the length of a side of a rectangle is 6 cm. what should the length of the other side be so that the perimeter of the rectangle is smaller than the perimeter of a square with a side of 4cm?

Answer:

The parallel equation is y=[tex]\frac{5}{2}[/tex]x-5.

The perpendicular equation is y=[tex]\frac{-2}{5}[/tex]x-5.

Step-by-step explanation:

First solve for y.

-5x+2y=8

2y=5x+8

y=[tex]\frac{5}{2}[/tex]x+4

A line is parallel if it has the same slope, but different y-intercepts.

The y-intercept of the given point is -5, so the new slope will be y=[tex]\frac{5}{2}[/tex]x-5

To find a perpendicular line, you find the negative reciprocal of the given slope.

So you find [tex]\frac{-1}{\frac{5}{2} }[/tex], which is equal to [tex]\frac{-2}{5}[/tex].

The perpendicular equation is y=[tex]\frac{-2}{5}[/tex]x-5.

Answer:

Step-by-step explanation:

Answer:

875cm^2

Step-by-step explanation:

since opposite sides are equal

3x-y=2x+y

x=2y                                                      

y=x/2                                                                      ....(i)

thus new length=2x+y

=2x+(x/2)                                                              [using (i)]

=(4x+x)/2

l=5x/2                                                                   .....(ii)

now,

perimeter=2(l+b)=120cm

l+b=60cm            

from figure and using (ii)

[5x/2]+2x-3=60

[5x+4x-6]/2=60

9x-6=120

9x=126

x=126/9

x=14                                                                 ..........(iii)

substitute (iii) in (i)

y=14/2

y=7                                                                  ...........(iv)

From figure,

length=2x+y                                                   [using (iii) and (iv)]

=2x14+7

length=35cm

breadth=2x-3

=2x14-3                                                          ....[using(iii)]

=28-3

breadth=25cm

now,

Area=lxb

=35x25

=875cm^2

Answers:-

23)

the rule is y= x/3

Answer:

56

Step-by-step explanation:

0.14 gallons/sec * 50 sec = 7 gallons

There are 8 pints per gallon.

7 gallons * 8 pints/gallon = 56 pints

Given that a running tap dispenses 0.14 gallons of water every second. Using unitary method, 56 pints of water is dispensed after 50 seconds.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Water dispensed every second =  0.14 gallons

Water dispensed after 50 seconds = 0.14 * 50 = 7 gallons = 7 * 8 = 56 pints (1 gallon = 8 pints)

Learn more about unitary method here

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100.8

6/2.5=2.4

2.4×42=100.8

Answer:

sjsjsjsddxsssssd

Step-by-step explanation:

ejdjenxxdxgrsxswe

1. A

2. A

3. D

4. A

5. D

6. A

7. B

8. C

9. D

Step-by-step explanation:

the area of the trapezium =

½(3x-1+x+3)(x-3)=

½(4x+2)(x-3)=

(2x+1) (x-3) =

2x²-6x+x-3=

2x²-5x-3 (option B)

Answer:

[tex]x=6\\y=12[/tex]

Step-by-step explanation:

To find the value of x you can use sin rule

[tex]sin(60)=\frac{oppoaite}{hypotenuse}\\\frac{\sqrt{3} }{2} =\frac{x}{4\sqrt{3} } \\[/tex]

Use cross multiplication

[tex]4*\sqrt{3} *\sqrt{3} =2x\\4*3=2x\\12=2x\\\frac{12}{2} =\frac{2x}{2} \\6 =x[/tex]

To find the value of y you have to use sin rule again

[tex]sin(30)=\frac{opposite}{hypotenuse}\\\frac{1}{2} =\frac{x}{y} \\\frac{1}{2} =\frac{6}{y} \\[/tex]

Use cross multiplication

[tex]y=6*2\\y=12[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

So..ummm kay.....

(20t + 5)° + 15t° = 180° [they form a linear pair]

20t + 5 + 15t = 180

20t + 15t = 180 - 5

35t = 175

t = 175 ÷ 35

t = 5

Hope u got it --- ;)

Answer:

[tex]y < \frac{1}{3}x + 2\\y \leq -2x + 2[/tex]

Step-by-step explanation:

The equation of a line can be simply found via slope-intercept form-y = mx+b,

where m is the slope and b is the y-intercept.

