I need help:
The width of this rectangle is 1/3 of the length. Find the length and the width of the rectangle.

I Need Help: The Width Of This Rectangle Is 1/3 Of The Length. Find The Length And The Width Of The Rectangle.

Answers

Answer 1

Answer:

3(y-4) =2y+6

3y - 12 = 2y +6

y = 18

so length is 42 in.

width is 14 in.

Answer 2

After solving the given equations, the length of the rectangle is 42 inches and the width of the rectangle is 14 inches.

What is an equation?

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

The given data in the question,

According to the given diagram,

Length of the rectangle, L = 2y + 6 inches    (i)

Width of the rectangle, W = y - 4 inches   (ii)

The width of the rectangle is 1/3 of the length,

1/3(2y + 6) = (y - 4)

2y + 6 = 3y - 12

y = 18.

Substitute y = 18 in equation (i)

L = 2(18) + 6

L = 42 inches

Substitute y = 18 in equation (ii)

W = (18 - 4)

W = 14 inches.

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Related Questions

A is a quadrilateral with two sets of parallel sides and 4 right
angles

Answers

Answer:

If you are asking for the type of quadrilateral, then it could be a rectangle or a square.

Mr.O'Connor had $90 to spend at a football game. He spent 31/45 on his ticket. Then, he spent 3/7 of his remaining money at the concession stand. While walking back to his seat, he saw a new hat on sale for $18. Did Mr. O'Connor have enough money left to buy the hat?

I am not sure what to do.

Answers

Answer:

no

Step-by-step explanation:

he starts with 90 bucks to find what the fraction represents you can multiply it by 2 to get an equal denominator of 90 then subtract 90-62 that'll give you 28 then it says he spent 3/7 so you do the same thing get an equal denominator by multiplying by 4 and get 28 and as they say whatever you do to the denominator is done to the numerator so 3 times 4 is 12 then you do 28-12 and you gets 16 which isn't enough to buy the hat. :)


For approximately what period of time does the Moon stay in the sky a week after the full-moon day?

A) 12 hours after sunset
B) 12 hours after midday
C) 12 hours after midnight
D) 12 hours during sunrise

Answers

Twelve hours after midnight

Answer:

C 12 hours after midnight

Step-by-step explanation:

I just answered this question

Someone pls help me with this question I’ll mark as brainliest

Answers

Answer:

A.

Step-by-step explanation:

The ball height goes from 3 to 7 in 2 seconds.

7-3=4

4/2 is 2.

Therefore A. is correct.

4. Suppose Tyler sprayed around the house for ants. Which formula would be used to find the number of ants still alive after a certain time if the number of ants was changing exponentially?

A. exponential decay
B. exponential growth
C. compound interest
D. cannot be determined from given information

I’m giving as much points as I can please help I need this right now

Answers

Answer:

I think that the answer is A.

Step-by-step explanation:

are there whole numbers that are not rational numbers.

Answers

All negative integers are rational numbers but those are not whole numbers. For example -3 is a rational number (can be expressed as -3/1), but it is not a whole number. The fractions like 1/2, -3/4,22/7 etc. are rational numbers, but these are not whole numbers.

Please help me answer this question

Answers

Answer:

C

Step-by-step explanation:

Your slope (m) is 1 and your y-intercept (b) is -9

y = mx + b

y = x - 9

f(x) also means y

Please make my answer the brainliest if its helpful

The answer should be C

How do I find X? I have to show work as well.

Answers

Answer:

d

Step-by-step explanation:

Answer:

YOU FIND X BY     CAN U MARK ME AS BRAINLIEST????

Step-by-step explanation:

MULTIP[LYING ALL OF THE SIDES AND NUMBERS THEN THAT IS YOUR ANSWER

What is the mean for the data set?

{39, 43, 46, 86, 22, 39, 75}

Drag and drop the correct answer into the box.

mean ASAP














Answers

The answer is 50. You add all of the numbers in the data set, and divide it by the number of numbers in the data set. the sum of all of the numbers is 350, divide that by 7( the amount of numbers in the data set) and you get 50

What is the length of each leg of the triangle below?

Answers

Answer: answer is f

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

3.4.3

Factor completely 3x^2+33x+90=?

