The perimeter of a rectangle is 58 inches and the area is 180 square inches. Find the dimensions of the rectangle.

Answers

Answer 1

Answer:

width = 9 inches

length= 20 inches

perimeter of the rectangle=2(9+20)

2w +2L= 2×29

=58 inches

area of the rectangle=L

=9×20=180 inch²


Related Questions

Which expression is equivalent to
3V64k^12

Answers

Answer:

I think the answer is C

Step-by-step explanation:

b) 0.00169
(2 mks)
Lower limit =
Upper limit​

Answers

Answer:

Top bound = 0.001695

Lower bound = 0.001685

Step-by-step explanation:

The number given is 0.00169

Now, this is in 5 decimal places.

So, the lower bound will be;

0.00169 - 0.000005 = 0.001685

Thus is because rounding 0.001685 will give 0.0169

But for the top bound, we will add 0.000005 to the number;

Thus;

0.00169 + 0.000005 = 0.001695

The ratio of the number of Miki's stickers to the number of Ken's
stickers was 8:7. After Miki gave Ken 18 of her stickers, they had
the same number of stickers. How many stickers did they have in all?

Answers

Answer:

Miki had 288 stickers and Ken had 252 stickers.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

Miki has x stickers.

Ken has y stickers.

The ratio of the number of Miki's stickers to the number of Ken's stickers was 8:7.

This means that [tex]\frac{x}{y} = \frac{8}{7}[/tex], that is: [tex]7x = 8y[/tex], or [tex]x = \frac{8y}{7}[/tex]

After Miki gave Ken 18 of her stickers, they had the same number of stickers.

This means that:

[tex]x - 18 = y + 18[/tex]

[tex]x - y = 36[/tex]

Since [tex]x = \frac{8y}{7}[/tex]

[tex]\frac{8y}{7} - y = 36[/tex]

[tex]\frac{8y}{7} - \frac{7y}{7} = 36[/tex]

[tex]\frac{y}{7} = 36[/tex]

[tex]y = 36*7 = 252[/tex]

And

[tex]x - y = 36[/tex]

[tex]x = 36 + y = 36 + 252 = 288[/tex]

Miki had 288 stickers and Ken had 252 stickers.

Males in the Netherlands are the tallest, on average, in the world with an average height of centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of cm and standard deviation of cm.

Required:
a. What is the probability that a Dutch male is shorter than 175 cm?
b. What is the probability that a Dutch male is taller than 195 cm?
c. What is the probability that a Dutch male is between 173 and 193 cm?
d. Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?

Answers

Complete Question

Height of Dutch Men. Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of 183 cm and standard deviation of 10.5 cm.a.What is the probability that a Dutch male is shorter than 175 cm?b.What is the probability that a Dutch male is taller than 195 cm?c.What is the probability that a Dutch male is between 173 and 193 cm?d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?

Answer:

a. 0.2231

b. 0.1266

c. 0.6591

d. 252 people

Step-by-step explanation:

We solve using the z score formula of

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 183 cm

σ is the population standard deviation = 10.5 cm

a.What is the probability that a Dutch male is shorter than 175 cm?

This is interpreted as when x < 175 cm

Hence:

z = 175 - 183/10.5

z = -0.7619

Probability value from Z-Table:

P(x<175) = 0.22306

Approximately ≈ 0.2231

b.What is the probability that a Dutch male is taller than 195 cm?

This is interpreted as when x > 195 cm

Hence:

z = 195 - 183/10.5

z = 1.14286

Probability value from Z-Table:

P(x<195) = 0.87345

P(x>195) = 1 - P(x<195) = 0.12655

Approximately ≈ 0.1266

c.What is the probability that a Dutch male is between 173 and 193 cm?

For x = 173

z = 173 - 183/10.5

z = -0.95238

Probability value from Z-Table:

P(x = 173) = 0.17045

For x = 193

Hence:

z = 193 - 183/10.5

z = 0.95238

Probability value from Z-Table:

P(x= 193) = 0.82955

Hence, the probability that a Dutch male is between 173 and 193 cm

P(x = 193) - P(x = 173)

0.82955 - 0.17045

= 0.6591

d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?

