The length of a rectangle is 3 m longer than its width.

The area of the rectangle is 154 m².

What is the width of the rectangle?

Enter your answer in the box.

Using the quadratic formula -b +/-√b^2-4(ac) / 2a solve for x:

10 +/-√(-10)^2 -4(1*27) / 2*1

x = 5 +/-2√13

x = -2.21

or x = 12.21

The negative solution is between -2 and -3.

The positive solution is between 12 and 13.

Let side B = X

Then side A = 2x

Side C = 2x +1

Mow you have x + 2x + 2x+1 = 76

Simplify:

5x +1 = 76

Subtract 1 from both sides:

5x = 75

divide both sides by 5:

x = 75 /5

x = 15

Side A = 2x = 2*15 = 30 cm

Side B = x = 15 cm

Side C = 2x +1 = 2*15 +1 = 30+1 = 31 cm

Answer:

Country B because the median is closer to the center of the box in the box plot.

Step-by-step explanation:

In the figure attached the box plots show the average wind speeds, in miles per hour, for two different islands (Country A on the top, Country B on the bottom).

The median of Country A is 4 and the center of the box is 5

The median of Country B is 6 and the center of the box is 6.5

Answer:

B

Step-by-step explanation:

Did it on edg

Answer:

The number of adult tickets sold is a=202\ tickets

The number of student tickets sold is c=310\ tickets

Step-by-step explanation:

c------>  the number of student tickets sold

a----->  the number of adult tickets sold

we know that

a+c=512 -----> equation A

5c+10a=3,70-----> equation B

therefore

the solution is

the number of adult tickets sold is a= 202 tickets

the number of student tickets sold is c= 310 tickets

Answer:

b. ellipse; [tex]4x^2+5y^2-40x+60y+260=0[/tex]

Step-by-step explanation:

The graph of [tex]4x^2+5y^2=20[/tex] an ellipse because the coefficients of the quadratic terms are not the same.

This ellipse is centered at the origin. If this ellipse is translated  so that its center is now at [tex](5,-6)[/tex].

Then the translated ellipse will now have equation.

[tex]4(x-5)^2+5(y+6)^2=20[/tex]

We expand to get;

[tex]4(x^2-10x+25)+5(y^2+12y+36)=20[/tex]

[tex]4x^2-40x+100+5y^2+60y+180=20[/tex]

[tex]4x^2+5y^2-40x+60y+100+180-20=0[/tex]

[tex]4x^2+5y^2-40x+60y+260=0[/tex]

Answer:

B

Step-by-step explanation:

just took it on edge and it was right :)

c = 17.78

b = 12.12

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

Answer:

b = 12.1

c = 17.8

Step-by-step explanation:

First, we can solve for c by using sine: sin(47) = 13/c -> c = 13/sin(47) = 17.8 rounded to the nearest 10th.

Then, we can solve for b by using tangent: tan(47) = 13/b -> b = 13/tan(47) = 12.1 rounded to the nearest 10th.

I hope this helped you.

Answer:

C. $875

Step-by-step explanation:

The rule of housing is the rule of thumb of not using more than 25% of your gross income. This means that the households supposed limited expenses on housing would be a maximum of 25% only.

So to find the monthly housing budget of Bryson, we simply take his annual salary and multiply it by 25% or 0.25 and then divide the product by 12.

Monthly Housing Budget = ($42,000 * 0.25)/12

Monthly Housing Budget = 10500/12

Monthly Housing Budget = $875

Answer: C. $875

Step-by-step explanation:

CUZ IT IS.... hope all of you guys become successful.

You don't it's not a bug

Answer:Since You slept randomly, there can’t be a duck in your bedroom, no further explanations is needed.

Step-by-step explanation:

Answer: option a.

Step-by-step explanation:

The [tex]\lim_{x \to a} f(x)[/tex] give us information about the behavior of the function when the variable x gets closer to the value a. In other words, it tells us to what value y gets closer when x gets closer to the value a.

In this case we are evaluating the limits when:

[tex]{x \to -3}[/tex]

[tex]{x \to 0}[/tex]

[tex]{x \to 2}[/tex]

of the function shown in the graph.

As you can observe in the graph, when:

[tex]{x \to -3}[/tex] , [tex]y=3[/tex]

[tex]{x \to 0}[/tex] , [tex]y=0[/tex]

[tex]{x \to 2}[/tex] , [tex]y=-2[/tex]

Answer:

times 2

Step-by-step explanation:

0.41*2=0.82

0.82*2=1.64

divide by 2...pattern is 3.28,1.64,0.82,0.41

Another pattern with the same fourth term is one where to get the next term in the sequence we multiply the previous one by -2, and the first term is -0.41,

We have the pattern:

0.41, 0.82, 1.64, 3.28

Is ratter easy to see that it is a geometric sequence, such that each term is twice the previous term:

Now we just want to make another pattern that has the same fourth term, so we can play with the given pattern.

