12. The length and width of a rectangle are in the ratio 7:3. If the perimeter is 62cm calculate: (1) the width (ii) the length of a diagonal to the nearest centimetre. (iii) the area of the rectangle.​

Answers

Answer 1

Answer:

Step-by-step explanation:

Length = 7x

Width = 3x

Perimeter = 2L + 2W

Part A

2*7x + 2*3x = 62

14x + 6x = 62

20x = 62

x = 62/20

x = 3.1

Length = 3.1 * 7     21.7

Width = 3.1 *3        9.3

Width = 9.3

Part B

Use the Pythagorean Theorem

diagonal squared = 21.7^2 + 9.3^2

diagonal^2 = 557.38

sqrt(diagonal^2) = sqrt(557.38)

diagonal = 23.61

To the nearest cm is 24

Part C

Area = L*W

Area = 21.7 * 9.3

Area = 201.8


Related Questions

Name the marked angle in 2 different ways.

Answers

1) angle LJK

2) angle KJL

The marked angle can be named as angle LJK and angle KJL.

What is angle?

An angle is a corner whether constituting a projecting part or a partially enclosed space. It is a combination of two rays with a common endpoint.

How to name angles?

The angle can be named in two ways depending on the rays that are making angle.In our question the marked angle can be named as LJK and opposite if this KJL because it does not change the value of angles. Whether we start writing from one point to second point and from second point to first point. Main point is that the point at which the angle is formed comes in between both the points of rays.

Hence the marked angle can be named as angle LJK and angle KJL.

Learn more about angles at https://brainly.com/question/25716982

#SPJ2

Q- y = 7 is a line which is-(A) Parallel to y-axis (B) Parallel to x-axis (C) Passing through (7, 7) (D) Passing through origin​

Answers

Answer:

(B) Parallel to x-axis

Step-by-step explanation:

y = 7

This is a constant line, in which the value of y is always of 7, no matter the value of x.

In a line in which the value of y is constant, this line is parallel to the x-axis, so the correct answer to this question is given by option b.

Which is equivalent to 3V8^1/4x


BROO SM PLS HELP

Answers

Answer:

= 24 3/4x

Step-by-step explanation:

3* 8 1/4x

Here 8 1/4 is a mixed fraction.

Convert it to improper fraction

8 1/4 = 33/4

So, 3*33/4 x

99/4 x

= 24 3/4x

That is

Hope this will helpful.

gimmie brainlist :)

The third option: 12 times the root of 8^12.

EXPLANATION:
the third root of 8 is the same as 8 to the 1/3 power, so you’d have (8^1/3)^1/4x
Then you multiple the exponents together to get 8^1/12x, which is the same as the 12th root of 8 to the power of x.

what is the constant of proportionality in the equations 3y=2X?

Answers

Answer:

the coefficient of x is 2/3 which is the constant.

Find the missing side of the triangle and leave the answer in simplest radical form

Answers

Answer:

it would be radical 7

15 = x²+ 8

x²= 15 - 8

x²= 7 >>>>> radical 7 = x

Step-by-step explanation:

hope it helps

Answer:

x = √7.

Step-by-step explanation:

Using the Pythagoras theorem:

x^2 = (√15)^2 - (2√2)^2

x^2 = 15 - 8

x = √7.

Which is the graph of the system x + 3y > -3 and y < 1/2x + 1

Answers

Answer:

4th graph

Step-by-step explanation:

x + 3y > -3

3y > -x - 3

y > -(1/3)x - 1

Blue Line

y < 1/2x + 1

Orange Line

y- intercepts = -1 and 1

Can someone help me with this.
:)

Answers

For #2 just do Pythagorean theorem. That is 5²+h²=10²
25+h²=100
h²=75
h=sqrt(75)
Use a calculator to approximate the height

And I think it is irrational because square roots are not exact rational numbers

What is the explicit formula for this arithmetic sequence?
-10,-17, -24, -31, ...

Answers

Answer:

D

Step-by-step explanation:

The starting term is a1.

That's the very first term.

a1 = - 10

The second term = -17 which means that you added - 7 to - 10.

So d must be - 7

The formula must be

an = a1 + (n - 1)*d

an = -10 + (n - 1)(-7)

You might wonder why it is n - 1. The reason is because the first term is already added on the right side. The -1 means that we have already included the first term.

We should try the formula out to see what it does. Let's find a4

a4 = -10 + (4 -1)*-7

a4 = -10 + 3(-7)

a4 = -10 - 21

a4 = - 31 which is what the question suggests.

All swimming equipment is on sale with a 30% discount. A snorkeling set regularly sells
for $50. Find the discount.

