Drag each expression to its equivalent.

The area of the rectangular base is the amount of space on the rectangular base

The area of the rectangular base is 60 square inches

The question is incomplete; as the diagram is not given.

So, I will apply the concept of similar shapes to determine the area of the rectangular base

To determine the area of the rectangular base, we make use of the following equivalent ratio:

Ratio = Height : Area

This gives

3 : 36 = 5 : Area

Express as fraction

36/3 = Area/5

Evaluate the quotient

12 = Area/5

Multiply both sides by 5

Area = 60

Hence, the area of the rectangular base is 60 square inches

Read more about areas at:

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Answer:

54

Step-by-step explanation:

9x6=54

The exponential function with a growth factor has a rate greater than 1

The percentage growth rate is 276%

The growth factor (b) is given as:

b = 3.76

The growth factor (b) is greater than 1.

So, the percentage growth rate (r) is calculated as:

r = b - 1

Substitute known values

r = 3.76 - 1

Evaluate the difference

r = 2.76

Express as percentage

r = 276%

Hence, the percentage growth rate is 276%

Read more about exponential functions at:

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Answer:

66 degrees

Step-by-step explanation:

All three angles on any given triangle have a sum of 180 degrees.

We know that the measure of angle B is the the same as angle C.

So 57 +57 = 114

180 - 114 = 66

Hope that helps!

Hello!

To solve this exercise, we must use the formula below:

[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]

Knowing these values, let's replace them in the formula to obtain r:

[tex]\mathrm{C=2\cdot 3.14 \cdot 14}\\\mathrm{C=6.28 \cdot 14}\\\\\boxed{\mathrm{C=87.92}}[/tex]

So, the circle's circumference is 87.92cm.

Hope this helps!

Answer:

Step-by-step explanation:

To solve this problem, you need to multiply the radius of a circle by the circumference formula.

Circumference formula:

[tex]\sf{C=2\pi r}[/tex]

[tex]\sf{C=2*\pi r}[/tex]

C=?

π= 3.14

r= 14

[tex]\sf{2*3.14*14}[/tex]

Solve.

[tex]\sf{2*3.14=6.28}[/tex]

[tex]\sf{6.28*14=\boxed{\sf{87.92}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

10 inches by 8 inches

The length and with would be half the perimeter: 36/2 = 18

find 2 numbers when added together equal 18 and when multiplied together equal 80.

8 + 10 = 18

8 x 10 = 80

Answer:

13 a) 12% prefer pumpkin pie

   b) 6.4% prefer pumpkin pie

   c) 80% did NOT prefer raspberry pie

   d) 235 people would be expected to say that their favorite pie is apple

       or blueberry.

14 a) 20% prefer Marlin

   b) 12% prefer Dolphins

   c) 48.33% prefer seahawks or sharks as their mascot.

   d) 116 students would be expected to say that their favorite mascot is a

       Penguin.

15 a) 20% prefer Science fiction

   b) 46 people would be expected to report mystery as their favorite

       genre.

   c) 810 people would be expected to report drama, history, or romance

       as their favorite genre.

Step-by-step explanation:

13.  *There are a total of 125 participants or customers.*

a) 15/125 = 0.12 = 12%

   12% prefer pumpkin pie

b) 8/125 = 0.064 = 6.4%

   6.4% prefer pumpkin pie

c) Since 25 people preferred raspberry pie. 125-25= 100 people did NOT prefer raspberry pie.

    100/125 = 0.8 = 80%

    80% did NOT prefer raspberry pie

d) Out of 600 people, how many would you expect to say their favorite pie is apple or blueberry?

   Apple: 35/125 = 0.28 = 28%

   Blueberry: 14/125 = 0.112 = 11.2%

If there were 600 people:

    Apple: 600*0.28 = 168

    Blueberry: 600 * 0.112 = 67.2 (there can't be a 0.2 of a    

                                                        person, so it's rounded to 67)

168 + 67 = 235

235 people would be expected to say that their favorite pie is apple or blueberry.

14. *There are a total of 60 students.*

a) 12/60 = 0.2 = 20%

   20% prefer Marlin

b) 14/60 = 0.12 = 12%

   12% prefer Dolphins

c) Seahawks: 9/60 = 0.15 = 15%

  Sharks: 20/60 = 0.33 = 33.33%%

   15% + 33.33% = 48.33% prefer seahawks or sharks as their mascot.

d) If there are 1,400 students in the school, how many would you expect to choose the Penguins as their favorite mascots.

   Penguins: 5/60 = 0.083 = 8.33%

If there were 1,400 students:

    Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 of a    

                                                        person, so it's rounded to 116)

116 students would be expected to say that their favorite mascot is a Penguin.

15. *There are a total of 75 people.*

a) 6/75 = 0.2 = 20%

   20% prefer Science fiction

b) Out of 500 people, how many would you expect to report mystery as their favorite genre?