Answers

Answer:

3(x+5) (x+6)

Step-by-step explanation:

The factored form of 3x² + 33x + 90 is: 3(x + 6)(x + 5)

To factor completely the quadratic expression 3x² + 33x + 90, we can look for two binomial factors that multiply together to give us the original expression.

First, we can check if the expression can be factored by using the common factor 3:

3x²+ 33x + 90

We can factor out 3 from each term:

3(x^2 + 11x + 30)

Now, we need to find two binomial factors that multiply to give us x² + 11x + 30.

The factors can be determined by factoring the quadratic expression further:

x² + 11x + 30 = (x + 6)(x + 5)

Therefore, the completely factored form of 3x² + 33x + 90 is:

3(x + 6)(x + 5)

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12y=24x
6x=3y+5

Which statement best describes the relationship between the lines?

Answers

Answer: i think is A they are parallel

Step-by-step explanation: is not  perpendicular NOT-B

Final answer:

The relationship between the lines represented by the equations 12y = 24x and 6x = 3y + 5 is that they are parallel lines. This conclusion is drawn from the fact that they have the same slope (2) but different y-intercepts (0 for the first line and -5/3 for the second line).

Explanation:

To determine the relationship between the lines represented by these equations, we must first put them in slope-intercept form (y = mx + b), where m represents the slope of the line, and b indicates the y-intercept.

For the first equation, 12y = 24x, we can divide both sides of the equation by 12 to get y = 2x.

For the second equation, 6x = 3y + 5, we re-arrange the equation by subtracting 5 from both sides and then dividing by 3. This gives us y = 2x - 5/3.

From the equations y = 2x and y = 2x - 5/3, we can see that the slopes of both lines are the same which is 2. This indicates that the lines are parallel to each other. However, since the y-intercepts are different (0 for the first line and -5/3 for the second line), we can conclude that they are different parallel lines, not the same line.

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I WILL BE GIVING 15 points and 5 stars and thanks. Please answer quickly. A housewares company wants to add a new size of mug to its collection of available products. Its original mug design has a height of 120 millimeters and a diameter of 96 millimeters, and the new mug will have a height of 100 millimeters, as shown. If the company wants the new mug to be geometrically similar to the original mug, what should the diameter of the new mug be?

a = 81 mm
b = 80 mm
c = 76 mm
d = 72 mm

Answers

Answer:

b 80 mm i think because removed 20 mm

Answer:

c

Step-by-step explanation:

if your taking 20 mm from hight you have to take 20 from the diameter


XY and BD are parallel lines.
X is a point on AB and C is a point on BD.
XB = XC.
a) Complete this sentence.
Angle XBC = 55⁰ because

b) Work out angle BXC.
Give a reason for each angle you work out.​

Answers

Answer:

Hey  i got the top one its AXY and XBC ar corresponding angles

Step-by-step explanation:

help it helps you ,i will look and try to do the bottom one aswell, kan you mark me the brainlist pls.

Final answer:

Angle XBC equals 55° because of the Alternate Interior Angles Theorem applied to the parallel lines XY and BD. Angle BXC in triangle XBC is worked out to be 70° due to the Angle Sum Property of a triangle, considering triangle XBC is isosceles with XB equal to XC.

Explanation:

Angle Measurements in Parallel Lines and Triangles

When considering XY and BD as parallel lines, and points X on AB and C on BD such that XB = XC, we can analyze the angles formed using the properties of parallel lines and triangles.

a) Angle XBC = 55° because of the Alternate Interior Angles Theorem, which states that when two parallel lines are crossed by a transversal, the alternate interior angles are congruent. Since XY and BD are parallel, and AB is a transversal, angle XBC is congruent to the alternate interior angle on the opposite side, which must also measure 55°.

b) To work out angle BXC, consider triangle XBC which is isosceles given that XB = XC. Since angle XBC is 55° and triangle XBC has two equal sides (XB and XC), the base angles (XBC and XCB) are equal. So angle XCB is also 55°. The sum of all angles in a triangle is 180°, so angle BXC = 180° - (55° + 55°) which equals 70°.

The reason that angle BXC is 70° is due to the Angle Sum Property of a triangle, which is the sum of angles in a triangle is always 180°.

Sooo..... can anybody help.....

