The length of a rectangle is $3x+10$ feet and its width is $x+12$ feet. If the perimeter of the rectangle is 76 feet, how many square feet are in the area of the rectangle?

Answers

Answer 1

Answer:

352ft²

Step-by-step explanation:

Given the length of a rectangle = 3x+10

Width of the rectangle = x+12

Perimeter of the rectangle = 76ft

For us to get the area of the rectangle we need to get the value of its length and width.

Given the perimeter of a rectangle P = 2(L+W) where;

L is the length and W is the width, on substitution

76 = 2(3x+10+x+12)

76 = 2(4x+22)

76 = 8x+44

8x = 76-44

8x = 32

x = 32/8

x = 4

Substituting x = 4 into the function of the length and width we have;

Length = 3(4)+10

Length = 22feet

Width = 4+12

width = 16feet

Area of the rectangle = Length * Width

Area of the rectangle = 22feet * 16feet

Area of the rectangle = 352ft²


Related Questions

Is triangle a parallelogram

Answers

Answer:

no

Step-by-step explanation:

Answer:

No, a parallelogram means that the opposite sides don't meet (are parallel), so a triangle isn't. A triangle has only three sides, and they all meet up.

Step-by-step explanation:

Charlene has a monthly salary of $3,410. With her present budget, Charlene has a net income that is 7% of her monthly salary. Charlene is going to reduce her net income by $125 each month and put this money towards paying down her debt. What will Charlene’s new net income be?

Answers

Answer:

A. $113.70

Step-by-step explanation:

The new net income of Charlene is $113.7 if Charlene has a monthly salary of $3,410. With her present budget, Charlene has a net income that is 7% of her monthly salary.

What is debt?

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

Charlene net income = 7% of her monthly salary

Charlene net income = 3410(7/100) = $238.7

After paying the $125 from the net income:

= 238.7 - 125

= $113.7

Thus, the new net income of Charlene is $113.7 if Charlene has a monthly salary of $3,410. With her present budget, Charlene has a net income that is 7% of her monthly salary.

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Give f(x) = 5x + 7, what is the value of f(12)?

Answers

Answer:

The 12th Term is 67.

Two number cubes are rolled sequentially. What is the probability that the first number cube shows a Four and the second number cube shows an odd number?

Answers

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

This is an independent event probability problem , that is the first event does not affect the occurrence of the second event.

The sample space of the first die is S1= {1,2,3,4,5,6}

The sample space of the second die is S2= {1,2,3,4,5,6}

1. the probability that the first number cube shows a Four  pr (4)= [tex]\frac{1}{6}[/tex]

2. the probability that the second number cube shows an odd number=

odd numbers in the sample space are 1,3,5= 3

pr(odd) [tex]= \frac{3}{6} = \frac{1}{2}[/tex]

For the two event to happen the probability is = [tex]\frac{1}{6}*\frac{1}{2}=\frac{1}{12}[/tex]

PLEASE HELP!!!!!!!!!!!!!!

Answers

Answer: A - one solution, B - Infinite solutions, C - no solutions

Step-by-step explanation:

Solutions of linear equations are any points at which both lines intersect. The point of intersection provides a point that lies on both lines and satisfies both equations - hence why it is called a "solution" to the system of equations.

In the first diagram, the lines intersect once. There is only one solution to this system of equations at (2, 4).

In the second diagram, the lines are identical. They intersect for any possible value, meaning it has infinite solutions.

In the third diagram, the lines are parallel. They will stretch to infinity without ever intersecting each other, so this system has no solution.

Find the cordinates of point A.
Find the cordinates of point C.
Plot point B.
plzz helppp

Answers

Answer:

A=(1,4) B=(-3,4) C=(-3,-1)

Step-by-step explanation: Point B will be plotted in the top left box. You start at 0 and go to your left 3 boxes then you go up one box.

HELPPPPP URGENTT!!!!!!!!!!

Answers

Answer:

1/2

Step-by-step explanation:

P( senior or drives to school) = number of seniors or drives to school / total

35 seniors + 40 drivers - 25 seniors who drive = 50

We do not count the seniors who drive twice

P( senior or drives to school) = number of seniors or drives to school / total

                                                = 50/100

                                                = 1/2                                              

Select the correct answer. Lisa creates a scatter plot of the number of minutes she runs on the treadmill and the calories she burns. About how many more calories does she burn for every additional 5 minutes on the treadmill? A. 10 B. 25 C. 50 D. 100

Answers

Answer:

Option: C 50

Step-by-step explanation:

the scatter plot shows an increase of about 50

Answer:

50 :)

I know its a lot the hair the bod, when ur starin at a demi god, what can i say except ur welcome

Find the scale factor of a cube with volume 216 ft^3 to a cube with volume 1000 ft^3.

