A rectangle is to be drawn with perimeter 64cm. If the length is to be 14cm more than the width, determine the are of the rectangle.

Please use system of linear equations by elimination OR substitution. I need the work as well please.

Answers

Answer 1

P = 64 cm

2(( x + 14) + x) = 64

2x + 28 + 2x = 64

4x + 28 = 64

4x = 64 - 28

4x = 36

x = 36/4

x = 4

width = 4

lenight = 18

area = l x b

area = 18 x 4

area = 72


Related Questions

Which pair of angles has congruent values for the sin x° and the cos y°?
35°; 55°
35°; 70°
35°; 145°
35°; 35°

Answers

Answer: the correct answer is A. 35, 55

Step-by-step explanation: got it right on my exam today

35 degrees and 55 degrees are the pairs of angle have congruent value for sinx and cosx.

What is congruent angle?

Congruent angles are the angles that have equal measures.

According to the given  question

We have different angles for [tex]sinx[/tex] and  [tex]cosy[/tex].

And we have to find "the pairs of angles which has congruent values for sinx and cosy.

Therefore,

35 degree and 55 degree

sin(35) = [tex]sin(\frac{7\pi }{36})[/tex] =0.57

cos(35) = [tex]cos(\frac{11\pi }{36})[/tex] = 0.57

⇒ 35 degrees and 55 degrees are the pair of angles has congruent values for sinx and cosy.

35 degrees and 70 degrees

sin(35) =[tex]sin(\frac{7\pi }{36} ) =0.57[/tex]

cos(70) =[tex]cos(\frac{7\pi }{18} )[/tex] = 0.34

⇒35 degrees and 70 degrees are the pair of angles have not congruent values for sinx and cosy.

35 degrees and 145 degrees.

sin(35)=[tex]sin(\frac{7\pi }{36} )= 0.57[/tex]

cos(145) = [tex]cos(\frac{29\pi }{36} )= -0.8[/tex]

⇒ 35 degrees and 145 degrees are the pair of angles have not congruent values for the sinx and cox.

35 degrees and 55 degrees

sin(35) =[tex]sin(\frac{7\pi }{36} )[/tex]= 0.57

cos(35) = [tex]\frac{x}{y} =\frac{7\pi }{36} = 0.8[/tex]

⇒ 35 degrees and 55 degrees are the pairs of angles have not congruent values for sinx and cosx.

Hence, 35 degrees and 55 degrees are the pairs of angle have congruent value for sinx and cosx.

Learn more about congruent angles here:

https://brainly.com/question/24887947

#SPJ2

Ms Hart had 40 dollars to spend on costume boxes for the musical. If she bought 12 boxes and received 4 dollars in change, how much was each box?

Answers

Answer:each box cost =$3

Step-by-step explanation:

Amount of money Ms Hart has to spent on costume boxes=$40

Amount gotten as change after purchase=$4

Amount actually used up buying costume boxes =$40-$4=36

Since she bought 12 boxes , each box cost =$36/ 12=$3

Help please no links!!! Please and thank u

Answers

It’s not letting me answer it but here it is

Marshall is comparing different companies that rent sound systems The total cost, y , for each company includes a used rental fee plus an additional fee based on the number of hours, x , the sound system is rented. Which company had the lowest additional fee per hour for renting a sound system?

Answers

Answer:

Company B

Step-by-step explanation:

Given

See attachment for graph

Required

Company with the least additional fee

This means the y-intercept and it represents the flat fee

To get the y-intercept, we simply write out the point where [tex]x= 0[/tex]

From the graph of A, we have:

[tex](x,y) = (0,70)[/tex]

Additional Charges = 70

From the table of B, we have:

[tex](x,y) = (0,50)[/tex]

Additional Charges = 50

From the equation of C, we have:

[tex]y=10x+ 90[/tex]

[tex]y(0) = 10 * 0 + 90[/tex]

[tex]y(0) =0 + 90[/tex]

[tex]y(0) =90[/tex]

Additional Charges = 90

By comparison. company B has the least additional fee because: [tex]50 < 70 < 90[/tex]

What is the sum of the interior angles in this shape?

