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

Look at the photo for the question the possible answers are

A. 9
B. 81
C. 3
D. 24

Answers

The square root of 27 is 3 so the answer is C hope this help and to help me mark as brainlist

What is the two fifths of the collection pilers, hammers, wrenches, saws.​

Answers

Answer:

Pliers

Step-by-step explanation:

From the picture attached,

Number of pliers = 4

Number of hammers = 2

Number of wrenches = 2

Number of saws = 2

Total collection of tools = 4 + 2 + 2 + 2 = 10

Since, two fifth means,

[tex]\frac{2}{5}=\frac{2\times 2}{5\times 2}[/tex]

[tex]\frac{2}{5}=\frac{4}{10}[/tex]

That means tool with 4 counts out of total 10 tools will be the answer.

And the answer is pliers.

A trampoline park costs $12 for the first hour and $6 for each additional hour. Flynn pays $30 at the trampoline park. Select the equation that represents the given situation and find the number of additional hours Flynn stays at the trampoline park after the first hour.
A. 12x + 6 = 30; 3 hours
B. 6x + 12 = 30; 3 hours
C. 6x + 12 = 30; 2 hours
D. 12x + 6 = 30; 2 hours

Answers

Answer is B. 12 dollers for 'admission' and then you have 6 per hour of time

The equation that represents the given situation is 12 + 6x = 30.

The number of additional hours is 3.

Option B is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

A trampoline park costs $12 for the first hour and $6 for each additional hour.

Amount paid at the park = $30

Now,

12 + 6x = 30

x is the number of hours.

Solve for x.

12 + 6x = 30

6x = 30 - 12

6x = 18

x = 3

Thus,

The equation is 12 + 6x = 30.

The number of hours is 3.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

6 – [ - 2( - 3 – 5)] =

Answers

Answer:

-10

Step-by-step explanation:

Using PEMDAS start in the inside (-3-5) = -8 then -2(-8) = 16 then the final step

6 - 16 = -10

Answer:

-3 - 5= -8

-2 x -8= 16 (2 negatives make a positive when multiplied)

6-16= -10

12
11
10
9
8
4
3
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10 11 12
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12

Answers

Answer:

You didn't say what the question was

Answer: 3

Step-by-step explanation:

Tom's current age is 5 times Mia's age 10 years ago. What is Tom's current age in
terms of m?

Answers

Answer:

5m-50

Step-by-step explanation:

let's take Mia's current age as M

ten years ago Mia would be

m-10

Tom bring five times Mia's age that should be

(m-10)5

5m-50

20 POINTS I WILL GIVE YOU BRAINLIEST IF YOU CAN FIND EACH MISSING VARIABLE PLS PLS PLS

Answers

Answer:

145?

Step-by-step explanation:

if cos 0 = -3/4 and 0 is in quadrant iii then sin 0 is equivalent to

Answers

Answer: - radical 7 / 4

Step-by-step explanation:

draw a triangle in quadrant III

plug in correct terms

use Pythagorean theorem

to simplify down to find the opposite angle

b= rad 7

The sum of the squared lengths of the other two sides of a right triangle equals the square of the hypotenuse's length, which can be defined as follows:

Finding the sin θ value:

[tex]\to \cos \theta =-\frac{3}{4}[/tex]

[tex]\to \sin \theta =?[/tex]

[tex]\sin \theta = \frac{opposite}{hypotenuse}\\\\\cos \theta =\frac{hypotenuse}{adjacent}\\\\[/tex]

therefore

hypotenuse= -3

adjacent= 4

Using the Pythagorean theorem to find the opposite:

Hypotenuse²= Adjacent²+ Opposite²

[tex]-3^2= 4^2+x^2\\\\9=16+x^2\\\\x^2= -16+9\\\\x^2=-7\\\\x= -\sqrt{7}\\\\[/tex]

Therefore the value of sin θ [tex]= \frac{\sqrt{7}}{-3}= \frac{\sqrt{7}}{3}[/tex]

Find out more about the Pythagorean theorem here:

brainly.com/question/21332040

The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find
(i) its inner curved surface area
(ii) The cost of plastering this curved surface at the rate of Rs. 40 per m².​

Answers

I: 109.96m^2 (lateral surface area)
II: 109.96x40=about 4398.4

Answer:

Refer to the attached file below

Hope it helps...

Have a great day :)

Find the measure of the exterior angle.

Answers

44 + a + 10 = 2a

54 + a = 2a

54 = 2a - a

54 = a


so the triangle has these angels

44°

a + 10 = 54 + 10 = 64°

180 - 44 - 64 = 72°

and the 2a is

2(54) = 108°


to be sure

108 = 64 + 44

108 = 108
✅✅

Function f is defined by the equation f (x) = 10x + 2. What is the value of f (2)?

Answers

Answer:

f(2) = 22

Step-by-step explanation:

To find f(#), plug the number into each x of the equation.

f(x) = 10x + 2

f(2) = 10(2) + 2

Simplify the parentheses by multiplying.

f(2) = 20 + 2

Add.

f(2) = 22

Hope this helps!

factorise p-q-x(q-p)​

Answers

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

What is the slope of the line that passes through the points (-2, 8)(−2,8) and (-22, 8) ?(−22,8)? Write your answer in simplest form.

