The length of a rectangle is 2m longer than its width.
If the perimeter of the rectangle is 24m , find its area.

Answers

Answer 1

Answer:

35m

Step-by-step explanation:

length = 2+w

width = w

Perimeter = 2(length)+2(width)

24 = 2(2+w)+2(w) =  4+2w+2w = 4+4w

24=4+4w

4w=20

w=5

width =5

length = 2+5 = 7

Area = (length)(width) = 5(7) = 35m


Related Questions

A swim team ordered 36 jackets that each cost the same amount. The total cost of the order was $1,116. Let c be the cost of each jacket. How much did each jacket cost? Choose the equation that represents this problem.

A) 1,116 * c = 36
B) c = 1,116 * 36
C) 1,116/36 = c (1,116 divided by 36 equals c)
D)c = 36/1,116 (c equals 36 divided by 1,116)

Answers

Answer:

C

Step-by-step explanation:

1116 / 36 = 31

hope this helps

Answer:

C ,1,116/36 = c (1,116 divided by 36 equals c)

Step-by-step explanation:

Hope this helps!

write 7/81 as a percentage

Answers

answer is .7 .81 l think

help ༎ຶ‿༎ຶ i dont get it​

Answers

Answer:

Step-by-step explanation:

You know the lengths of two sides and the angle between them, so use the Law of Cosines to find the third side.

x^2 = 10.5^2+ 5.4^2 -2(10.5)(5.4)cos20°

x ≈ 5.73 units

Answer:

[tex] \underline{ \boxed{x = 5.7}}[/tex]

Step-by-step explanation:

[tex]its \: simple \: and \: easy \ \: : \: if \: you \: apply \: the \: cosine \: rule \to \\ {x}^{2} = {(10.5)}^{2} + {(5.4)}^{2} - 2(10.5)(5.4) \cos(20) \\ {x}^{2} =( 110.25 +29.16 ) - (113.4)( \cos(20)) \\ {x}^{2} = 139.41 - 106.5611432 \\ {x}^{2} = 32.8488568 \\ x = \sqrt{32.8488568} \\ x = 5.7313922218 \\ \boxed{x = 5.7}[/tex]

Plz help me with this Im timed will mark as brainliest

Answers

Answer:

It seems like John is trying to find the mean, or average.

Green is 82

blue is 320

red is 4

Step-by-step explanation:

82 is the score John must get to have the average of 80

320 is the number you must divide by 4 to get 80

5x - 4=46 two step equations

Answers

Answer:

x=10

Step-by-step explanation:

5x-4=46

+4. +4

5x=50

x=10

Answer:

x = 10

Step-by-step explanation:

5x = 46 + 4 = 50

x = 50 / 5 = 10

x = 10

hope u find this helpful :)

The sum of the measures of three adjacent angles is 150' The measures of the angles are in the ratio of 1:2:3. What is the measure, in degrees of the
largest angle?
The measure of the largest angle is
degrees

Answers

Answer:

It is a 30, 60, 90 triangle.

Step-by-step explanation:

Hence, the measure of the largest angle is degrees is [tex]5[/tex] degree, [tex]10[/tex] degree and [tex]15[/tex] degree and the largest angle is  [tex]15[/tex] degree.

What are the angles?

Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint. The point at which the two rays meet (intersect) is called the vertex.

Here given that,

The sum of the measures of three adjacent angles is [tex]150[/tex] degree. The measures of the angles are in the ratio of [tex]1:2:3.[/tex]

Let one angle is [tex]x[/tex], second is [tex]2x[/tex] and the thirs one is [tex]3x[/tex].

As given that the sum of three angles is [tex]150[/tex] degree but we know that the sum of three angles is [tex]180[/tex] degree then,

[tex]x+2x+3x=180-150\\\\x+2x+3x=30\\\\6x=30\\\\x=\frac{30}{6}\\\\x=5[/tex]

when

[tex]x=5\\\\2x=2(5)\\\\2x=10[/tex]

when

[tex]x=5\\\\3x=3(5)\\\\3x=15[/tex]

Hence, the measure of the largest angle is degrees is [tex]5[/tex] degree, [tex]10[/tex] degree and [tex]15[/tex] degree and the largest angle is  [tex]15[/tex] degree.

To know more about the angles

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Rewrite 4/5 using fifteenths

Answers

Answer:

12/15

Step-by-step explanation:

The fraction of 4/5 using fifteenths is 10/9.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

4/5 using fifteenths

We have to convert the denominator in 15.

