equation: y = -1/3 x + 1.

We see that the graph below this line is shaded.

Therefore all y-values below or on the line are represented by the graph.

=> y <= -1/3 x + 1.

The answer is y <= -1/3 x + 1.

what is the repricocal of 2/3
A. -3/2
B. -2/3
C. 1/3
D. 3/2​

Answers

The answer is -3/2 .....
the reciprocal of 2/3 would be 3/2 or D, you just flip the denominator and numerator

what is 32% of 655????

Answers

Answer:

209.6

Step-by-step explanation:

Answer:

209.6

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ANSWER QUICKLY

what are 2 things you are allowed to assume for proofs if the picture show for congruency

Answers

Answer: 1. Perpendicular 2. Bisector 2. Perpendicular Bisector Theorem 3.

Step-by-step explanation:

Please help me with my homework!

A golfer played in a tournament. His scores are shown in the table.

Use the data set to select all true statements.

A. The sum of scores of all 4 days is +1.

B. The difference between scores from day 2 and day 4 is +4.

C. The difference between scores for day 1 and day 2 has an absolute value of 4.

D. The scores on day 1 and day 4 are additive inverses.

Answers

Answer:

A, C, and D

Step-by-step explanation:

A. Adding up all the numbers gives you a sum of +1 so this is correct.

B. Day 2 has a score of +3 and Day 4 has a score of +1. The difference between those two is +2, not +4 so this is incorrect.

C. Day 1 has a score of -1 and Day 2 has a score of +3. The difference between those two is +4. The absolute value of +4 is +4 so this is correct.

D. Day 1 has a score of -1 and Day 4 has a score of +1. An additive inverse is a value with an opposite sign. One is positive and the other is negative so this is correct.

Jake’s rental car service uses the equation y = 0.45x + 39.50 to calculate the total cost, y, where x is the number of miles driven. Angie’s rental car service uses this table to calculate the cost of a car rental.

Answers

Answer:

Step-by-step explanation:

A point is randomly chosen on the following. Find the probability that a point chosen at random will NOT be in the triangle.
(Round to the nearest hundredth)

Answers

Add all the numbers together which equals 44 and 44 to the nearest hundred is 6.633

In a recent survey in a Statistics class, it was determined that only 60% of the students attend class on Fridays. From past data it was noted that 98% of those who went to class on Fridays pass the course, while only 20% of those who did not go to class on Fridays passed the course.
a. What percentage of students is expected to pass the course?
b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

Answers

Answer:

a. 66.8%

b. 0.855

Step-by-step explanation:

In a recent survey in a Statistics class,

Percentage of students that attended class on Friday = 60%

Percentage of students that did not attend class on Friday = 100 - 60% = 40%

Percentage of those who went to class on Fridays and passed the course = 98%

Percentage of those who did not go to class on Fridays and passed the course = 20%

a. What percentage of students is expected to pass the course?

This is calculated as:

= 60% × 98% + 40% × 20%

= 0.668

Converting to percentage

= 0.668 × 100

= 66.8%

b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

We solve using Baye's Theorem

= [60 × 98%]/[60% × 98% + 40% × 20%]

= 0.588 /0.688

= 0.8546511628

Approximately = 0.855

Part(a): The required pass percentage is 66.8%

Part(b) The required probability is [tex]P(Friday/Pass)=0.8802[/tex]

Given that,

P(Friday) = 0.60, P(No Friday) = 0.40

[tex]P(Pass/Friday)=0.98\\P(Pass/No Friday)=0.98\\[/tex]

Part(a): The percentage of students expected to pass the course is 0.668.

[tex]P(Pass)=P(Friday)\times P(Pass/Friday)+P(No friday)\times P(Pass/No Friday)\\=0.60\times 0.98+0.40\times 0.20\\=0.588+0.08\\P(Pass)=0.668[/tex]

Part(b):

The probability that he/she attended classes on Fridays is 0.8802

[tex]P(Friday/Pass)=\frac{P(friday)\times P(Pass/Friday)}{P(Friday\times P(pass/Friday+P(No friday)\times P(pass/No friday)}\\=\frac{0.60\times 0.98}{0.60\times 0.98+0.40\times 0.20} \\=0.8802[/tex]

Learn More:https://brainly.com/question/23485751

The diagram shows a track composed with a semicircle on each end. The area of the rectangle is 8,400 square meters. What is the perimeter of the th rack? Use 3.14 for pi

Answers

Answer:

468.4 meters

Step-by-step explanation:

Find the width of the rectangle.

The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.

A=length*width

8,400=140*width

60= width

Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a​ circle, the perimeter of the two semicircles is equal to the circumference of one circle.

The circumference of a circle is equal to pi​d, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.

​So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.

≈188.4

(2 times 140)+ 188.4

​So, the perimeter of the track is 468.4 meters.

(x - 3)2 + (y + 7)2 = 121 what's the center of the circle

Answers

Answer:

centre = (3, - 7 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

(x - 3)² + (y + 7)² = 121 ← is in standard form

with centre = (h, k ) = (3, - 7 )

Round these numbers to the nearest tenths place (1 decimal place)

5) 41.35

Answers

Answer:

41.4 im pretty sure

Step-by-step explanation:

N > 0 in number line

Answers

Answer:

The number 0 is not included; thus the number line indicates an open circle on 0, meaning 0 is not include in the solution.

Please check the attached graph.

Step-by-step explanation:

Given the inequality expression

N > 0

It is clear that the value of N is greater than 0, it means the solution contains all the positive real numbers greater than zero.

In other words:

[tex]N>0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:N>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]

The number line containing the solution N > 0 is shown and attached below.

From the number line, it is clear that the number line would include all the numbers on the right-hand side of the 0 number.

