The sides of a rectangle are in the ratio of 4:5. If the width is 28 in., find the length, the perimeter, and the area of this rectangle.

Answers

Answer 1
If the width is 28 inches, then divide that by 4 and you get 7. You multiply that by 5 to get the length. That would be 35. Just to check, you know that the width 28 and length 35 are in ratio 4:5 if you divide by 7. The perimeter would be 2(35+28)=63*2=126. So the perimeter is 126. The area would be 35*28 which is 980. To sum up, the answers are as follows.

Length: 35 in
Perimeter: 126 in
Area: 980 inches squared.

Related Questions

If time is an explanatory variable and temperature is the corresponding response variable which of these would be represented by the x-axis on a scatter plot? A. Neither Time nor Temperature B. Time C. Both Time and Temperature D. Temperature

Answers

B. Time (APEX) would be represented by the x-axis on a scatterplot












Answer:

B. Time

Step-by-step explanation:

In general, x-axis is the variable (cause) and the y-axis is the response (effect)

So, according to the given information, TIME would be represented by the x-axis.


What is the area of this figure? Enter your answer in the box.

Answers

Luckily for us, the diagram already divided this figure into separate polygons. What I will be explaining is basically the addition of the areas of all the separate polygons. The area of the uppermost triangle is:

1/2 x b x h
= 1/2 x 20 x 8
(the base is 20, because in a parallelogram, opposite sides are congruent)
=10 x 8
= 80 in. squared

The next polygon we will be taking the area of is the parallelogram with the base length of 20 and the height of 16.

Area = b x h
= 20 x 16
= 320 in. squared

Now all we have left to do is add the two areas to obtain the total area.

Total Area = 320 + 80 = 400 in. squared


Michael bought a new soccer Jersey that was $24.99. after taxes the total cost was $28.99. What is the percent if increase

Answers

Tax = $28.99 - $24.99 = $4.00

Tax Percentage = 4/24.99 x 100 = 16%

Answer: 16%

Assuming boys and girls are equally​ likely, find the probability of a couple having a baby boy boy when their fourth fourth child is​ born, given that the first three three children were all boys all boys.

Answers

I am assuming the gender of each child is independent of the other.

Then the information about the first three children is irrelevant.

So then the probability of fourth child being boy is 1/2, since boys and girls are equally​ likely.

Hope this helps.

34 + 4 ⋅ 5 = ____
PLEASE HELP ASAP FOR BRAINLIEST!!!!!

Answers

54 will be your answer

 3x4 = 12 + 4 = 16 16 x 5=80
 your answer is 80 hope this helped. 

which equation is in slope-intercept form and represents a line with slope 3 through the point (9,-4)

Answers

Slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the line. Since we weren't given the y-intercept, one way to solve this problem is substitute the slope for the variable m and then the x and y values from the ordered pair to solve for b.

y = mx + b

y = 3x + b

-4 = 3(9) + b

Now, we can simplify by computing the multiplication on the right side of the equation.

-4 = 27 + b

Finally, we can find the value for b by subtracting 27 from both sides of the equation to get:

-31 = b

Now, we should substitute this value for b back into our equation with the slope.

y = 3x - 31

Therefore, your answer is y = 3x - 31.

Hope this helps!

Answer:

The correct answer would be y = 3x - 31

Step-by-step explanation:

In order to find the answer to this question, we must use point-slope from, which is listed below.

y - y1 = m(x - x1)

Now we input the ordered pair in for x1 and y1 and the slope in for m.

y - -4 = 3(x - 9)

Then we solve for y.

y + 4 = 3x - 27

y = 3x - 31

BRAINLIEST!!!!!!!!

When you have two shapes to compare on a coordinate plane, you can determine the scale factor, knowing that the transformation was a dilation. Generate instructions you would give another student to determine the scale factor.

Answers

sample response

Locate two corresponding ordered pairs of the two shapes. Calculate how much the pre-image values were multiplied by to obtain the image values. This is your scale factor. You can calculate this by dividing the coordinates of the mage by the corresponding coordinates of the pre-image.

You can calculate the scale factor by dividing the coordinates of the image by the corresponding coordinates of the pre-image.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Assume that the initial coordinates are (x, y) and that the dilated coordinates are (x', y').

The dilation is therefore:

(x, y) → (x', y')

Now, let's assume that the dilation factor is k.

Therefore:

x' = kx

y' = ky

To get the initial coordinates and the final ones and then substitute in any of the above two equations to get the value of k, which is the scale factor,

For example =

Assume an original point at (2,4) is dilated to coordinates (4,8) we need to find the dilation factor.