Answers

Answer:

720° :)

Step-by-step explanation:

You can find the total interior angle for any shape using the following (n being the number of sides):

S = ( n - 2 ) × 180 °

S = (6-2) * 180

S = 720

I believe 720 because every triangle is 180 so your can be made up of 4 triangles, so multiply 180 times 4

Convert the rational number below to a decimal. Round to the nearest hundredth when
necessary
7/9
Please I’ll mark Brainliest

Answers

Answer:

0.63 is your answer.

Step-by-step explanation:

7/9

= 0.63

Express $90 as a decimal​

Answers

i think the answer to your question is 90.0

PLEASE HELP ME WITH THIS BOTH A.S.A.P I WELL GIVE 20 POINTS AND A BRAINLIST FOR THE BEST EXPLANATION

Answers

Answer: yes they are

Step-by-step explanation: the way you know is because the angles on each shape are the same and the lines on the shapes are the same length. If one shape is bigger than another or if one has a different shape than the other, they are not congruent. I hope that helped you!

ill give brainliest to the correct answer

Answers

Answer:

7 x 4 = 28

28 x 1/2(dividing by 2) = 14, 14 x 2(two triangles) = 28

4 x 5 = 20(area of square in the middle)

5 x 8 = 40(area of square on one side), 40 x 2 = 80(area of squares on both sides)

Now lets add the given areas:

28 + 20 + 80 = 128 square is your answer.

Write the equation for a sine function with an amplitude of 6 and a period of n/4

Answers

Answer:

Y=Asin[B(x-c)] + D

B=2π/T

=2π/(n/4)

=8π/n

Y=6sin(8πx/n)

40. When you translate, (x, y+6) will move
a) 6 units right
c) 6 units up
C
b) 6 units left
O'd) 6 units down

Answers

Answer:

A 6 units up

Translation rule

Y rule

+= up

-= down

X rule

+= right

-=left

Reflection rule

Reflection over x axis

Y that was once a positive number, is flipped to a negative

example

6,2 reflected over the x axis.

2=-2

Y axis rule example

-2,7 reflected over the y axis

-2=2

Step-by-step explanation:

If it ever says (example,example) like flipped over the x, it will change the y.

Same for a flip over the y, it will change the x

What is the messument of this angle?

Answers

Answer:

30º

Step-by-step explanation:

What is the definition of mean?

Answers

Answer:

D. It is the sum of the data divided by the number of pieces of data

Step-by-step explanation:

It's also known as the average of the numbers in a data set.

What is the definition of mean?

[tex]{\boxed{\mathcal{\red{Answer.}}}}[/tex]

[tex]D.\:It \: is \: the \: sum \: of \: the \: data \: divided \: by \: the \: number \: of \: pieces \: of \: data.[/tex]

The mean is the average of the numbers.To find the mean, we add up all the numbers, then divide by how many numbers there are.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

ILL GIVE YOU BRAINLIEST!!

Answers

Answer:

10[tex]\pi[/tex]

Step-by-step explanation:

Length of arc = [tex]\frac{theta }{360} * 2\pi r[/tex]

= [tex]\frac{150}{360} * 2 \pi * 12\\[/tex]

= [tex]10\pi[/tex]

Solve the proportion.

X/8=4/5


Can someone help me with this ASAP please I’m being timed

Answers

Answer:

x=32/5

Step-by-step explanation:

x/8=4/5

x=(4/5)×8

x=32/5

x/8 = 4/5

Times 8 both sides

x = 32/5

x = 6 2/5

A rectangular prism is 12 cm long, 6 cm wide and 5 cm high. What is the volume of the rectangular prism?

Answers

Answer:

360cm

Step-by-step explanation:

Volume=mass

volume

A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome. Complete the probability distribution table on your own paper. Answer the question in the text box below. / What is the probability of drawing exactly one blue marble? Write a simplified fraction.