Answers

V= wlh so the answer is 56.25 or 56 1/4
56.25 would be your answer! Hope I helped! :)

solve for x in the diagram in the pic

Answers

Answer:

x=34

Step-by-step explanation:

The angle measure of a straight line is 180 degrees.

So if you add up all of the angles to make an equation, you get 2x + 112=180.

Then solve.

2x + 112=180

-112

2x=68

x=34

A square napkin is folded in half on the diagonal and placed on the diameter of a round plate
(see diagram below).
If the folded napkin spans the plate and the plate has an 18-inch diameter, what is the area of
the space on the plate that is NOT covered by the napkin? Leave your answer in terms of .

Answers

Answer:

The area of  the space on the plate that is not covered by the napkin is[tex]81(\pi-1)\ in^2[/tex]

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=18/2=9\ in[/tex] ---> the radius is half the diameter

substitute

[tex]A=\pi (9)^{2}\\A=81\pi\ in^2[/tex]

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

[tex]D^2=2b^2[/tex]

where

b is the length side of the square

we have

[tex]D=18\ in[/tex]

substitute

[tex]18^2=2b^2[/tex]

solve for b^2

[tex]b^2=162\ in^2[/tex] -----> is the area of the square

Divide by 2

[tex]162/2=81\ in^2[/tex]

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The  area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

so

[tex]A=(81\pi-81)\ in^2[/tex]

simplify

[tex]A=81(\pi-1)\ in^2[/tex]

find the area of the regular polygon​

Answers

Answer:To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Step-by-step explanation:

hope this helps

plez mark as brainlyest

The angle θ=π3 is in standard position and has a terminal side that coincides with the graph of a proportional relationship represented by y=kx.

a. Find the constant of proportionality, k.

b. Write an ordered pair that lies on the graph of y=kx.

Answers

Part a

theta = pi/3

sin(pi/3) = sqrt(3)/2

cos(pi/3) = 1/3

tan(angle) = opposite/adjacent = rise/run = slope

tan(pi/3) = sin(pi/3)/cos(pi/3) = (sqrt(3)/2)/(1/2) = sqrt(3)

The value of k is k = sqrt(3)

This is also the slope the line y = kx because it is in the form y = mx+b with m = sqrt(3) and b = 0.

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

Part b

Pick any value you want for x, and plug it in to find the paired value of y

if x = 0, then y = 0 because

y = sqrt(3)*x = sqrt(3)*0 = 0

So (0,0) is one ordered pair on the line

---------

If x = 1, then y = sqrt(3), since,

y = sqrt(3)*x = sqrt(3)*1 = sqrt(3)

We can say ( 1, sqrt(3) ) is another ordered pair

---------

If x = sqrt(3), then,

y = sqrt(3)*x = sqrt(3)*sqrt(3) = sqrt(3*3) = sqrt(9) = 3

Therefore, ( sqrt(3), 3 ) is another ordered pairThere are infinitely many ordered pairs on this line.

Ronnie's Rentals
charges $25 plus $15 per hour to rent a
chain saw. David rented a chain saw for
5 hours. Write an expression to show how
you could calculate the total amount
David paid.

Answers

Answer:

15x5+25=x

Step-by-step explanation:

15 times 5 plus 25 = total amount paid

What is the test that you can do to tell if a graph represents a function?
A. the horizontal line test
B. the vertical line test
C. the expression test
D. the litmus test

Answers

b. the vertical line test

Answer:

I think it's gonna be c

Step-by-step explanation:

C The expression test

Find the volume of a triangular pyramid with a base height of 5 inches, base length of 3 inches, and a height of 6 inches.

Answers

Final answer:

The volume of the triangular pyramid is calculated by finding the area of the triangular base and then using the volume formula for a pyramid, resulting in a volume of 15 cubic inches.

Explanation:

To find the volume of a triangular pyramid, we use the formula for the volume of a pyramid, which is V = (1/3) × base area × height. First, calculate the area of the triangular base using the formula for the area of a triangle, A = (base length × base height) / 2. In this case, the base length is 3 inches, and the base height is 5 inches.

Therefore, the area of the triangle is A = (3 in. × 5 in.) / 2 = 7.5 in.². Now, we can calculate the volume of the pyramid using the height of the pyramid, which is 6 inches.