The number 0 is not included; thus the number line indicates an open circle on 0, meaning 0 is not include in the solution.

Please check the attached graph.

What is m<1 and m<3 someone help me please

Answers

Answer:

m < 1 = 52

m < 3 = 52

Step-by-step explanation:

m < 8 = 128 therefore m < 4 = 128

1.) we know that m < 4 + m < 1 must equal 180

128 + m < 1 = 180

180 - 128 = m < 1

52 = m < 1

due to the position of m < 1 and m < 3, they are the exact same

solve for x, −2 (4x+4) −3x − 2 = 34 help needed, thanks!

Answers

Hey there!

The answer to your question is [tex]-2 \frac{3}{11}[/tex]

[tex]-2(4x+4) - 3x -2= 34[/tex]       Write the equation

[tex]-8x - 8 - 3x - 2 = 34[/tex]           Distribute -2

[tex]-11x-10 = 34[/tex]                      Combine like terms

[tex]-11x = 24[/tex]                              Add 10 to both sides

[tex]-2 \frac{3}{11}[/tex]                                         Divide both sides by -11

Hope it helps and have a great day!

Which is an equation of the line through the origin and (-4,-9)?

Answers

ExplanationCalculate the slope by using the rise over run with two given coordinate points.

Note: Origin point = (0,0).

[tex] \begin{cases}(x_1, y_1) = ( - 4, - 9) \\ (x_2, y_2) = ( 0, 0) \end{cases}[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\ m = \frac{0 - ( - 9)}{0 - ( - 4)} \\ m = \frac{0 + 9}{0 + 4} \Longrightarrow \frac{9}{4} [/tex]

Slope-Intercept

[tex]y = mx + b \\ \begin{cases} \sf{m = slope} \\ \sf{b = y - intercept} \end{cases}[/tex]

Rewrite the equation by substituting m = 9/4 in the equation.

[tex]y = \frac{9}{4} x + b[/tex]

Find the value of b.

Because the graph passes through the origin point. That means the y-intercept is (0,0).

Therefore we rewrite the equation again to

[tex]y = \frac{9}{4} x + 0 \\ y = \frac{9}{4} x[/tex]

Answer

[tex] \large \boxed{y = \frac{9}{4} x}[/tex]

helpppp PLZZZZZZZZZ
thx will appreciate that

Answers

Answer:

I think you multiply its height by its width for the area, the volume= LXWXH.

Step-by-step explanation:

Step-by-step explanation:

First , Split the given shape into two parts : Trapezium and rectangle :

Here , 18 m and 11 m are the opposite parallel side and (15-8) = 7m is the height of the trapezium.

[tex] \boxed{ \sf{Area \: of \: trapezium = \frac{1}{2} h(a + b)}}[/tex]

⤑ [tex] \tt{ \frac{1}{2} \times 7(18 + 11})[/tex]

⤑ [tex] \sf{ \frac{1}{2} \times 7 \times 29}[/tex]

⤑ [tex] \sf{101.5 \: {m}}^{2} [/tex]

Area of trapezium = 101.5 m²

In rectangle , 18 m is the length and 8 m is the width.

[tex] \boxed{ \sf{Area \: of \: a \: rectangle = l \times w}}[/tex]

⤑ [tex] \sf{18 \: m \: \times 8 \: m}[/tex]

⤑ [tex] \sf{144 \: {m}}^{2} [/tex]

Area of a rectangle = 144 m

Now , Finding total area of given shape :

[tex] \boxed{ \sf{Total \: area = Area \: of \: trapezium + area \: of \: a \: rectangle}}[/tex]

⤑ [tex] \sf{101.5 \: {m}^{2} + 144 \: {m}}^{2} [/tex]

⤑ [tex] \sf{245.5 {m}}^{2} [/tex]

[tex] \red{ \boxed{ \boxed{ \tt{⇾ \: Our \: final \: answer : \boxed{ \underline{ \tt{245.5 \: {m}^{2} }}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answers

Answer:

48 cm by 27 cm

Step-by-step explanation:

(16/9)*3=48/27

How are the hypotenuse and legs of a right triangle related?

Answers

Answer:

The sum of the legs is equal to the hypotenuse.

Step-by-step explanation:

I hope that this helps u..

Answer:

The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse (side c in the figure). The sides and the adjacent to the right angle are called legs (or catheti, singular: cathetus).

Accrual income versus cash flow for a period. Thomas Book Sales, Inc., supplies textbooks to college and university bookstores. The books are shipped with a proviso that they must be paid for within 30 days but can be returned for a full refund credit within 90 days. In 2018, Thomas shipped and billed book titles totaling $720,000. Collections, net of return credits, during the year totaled $651,637. The company spent $285,058 acquiring the books that it shipped. a. Using accrual accounting and the preceding values, show the firm's net profit for the past year. b. Using cash accounting and the preceding values, show the firm's net cash flow for the past year. C. Which of these statements is more useful to the financial manager? Why? a. Using accrual accounting and the preceding values, show the firm's net profit for the past year in the following table. (Round to the nearest dollar.) Accounting View (accrual basis) Thomas Book Sales, Inc. Income Statement for the Year Ended 12/31 Sales revenue Less: Costs Net profit ai at b. Usina cash accounting and the precedina values. show the firm's net cash flow for the past vear in the followina table. (Round to the nearest dollar.) ce Click to select your answer(s). Tools > ere to search

Answers

This is Q.a

I hope this helps

please help asap!! giving brainliest

Answers

Answer:

f g e is the answer

Step-by-step explanation:

Answer:

All you have to do is subtract by the corresponding attributes and answer each accumulation

Step-by-step explanation:

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