   Mystery: 7/75 = 0.093 = 9.3%

If there were 500 people:

    Mystery: 500*0.093 = 46.5 (there can't be a 0.5 of a    

                                                        person, so it's rounded to 46)

46 people would be expected to report mystery as their favorite genre.

c) If there are 1,600 people, how many would you expect to report drama, history, or romance as their favorite genre?

   Drama: 16/75 = 0.2133= 21.33%

   History: 12/75 = 0.16 = 16%

   Romance: 10/75 = 0.1333 = 13.33%

If there were 1,600 students:

    Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 percent of a    

                                                        person, so it's rounded to 116)

   Drama: 1,600*0.2133 = 341.28 (there can't be a 0.28 of a    

                                                        person, so it's rounded to 341)

   History: 1,600*0.16 = 256

   Romance: 1,600*0.1333 = 213.28(there can't be a 0.28 percent of a    

                                                        person, so it's rounded to 213)

341 + 256 + 213 = 810

810 people would be expected to report drama, history, or romance as their favorite genre.

Hope this helps!

Answer:

26,620

Step-by-step explanation:

1 year: 20,000 x 0.10 = 2000

2 years: 22,000 x 0.10 = 2200

3 years: 24200 x 0.10 = 2420

2420 + 24200 = 26620

Have an amazing day!!

Please rate and mark brainliest!!!!

Theres a button on the question taht you are wanting to answer. Sometimes it will allow one other times it is 2

Hello!

To solve this exercise, we must use the formula below:

[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]

Knowing these values, let's replace them in the formula to obtain r:

[tex]\mathrm{62.8=2\cdot\ 3.14\cdot r}\\\mathrm{62.8=6.28r}\\\mathrm{6.28r=62.8}\\\\\mathrm{r=\dfrac{62.8}{6.28}}\\\\\boxed{\mathrm{r=10}}[/tex]

So, the radius of this circle is 10cm.

Hope this helps!

HEY if you remove it you will get a curse

Answer:

x-73

Step-by-step explanation:

Let x=Jose's height.  If it says "less than," then that is subtraction.  Since Jose's height is not defined, there is no specific number that can be used to describe "73 less than twice Jose's height," so I use the variable x, and then subtract 73.

Answer:

16 triangles I am pretty sure.

Step-by-step explanation:

Answer:

0.78

Step-by-step explanation:

78 / 100

note that 100% = 1

Answer:

the answer b

Step-by-step explanation:

te answer b because I guessed

Answer:

3/5

Step-by-step explanation:

3/5=6/10

3/5=60/100

The launching of the hot air balloon is from the ocean beach is an illustration of a projectile motion

The function is given as:

[tex]p(x) =-\frac{2}{2500}x^2 + 0.7x[/tex]

Differentiate

[tex]p'(x) =-\frac{4}{2500}x + 0.7[/tex]

Set to 0

[tex]-\frac{4}{2500}x + 0.7 = 0[/tex]

Subtract 0.7 from both sides

[tex]-\frac{4}{2500}x =- 0.7[/tex]

Multiply through by -2500/4

[tex]x =437.5[/tex]

Hence, the horizontal distance which a maximum height is attained is 437.5 meters

In (a), we have:

[tex]x =437.5[/tex]

Substitute [tex]x =437.5[/tex] in p(x)

[tex]p(437.5) =-\frac{2}{2500} * 437.5^2 + 0.7 * 437.5[/tex]

Evaluate

[tex]p(437.5) =153.125[/tex]

Hence, the maximum height above the sea level is 153.125 metres

In (b), the maximum height above the sea level is 153.125 metres

The ratio of the height on land and sea is given as:

Land : Sea = 2 m : 20 m

For the maximum height, we have:

Land : 153.125 m= 2 m : 20 m

Express as fraction

Land / 153.125 m = 2 /20

Multiply both sides by 153.125

Land = 15.3125

Approximate

Land = 15.3

Hence, the maximum height above the ground level is 15.3 meters

We have:

[tex]p(x) =-\frac{2}{2500}x^2 + 0.7x[/tex]

Substitute 50 for P(x)

[tex]-\frac{2}{2500}x^2 + 0.7x = 50[/tex]

Using a graphing calculator, we have:

x = 78.465 and 796.535

Hence, the horizontal distances where the balloon 50 m above the ground are 78.465 and 796.535 meters

Read more about projectile motion at:

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Answer:

[tex]x=8[/tex]

Step-by-step explanation:

For an equation in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex]. In this case, the axis of symmetry is the line [tex]x=8[/tex]

Answer:

6

Step-by-step explanation:

Divide the amount of eggs by the amount of people this gives you the amount of eggs needed for one person then times by 9

(4÷6) x9

Answer:

that would be the circumference of  the circle

= 2 pi  r

= 2 * pi * 2

=  6.28 feet   to 2 DP's.

Step-by-step explanation:

Answer:

6 ft

Step-by-step explanation:

Convert the unit of length. Round the answer to one decimal place if necessary. 180 cm ≈ _____ ft

[tex]Ft=\frac{cm}{30.48}\\\\Ft=\frac{180}{30.48}\\\\Ft=5.90551181\\\\Ft\approx 6[/tex]

180 cm ≈ 6 ft

Hope this helps!