The volume of the pyramid is V = (1/3) × 7.5 in.² × 6 in. When you calculate this, you get V = 15 in.³, which is the volume of the pyramid.

What is the perimeter, to the nearest hundredth of a unit, of the the
following polygon with vertices (-3, 2), (1, 2), (3,-1),(0,-3), (-4, -3)?

Answers

Answer:

Step-by-step explanation:

Te assembly started at 3:02pm. It ended at
3:58pm. How long was the assembly?

Answers

Answer:

The assembly was 56 minutes long

Step-by-step explanation:

Answer: The assembly lasted 56 minutes.

Step-by-step explanation:

If you just pay attention to the minutes (2 and 58 respectively), you can subtract the original amount from the end amount.

58-2=56

Jackie cut a piece of paper along its diagonal, as shown below, forming two triangles.

A rectangle is cut diagonally to form 2 equal triangles.

How do the height and base length of the two triangles compare to the height and base length of the original piece of paper?


The two dimensions are the same in the triangles as they were in the rectangle.

The two heights are the same in the triangles as they were in the rectangle, but the bases of the triangles are half the length of the base of the rectangle.

The two bases of the triangles have the same length as the base of the rectangle, but the triangles have heights equal to half the height of the rectangle.

The two dimensions of the triangles are each half what they were in the rectangle.

Answers

Answer:

B. The two dimensions are the same in the triangles as they were in the rectangle.

Step-by-step explanation:

Given

Initial Shape: Rectangle (Before cut)

Final Shape: Triangles (After cut)

Note that this can be explained properly with the use of attachments

See attachment 1 for Before Cut

Before Cut represent the full rectangle before Jackie cut the piece of paper.

Let H and B represent the height and base of the triangle

Given that the rectangle is cut diagonally, this means that the cutting starts and ends at the opposite edges of the rectangle

See attachment 2 for After Cut

After Cut represent the two triangles after cutting the rectangle

From the attachment, you'll observe that the dimension of the two triangles (Triangle 1 and Triangle 2) are the same as it is with the rectangle;

In other words, the two triangle have their heights as H and their bases as B.

Hence, it can concluded that the two dimensions are the same in the triangles as they were in the rectangle.

Answer:

c is the correct answer

Step-by-step explanation:

Use the original price and the markup to find the retail price.

Original price: $42; Markup: 7.5%

Answers

Answer:

$45.15

Step-by-step explanation:

When you are dealing with questions with percents in them—like this one—you have to turn the percent into a decimal. To make 7.5% into a decimal, you move the decimal point 2 spaces to the left. So, 7.5% is also 0.075.

Now, we have to use this formula for these types of questions:

x + x(y)= the price with tax (or markup)

So, we can substitute the variables.

42+42(0.075)=the retail price

42(0.075)=3.15

42+3.15=45.15

So, the retail price will be $45.15

Line l is a straight line.
Which statements are true about the angles in the figure? Select two options

Answers

Answer:

The first and second are correct

Step-by-step explanation:

∠X and ∠Y and ∠W and ∠Z are linear angles and supplementary angles, and ∠Y and ∠Z are complementary angles. Then the correct options are A, B, and E.

What is an angle?

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

∠X and ∠Y are linear angles and supplementary angles.

∠W and ∠Z are linear angles and supplementary angles.

∠Y and ∠Z are complementary angles.

More about the angled link is given below.

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10−y=2.301
please find y

Answers

Answer:

y = 7.699

Step-by-step explanation:

10−y=2.301

subtract 10 from both sides

10-10−y=2.301-10

-y =-7.699

Multiply each side by -1

y = 7.699

Laney builds a tower with wooden cubes. The bottom cubes edges are 8 centimeters long. The middle cubes edges are 2 centimeters shorter than the bottom cube. The top cubes edges are 2 centimeters shorter than the middle cube. What is the total volume of the cubes in the tower?

Answers

Laney builds a tower with wooden cubes The bottom cubes edges are 8 cm long The middle cubes edges are 2 cm shorter than the bottom cube The top cubes edges are 2 cm shorter than the middle cube what is the total volume of the cubes in the tower

Factor Completely: 3x squared+ 15x - 72​

Answers

Answer:

actor Completely: 3x squared+ 15x - 72​

3x²+15x-72

(x+5) (5x-24)

Step-by-step explanation:

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