So, multiplying the fraction by 3/3

Then, 4/5 x 3/3 = 12 / 15

Hence, the fraction of 4/5 using fifteenths is 10/9.

Learn more about fraction here:

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A student conducts a survey on the eye color of a group of ninth-graders and then randomly selects a ninth-grader. Compare the experimental probability of choosing a ninth-grader with blue eyes to the experimental probability of choosing a ninth-grader with hazel eyes.


Eye Color Blue Brown Green Hazel
Number 37 62 13 15

Answers

Answer:

Hazel is 1 out of 8.46

Blue is 1 out of 3.43

Step-by-step explanation:

total number=37+62+13+15=127

Blue is 37 out of 127

Probability is 1 out of 3.43

Hazel is 15 of 127

Probability is 1 out of 8.46

the diagram shows a circle drawn inside a square 12cm the circle touches the edges o the square. calculate the shades area. take pi to be 3.142 and write down all the digits given by your calculator.

Answers

Answer:

30.89cm³

Step-by-step explanation:

Given that:

Side length, s of square = 12cm

Area of square = s² = 12² = 144cm²

Since the circle touches the edge of tbe square, then the diameter of the circle = side length of square = 12 cm

Area of a circle = πr²

Radius, r = diameter / 2 = 12/2 = 6cm

A = 3.142 * 6^2

A = 3.142 * 36

A = 113.112 cm²

Area of shaded portion = area of square - area of circle

= 144cm² - 113.112cm³

= 30.89cm³

Find the range of the function y=1/2x-3 if the domain is {-2, 0,4}
A. {-7, -3, 5}
B. {-4, -3, -1}
C. {1, -3, 4-11}
D. {-2, -3, -5}

Answers

Answer:

i think it is B

Step-by-step explanation: don't ask for an explanation cuz i wont give one

If 4 people want to share a 15-pound sack of rice equally by weight, how
many pounds of rice should each person get?

(PLS HURRY UP)

Answers

3.75 pounds because all you have to do is divide 15 by the amount of people there is

What is the answers to this problem? Please help!!

Answers

Answer:

a = 31.7

c = 39.1

Step-by-step explanation:

tan54 = a / 23

a = 23 * tg54

a = 31.7

sin54 = 31.7 / c

c = 31.7 / sin54

c = 39.1

:)

Select all true statements for the triangle shown.
D
11
sin(E)=
185
1185
11
11
sin(B) =
8
8
sin(D) =
J185
E
F
8
8
sin(D)=
11

Answers

Answer:

Hope this help

Step-by-step explanation:

The correct options are (1) and (3)

What are trigonometric ratios?

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given that, a right triangle Δ DEF,

We know that the sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.

Therefore, If D is the reference angle then, sinD = 8/√185

and B is the reference angle then, sinB = 11/√185

Hence, The correct options are (1) and (3)

For more references on trigonometric ratio, click;

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please help! i have 5 mins to turn in!!! thanks :)

Answers

ACUTE llqlalakaksjjsjajajsjs
It is an acute angle

Help me with this question please

Answers

Answer:

15

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

If 9 cups of water is for 6 of lemon juice, and it will stay on this continuous path then 2x9= 18 cups of water for 2x6 lemon juice which makes it 12.

Find the 99th term of the sequence: -56, -59, -62, -65.

Answers

Answer cinco negátive I tink

Which data collections show bias? Check all that apply

Answers

Answer:

Those answers are correct that are shown and that are shown in blue

Step-by-step explanation:

All the ones in the blue are correct

Write down the exact value of sin 60°
3099
2
V3
160°

Answers

Answer:

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex]

The length of a triangle is 1 1/8 cm longer than the width. The perimeter is 13 1/4 cm. What are the width and length of this triangle?

Answers

Answer: See explanation

Step-by-step explanation:

I think your question should be a rectangle and not a triangle. A triangle has 3 sides and not 2 sides. In order to solve the question, I'm assuming that you wanted to write rectangle.

Note that the perimeter of a rectangle:.= 2(length + breadth)

Let the width be x

Since the length is 1 1/8 cm longer than the width, therefore, the length is 1 1/8 + x.