This is interpreted as when x > 190 cm

Hence,

z = 190 - 183/10.5

= 0.66667

Probability value from Z-Table:

P(x<190) = 0.74751

P(x>190) = 1 - P(x<190)

= 0.25249

Therefore, the number of people we would expect to be taller than 190 cm is

Random number of samples × Probability

= 1000 × 0.25249

= 252.49 people

Approximately≈ 252 people

Cory is building an enclosure with recycled cardboard for her collection of model cars. Her design is as shown below: What is the length of side EF in inches?
a 45
b 25
c 15
d 30

Answers

Answer:

25

Step-by-step explanation:

The length of side EF in Cory's project is 25 inches. Thus, the correct answer is option b.

To determine the length of side EF in Cory's project, we can use the concept of proportionality between corresponding lengths in Cory's design and project.

We are given that the length ML in Cory's design corresponds to the length DC in Cory's project, and ML is 8 inches while DC is 40 inches. Using this information, we can set up the proportion:

ML / DC = NH / EF

Plugging in the known values, we have:

8 / 40 = 5 / EF

To solve for EF, we can cross-multiply:

8 * EF = 40 * 5

8EF = 200

Dividing both sides by 8:

EF = 200 / 8

EF = 25

Therefore, the length of side EF in Cory's project is 25 inches.

Thus, the correct answer is option b: 25 inches.

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PLSSSS ASAPPP!!!!!!!!!!
Find the length of the missing side in the right triangle shown below.

A)169
B)7,056
C)None of these answers are correct
D)7,225
E)13

Answers

Answer:

D. my answer for your question

Solve each question (a, b, c) and show your work. Thank you <3

Answers

Answer:

a) 112 ft.

b) 256 ft. and 3 seconds

c) 7 seconds

Step-by-step explanation:

a) The model rocket is lauched from a platform. To find the height of the platform, we need to find h when t = 0, because the rocket starts from the platform when no time has elapsed:

[tex]h=-16t^2+96t+112[/tex]

[tex]h=-16*0+96+0+112\\\\h=112[/tex]

Therefore, the height of the platform is [tex]\fbox{112}[/tex] ft.

b) If you learned calculus before, we can find the maximum height easily. We take the derivative of h and set it equal to 0. Remember, the derivative of a function is simply the slope of it at an instantaneous point. At the maximum point of a function, it's slope equals to 0.

[tex]h=-16t^2+96t+112\\h'=-32t+96+0\\h'=-32t+96[/tex]

Ok! Let's set the derivative of h to 0!

[tex]0=-32t+96\\-96=-32t\\t=3[/tex]

We now know how long it takes for the rocket to reach maximum point (t represents seconds), but we also need to find the maximum height. We can simply plug our t=3 into the function of h, because t=3 is the point where the rocket reaches maximum height:

[tex]h(3)=-16(3)^2+96*3+112\\h(3)=-144+288+112\\h(3)=256[/tex]

The maximum height of the rocket is [tex]\fbox{256}[/tex] ft and the rocket takes [tex]\fbox{3}[/tex] seconds to reach the height.

c) The rocket reaches the ground when h equals 0. We can set up the equation to solve for it:

[tex]h=-16t^2+96t+112\\0=-16t^2+96t+112\\0=-16(t+1)(t-7)\\0=(t+1)(t-7)\\t=-1, t=7[/tex]

However, time can never be negative.

Therefore, it takes the rocket [tex]\fbox{7}[/tex] seconds to reach the ground.

I hope this helps! Let me know if you have any questions :)

10. Which expression represents the cost of x pencils at $0.08 each and y notebooks at $1.70
each?
a. $1.78xy
b. $1.78(x + y)
c. $0.08x + $1.70 y
d. x + y +$1.78
e. $0.08 y + $1.70x

Answers

Answer:

C

Step-by-step explanation:

A, B, and D are all incorrect. The thing is you have to keep the pencils and notebooks separate. Then you add the totals of each. Anything that combines either the cost of one pencil and 1 notebook (such as B 1.78 (x + y)  is incorrect.

D is kind of a special case, but it is not correct. The price of one notebook and 1 pencil is $1.78.  But then you add 1 pencil and 1 notebook and you get some sort of odd term.

E is wrong. It would be right is y and x were interchanged so the x would go with 0.08

That leaves C which is the correct way to write it.

Solve the inequality –8 < x – 14.

Answers

Answer:

x=6

Step-by-step explanation:

Answer:

Interval Notation:

(6,∞)

Inequality Form:

x>6

there ya go

2x+5x=? hihihihihiihihihihihihihihihi

Answers

Answer:

7x

Step-by-step explanation:

its simple you just add them

YO LISTEN UP I GIVE SOMEONE 50 POINTS IF THEY ANSWER THIS QUESTION. answer it correctly

Emma and Zeke own an on-line business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.