Answers

Answer:

Scale factor of  cube to the smaller cube is 5 : 3.

Step-by-step explanation:

Ratio of the volumes of two cubes = [tex]\frac{\text{volume of large prism}}{\text{Volume of small prism}}[/tex]

                                                          = [tex]\frac{1000}{216}[/tex]

                                                          = [tex]\frac{125}{27}[/tex]

Scale factor of these cubes = [tex]\sqrt[3]{\text{ratio of the volumes of the cubes}}[/tex]

                                              = [tex]\sqrt[3]{\frac{\text{volume of large prism}}{\text{Volume of small prism}}}[/tex]

                                              = [tex]\sqrt[3]{\frac{125}{27} }[/tex]

                                              = [tex]\frac{5}{3}[/tex]

                                              = 5 : 3

Therefore, scale factor of  cube to the smaller cube is 5 : 3.

a circular garden is surrounded by a rectangular grassy area. the garden takes up nearly half the grassy area. the base of the grassy area is 6 yards by 3 yards.

use the base of the grassy areas to find the approximate area of the circular garden. use pi =3.14. if necessary, round to the nearest tenth.

-4.7 yd
-7.1 yd
-9.4 yd
-28.3 yd

Answers

Answer:

B 7.1 yd

Step-by-step explanation:

The approximate area of the circular garden is 7.1 square yards. Therefore, option B is the correct answer.

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, the base of the rectangular grassy area is 6 yards by 3 yards.

A circular garden is surrounded by a rectangular grassy area.

Here, diameter of a circular garden is 3 yards and the radius is 1.5 yards.

We know that, area of a circle is πr²

The area of circular garden is 3.14×1.5²

= 3.14×2.25

= 7.065

≈ 7.1 square yards

Therefore, option B is the correct answer.

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When you are finding the area of a shape.
why do you square the units?

Answers

Answer:

Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches.

Step-by-step explanation:




Jonathan replaced the original factory tires (P220/65 R 18) on his pickup truck with (P255/60 R 17) tires. Calculate the circumference of Jonathan’s ORIGINAL tires. Explain your results

Answers

Answer:

92 inches

Step-by-step explanation:

When a tire's size = P220/65 R 18, it means that:

the rim is 18 inches wide (or 457 millimeters)the width of the tire is 8.7 inches (or 220 millimeters)the sidewall of the tire is 5.65 inches (or 144 millimeters)the 65 shows the relationship between tire width and sidewall (65%)

the total diameter of the tire = 5.65 + 18 + 5.65 = 29.3 inches

the circumference = 2 x π x radius   or   diameter x π = 29.3 x 3.141592 = 92 inches

Answer:

The circumference of Jonathan’s original tire is 92 inches.

Tia performed an experiment where she flipped a coin 200 times. The coin landed heads up 92 times and tails up 108 times. Which statement about this experiment is true?

Answers

Question:

Tia performed an experiment where she flipped a coin 200 times. The coin landed heads up 92 times and tails up 108 times. Which statement about this experiment is true?

A) The ratio 92/200 represents the experimental probability of the coin landing heads up in this experiment.

B) The ratio 92/200 represents the number of trials in this experiment.

C) The ratio 92/100 represents the theoretical probability of the coin landing heads up in this experiment.

D) The ratio 92/100 represents the number of occurrences of the coin landing heads up in this experiment.

Answer:

A) The ratio 92/200 represents the experimental probability of the coin landing heads up in this experiment.

Step-by-step explanation:

Given that the number of times, n, Tia flipped a coin is 200 times, heads and tails landed 92 and 108 times respectively.

ie, n = 200

E(Head) = 92

E(Tail) = 108

Let's calculate the following probabilities:

Probability the coin landed heads =

P(H) = [tex] \frac{num of heads}{total num} = \frac{92}{200} = 0.46 [/tex]

Probability the coin landed tails =

P(H) = [tex] \frac{num of tailss}{total num} = \frac{108}{200} = 0.54 [/tex]

Here, the experimental probability of an event can be derived using:

Number of favourable events / total number.

The expermental probability of the coin landing heads up would be:

Number of heads / total number

[tex] = \frac{92}{200} [/tex]

Therefore the correct option is option A.

The ratio 92/200 represents the experimental probability of the coin landing heads up in this experiment.

Answer:

A is the answer

Step-by-step explanation:

Please mark brainiest please

Can you please help me with the problems shown, and please show the work

Answers

Answer:

hope this helps you

...............

El tema es de polinomios

Answers

Answer:

Tu imagen no es muy clara, así que no puedo entenderla.