Therefore, perimeter = 2(1 1/8 + x + x) = 13 1/4

2(1 1/8 + 2x) = 13 1/4

2 2/8 + 4x = 13 1/4

2 1/4 + 4x = 13 1/4

4x = 13 1/4 - 2 1/4

4x = 11

x = 11/4

x = 2 3/4

Therefore, the width is 2 3/4cm

Length = 2 3/4 + 1 1/8

= 2 6/8 + 1 1/8

= 3 7/8cm

which ratio is equal to 7/
8?

Answers

14/16, or 3.5/4! There are quite a few.

3789 divided by 21, I need help.

Answers

Answer:

3789/21

=180.4...............

the answer is 180.4285714285714

One root of a third degree polynomial function f(x) is –5 + 2i. Which statement describes the number and nature of all roots for this function?

Answers

Given :

One root of a third degree polynomial function f(x) is –5 + 2i.

To Find :

The number and nature of all roots for this function.

Solution :

We know, there are exactly three roots in any third degree polynomial.

Also, we know complex roots always comes in pair i.e. the other root is the conjugate of each other .

So, other root is , -5 - 2i .

Also, since complex roots come in conjugate pair. So, third root cannot be complex.

Therefore, 2 roots are complex and 1 is real.

Answer:

f(x) has two imaginary roots and one real root.

Step-by-step explanation:

B on edge.

can someone see and answer this

Answers

Answer:

I can’t see the picture well please make it more detailed

Step-by-step explanation:

Answer: Its A

explanation:

Im good at math

Can i have brainliest please?

Graph the linear function q(x)=-3x

Answers

Answer:

Step-by-step explanation:

(I want real answers, if you give me a STEP BY STEP answer I'll give brainlyest)Solve each system of equations algebraically.
1.y=2x-3
x+y=18
2.y=x+12
4x+2y=27
3.Elaine bought a total of 15 shirts and pairs of pants. She bought 7 more shirts than pants. How many of each did she buy.

Answers

Answer:

Step-by-step explanation:

1) Make it so that it's easy to solve

3 = -y +2x

18 = y + x (the y cancels out)

21 = 3x (divide both sides by 3 to isolate x)

x = 7 (then you can plug in x and then solve for y)

2) Again, make the problem easy to read  

12 = -x + y

27 = 4x + 2y (get rid of either x or y. I am going to get rid of x by multiplying the top equation by four)

48 = -4x + 4y

27 = 4x + 2y  (x is canceled out)

75 = 6y (divide both sides by 6 to isolate y)

12.5 = y (then plug in y to find x)

3) 15 = (7 + p) + p -----------------> p represents pants and (7 + p represents shirts because she bought 7 plus pants of shirts)

15 = 7 + 2p

8 = 2p (isolate p by dividing by 2)

p = 4

- Elaine bought 4 pants and 11 shirts.

In the comments, let me know if you need a further explanation.

Proove that triangle XYZ is congruent to triangle ZWX​

Answers

Answer:

in the two triangles WXZ and XYZ we have:

●YXZ=XZY(given)(THESE ARE ANGLES)

●WZX=ZXY(given)(THESE ARE ANGLES)

●(XZ) common side

so the 2 triangles are congruent by ASA(ANGLE SIDE ANGLE).

Step-by-step explanation:

hope this helped and there is another way by proving the quadrilateral a parallelogram but it's longer and harder tell me if u want me to explain it to you

Answer: if you are on khan academy, which you are, here’s the real answer.

Step-by-step explanation:

Sydney read 170 pages in 25 minutes she reads a constant rate how many pages can sydney read per minute (find the rate)

Answers

Answer:

She reads 6.8 pages per minute.

Step-by-step explanation:

170 divided by 25 = 6.8

what is the value (total) of 14+10+(-14)

Answers

Answer:

10

Step-by-step explanation:

14+10=24-14=10

Answer: 10

Step-by-step explanation: 14 + 10 = 24 + (-14) = 10

what is the square root of 49

Answers

7 is the square root of 49

Answer:

7

Step-by-step explanation:

√49 = 7

7² = 49

7 × 7 = 49

hope this helps...

Which of the following equations have exactly one solution?
Choose all answers that apply:
A
- 6x – 15 = 6x + 15
B
6x + 15 = 6x + 15
62 - 6 = 15.2 + 15
D
62 - 6 = 60 - 15

Answers

The answer for this equation is pretty easy it a and b

Answer:

The answer is B

Step-by-step explanation:

I got this answer from Khan Academy.

Hope this helps! :)

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