Step-by-step explanation:

please mark me as brainlest

The value of x in the direct and indirect varoation is calculated as: x = 2.

If k is the constant of proportionality among two or more variables (x, y, z), a combined equation of direct and indirect variation is, z = kx/y, if z varies directly with x and indirectly with y.

With the information stated, we would have the following:

z = kx/y³

Find k, by plugging in the values of x, y, and z:

12 = k(8/2³)

12 = k(8/8)

12 = k

k = 12

Find x when y = 1 and z = 24:

24 = 12(x)/1³

24 = 12x

24/12 = x

x = 2.

Therefore, the value of x in the direct and indirect varoation is calculated as: x = 2.

Learn more about direct and indirect varoationon:

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Answer:

570 ft²

Step-by-step explanation:

Basically, you find the area of Juan and Matthew's gardens then add them up.  

First let's find the area of Juan's garden.

Area is equal to length times width ([tex]a = lw[/tex])

So you do 16 * 12 which equals 192.

Now let's find the area of Matthew's garden.

So you do 18 * 21 which equals 378.

Then you add up both areas.

192 + 378 = 570

Answer:

10 large bags and 11 small bags because 10*9=90 and 156-90=66 and 6*11=66 so 90+66=156

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

EZ

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=−2

hope this is what your looking for

Answer:

x = -2

Step-by-step explanation:

[tex]-4+x=\frac{3}{4}x-\frac{9}{2}[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]-4+x+4=\frac{3}{4}x-\frac{9}{2}+4[/tex]

[tex]Simplify[/tex]

[tex]x=-\frac{1}{2}+\frac{3}{4}x[/tex]

[tex]\mathrm{Subtract\:}\frac{3}{4}x\mathrm{\:from\:both\:sides}[/tex]

[tex]x-\frac{3}{4}x=-\frac{1}{2}+\frac{3}{4}x-\frac{3}{4}x[/tex]

[tex]\frac{1}{4}x=-\frac{1}{2}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]

[tex]4\cdot \frac{1}{4}x=4\left(-\frac{1}{2}\right)[/tex]

[tex]x=-2[/tex]

~lenvy~

Using the z-distribution, as we have the standard deviation for the population, it is found that 215 students must be sampled.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The margin of error is:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The margin of error is of M = 0.25, with a population standard deviation of [tex]\sigma = 1.87[/tex], hence we solve for n to find the minimum sample size.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.25 = 1.96\frac{1.87}{\sqrt{n}}[/tex]

[tex]0.25\sqrt{n} = 1.96(1.87)[/tex]

[tex]\sqrt{n} = \frac{1.96(1.87)}{0.25}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96(1.87)}{0.25}\right)^2[/tex]

[tex]n = 214.9[/tex]

Rounding up, 215 students must be sampled.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

30 cubic feet

Step-by-step explanation:

The volume of a box is found by multiplying the area of the base by the height.  The area of the base is found by multiplying the length by the width.  (3 x 5)(2) = 15(2) = 30 cubic feet

Answer:

20% of 500, 20% of 100, 5% of 100

Step-by-step explanation:

20% of 100 = 20

20% of 500 = 100

5% of 100 = 5

Answer:

En la Imagen adjunta

Step-by-step explanation:

Toca Para Abrir Imagen

Espero haberte ayudado si es así dame Corona

Answer:

One Solution

Step-by-step explanation:

Given:

6 + x/5 = x/5 - 5 - 3x/10

To Find:

How many solutions?

Solve:

[tex]6+\frac{x}{5}=\frac{x}{5}-5-\frac{3x}{10}[/tex]

[tex]\mathrm{Subtract\:}\frac{x}{5}\mathrm{\:from\:both\:sides}[/tex]

[tex]6+\frac{x}{5}-\frac{x}{5}=\frac{x}{5}-5-\frac{3x}{10}-\frac{x}{5}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]6=-5-\frac{3x}{10}[/tex]

[tex]\mathrm{Add\:}5\mathrm{\:to\:both\:sides}[/tex]

[tex]-5-\frac{3x}{10}+5=6+5[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-\frac{3x}{10}=11[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]

[tex]10\left(-\frac{3x}{10}\right)=11\cdot \:10[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-3x=110[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-3[/tex]

[tex]\frac{-3x}{-3}=\frac{110}{-3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-\frac{110}{3}\;or\;\left(\mathrm{In \;Decimal\;form}:\quad x=-36.66666\dots \right)[/tex]

~lenvy~

Answer:

[tex]\frac{2\pi }{3};\frac{4\pi }{3}.[/tex]

Step-by-step explanation:

1) cos(θ)=-0.5;

theta=±2π/3+2πn, where n∈Z;

2) if θ∈[0;360], then

[tex]\theta=\frac{2\pi }{3}; \frac{4\pi }{3}.[/tex]