The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of one side of the square and the length of the rectangle is 3 meters more
than its width.
a) Calculate the dimensions of the rectangle and its perimeter

b) Calculate the dimensions of the square.

Answers

Answer 1

Answer:

Step-by-step explanation:

Square is x meters on each side.

Area of square = x²

Width of rectangle = x+1

Length of rectangle = x+4

Area of rectangle = (x+1)(x+4) = x²+5x+4

Combined area = 2x²+5x+4 = 33

2x²+5x-29 = 0

x = [-5+√(5²-4(2)(-29))]/[2(2)] = [-5 +√257]/4


Related Questions

Which statement is true about the prime polynomial 2x2 + 3x + 3?
ОО
It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.

Answers

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

The given expression 2x^2 + 3x +3 cannot be factored.

That means that it cannot be modeled with a rectangle.

So your answer is, It cannot be modeled with a rectangle.

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

Hope this helps

Suppose a robot is at the corner of a rectangular arena and needs to reach the diagonally opposite corner. If the length of the arena is 105 meters, and the width is 68 meters, find the distance that the robot needs to travel. Round your answer to the nearest whole meter.

Answers

Answer:

Frx8txutxitxigxtix7fv7t8citcti

Which equation represents the relationship between x and y?

A. y = x + 25
B. y = 25x
C. x =25y
D. x = y +25

Answers

I’m not really sure but I think it is y=25x

Mason is laying tiles on his entryway. The tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long. How many tiles will Mason need to buy in order to cover the length of the entryway? Explain.

Answers

Answer:

1 2/3

Step-by-step explanation:

7 1/2x2/9

The required number of tiles will be 34 covering the length of the entryway.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

We have been given that the tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long.

We have to determine the number of tiles will he need to buy in order to cover the length of the entryway.

According to the given question, the required solution would be as:

So the number of tiles covering the length of the entryway will be

⇒ 7 1/2 ÷ (2/9)

⇒ 15/2 ÷ (2/9)

⇒ 15/2 / (2/9)

Reciprocal the term in the denominator

⇒ (15/2) x (9/2)

Apply the multiplication operation,

⇒ 135/4

Apply the division operation,

⇒ 34

Thus, the required number of tiles will be 34 covering the length of the entryway.

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ5

Help right answer get brainliest

Answers

Answer:

all i know is 6 is 72/30 because I'm busy right now sorry that I don't have the simplest form of answer

Answer:

6. 2 2/5

7. 66/145

8. 1 1/5

Step-by-step explanation:

The exterior angles of a quadrilateral have measures of 80°, 65, 2x", and 3x . Find the value of x.

Answers

Answer:

80°+65°+2x+3x=360°(sum of quadrilateral is 360)

145°+5x=360°

5x=360°-145°

5X=215°

X=215°/5°

X=43°

The required value is [tex]x=43[/tex]

Given angles are,

[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]

As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].

Then we have the relation,

[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]

So, the value of the x is 43.

Find out more information about the topic:https://brainly.com/question/8565742

Write the name of each decimal place indicated (pls don't troll I'm failing I'll give brainliest)

Answers

Answer:

7.) c

8.) 5.9

9.) 8.78

10.) 8.778

if im wrong let me know

Step-by-step explanation:

If £30 is split between two people in
the ratio 3:2, what does each get?

Answers

Answer:

15 pounds because 30/2 is 15

how to slove
y=15x+12

Answers

Answer:

0

Step-by-step explanation:

what is the answer??? Please help me!
16% of 40 =

Answers

Answer:

16/100*40

32/2

lol so simple

gg

Help ASAP please.due in a few minutes.

Answers

Answer:

Rumble charters

Step-by-step explanation:

OK bus line:

55 +3.50(25)

55+87.5

=142.50

Rumble charters:

75+2.25(25)

75+56.25

=131.25

From looking at the steps we could tell that Rumble charters bus line would be cheaper.

its the second one

Step-by-step explanation:

1. 3.50×25+55=142.5

2. 2.25×25+75=131.25

a triangular sail on a sailboat measures 8 yards on one side and 10 yards on a second side, what could be the length on the third side?

Answers

Answer:

8 yards

Step-by-step explanation:

/\

/ \

/ \

----------

/ and \ = 8

_ = 10

NEEED HELP PLEASEEEEE
Write a rate that represents the situation:
One possible rate is ( ) week(s) for ( ) every day(s).

Answers

Answer:

10/10

Step-by-step explanation:

Ez..........................................................

sketch graphs of these three quadratic relations on the same set of axes.
a) y=x^2 + 8
b) y= x^2 - 5
c) y= x^2 - 10

Answers

Answer: B
I hope this helps you

Which equation has a slope of 3?

y=3y is equal to 3

y=3−xy is equal to 3 minus x

y=3x−1y is equal to 3 x minus 1

y=x+3

Answers

Answer:

the third one

Step-by-step explanation:

slope intercept form is y = mx + b

where m = slope

for the third one m = 3

therefore the third one is the correct answer

This equation shows how the cost of a photography session is related to its duration in hours.

c = 20d

The variable d represents the duration of the session in hours, and the variable c represents the cost. What is the duration, in hours, of a photography session that costs $20?

Answers

Answer:

1 hour

Step-by-step explanation:

c= 20d

here, c=$20

$20=20d

or, d= 1 hr

??? Help me with my work pls

Answers

Answer:

2. 10 + 5 x 2                    $20

3. 10 + 5 x 3                    $25

4. 10 + 5 x 4                    $30

Hope that helps!