Answers

Answer:

15

Step-by-step explanation:

50 * .30=15

what is the solution to the system of equations?

6x+2y=6

7x+3y=5

Answers

The answer is (2,-3)

Answer:

x = 2, y = -3

Step-by-step explanation:

6x + 2y = 6         (multiplying by 3)

18x + 6y = 18    -----> (i)  

7x + 3y = 5 (multiplying by 2)

14x + 6y = 10    -----> (ii)

Subtracting (i) from (ii)

18x + 6y - 14x + 6y = 18 - 10

4x = 8

x = 2

Substituting in (ii)

14x + 6y = 10

14(2) + 6y = 10

28 + 6y = 10

6y = -18

y = -3

Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the dot plots to choose the true statement.

dot plot titled Number of Golfers for Week 1 with number line labeled Age of Golfer, 1 dot at 62, 3 dots at 68, 1 dot at 69, 2 dots at 70, 3 dots at 72, 2 dots at 75, 1 dot at 76, 2 dots at 78, 3 dots at 80, and 2 dots at 89

dot plot titled Number of Golfers for Week 2 with number line labeled Age of Golfer, 2 dots at 62, 3 dots at 64, 3 dots at 68, 1 dot at 69, 2 dots at 70, 3 dots at 72, 2 dots at 75, 1 dot at 76, 2 dots at 78, 3 dots at 80, 2 dots at 85, 3 dots at 86, and 2 dots at 89

The range for Week 1 equals the range for Week 2.
The range for Week 1 is greater than the range for Week 2.
The median for Week 1 is less than the median for Week 2.
The mean for Week 1 is greater than the mean for Week 2.

Answers

Answer:

The median for Week 1 is less than the median for Week 2.

Triangle NJK is similar to triangle LMK by​

Answers

Answer:

B

Step-by-step explanation:

SAS cuz ML~NJ and K is common angle

What value of s makes the equation true?

Answers

Answer:

-17 =s

Step-by-step explanation:

-8s +4 = -7s +21

Add 8s to each side

-8s+8s +4 = -7s+8s +21

4 = s+21

Subtract 21 from each side

4-21 = s+21-21

-17 =s

Answer:

s = -17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

-8s + 4 = -7s + 21

Step 2: Solve for s

[Addition Property of Equality] Add 7s on both sides:                                   -s + 4 = 21[Subtraction Property of Equality] Subtract 4 on both sides:                        -s = 17[Division Property of Equality] Divide -1 on both sides:                                 s = -17

the answer to the question please

Answers

square: 1, 9
even: 2, 6, 8, 10, 12
both: 4

The perimeter of a rectangular vegetable patch is 56 meters. The area is 180 square meters.

Answers

Step-by-step explanation:

side length

a = 10 m

side length

b = 18 m

diagonal

p = q = 20.591260281974 m

perimeter

P = 56 m

area

A = 180 m2

Green paint is made by mixing yellow and blue. white paint in the ratio 2:7 . how much blue paint is needed to make 64 liters of green paint​

Answers

Answer:

Green paint is made by mixing blue, yellow and white paints in the ratio 2 : 7 : 1. How much blue paint is needed to make 64 litres of green paint? Therefore, the required blue paint = 12.8 litres

Step-by-step explanation:

How many quarters are there in 5 1
? ?
2​

Answers

Answer:

yes

Step-by-step explanation:

51 divided by 25

Find the value of x if necessary you may learn what the marking on a figure indicate

Answers

Answer:

Step-by-step explanation:

х
f(x)
18
6
What is the decay factor of the exponential function
represented by the table?
-1
0
1
2.
WINNO
o
O 2
O 2
O 6

Answers

Answer:

winno o 6

Step-by-step explanation:

Can you please help. Evaluate angles d and e, giving reasons for your answer. ​

Answers

Answer:

<d = 25 degrees and <e = 130 degrees

Step-by-step explanation:

We have a vertical angle, so the opposite sides of this angle are the same. This means that the angle opposite to 25 degrees also measures 25 degrees. We have one angle of the triangle. Since the triangle is isosceles, the angle d is the same as 25 degrees.

