a rectangle is twice as long as it is wide and its perimeter is 432cm
a) work out the dimensions of the rectangle.
b) work out the area of the rectangle.​

Answers

Answer 1
Answer:-

Let

Width of rectangle=xLength of rectangle=2xPerimeter=432cm

We know that in a rectangle

Perimeter=2(Length+Breadth)

[tex]\\ \sf\longmapsto 2(x+2x)=432[/tex]

[tex]\\ \sf\longmapsto 2x+4x=432[/tex]

[tex]\\ \sf\longmapsto 6x=432[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{432}{6}[/tex]

[tex]\\ \sf\longmapsto x=72[/tex]

[tex]\\ \sf\longmapsto 2x=2(72)=144[/tex]

Length=144cmBreadth=72cm

☆Area=Length×Breadth

[tex]\\ \sf\longmapsto Area=144\times 72[/tex]

[tex]\\ \sf\longmapsto Area=10368cm^2[/tex]


Related Questions

Which of the two data sets shown in the box
plots below has the greater mean?​

Answers

Answer:

Step-by-step explanation:

Remember that the mean is average

Ex. Set A

Add then divide by the 8

Please help me the picture is above I’ll mark as brainliest. I really need the answer

Answers

I think that is is 65 cubic inches in a box

.........................​

Answers

Answer:

The literals are; a, b, and c

The constants are; c, and 3

The variables are; x, and y

Step-by-step explanation:

The literals (numbers) are letters which represent numbers in an expression or equation, and to which mathematical operations, including, addition, subtraction, division, and multiplication can be applied

The given equation is a·x² + b·x + c - y + 3 = 0

The literals are;

'a', 'b', and 'c'

The constants are the values that remain the same always in an equation and does not change

The constants are;

'c', and '3'

The variables are the values that vary in relation to one another

The variables are;

'x', and 'y'

1. A zoo has an Asian elephant that weighs 6 tons. The elephant got sick and lost 1450 pounds. What is the elephants new weight in tons? 2. In a package of balloons, the ratio of purple balloons to green balloons is 3 to 4. What could be the total number of balloons in the package? 3. The ratio of red flowers to yellow flowers in a field is 5 to 7. If there are 392 yellow flowers in the field, how many red flowers are there?

Answers

Answer:

1. The new weight of elephant is 5.342 tones.

3. The number of red flowers are 280.

Step-by-step explanation:

1. weight of elephant = 6 tons

weight lost = 1450 pounds

As , 1 pound = 0.000454 ton

So, 1450 pounds = 0.658 ton

The new weight of elephant is

= 6 - 0.658 = 5.342 tones

3.

red flower to the yellow flower is 5 : 7

Number of yellow flowers = 392

Let the red flowers are R.

So,

[tex]\frac {5}{7}=\frac{R}{392}\\\\R = 280[/tex]

Which sequence is arithmetic? A- 2,6,18,54... B- 3,6,12,24... C- 11,14,17,20... D- 7,11,13,18

Answers

I think B. 3,6,12,24 is the answer

Answer:

C

Step-by-step explanation:

the pattern is add 3

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

The point (3,-7) lies on a circle and the center of the circle is at (-2,-7). What is the equation of this circle

Answers

Step-by-step explanation:

the answer is in the above image

Solve the following system of equations using all three methods. Must show your work. 4x + y = 2 3x - 3y = 9

Part A: Solve by graphing.

Part B: Solve by substitution.

Part C: Solve by elimination.

Describe the process and steps you used to solve each method.

Answers

Answer:

Step-by-step explanation:

you do part a

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

b

Divide equation 2 by 3

x-y=3

add y to both sides

x=3+y

Sbustitute this into equation 1

4(3+y)=2

12+4y+y=2

5y= -10

y= -2

Plug this into equation 1

4x-2=2

x=1

Part c.

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

divide equation 2 by 3

x-y=3

add the two equations

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

5x=5

x=1

Plug this into equation 1

4(1)+y=2

4+y=2

y= -2

For part a just create a table and graph it

What is the Order of Magnitude of the number of pennies equivalent to a quarter?​

Answers

Answer:

It is mainly used while doing scientific notation. If two numbers differ by one order of magnitude, one is about ten times larger than the other. If they differ by two orders of magnitude, they differ by a factor of about 100.A quarter is 0.25 dollars so the ratio between 1 dollar and a quarter is 1/0.25(it means the dollar and the quarter which is 0.25 dollars) and that equals =4

(n+t) divided by 4 i need the answer please

Answers

Answer:

[tex]\frac{n+t}{4}[/tex]

Step-by-step explanation:

(n+t) divided by 4

The equation would be [tex]\frac{n+t}{4}[/tex]

Hope this helps

Answer:

(n+t)/4

Step-by-step explanation:

Math help please show work I will mark Brainlist if correct

Answers

Answer:

Step-by-step explanation:

(1).