Assume the dilation coefficient is k.

(x, y) are (2,4) and (x', y') are (4,8)

Therefore:

x' = kx → 4 = k×2 → k = 2

or:

y' = ky → 8 = k×4  → k = 2

Based on the above, the dilation coefficient would be 2.

Learn more about scale factors, click;

https://brainly.com/question/30215119

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21 out of 25 cars have 4 doors what percentage have four doors

Answers

84%

To find this, set up the current ratio as a fraction or 21/25. Then, multiply 21 by 100 and divide by 25 to find the percentage.

You do this using a similar like butterfly method - 21/25 x/100

Therefore, the answer is 84%

Hope this helps!

What is the solution of the system of equations?y = –4x + 10y = –2x – 6(–22, 8)(8, –22)(–2, –2)(–2.67, 20.67)?

Answers

The solution is the second choice:
  (8, -22)

_____
That is the point on the graph where the line intersect.

Find the percent of increase or decrease. 55mph to 70mph

Answers

From 55 mph to 70 mph is a 36% increase.

I hope this helped!

Which number is an irrational number?

a) square root of 100
b)1/8
c)-2.2675
d)exponent 3 square root of 16

Answers

1. To solve this problem, you must keep on mind the followinwg information:

 You know that, by definition, an irrational number is a number that cannot be expressed as a fraction.

 2. Therefore, the correct answer is the option D. 

 3. To verify the answer you have:

 ∛16=2.51

 As you can see, the result is 2.51 and the decimal number 2.51 cannot be expressed as a fraction.

Answer:

D

Step-by-step explanation:

How many 2-digit numbers are multiples of neither 5 nor 7?

Answers

Answer:

Step-by-step explanation:

You take the amount of 2-digit numbers there are (90) and subtract it from the  amount of two digit numbers that are multiples of 5 and 7 (29). You should get 61.

Answer:  The number 2-digit numbers are multiples of neither 5 nor 7 is 61.

Step-by-step explanation:  We are given to find the number of 2-digit numbers that are multiples of neither 5 nor 7.

Let A denote the set of 2-digit numbers that are multiples of 5 and B denote the set of 2-digit numbers that are multiples of 7.

Then,

A = {10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95}

and

B = {14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98}

That is, n(A) = 18  and  n(B) = 13.

Now, the set of 2-digit numbers that are multiples of both 5 and 7 is given by

[tex]A\cap B=\{35, 70\}~~~~~~\Rightarrow n(A\cap B)=2.[/tex]

Therefore, the number of 2-digit numbers that are multiples of either 5 or 7 is given by

[tex]n(A\cup B)=n(A)+n(B)-n(A\cup B)=18+13-2=29.[/tex]

Now, there are 90 2 -digit numbers.

Thus, the number 2-digit numbers are multiples of neither 5 nor 7 is

90 - 29 = 61.

Hence, the total number of numbers is 61.

write a cosine function for the graph?

Answers

Answer(s):

[tex]\displaystyle y = 4cos\:(4\theta \pm \pi) \\ y = -4cos\:4\theta[/tex]

Step-by-step explanation:

[tex]\displaystyle y = Acos(B\theta - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\pm\frac{\pi}{4}} \hookrightarrow \frac{\pm\pi}{4} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{2}} \hookrightarrow \frac{2}{4}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[tex]\displaystyle y = -Acos(B\theta - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{2}} \hookrightarrow \frac{2}{4}\pi \\ Amplitude \hookrightarrow 4[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that this cosine graph will have TWO equations because the curvature begins upward from [tex]\displaystyle [0, -4][/tex] instead of downward from [tex]\displaystyle [0, 4],[/tex] telling you that one equation will have a “negative” symbol inserted in the beginning of the equation. Before we go any further though, we must figure the period of the graph out. So, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [0, -4],[/tex]from there to [tex]\displaystyle [-\frac{\pi}{2}, -4],[/tex] they are obviously [tex]\displaystyle \frac{\pi}{2}\:unit[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \frac{\pi}{2}.[/tex] Now, as you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 4cos\:4\theta.[/tex] Now, if you look hard enough, you will see that both graphs are “mirror reflections” of one another, meaning you can figure the rest of the terms out one of two ways. The first way is to figure the appropriate C-term out that will make the graph horisontally shift and map onto the original cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also, keep in mind that −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the rightward graph is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex] on both sides of the y-axis, which means that in order to match the original graph, we need to shift the graph back, which means the C-term will be both negative and positive; and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\pm\frac{\pi}{4}} = \frac{\pm\pi}{4}.[/tex]So, one equation of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 4cos\:(4\theta \pm \pi).[/tex] Now that we got this out the way, we can focuss on finding the second equation. Another way is to write an equation with a “negative” symbol inserted in the beginning [like I mentioned earlier]. Now, sinse we are writing an equation with the negative, the graph will not have a horisontal shift; so, C will be zero. With this said, the second equation is [tex]\displaystyle y = -4cos\:4\theta.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex] in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

A bakery purchase all of the pumpkins to make pies. If she a 100 bill to pay for the pumpkins, how much change will she receive?