<d = 25 degrees

The interior angles of a triangle add up to 180 degrees, and we now have 2 angles, so:

<e = 180 - 25 - d

<e = 155-25

<e = 130 degrees

Answer:

<d = 25 degree and <e = 130 degree

Step-by-step explanation:

Let <d, <e and <f be the respective angles

<f = 25 degree (Vertically opposite angles are equal)

side fe = side ed (given)

Therefore, <f = <d (angles opposite to equal sides are equal)

Therefore, <d = 25 degree

<d + <e + <f = 180 degrees (Angle sum property)

25 + 25 + <e = 180

50 + <e = 180

<e = 180 - 50

<e = 130 degree

Therefore, <d = 25 degree and <e = 130 degree

Hope u understood

Please mark as brainliest

Thank You

A square has sides of length (2 a-b) metres. Write down an expression for the area of the square and simplify it​

Answers

Answer:

A = 4a² - 4ab + b²

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length ) , so

A = (2a - b)² ← expand using FOIL

   = (2a)² - 2ab - 2ab + (- b)²

   = 4a² - 4ab + b²

34. Find the mean for the following data X F 10 3 12 5 14 4 16 5 18 3​

Answers

Answer- 9 you have to add all the numbers together then divide but the amount of numbers there are

yo brainly bolws and 2+2 is 4

Answers

Answer:

chese

Step-by-step explanation:

Cheese is a dairy product, derived from milk and produced in wide ranges of flavors, textures and forms by coagulation of the milk protein casein. It comprises proteins and fat from milk, usually the milk of cows, buffalo, goats, or sheep. During production, the milk is usually acidified and the enzymes of rennet (or bacterial enzymes with similar activity) are added to cause the milk proteins (casein) to coagulate. The solids (curd) are separated from the liquid (whey) and pressed into final form.[1] Some cheeses have aromatic molds on the rind, the outer layer, or throughout. Most cheeses melt at cooking temperature.

Answer:

2+2=4

Step-by-step explanation:

Bro, u serious?

Mary has a rectangular driveway. She measures it and finds out it is 14 1/4 feet long by 17 1/2 feet wide. She wants to know how many square feet of paint she will need to completely cover the driveway.

Answers

Answer:

253.75 square feet

253 feet is the answer

Please help fast it’s subtraction

Answers

Answer:

17

220

Result in decimals: 0.077272727272727

Step-by-step explanation:

Answer:

[tex]7\frac{17}{220}[/tex]

Step-by-step explanation:

[tex]9\frac{8}{11} -2\frac{13}{20}=\\[/tex]

[tex]9\frac{160}{220} -2\frac{143}{220}=[/tex]

[tex]=7\frac{17}{220}[/tex]

Hope this helps

Mary took 8 tests in science and received the following scores: 87,60,76,92,63,91,88,75

Answers

Answers:

mean = 79mode = nonemedian = 81.5

=================================================

Explanation:

To get the mean, you add up the numbers and then divide by n = 8, since there are 8 scores

Adding the scores gets us: 87+60+76+92+63+91+88+75 = 632

Divide that over n = 8 to get 632/n = 632/8 = 79

The mean is 79

You have the correct answer. Nice work.

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

The mode is the most frequent value.

In this data set, we don't have any repeated values. Each unique number is listed one time only. So that tells us we don't have a mode here.

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

To get the median, we need to sort the items from smallest to largest

{87,60,76,92,63,91,88,75} sorts to {60,63,75,76,87,88,91,92}

Because we have n = 8 values, which is an even number, this tells us that the median is between slot n/2 = 8/2 = 4 and slot 5

The values 76,87 are in slots four and five in that order. Add them up and divide by 2:  (76+87)/2 = 163/2 = 81.5 is the median

please help it asks: the graph below represents which of the following functions

Answers

Please comment with a picture of the graph!

A room has a length of 12 metres and width of 5 metres. What is the area of the room?
Working out please

Answers

Answer:

60 sq.m

Step-by-step explanation:

Given,

Length of the room = 12m

Width of the room = 5m

Therefore,

Area of the room = l × w

= 12m × 5m

= 60 sq.m (Ans)

Una escalera de 10 metros de longitud esta apoyada sobre la pared. El pie de la escalera dista 6 metros de la pared. ¿ que altura alcanza la escalera sobre la pared?

Answers

Answer:

The height reached by the ladder is 8 m.

Step-by-step explanation:

A 10 meter long ladder is leaning against the wall. The foot of the ladder is 6 meters from the wall. What height reaches the ladder on the wall?

Length of ladder, L = 10 m

foot of ladder, D = 6 m

Let the height reached is H.

[tex]L^2 = D^2 + H^2\\\\10^2 = 6^2 + H^2\\\\100 - 36 = H^2\\\\H = 8 m[/tex]

What is the volume of the following cylinder? Do not round your answer. (Use 3.14 for π.)



volume = ____yd3

Answers

Answer: 1696.46003yds^3

Hope this helped!! Have a nice day :))

Answer: 1962.5

Step-by-step explanation:  Just did this question it's right hope this helps

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