(a). 1 m ≈ 3.28 ft.

128 m ≈ 419.84 ft.

(b). 1 yd. ≈ 0.0009144 km

3910 yd. ≈ 3.58 km

(2). 1 m ≈ 0.0006214 mi.

10 000 m ≈ 6.2 mi.

what is the total cost for an item that costs $140.00 and has a sales tax rate of 7.5%

Answers

Answer:

$150.5

Step-by-step explanation:

CP of an item = $140

sales tax rate = 7.5%

sales tax amount = sales tax rate of CP

=7.5% of CP

= 7.5/100 * $140

=$1050/100

=$10.5

total cost with tax = CP + tax rate

=$140 + $10.5

=$150.5

The sum of the interior angle measures of a convex polygon with n sides is given by the expression 180n–360 . Factor the expression.

Answers

Answer:  180(n-2)

You use the distribution rule to factor

The distribution rule is a(b+c) = a*b+a*c

help on this please
Find < Z

Answers

Answer:

150°

Step-by-step explanation:

2x+x+90=180

3x=90

x=30

z= 180-x = 180-30 = 150°

Choose the methods of solving quadratic equations

Completing the Square
Factoring
Square Root Method
Area Formula
Simplifying
Cross Multiplication
Guess and Check
Quadratic Formula
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve this quadratic equation using the quadratic formula.

x2 + 8x - 5 = 0
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve this quadratic equation using the quadratic formula.

2x2 - 2x = 1

Answers

Answer:

Factoring square root method quadratic formula completing the square method . x1=3+(check)3 and x2=3-(check)3 .

Step-by-step explanation:

Have an amazing day<3 thirty percent chance this is right 70 it’s wrong

The point (5,-12) lies on the terminal side of an angel theta in standard position. Find the exact value of cot theta. Express the answer as a fraction reduced to the lowest term

Answers

Answer:

[tex]cot\theta=-\frac{5}{12}[/tex]

Step-by-step explanation:

We are given that the point (5,-12) lies on the terminal side of an angle theta in standard position.

We have to find the exact value of [tex]cot\theta[/tex].

Let

Point (x,y)=(5,-12)

[tex]r=\sqrt{x^2+y^2}[/tex]

Substitute the values

[tex]r=\sqrt{5^2+(-12)^2}[/tex]

[tex]r=\sqrt{169}=13[/tex]

We know that

[tex]cot\theta=\frac{x}{y}[/tex]

Using values

[tex]cot\theta=-\frac{5}{12}[/tex]

expand (y+1)(y-4) !!!!!!

Answers

Answer:

Step-by-step explanation:

y^2 - 4y + y - 4

y^2 - 3y - 4

What's Is m 32
58
74
148

Answers

Answer:

x=74

Step-by-step explanation:

The angle H = x

We know angle M also is x because the sides are the same length

The sum of the angles of a triangle add to 180

x+x+32 = 180

Combine like terms

2x+32 =180

Subtract 32 from each side

2x = 180-32

2x =148

Divide by 2

2x/2 =148/2

x=74

Which expression is equivalent to this quotient?

[tex]\frac{1}{x+5} \\\frac{x+3}{5x+15}[/tex]

Answers

I think this was your problem.. hope this helps!

Are these relations a function? Yes or no.
{(–1,5), (2, -1),(4,3), (9,-4), (11, 1)}

Answers

Function is a set of ordered pairs where there cannot be same x-values or repetitive domain in a set.

For example below below:

{(1,1),(2,3),(3,3),(4,5)}

The following relation is a function since there are no same x-values in a set.

{(1,1),(1,2),(2,2),(4,8)}

The following relation is not a function since there are same two x-values which is D = {1} or (1,1) and (1,2) both have same domain. Thus, not making the relation a function.

From the question, the relation is a function because in a set of ordered pairs, there aren't any same x-values.

Answer

Yes, the following relation is a function.

A 95% confidence interval is (70,110). what is the margin for error? A. 19 B.38 C.20 D.40

Answers

Answer:

C.20

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

In this question:

Lower bound: 70

Upper bounf: 110

Margin of error:

[tex]M = \frac{110 - 70}{2} = \frac{40}{2} = 20[/tex]

Thus the correct answer is given by option C.

Determine whether the given triangles are congruent

Answers

Answer:

Yes they are congruent and it is explained below

Step-by-step explanation:

There are 5 postulates when testing for congruency and they are;

SSS, SAS, ASA, AAS and HL.

S represents side

A represents angle

H represents hypotenuse

L represents leg

Now, in this our question, we can see that the 3 angles and the three sides of both triangles are equal to each other.