Answers

I got 32.5 as the change she will receive. I attached a picture of my work

Hope this helps:)

What is the area, in cm2, of the circle shown above? Round your answer to the nearest tenth.

Answers

Where is the circle?

A line passes through the (1, -6) and has a slope of 5. write an equation for this line

Answers

The point-slope form of the equation for a line with slope m through point (h, k) is ...
  y = m(x -h) +k

Your line's equation can be written as
  y = 5(x -1) -6

This can be simplified to slope-intercept form
  y = 5x -11
or standard form
  5x -y = 11

does anyone have idea of a poem with using number 16

Answers

Sixteen
When you add eight plus eight
Isn't that great?
When you divide two fifty six by sixteen
Darn, didn't that make your stomach turn green
I couldn't think of a better way to show you sixteen
Rather seems unseen
A better way to say Sixteen

Hey can you please help me posted picture of question

Answers

The correct answer is the option A.

 The explanation is shown below:

 The option A is theoretical probability, because they did not make any experiment to determine the probability, while in the others options, they had to make equal tests for to determine the probability.

 For example, Lisa had to attempted 25 basketball free throws to determine which one them she could make and, then, determine the probability. While Kelli did not have to make any test.

Which of the following is the domain of the function G(F(x))?

F(x) = x + 4, G(y) =

G(F(x)) =

A. All numbers less than or equal to 4
B. All numbers less than or equal to -4
C. All numbers greater than or equal to -4
D. All numbers greater than or equal to 4

Answers

Answer: option C. all numbers greater than or equal to -4.

Justification:

1) G(F(x)) means apply first the rule F(x) and then apply the rule G(y) to the outcome of (Fx).

2) Mathematically that is:

G(F(x) = G (x + 4) = [tex] \sqrt{x+4} [/tex]

3)  The the domain is all the numbers for which the expression inside the root are not negative, i.e x + 4 ≥ 0

⇒ x ≥ - 4

That is the option C. all number greater than or equal to - 4.


a salesman's commission on 150,000 sale is 3000. what is the percent?

Answers

The percentage is 98%.

You can find this by multiplying 98% (0.98) and 150,000 to get 147,000. Then subtract 147,000 from 150,000 to get 3,000.

I hope this helps!

Evaluate Cot0 if sin0= square root of 6/5

Answers

To evaluate cot θ given that sinθ=√6/5 we shall have:
sin θ=opposite/hypotenuse
hence
opposite=√6
hypotenuse=5
thus the adjacent will be found using the Pythagorean theorem
c²=a²+b²
plugging in the value we get:
5²=(√6)²+b²
b²=25-6
b²=19
b=√19
thus
adjacent=√19
but
cotθ=1/tanθ
tanθ=√6/√19
hence:
cotθ=√19/√6

Find the feet of c and d

Answers

The lower triangle with sides 15 ft , 20 ft and c is a right triangle. The hypotenuse measures c.
Use the Pythagorean theorem to find c.

15^2 + 20^2 = c^2

225 + 400 = c^2

c^2 = 625

c = 25

Side c measures 25 ft.

The two triangles are similar, so the lengths of corresponding sides are proportional.

120/20 = d/15

6 = d/15

d = 90

Length d is 90 ft.

When a graph is periodic, its shape repeats, again and again. Think of at least five events in your life that are periodic and whose periods are long. For example, an event might repeat only once or twice a year, or even once a month. What is the period and frequency of each event? Which incidents repeat most frequently? Which repeat least frequently?

Answers

The event that repeats in my life are
1. Birthday celebration
period = 1 day
frequency = 1 day/year

2. School term. I have three terms ever year and each takes 3 months.
period = 3 months
frequency = 3 times/year

3. Attending to church. I go to church every Saturday.
period = 1 day
Frequency = 1 day/weak

4. I go for holiday vacation for a month once a year. 
Period = 1 month
Frequency = 1 month/year

5. I visit my grandparent two times a year. 
Period = 1 week
Frequency = 2 weeks/year

Which incidents repeat most frequently? 
 Attending to church. I go to church every Saturday.