Step-by-step explanation:

find the distance from point A to the given line
A(3,4), y=x

Answers

Answer:

Square root of 13

Step-by-step explanation:

If y=x, that means that we can use any coordinates as long as it is true. I will use (1,1)

The distance formula is the square root of (x2-x1)^2+(y2-y1)^2

(3-1)^2=4

(4-1)^2=9

4+9=13

=Square root of 13

Mandy built a pyramid for her project on Egypt with a volume of 483 4 in.3 Find the area of the base of the pyramid. Check all that apply. A pyramid with height 6 inches. Use the formula V = one-third B h to solve the problem. The volume of the pyramid is 48 and three-fourths in.3 The height of the pyramid is 6 inches. Substitute the values for V and h into the formula, and then solve for B. The area of the base of the pyramid is 8 and StartFraction 1 over 8 EndFraction in.2 The area of the base of the pyramid is 24 and StartFraction 3 over 8 EndFraction in.2

Answers

Answer:

- Substitute the values for V and h into the formula, and then solve for

- The area of the base of the pyramid is 24 and StartFraction 3 over 8 EndFraction in.2

Step-by-step explanation:

Given the volume of the pyramid = 1/3 Bh

B is the area of the base

h is height

Given Volume = 48 3/4in³

Height = 6in

Step 1:

Substituting the value of Volume and height into the equation to get the Base area B we have;

48 3/4 = 1/3 × B × 6

2B = 195/4

B = 195/8

B = 24 3/8 in²

The base area of the pyramid is

24 3/8 in²

Answer:

A B C D F

Step-by-step explanation:

Use the formula V = one-third B h to solve the problem. The volume of the pyramid is 48 and three-fourths in.3 The height of the pyramid is 6 inches.Substitute the values for V and h into the formula, and then solve for B

   6.The area of the base of the pyramid is 24 and StartFraction 3 over 8 EndFraction in.2

took the Instruction on edge 2021

A triangle has a base of 4 units and a height of 3 units. Mark draws the triangle again but
doubles the height. How does the area of the triangle change?
The area increases by 3 square units.
The area increases by 6 square units.
The area increases by 12 square units.
The area does not change.

Answers

Answer:

The area increases by 6 square units.

Step-by-step explanation:

The original  area of triangle

A = 1/2 bh

a = 1/2 (4)*3

6 square units

Now we double the height

A = 1/2 (4) *6

A = 12 square units

The difference is 12-6 = 6  square units

Answer:

Second option: The area increases by 6 square units.

Step-by-step explanation:

A1 = ½ × 4 × 3 = 6 units²

A2 = ½ × 4 × 2(3) = 12 units²

Increase: 12 - 6 = 6 units²

Adam drove 280 miles in 4 hours. On average, how fast did he drive in hours per
mile? Express your answer in simplest form.

Answers

Answer:

70 mph

Step-by-step explanation:

Find the unit rate, which is "miles per hour."

280 miles

--------------- = 70 mph

   4 hours

70 mph

4 hours/280 miles

1 hour/70 miles

A sector with a radius 18 cm has an area of 234 pie cm2? What is the central angle measure of the sector in degrees

Answers

Answer:

260 degrees.

Step-by-step explanation:

Attached is the work to your problem.

Please see the attachment, it includes explanations and the algebraic process.

I hope this helps.

Which of these triangle pairs can be mapped to each other using both a translation and a rotation about C?

Triangles X Y C and A B C are shown. Both triangles are congruent and share common point C. Triangle A B C is slightly lower than triangle X Y C.
Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is identical to triangle A B C but is slightly higher.
Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is reflected across a line to form triangle A B C.
Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is rotated down and to the left to form triangle A B C. It is also slightly higher than triangle A B C.

Answers

Answer:

Its D

Step-by-step explanation:

Took the test.

Based on the information given regarding the triangle, the triangle pairs can be mapped to each other will be D. Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is rotated down and to the left to form triangle A B C. It is also slightly higher than triangle A B C.

Solving the triangles.

It should be noted that a translation is a slide, and this implies that the function has the same shape graphically, but on the other hand, the graph of the function slides to a different position on the coordinate plane.

In this case, the triangle pairs can be mapped to each other using both a translation and a rotation about C. Therefore, the correct option is D.

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Solve and graph the inequality 4x – 10 < 18.

Which of the following are true about the graph of the solution? Check all that apply.
The graph has an open circle at 2.
The graph has a closed circle at 2.
The graph has an open circle at 7.
The graph has a closed circle at 7.
The arrow points left.
The arrow points right.

Answers

9514 1404 393

Answer:

The graph has an open circle at 7.The arrow points left.

Step-by-step explanation:

Adding 10 and dividing by 4, we have ...