Suppose we start with -0.41, and instead of by 2, we multiply each time by -2, then we get:

And so on, so we just found another pattern that has the same fourth term, but behaves differently.

If you want to learn more about sequences, you can read:

https://brainly.com/question/9300199

Answer:

no

Step-by-step explanation:

median only shows the amount in the very middle. to represent how much money he makes in daily tips, he needs to find the mean (the average).

Answer:

Little close

Step-by-step explanation:

In statistics, when we have a list of entries to be analyzed we have few figures for observation. These are

Mean , median and mode.

Mean gives the average of all the entries. By average means.

Median gives you the middle most entry.

And mode gives the entry repeated the most.

As by definition we see that , median will give us approximation regarding daily data, hence jacob must consider the median to best represent the money he makes on daily basis.

Answer:

$48

Step-by-step explanation:

1. multiply the original price (60) by the percent off (20% or 0.20)

    60 * .20 = 12 (the discount)

2. subtract the discount (12) from the origianl price (60)

    60-12 = 48

Answer:

12

Step-by-step explanation:

bc i got it right on study island lol

Answer: B) P-a-c.

Step-by-step explanation:

The value of b is P - a - c.

Given,

The perimeter of a triangle is given by the formula P = a + b + c.

We need to solve for b.

The total length of all three sides of a triangle is called the perimeter of the triangle.

It is given by:

P = a + b + c

Where a,b, and c are the sides of the triangle.

We have,

P = a + b + c

Subtracting a on both sides

P - a = a + b + c - a

P - a = b + c

Subtracting c on both sides

P - a - c = b + c - c

P - a - c = b

We get,

b = P  - a - c

Thus the value of b is P - a - c.

Learn more about the Perimeter of a triangle here:

https://brainly.com/question/12901661

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Answer:

1,400 bracelets in 3 and a half hours

Step-by-step explanation:

First you have to find how many minutes are in 3 and a half hours. 1 hour is 60 minutes, so 60 + 60 + 60 is 3 hours or 180 minutes and 30 minutes is a half an hour. Therefore 3 and a half hours equals 210 minutes. Set up an equal proportion: 100 bracelets / 15 min = x bracelets / 210 min. Use algebra to solve: 100 * 210 = 15x → 21000 = 15x → 1400 = x.

1400 bracelets can the factory produce in three and a half hours.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A factory can produce 100 bracelets every 15 minutes.

So, In one minutes the factory produced

= 100 /15

= 20/3

Now, In three and a half hours ( 210 minutes) the factory can make

= 20/3 x 210

= 20 x 70

= 1400

Hence, In three and a half hours 1400 bracelets can be made.

Learn more about Unitary Method here:

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Answer:

Option C. [tex]p=33\ ft[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem

Using proportion

[tex]\frac{p}{12}=\frac{22}{8}\\ \\p=12*22/8\\ \\p=33\ ft[/tex]

Answer:

c

Step-by-step explanation:

bc i took quiz

Answer:

D

Step-by-step explanation:

I got it right

There infinitely many solutions are possible. Option D is correct.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
For two intersecting lines, it is not possible that the lines have only two solutions, either the lines have one solution or the lines have infinitely many solutions,

In our case line have infinitely many solutions,
Because the equations of the lines are the same.

Now,
The equation of the line is given as,
y - y₁ = m (x - x₁)
y - 5 = [7-5 / 3-1] (x - 1)
y = x - 1 + 5
y = x + 4

Thus, there infinitely many solutions are possible. Option D is correct.

Learn more about simultaneous equations here:

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Answer:

TRUE

Step-by-step explanation:

tanθ = 1/cotθ

cotθ = 0 when θ = ±(1/2)π, ±(3/2)π, … ±[(2n+1)/2]π.

∴ tanθ is undefined when θ = ±[(2n+1)/2]π.

secθ = 1/cosθ

cosθ = 0 when θ = ±(1/2)π, ±(3/2)π, , …, ±[(2n+1)/2]π.

∴ secθ is undefined when θ = ±[(2n+1)/2]π.

The tangent and secant functions are undefined for the same values of θ.

Answer:

True

Step-by-step explanation:

The tangent and secant functions are undefined for the same values.

Secant and tangent are trigonometry function. Each function has fix value for fix angle.

For angle 90° degree or [tex]\dfrac{\pi}{2}[/tex]

As we know,

[tex]\tan90^\circ=\infty[/tex]

[tex]\tan\dfrac{\pi}{2}=\infty[/tex]

[tex]\sec90^\circ=\infty[/tex]

[tex]\sec\dfrac{\pi}{2}=\infty[/tex]

True

∞ is undefined.

Hence, Both tangent and secant are undefined at 90°

Answer:

tan(x) = 1

Step-by-step explanation:

The red curve(s) are y=tan(x). The horizontal line is y=1, so the point(s) of intersection are where tan(x) = 1.

_____

Sine and cosine do not have infinite range.