1) Write an equation describing the relationship between:

a) The number of plain coasters bought and the cost of the coasters.


b) The number of coasters with a logo bought and the price of the coasters.


c) Is either coaster relationship proportional? Explain in writing how you know.


d) Explain what the unit rate of the line described by each equation means in the context of the coasters.


2) EZ Sales also sells plain natural sandstone coasters for $4.00 each.

a) Write the equation describing this relationship.

b) Indicate whether or not it is a proportional relationship and explain why?

c) Will the graph of this equation ever intersect the graph of the equations for either of the other two EZ Coasters? Explain in typing how you made your decision.

Answers

Answer:

.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

A ship is traveling at 18 miles per hour from Corsica to Barcelona, a distance of 350 miles. To avoid harsh weather, the ship leaves Corsica on a route 22°south of the direct route. After 7 hours, the harsh weather has been bypassed. Through what angle should the ship now turn to head directly to Barcelona?

Answers

9514 1404 393

Answer:

  about 33.4°

Step-by-step explanation:

There are many ways to work this problem. A solution using a geometry program is shown in the attachment. The ship must turn about 33.4° to the north.

__

Another way to work this is to redraw the diagram so the initial starting point is left of the origin on the x-axis. Then the ship's direction can be considered to be straight to the right along the x-axis. The origin is the ship's turning point. The ship's destination can be considered to be 350∠22° from the initial position of the ship. The location of that destination relative to the origin represents the turn the ship must make.

At 18 mph for 7 h, the ship has traveled 126 miles.

Using the above method, the ship's destination relative to the origin is ...

  (-126, 0) +(350)(cos(22°), sin(22°)) = (198.514, 131.112)

Then the angle the ship must turn is ...

  arctan(131.112/198.514) ≈ 33.44°

The ship must turn about 33.4° to the north to head directly to Barcelona.

I'll give brainliest if you answer 11 and 12

Answers

Answer:

tanx=30/27

tanx=10/9

x=48

1. Cheryl Douglas works 43 hours in a week for an exempt salary of $1,827 per week. What are Cheryl's gross weekly earnings?​

Answers

Answer:

$1827

Step-by-step explanation:

Since Cheryl is said to be paid an exempt salary. Then it can be said that Cheyk does not qualify for minimum wage or overtime pay, Hence, exempt payment is in terms or salary rather than wage. Similarly. Gross earning refers the amount a worker receives as income over a certain period of time. The gross income has not been subjected to tax charges or any form of deduction. Hence, it could be said to be the outright earning paid to an employee before any deduction is made.

Hence, Cheryl's gross weekly earning is $1827 per week.

pls help asap!!

For the following geometric sequence, find the recursive formula.

(-80,20,-5...)

Answers

Answer:

For the geometric sequence, it has two forms of formula

We are interested in the recursive formula now

{-80, 20, -5, ...}

The common ratio is (20/-80)=(-5/20)=-1/4=-0.25

So our recursive formula would bea_n=a_{n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )an=an−1∗(−0.25)=an−1∗(−41)

Step-by-step explanation:

For the geometric sequence, it has two forms of formula

{-80, 20, -5, ...}

The common ratio is (20/-80)=(-5/20)=-1/4=-0.25

So our recursive formula would be a n=a {n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )an=an−1∗(−0.25)=an−1∗(−41)

What is the equation of a circle with center (1,-4) and radius 2?
O
A. (x-1)2 + (y + 4) = 4
B. (x-1) - (y + 4)2 - 4
O C. (x+1)2 + (y - 4)2 - 4
D. (x - 1)2 + (y + 4)2 - 2

Answers

A is the correct answer to your question

Complete the expressions.
Write each answer as a number, a variable, or the product of a number and a variable.
=7r6
=
7r
Commutative property of multiplication
=
Multiply

Answers

Complete question :

Complete the expressions Write each answer as a number, a variable, or the product of a number and a variable 7(9r + 2) = 7 . 9r + 7 . ___ = ___ +

Answer:

2 ; 63r ; 14

Step-by-step explanation:

Given :

7(9r + 2)

Opening the bracket :

7*9r + 7*2 - - - - (1)

Taking the product

63r + 14 - - - - (2)

Now filling the blanks :

First blank corresponds to 2 (from (1))

Second blank corresponds to 63r (from (2))

Third blank should be 14

Find the value of x and show work

Answers

Answer:

20

Step-by-step explanation:

Using the information in the Box-and-Whisker plot below, what is the minimum value?