Step-by-step explanation:

Answer:

2) 10+5x2= 20

3) 10+5x3= 25

4) 10+5x4= 30

Step-by-step explanation:

just add 5 every time

Write an equation in standard form for the line that has slope 1/3 and passes
through (-2, 8)

Answers

Answer:

        -x + 3y = 26            

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                              y - y₁ = m(x - x₁)

m = ¹/₃

(-2, 8)    ⇒   x₁ = -2,  y₁ = 8

Therefore,  the equation of the line which passes through (-2, 8) and with slope of 1/3 in point-slope form:

y - 8 = ¹/₃(x - (-2))

y - 8 = ¹/₃x + ²/₃                   {multiply both sides by 3}

3y - 24 = x + 2                    {subtract x from both sides}

-x + 3y - 24 = 2                     {add 24 to both sides}

-x + 3y = 26

Rectangle A'B'C'D' is the image of rectangle ABCD after a dilation. What is the scale factor of the dilation?​

Answers

The dilation is 1/2
The second image is 1/2 the length of the original image

TOURS The table shows the activities of two visitors at a park. You want to take the boat tour for 2 hours and the walking tour for 3 hours. Can you determine how much you will pay? Explain.

Answers

Answer:

Step-by-step explanation:

23. What is the value of x?

Answers

Answer:

9

Step-by-step explanation:

If PQ || to BC

Then by BASIC PROPORTIONALITY THEOREM:

[tex] \frac{8}{40} = \frac{x}{45} \\ \\ \frac{1}{5} = \frac{x}{45} \\ \\ x = \frac{45}{5} \\ \\ x = 9[/tex]

Hand Sanitizer question​

Answers

Answer:

the first one  

Step-by-step explanation:

The table below shows the scores on a science test.
John
75 Brett
80
Elizabeth 90
Cindy
100
Jake
75
Kenji
85
Rick
80 Joy
80
Raul
90 Suni
85
The number of standard deviations between a score and the mean score is indicated by a z-score. What was Cindy's
Z-score on the science test?
a. -2.2
C. 16
b. 100
d. 2.2

Answers

Standard deviation is 7.35
Mean is 84

Cindy got a 100

(100-84)/7.35=2.2

D FINAL ANSWER

Based on the test scores of the students, Cindy's z-score on the science test is 2.2

How to determine the z-score of Cindy?

We start by calculating the mean of the scores using:

Mean =Sum/Count

So, we have:

Mean = (75 + 80 + 90 + 100 + 75 + 85 + 80 + 80 + 90 + 85)/10

Mean = 84

Using a statistical calculator, the standard deviation is:

Standard deviation = 7.35

The z-score is then calculated using:

z = (x - mean)/standard deviation

Cindy's score is 100.

So, we have:

z = (100 - 84)/7.35

Evaluate

z = 2.2

Hence, Cindy's z-score on the science test is 2.2

Read more about z-scores at:

https://brainly.com/question/25638875

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On the grid below, draw the graph of y = 2 - 3x for the values of x from - 3 to 3

Answers

Step-by-step explanation:

slop -3

(x ,y) point that throgh the x,y axis

(0,2), (1,-1), (2, -4),( -1, 5), ( -2, 8) etc you can make the graph by connect the co ordinat point

PLEEEEEEASE HELPPPPPP

Answers

Answer:

Row 1

Step-by-step explanation:

If you divide the number of oranges in each row by their number of boxes, you always get 13 oranges per box.

(156/12 = 13)

(130/10 = 13)

(91/7 = 13)

(65/5 = 13)

But, in Row 1, he made a mistake: 13/2 = 6.5 The mistake here is that Row 1's "number of boxes" should be 1, not 2, to make this eqation true. If we did this, then we will get 13 as our "number of oranges" instead of 6.5, becuase the equation will now be 13/1 = 13 and his table will be correct.

Row 1 has the mistake.

Help!! I have 55 seconds to do this

Answers

Answer:

the answer is A

Step-by-step explanation:

78 is acute angle because it is less than 90 degrees. A is an acute angle so thats the answer

Can someone please answer my question for real please. I’ll give extra points

Answers

Question:

In triangle FGH, the measure of angle H = 90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of angle G?

___________________________________________________

Solution:

The triangle FGH should look like that in the attachment.

Tangent of angle G = opposite side/adjacent side

= FH/HG

= 55/48

The measure of angle 1 is 39º. What is the measure of the angle
adjacent to angle 1? Explain.

Answers

Answer:

[tex]180 - 39 = 141[/tex]

141° is the answer

1. Michael and 6 friends went to the movies. There, they each bought movie tickets and a bag of popcorn to share among them all. Michael used the expression 7t + 4.50 to find the total cost. a) What is the variable and what does it represent in the expression? Explain.

Answers

Answer:

The variable is t

t represent the cost of movie tickets

Step-by-step explanation:

Given:

Total cost = 7t + 4.50

The variable is t

Michael + 6 friends = 7 people

4.50 represent the cost of popcorn

t represent the cost of movie tickets

For instance,

If the cost of a movie tickets is $2

Then,

t = 2

Total cost = 7t + 4.50

= 7(2) + 4.50

= 14 + 4.50

= 18.50

Total cost = $18.50

Please help me find the answer ASAP

Answers

Answer:C Because there the same sides

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