The range of secant excludes (-1, 1), so the only remaining possibility for the red curve is tan(x).

Hello, thanks for using Brainly!

First, our equation is: [tex]5/8[/tex] x [tex]5 = 25/8.[/tex]

Our first step is to simplify.

When you simplify you get 3 1/8.

This is another way you can get it: (Multiply across. )

[tex]Number[/tex] [tex]of[/tex] [tex]the[/tex] [tex]miles = \frac{5}{8}[/tex] [tex]5 = \frac{25}{8} = 3\frac{1}{8}[/tex]

Enjoy your day.

Answer:

[tex]8\ m[/tex]

Step-by-step explanation:

we know that

[tex]1\ m=100\ cm[/tex]

step 1

Sum the 3 pieces of string

[tex]544+144+112=800\ cm[/tex]

step 2

Convert centimeters to meters

[tex]800\ cm=800/100=8\ m[/tex]

Answer:

Alecia lives farther from school

Step-by-step explanation:

Georgia

we know that

The distance from the school to her home is 67/100 of a mile

[tex]\frac{67}{100}=0.67\ miles[/tex]

Alecia

we know that

The distance from the school to her home is

3/10 of a mile plus 4/10 of a mile

so

[tex]\frac{3}{10}+\frac{4}{10}=\frac{7}{10}=0.7\ miles[/tex]

Compare the distances

[tex]0.7\ miles>0.67\ miles[/tex]

therefore

Alecia lives farther from school

Final answer:

The answer explains that Georgia lives farther from school than Alecia based on the distances they walked.

Explanation:

Alecia: Walked 3/10 mile from school + 4/10 mile back home = 7/10 mile total distance.

Georgia: Walked 67/100 mile total distance.

Alecia vs. Georgia: Alecia walked 0.7 mile, Georgia walked 0.67 mile. Georgia lives farther from the school as 0.7 > 0.67 mile.

at the origin

they are same

Answer:

The only time that both intercepts are identical is when they form the line of [tex]x = y[/tex], which is the origin, and MUST be a POSITIVE RATE OF CHANGE [SLOPE].

I am joyous to assist you anytime.

Answer:

Final simplified expression is 6.

Step-by-step explanation:

We have been given an expression [tex]216^{\frac{1}{3}}[/tex].

Now we need to simplify [tex]216^{\frac{1}{3}}[/tex] So let's do that by factoring 216 first so that we can have same repeating factor thrice

[tex]216^{\frac{1}{3}}[/tex]

[tex]=(6*6*6)^{\frac{1}{3}}[/tex]

[tex]=(6^3)^{\frac{1}{3}}[/tex]

Apply formula [tex](x^m)^n= x^{m*n}[/tex]

[tex]=6^{3*\frac{1}{3}}[/tex]

[tex]=6^{1}[/tex]

[tex]=6[/tex]

Hence final simplified form is 6.

Answer:

1.172

Step-by-step explanation:

1.954

-1.563

=0.391

So you must minus 0.391 from 1.563

1.563-0.391= 1.172

Answer:

Unknown scale is 1.25

Step-by-step explanation:

Here size of fonts have been enlarged with a scale factor. Scale factor means a common factor by which a sequence is formed.

The given sequence will be a geometric sequence.

So common ratio between 3rd and 4th fonts = [tex]\frac{1.954}{1.563}=1.25[/tex]

This ratio will be same in 1st and second fonts = [tex]\frac{1.25}{1}=1.25[/tex]

So unknown scale size is 1.25

Answer: $18.48

Step-by-step explanation: The formula for interest is I = PRT, where I equals interests, P equals the principle, R equals the rate and T is Time.

I = 308 x .06 x 1

I = $18.48

You will pay $18.48 interest for one year.

Answer:

Exterme Value: [tex](2,4)[/tex].

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

Step-by-step explanation:

The given function is [tex]y=x^2-4x+8[/tex].

We add and subtract the square of half the coefficient of x.

[tex]y=x^2-4x+(-2)^2-(-2)^2+8[/tex].

The first three terms form a perfect quadratic trinomial.

[tex]y=(x-2)^2+4[/tex].

This function is now written in the form [tex]y=a(x-h)^2+k[/tex], where (h,k) is the extreme value(vertex).

The extreme value or the vertex is [tex](2,4)[/tex].

Interpretation:

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

Answer: minimum at( 2,4)

Step-by-step explanation:

A p e x

Answer:

it is 129.3 you just round

Answer:

15cm2

Step-by-step explanation:

Area of a triangle is b*h/2

B is 5

H is 6

5 * 6 = 30

30/2 = 15

Answer:

A

Step-by-step explanation:

The area of a triangle is base * height, divided by 2

bh/2 (same thing as multiplying by .5 or 1/2)

given:

base: 5 cm

height: 6 cm

(5 * 6)/2 = 15 cm^2

therefore the answer is A

The answer is A because the rest of them for any given x you get 2 or more values of y