A. 5
B. 12.5
C. 20
D. 27.5

Answers

Answer:

espero ayudarte ..............❤❤

Answer:

b

Step-by-step explanation:

the area of a square is 196m2. What is the length of one side​

Answers

Answer:

14

Step-by-step explanation:

Simply take the square root of 196.

Hope that this helps!

Answer:

The side length is 14 m

Step-by-step explanation:

The formula for the area of a square is A = s^2, where s represents the length of one side.

If A = s^2  =  196m^2, we find the side length by taking the square root of both sides:  

s = √(196 m^2) = 14 m

The side length is 14 m

If the rvalue, or correlation coefficient, of a data set is negative, the
coefficient of determination is negative.

Answers

The given statement is false. Because If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is positive.

What exactly does a negative correlation coefficient mean?

Two variables with a negative correlation tend to move in opposing directions.

While a correlation value of -0.3 or below shows a very weak association, one of -0.8 or lower suggests a significant negative relationship.

The complete question is;

"The given statement is true or false

If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is negative."

Because If a data set's r-value, or correlation coefficient, is negative, the coefficient of determination is positive.

Hence, the given assertion is incorrect.

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Which statement best describes the areas and perimeters of the figures?

Answers

Answer:

The last one!

Step-by-step explanation:

most likely the last option

Which of the suggestions do NOT rely on the support of a parent or guardian?

Answers

what are the suggestions?

Answer:

what are the options

Step-by-step explanation:

solve the inequality |x + 4| < |2x|

Answers

Answer:

Below in bold.

Step-by-step explanation:

One way to do these is to square both sides:

(x + 4)^2 < 4x^2

x^2 + 8x + 16 < 4x^2

3x^2 - 8x - 16 > 0

Let this = 0:

3x^2 - 8x - 16 = 0

(3x + 4)(x - 4) = 0

x = -4/3, 4.

So the critical  points are -4/3 and 4.

Make a table:

                      x < - 4/3           -4/3 +< x  <= 4            x > 4

3x + 4                  <0                        > 0                        > 0

x - 4                     <0                        < 0                       > 0

(3x+4)(x-4)           >0                        <0                         > 0

So the solution is   x < -4/3 or x > 4

or in  interval notation:

(-∞, -4/3) U (4, ∞)

Answer:

See image below for answer:)

Step-by-step explanation:

FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

please help me with the steps thx
find the area

Answers

Answer:

D) [tex]222[/tex] [tex]km^2[/tex]

Step-by-step explanation:

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

Let's find the surface area of the rectangular prism.

Multiply 7 times 9 for the front side and 7 times 9 again for the back side.

[tex]7*9=63[/tex]

[tex]7*9=63[/tex]

---------->>>>

Multiply 7 times 3 for the left side and 7 times 3 again for the right side.

[tex]7*3=21[/tex]

[tex]7*3=21[/tex]

---------->>>>

Multiply 3 times 9 for the top side and again for the bottom side.

[tex]3*9=27[/tex]

[tex]3*9=27[/tex]

---------->>>>

Now, let's add all these sums.

[tex]63+63+21+21+27+27=[/tex]

[tex]126+42+54=[/tex]

[tex]168+54=[/tex]

[tex]=222[/tex]

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

Hope this is helpful.

Perform the indicated operation.
(7 - 11) + (-3+51

Answers

Step-by-step explanation:

(7-11)+(-3+51)

(-4)+(48)

44 ans

Answer:

44

Step-by-step explanation:

7-11= -4

-3+51=48

-4+48=44

the probabilities that Kojo and Adwoa will pass an examination are 3/4 and 3/5 respectively. Find the probability that both will fail the examination​

Answers

Assuming that their exam success is independent then
P(both fail) = 1/4 x 2/5 = 2/20 or 1/10

pls help i’ll mark brainliest if your right

Answers

Answer:

628 Cubic Yards

Step-by-step explanation:

Find the volume of the frog queen building in Graz, Austria. The building is 18 meters long, 17 meters tall, and 18 meters wide

Answers

Answer: 5,508 m3

Step-by-step explanation:  V= 18 x 17 x 18 = 5,508 m3

Answer:5, 508

Step-by-step explanation:

V 18×18×17=5,508

El grado absoluto del monomio -7ab^2c^3 es menor que 4

Answers

I don’t understand ?? Sorry
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