Answers

Answer:

           0

Step-by-step explanation:

The slope of the line passing through two given points:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(-2, 8)   ⇒   x₁ = -2,  y₁ = 8

(-22, 8)   ⇒     x₂ = -22,  y₂ = 8

So, the slope:

                     [tex]m=\dfrac{8-8}{-22-(-2)}=\dfrac{0}{-20}=0[/tex]

In ΔFGH, the measure of ∠H=90°, the measure of ∠F=36°, and HF = 5.3 feet. Find the length of FG to the nearest tenth of a foot.

Answers

Answer: 6.6

Step-by-step explanation:

Answer:

6.6

Step-by-step explanation:

x/7=1/4
please help will give brainlest

Answers

Answer:

x=7/4

Step-by-step explanation:

cross multiply and divide both sides

Which choice shows 6+2+14 rewritten correctly using the commutative property and then simplified correctly?

Answers

Answer:6+14+2=20+2=22

Step-by-step explanation:6+2+14=22

In commutative property, the order of the addends is changed and the answer is simplified.

3a=1
What is a equal to?

Answers

Answer:

1/3

Step-by-step explanation:

3a = 1

/3    /3

a = 1/3

Answer:a

a= one third or 1/3

3 times 1/3 = 1

Step-by-step explanation:

May I please have the correct answer please? I will give you whatever you want

Answers

Correct answer is: 0.015625
4^-3
= 1/4^3
=1/4x4x4
=1/64

Will a pair of 6 feet 11 inch long skis fit in a wardrobe that is 3 feet long, 2 feet wide and 6 feet high?

Answers

Answer:

Step-by-step explanation:

Length of a pair of skis = 6 feet 11 inches

Maximum length of a the skis that can be fitted in a wardrobe is along the diagonal of the wardrobe.

From the picture attached,

BC² = 3² + 2² [By Pythagoras theorem]

BC = √(13)

By applying Pythagoras theorem in ΔABC,

AB² = AC² + BC²

AB² = 6² + (√13)²

       = 36 + 13

AB = √49

Ab = 7 feet

Since, "diagonal length of the wardrobe is more than the length of skis,

skis can be fitted"

An airplane climbs at an angle of 11 decrease with the ground. Find the ground distance it has traveled when it has attained an altitude of 400 ft.


A. 2057.82
B. 407.49
C. 76.32
D. 2096.34

Answers

Step-by-step explanation:

yall lazy figure this out yourself

what is equvalint to 1/2a-4

Answers

If your doing ireadys the answer is 1/2(a-8 but no negative 8 it’s just original 8

Answer if you know the answerss only please

:WARNING: WILL BE REPORTING>
UWU

Answers

Answer:

1. There are 18 girls

2. (BLANKS IN ORDER) 5, 18, 36, 30

Step-by-step explanation:

with the ratio given, you divide the lager by the smaller then multiply accordingly to the others( keep in mind it depends which number is on what side)

Can anyone help me with this problem?

Answers

First find slope
(Y2-y1)/(x2-x1)
(-3-(-1))/(-6-9) = -2/-15 = 2/15
Point slope: y-y1 = m(x-x1)
Solution: y + 1 = 2/15(x - 9)

Jenny wants to buy an MP3 player that costs $30.98. Write an equation so find how much change (x) she receive if she gives the cashier $40. *

Answers

Answer:

40.00-30.98=x

What is 8^3x4+6^2-37+69x2^3?




I saw a hummingbird o-o

Answers

Answer:

awwwww

Step-by-step explanation:

Cool!

Answer:

:O That's so cool

Step-by-step explanation:

I've seen only one for the entire time I've been alive, lol

The width of a rectangle is one less than one third of the length. The perimeter of the rectangle is 78 cm. What are the dimensions of the rectangle?

Answers

Answer:

26

Step-by-step explanation:

just use a calculator or search it up

please helps
Which function represents this sequence?

A.
f(n) = 4 ∙ 2n-1

B.
f(n) = 4n-1

C.
f(n) = 2 ∙ 4n-1

D.
f(n) = 2n-1

Answers

Answer: A. f(n) = 4 ∙ 2n-1

Step-by-step explanation:

because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.

Without using a calculator, order the following numbers from least to greatest
10, Square root 78 ,9

Answers

The square root of 78 is a number which when multiplied by itself results in 78. The square root of 78 is denoted by √78. 78 can be expressed as 78 = 2 × 3 × 13. Hence, on simplifying square root of 78 is written as √78

so the least number is root 78 , 9 , 10

Please help giving BRAINLYEST and TONS of points​

Answers

Answer:

A, 2π/3

Step-by-step explanation:

First eliminate the √5 from the equation,

we get (4π - 2π) / 3,

then simply we can get the answer of 2π/3 which is A

Your parents are buying a new car for $15,000. They pay 6.25% sales tax . How much do they pay for the car including tax

Answers

Answer:

$15,937.50

Step-by-step explanation:

15000 × 1.0625 = 15937.5

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