Answer:

<A = right angle

<B = acute angle

<C = obtuse angle

<D = acute angle

Step-by-step explanation:

Right angle = 90 degrees

Acute angle = less than 90 degrees

Obtuse angle = more than 90 degrees

∠A = 90° is a right angle, ∠B = 60° and ∠D  = 70° are acute angles,

and ∠C = 140° is an obtuse angle.

We have,

The quadrilateral ABCD.

There are four angles:

∠A = 90°
∠B = 60°

∠C = 140°

∠D = 70°

An acute angle is an angle whose measure is less than 90 degrees.

An obtuse angle is an angle whose measure is greater than 90 degrees but less than 180 degrees.

A straight angle is an angle whose measure is 90 degrees.

Using the definition,

∠A = 90°

This is a right angle.
∠B = 60°

This is an acute angle.

∠C = 140°

This is an obtuse angle.

∠D = 70°

This is an acute angle.

Thus,

∠A = 90° is a right angle, ∠B = 60° and ∠D  = 70° are acute angles,

and ∠C = 140° is an obtuse angle.

Learn more about angles here:

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Answer:=Sin=6.1/9.9

sin^-1(6.1/9.9)=38.03637396

Step-by-step explanation:

Answer:

The answer is 31.42 miles

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's find the required expression :

combine the like terms :

you can also drive -8 to right side to add with 180° if needed !

Answer:

x = 3

y = 2

z = -3

Step-by-step explanation:

L1         x + 2y + z = 4

L2      2x - y + 4z = - 8  

L3    - 3x + y - 2z = - 1

2L1 - L2

2x + 4y + 2z = 8

-2x +   y - 4z =  8

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

         5y - 2z = 16        L4

3L1 + L3

3x + 6y + 3z = 12

-3x +   y  - 2z = -1

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

        7y +  z = 11            L5

L4 + 2L5

 5y - 2z = 16

14y + 2z = 22

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

19y        = 38

y = 38 / 19

y = 2

7y +  z = 11

7(2) + z = 11

14 + z = 11

z = 11 - 14

z = -3

x + 2y + z = 4

x + 2(2) + (-3) = 4

x + 4 - 3 = 4

x + 1 = 4

x = 4 - 1

x = 3

Answer:

it was viewed as the perfecto spot for trade

Answer:

a

Step-by-step explanation:

Answer: y=35/3x

Step-by-step explanation:

got right on test

Explanation:

It lost 28-21 = 7 dollars. Divide this loss over the original price

7/28 = 0.25 = 25%

This shows that we have a 25% decrease

Answer:

Look at where 0 is. Then do you see those lines? Start from zero and count up on those lines by 2. I hope that makes sense for you. Also if you know how to would you please mark me brainliest?

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Author states the problem was meant to be [tex]2^{-2}[/tex]

A negative power means your answer will be a fraction.

[tex]x^{-y}=\frac{1}{x^y}[/tex]

if we input our variables...

[tex]2^{-2}=\frac{1}{2^2} =\frac{1}{4}[/tex]

Answer:

0

Step-by-step explanation:

if i have two apples and take 1 away i have 1. if i take one more away i have none. none=0

Answer:

21/256 or 0.082 (approx.)

Step-by-step explanation:

4 - 515x + 2 = - 36

or, -515x = -36-2-4

or, 515x = 42 [multiplying with (-1) in both sides]

or, x = 42/515

or, x = 21/256 = 0.082

Answer:

wouldnt it be y=4?

Step-by-step explanation:

Answer:

the first one ⇒ -27/20

Step-by-step explanation:

hope this helps :)

Answer:

-27/20

Step-by-step explanation:

Step 1: Flip the division symbol into a multiplication symbol, and flip the fraction -4/9.

Step 2: Multiply.

Therefore, the answer is -27/20.

Answer:

$301.20

Step-by-step explanation:

Note: 10.04 per hour

Multiplication:

30 x 10.04 = $301.20

Answer: 301.2

Step-by-step explanation: if she earns 10.04$ per hour then you just have to multiply 10.04 and however many hours she has worked for. Like this - 10.04 X 30.