Answers

Answer:

The probability of drawing exactly one blue marble is 15 over 32

Step-by-step explanation:

did test

Tom can paint a fence in 6 hours. Huck can paint a fence in 5 hours. If Tom takes a 30 minute break, how long will it take them to paint the fence together?

Answers

Answer:

4 1/11 hours

Step-by-step explanation:

Tom can paint 1/6 of the fence in an hour

Huck can paint 1/5 of the fence in an hour

Tom takes a half-hour break; we can create this equation:

1/6x - 1/2 + 1/5x = 1

use a denominator of 30:

5x/30 - 15/30 + 6x/30 = 30/30

11x/30 = 45/30

multiply each side by 30/11 to get:

x = 45/11 or 4 1/11

HELPPPPP PLEASEEEE HELPPPPP HELPPPP HELPPPPPPPPP

Answers

Answer:

x = 6

m∡ABC = 135°

Step-by-step explanation:

∡ABE ≅ ∡CBD therefore we can create the following equation:

3x + 27 = 45

3x = 18

x = 6

∡CBD and ∡ABC are supplementary so 180 - ∡CBD = m∡ABC

180 - 45 = m∡ABC

m∡ABC = 135°

description of turning effects​

Answers

Answer:

The turning effect of a force is known as the moment. It is the product of the force multiplied by the perpendicular distance from the line of action of the force to the pivot or point where the object will turn.

HEY BESTIES, HOW DOES AN OUTLIER AFFECT THE DISTRIBUTION OF A DATA SET?

Answers

Basically, an outlier is a point on a graph that doesn't really fit the pattern.

An outlier can throw off a mean, if the outlier is larger than the other points, it can make the mean much higher than it should be. Vice versa, if it is smaller, the mean is much lower.

Which exponential expression is equivalent to the one below?​

Answers

The answer is option A

A movie theater has 1000 seats. There are 424 adults and 339 children sitting in seats. How many of the seats are empty

Answers

Answer:

237 seats are empty

Step-by-step explanation:

Answer:

there are 237 seats that are empty

Step-by-step explanation:

Jane wants to pick out an outfit for a school dance. She can choose from 3 pairs of pants, 5 shirts, and 2 pairs of shoes. How many different outfits does Jane have to choose from?

Answers

Answer:

30

Step-by-step explanation:

Given that,

No. of pairs of pants = 3

No. of shirts = 5

No. of pairs of shoes = 2

No. of different outfits that Jane can choose from = 3 * 5 * 2

= 30

∵ The maximum number of different outfits would be 30.

helppppppppppppppppppppppppppppp

Answers

Answer:

12000 cubic meters

Step-by-step explanation:

v=(1/3)(900)(40)

12000 cubic meterssssssssssss

Which of the following points is a solution for this system of equations:
y = –2x – 11
y = x² – 2x – 36

A. (0,-36)
B. (-3,-5)
C. (0,-11)
D. (5,-21)

Answers

Answer:

D

Step-by-step explanation:

There you go mate, just writing this to be 20 words long so I can answer it

Helppp pleasee!!!
MARK BRAINLIST
12 POINTS

Answers

Answer:

12.56

Step-by-step explanation:

use the circumference of a circle formula, C=2πr, to find the circumference

so C=2π(2)=12.56 the last one

The correct answer should be 12.56

HELP! THIS IS DUE TODAY, and i will mark brainlest!

Answers

Answer:

Option 3

Step-by-step explanation:

y=3+x is a straight line that runs through y=3 and x=-3

So your 3rd option here is the one.

Answer:

I think it's the third option

Help I suck at math

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We can use this formula to find the equation of the line

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y - 11)/(23-11) = (x-1)/(3-1)

(y-11)/12 = (x-1)/2

y-11 = 6x-6

y = 6x + 5

the rate of change is the slope of the line, while the constant (5) is the y intercept

There 10 race. Medals are awarded for , 2nd and 3rd place. how many different ways can the medals be awarded?

Answers

there are 720 different possible ways the 3 prizes are awarded.

Answer:

20 ways

Step-by-step explanation:

Because You can get a 2nd place and 3rd place medal so thats 2 ways but there are 10 races so times 10 is 20 :)))))

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