Which repeat least frequently?
Birthday celebration

hello can you please help me posted picture of question

Answers

Hello fellow user! 

Here is something that may help you. ^.^

P(GG)=(8/12)(7/11)

P(GG)=56/132

P(GG)=14/33

The answer is .B! Please contact me for any further questions. Cheerio and have a lovely day. 
8 girls  +4 boys = 12 children total

picking a girl first  = 8/12 = 2/3

picking a second girl = 7/11

picking both: 2/3 x 7/11 = 14/33

Answer is B

(a) find the slope m of the tangent to the curve y = 5 + 5x2 − 2x3 at the point where x =
a. m = (b) find equations of the tangent lines at the points (1, 8) and (2, 9). y(x) = (at the point (1, 8)) y(x) = (at the point (2, 9))

Answers

a) The slope at (1, 8) is 4.
  The slope at (2, 9) is -4.
These values are computed numerically by the graphing calculator and shown in the column f'(x) in the graphic.

The derivative is y' = 10x -6x². At x=1, y' = 10-6 = 4; at x=2, y' = 20-24 = -4.


b) In point-slope form, the equations of the tangent lines are shown in the graphic.

The slope of the tangent will be "[tex]10a-6a^2[/tex]". The equation at point (1, 8) is "[tex]y = 4x+4[/tex]" and at point (2,9) is "[tex]y = -4x+17[/tex]".

Given equation is:

[tex]y = 5+5x^2-2x^3[/tex]

(a)

The slope of the tangent to the curve point where [tex]x = a[/tex] is:

→ [tex]\frac{dy}{dx} = m = 10x-6x^2[/tex]

→              [tex]= 10a-6a^2[/tex]

(b)

The equation of tangent at point (1,8) will be:

Slope, [tex]m = 10-6[/tex]

                  [tex]= 4[/tex]

→ [tex]y-8=4(x-1)[/tex]

         [tex]y = 4x-4+8[/tex]

         [tex]y = 4x+4[/tex]

and,

The equation of tangent at point (2,9) will be:

Slope, [tex]m = 10\times 2-6\times 2^2[/tex]

                  [tex]= 20-24[/tex]

                  [tex]= -4[/tex]

→ [tex]y-9=-4(x-2)[/tex]

   [tex]y-9=-4x+8[/tex]

         [tex]y = -4x+17[/tex]

Thus the above answer is right.

Learn more about tangent here:

https://brainly.com/question/10462284

What is the quotient of -19/2 divided by 38/ 7

Answers

This is the correct answer

Algebraically determine if the relation y=10x is symmetric with respect to the x-axis, y-axis, the origin or has no symmetry
A.) y-axis
B.)no symmetry
C.)the origin
D.)x-axis

Answers

Linear functions are odd degree functions.  These type of functions do not have any symmetry with respect to the either axis.  However, the function       y=mx+b where   m = ±1            b = 0 does have symmetry with respect to the origin.

hope this helped 

Hey can you please help me posted picture of question

Answers

You multiply the options in each section:

Shirts x skirts x shoes
7 x 6 x 4
=168

So, there are 168 combinations- Letter answer B
The answer to the question is b

Audrey can drive 135 miles on 6 gallons of gas and 225 miles on 10 gallons of gas.

Answers

If a car travels 135 miles on 6 gallons of gasoline, then one gallon of gasoline car travel would be 

135/6

=22.5

The car can travel

22.5*10

=225 miles on 10 gallons of gasoline

^o^

stans cookie recipe makes 24 cookies and calls for exactly 384 sprinkles he is wondering how many sprinkles he would need to make 60 cookies he assumes each cookie will have same number of sprinkles how many sprinkles does Stan need to make 60 cookies

Answers

He will need 960 sprinkles for 60 cookies.

This can be found by first finding how many sprinkles are on 1 cookie. To do this, you divide 384 by 24, to get 16 sprinkels on 1 cookie. Then you multiply 16 by 60 to get 960 (the number of sprinkles for 60 cookies).

I hope this helps!

Answer:

Stan would need 960 sprinkles to make 60 cookies.

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Since we are given 3 values, which are the amount of sprinkles to make 24 cookies, 60 cookies, and give us one variable. We can use the Rule of Three technique to find the amount of sprinkles needed for 60 cookies. This technique is shown in the picture that is attached below.

24 cookies   ⇒   384 sprinkles

60 cookies   ⇒   x

[tex]\frac{60*384}{24} = x[/tex]

[tex]960 sprinkles = x[/tex]

Therefore, we can see that Stan would need 960 sprinkles to make 60 cookies.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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