Thus, we can make use of SSS postulate whereby we say the 3 sides of the first triangle are equal to the 3 sides of the second triangle.

Thus, they are congruent.

Which expression is equivalent to 24 1/3? A. 2 square root 3 B. 2(3 square root 3) C.2 squareroot 6 D 2(3 square root 6) (look at image please)​

Answers

Answer: Its B

Explanation: took the quiz

[tex]\longrightarrow{\pink{ B. \:2\sqrt[3]{3} }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

[tex]= {24}^{ \frac{1}{3} } [/tex]

[tex] = \sqrt[3]{24} [/tex]

[tex] = \sqrt[3]{2 \times 2 \times 2 \times 3} [/tex]

[tex] = \sqrt[3]{ ({2})^{3} \times 3} [/tex]

[tex] = 2\sqrt[3]{3} [/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

the average length of string a and string d is 10x cm. the average length of string b and string c is 8x cm . the average length of strings b , c , d is 6x cm . find the length of string a in terms of x

Answers

Answer:

[tex]a = 18x[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}(a + d) = 10x[/tex]

[tex]\frac{1}{2}(b + c) = 8x[/tex]

[tex]\frac{1}{3}(b + c+d) = 6x[/tex]

Required

The value of (a)

We have:

[tex]\frac{1}{2}(a + d) = 10x[/tex] --- multiply by 2

[tex]\frac{1}{2}(b + c) = 8x[/tex] --- multiply by 2

[tex]\frac{1}{3}(b + c+d) = 6x[/tex] --- multiply by 3

So, we have:

[tex]\frac{1}{2}(a + d) = 10x[/tex]

[tex]a + d = 20x[/tex]

[tex]\frac{1}{2}(b + c) = 8x[/tex]

[tex]b + c = 16x[/tex]

[tex]\frac{1}{3}(b + c+d) = 6x[/tex]

[tex]b + c + d= 18x[/tex]

Substitute [tex]b + c = 16x[/tex] in [tex]b + c + d= 18x[/tex]

[tex]16x + d = 18x[/tex]

Solve for d

[tex]d = 18x - 16x[/tex]

[tex]d = 2x[/tex]

Substitute [tex]d = 2x[/tex] in [tex]a + d = 20x[/tex]

[tex]a + 2x = 20x[/tex]

Solve for (a)

[tex]a = 20x - 2x[/tex]

[tex]a = 18x[/tex]

A bulb is rated at 330V- 110W. What do you think is its resistance? Three
such bulbs burn for 5hrs at a stretch. What is the energy consumed? Calculate
the cost in rupees if the rate is 1.70 paise per unit?

Answers

Answer:

330

Step-by-step explanation:

-$737737373hhhehehwywuuuwu

Solve the following system graphically.

y < - x
y =< x - 2

Upload one solution of the system and your graph

Answers

Answer:

a solution of the system is the point that satisfies both the equations

(1, -1) is a solution of the system

The angle of elevation to a nearby tree from a point on the ground is measured to be 61 ∘ ∘ . How tall is the tree if the point on the ground is 59 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Answer:

106.44 ft

Step-by-step explanation:

tan = opp/adj

tan61 = opp/59

59*tan61 = opp

opp = 106.438817561014012

Rounded

106.44 ft

f(2) if f(x) = (x + 1)2.

Answers

Answer:

6

Step-by-step explanation:

f(2) = (2 + 1)2

(3)2

6

Answer:

6

Step-by-step explanation:

f(2) = (2+1)*2, f(2) = 3*2 = 6

Write an equation of the parabola that passes through the point (46, - 150) and has x-intercepts - 4 and 56 . Then find the average rate of change from x= -4 to x=6.

An equation is y =

The average rate of change is

Answers

Answer:

6w83ywytahausjsshshfwgwyee

Fbjdbdbdhhdhdbddbdbbdbddbbd so yea

help?- Plot and connect the points A (-4, 4), B (-1, 1), C (-6, 1), and find the length of BC.
A.
4 units
B.
2 units
C.
6 units
D.
5 units

Answers

the answer could be D 5 units
because the distance between B and C is 5 by looking at the x-axis

Answer:

BC= 5 units

Step-by-step explanation:

A 2km long stretch of road needs to be resurfaced. The width of the road is 8.3m. Model this stretch of road as a rectangle.Work out the area of road that needs to be resurfaced in metre squared. Resurfacing this road costs £30 per square metre What is the total cost to resurface this road?

Answers

1 km = 1000 meters

2 km = 2 x 1000 = 2,000 meters

Area = length x width

Area = 2,000 x 8.3 = 16,600 square meters

Cost:

Multiply total area by cost per square meter:

16,600 x 30 = £498,000

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