  4x < 28

  x < 7

The comparison does not include the "equal to" case, so the circle at x=7 is open. Values of x less than 7 are in the solution set. Those values are found to the left of 7 on the number line.

The graph has an open circle at 7.The arrow points left.

Answer:

C. The graph has an open circle at 7.

and

E.The arrow points left.

Step-by-step explanation:

i took the quiz and got it right

Identify the numerical coefficient of the terms (other than the constants) in the following expressions. (a)5x - 6 (b) 6-4g2 (c) 2x2+4y3 (d) -29y3+0ꓸ1z-3.14

Answers

Answer:

HELP YOU NOY

Step-by-stHEep explanation:

bfbfbbgbrhgbrbg

need help pleeassseeee !!

Answers

Answer: 5

Step-by-step explanation: f(3) = 2x - 1

substitute the x with 3. 2(3)-1

6-1

5

Answer:

The answer is 5, hope you like!

Please Help
What are the domain and range of the function? f(x)=3/5x^5
Domain: (−∞, 0)∪ (0, ∞) Range: (0, ∞)
Domain: (−∞, 0)∪ (0, ∞) Range: (−∞, 0)
Domain: (−∞, ∞) Range: ​(−∞, 0)​
Domain: ​(−∞, 0)∪ (0, ∞)​ Range: (−∞, 0)∪ (0, ∞)

Answers

Answer:

Domain: ​(−∞, 0) ∪ (0, ∞)​; Range: (−∞, 0) ∪ (0, ∞)

Step-by-step explanation:

See attachment.

We want to find the domain and range of the function [tex]f(x)=\frac{3}{5} x^5[/tex].

The domain is the set of all possible x-values that are included in the function, while the range is the set of all possible y-values that are included in the function.

Look at the graph.

We can see that the x-values can go into infinity except when approaching the line x = 0. Here, the function will never touch x = 0 because that would make the graph undefined. So, we can say that the domain is all real numbers except for x = 0, or ​(−∞, 0) ∪ (0, ∞).

It's the same thing with the y-values. Although it looks like the line is touching the y-axis, or the line y = 0, the graph actually is not - it's just going really close to it. So, the range is again ​(−∞, 0) ∪ (0, ∞).

Thus, the answer is D.

Answer:

Last one

Domain: ​(−∞, 0)∪ (0, ∞)​ Range: (−∞, 0)∪ (0, ∞)

Step-by-step explanation:

f(x) = 3/(5x⁵)

Since x is in the denominator, x can not be 0

Domain: all real values of x except 0

For y = 0, x has to be infinite therefore y can not be 0

Range: all real values except 0

Please help meee!!! I'll give brainliest

Answers

Answer:

3/10

Step-by-step explanation:

Out of 20 draws, 6 of them were pink balls. 6/20 simplifies to an experimental probability of 3/10, or answer choice C. Hope this helps!

A bag contains 4 red marbles, 3 white marbles, and 7 blue marbles. You pick a marble without looking. What is the probability of drawing a white marble.

Answers

Answer:

3/14

Step-by-step explanation:

You add all the marbles to get your total/denominator then take the white marbles and that is the numorator.

A bag contains 3 blue cards, 8 green cards, 12 red cards, and 4 yellow cards. You randomly choose a card.

Answers

Answer:

3/27 for blue 8/27 green and 4/ 27 yellow for red its 12/27 to find the percent divide both numbers the smaller first  

Step-by-step explanation:

Please help me I don't understand this question.

Answers

Answer:

206°

I realise that I didn't do it the easiest way. :(

Step-by-step explanation:

So first find angle XCY.

XCY = 180 - 72 - 26 = 82°

Then you can see that angle WCR is 154° because of vertical angles.

Arc RW is 154° too because WCR is a central angle.

Arc ZW is 26° because WCX is a central angle.

All we have to find now is angle ZCR.

You can see that ZCR and XCW are vertical angles.

ZCR = 26°

Arc ZR is also 26° because ZCR is a central angle.

154° + 26° + 26° = 206°

What is the measure of JKL? A. 60° B. 80° C. 110°D. 120 from edge 2020

Answers

Answer:

If its from the Ed assignment, it would be D. 120. Though this is a late reply.

The value of the measure of JKL is,

⇒ ∠ JKL = 120°

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In the triangle JKH is,

∠ JHK = 24°

∠ HJK = 96°

Hence, We can formulate;

⇒ ∠ JKL = ∠ JHK + ∠ HJK

Substitute the given values we get;

⇒ ∠ JKL = 24° + 94°

⇒ ∠ JKL = 120°

Thus, The value of the measure of JKL is,

⇒ ∠ JKL = 120°

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