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The radius of the base after rotating the rectangle will be 5

Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created is a cylinder.

Let's calculate its radius from the perimeter;

[tex]2p=32[/tex]

[tex]2(b+h)=32[/tex]

[tex]b+h=16[/tex]

[tex]b=16-h[/tex]

Also, [tex]bh=60[/tex]

Thus;

[tex]h(16-h)=60[/tex]

[tex]h^2-16h+60=0[/tex]

Using the online quadratic formula, we have h = 6

Thus; b = 16 - 6 = 10

Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 10/2 = 5.

Thus the radius of the base after rotating the rectangle will be 5

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Answer:

cylinder and 6 units

Step-by-step explanation:

on e2020

Answer:

200g of coffee beans

Step-by-step explanation: 453.592g = 1 pound going by 200 per $3.85 that would be way better than $960

Answer:

200 grams

Step-by-step explanation:

1 pound is 453.592 grams and 200 grams is 0.440925 of a pound. If you paid $3.85 for 200 grams you'd pay a little over $7.70 to get a pound. But if you paid $960 for a pound you'd have to pay a lot more money. So 200 grams of coffee beans is the better buy.

Answer: 4

Step-by-step explanation:

First you do the exponent because of "order of operation", which in this case is 2 to the 2nd power or 2 squared. Then you substract the answer you got by doing 2 squared, which is supposed to give you an answer of 4 which then gets substracted by 2, which leads to the answer being 2 and then you add 2 + 2 and the final answer is 4

Answer:

x=113 degrees

Step-by-step explanation:

Answer:

B. If both sides of an inequality are multiplied or divided by a negative​ number, the direction of the inequality symbol must be reversed.

Step-by-step explanation:

Answer:

A. 720

B. 120

Step-by-step explanation:

To do this you need to do permutation with your calculator

A.

KINDLY has 6 letters

an easy way to do this is by

6 x 5 x 4 x 3 x 2 x 1 = 720

or 6! = 720

B.

6 nPr 3 = 120

or

                n!               6!             6 x 5 x 4 x 3 x 2 x 1             720

P(n, r) = --------   =   ----------   =   -------------------------------   =   -----------   =   120

              (n - r)!        (6 - 3)!                3 x 2 x 1                          6

I hope this helps!

Answer:

R'(-15, 1.5)

S'(-6, 3)

T'(-6, -4.5)

U'(-15, -4.5)

Step-by-step explanation:

Multiply every coordinate by the scale factor k = 3/2 which also 1.5.

R(-10, 1) ---> R'(-15, 1.5)

S(-4, 2) ---> S'(-6, 3)

T(-4, -3) ---> T'(-6, -4.5)

U(-10, -3) ---> U'(-15, -4.5)

Answer:

1.312 I think

Step-by-step explanation:

answer: 1.312

explanation: 8.2×0.16= 1.312

Answer:

Step-by-step explanation:

The domain is the horizontal extent of the function graph. The range is its vertical extent. The arrows on the ends of the lines indicate they extend to negative infinity in the vertical direction, and to ± infinity in the horizontal direction. The maximum value of the function is y=4.

The domain of the function is -∞ < x < ∞.

The range of the function is -∞ < y ≤ 4.

Answer:

23400 x 8/100 = 1872 = the loss  

1872 : 12 = 156= the loss each month  

156/1872*100% = 8.33 % then round it

Answer:

The answer is 3864294.3

Step-by-step explanation:

Answer:

y = [tex]\frac{fa - 24}{15}[/tex]

Step-by-step explanation:

[tex]\frac{15y + 24}{a}[/tex] = f

multiply both sides by a

(15y + 24) = fa

the parenthesis can be removed

15y + 24 = fa

subtract 24 from both sides

15y = fa - 24

divide both sides by 15

y = [tex]\frac{fa - 24}{15}[/tex]

Step-by-step explanation:

Hope this image helps you!!

Answer:

C, A, C

Step-by-step explanation:

1) Angle D corresponds to angle A, so since corresponding angles of similar triangles are congruent, it measures 64 degrees.

2) Angle E corresponds to angle B. To find the measure of angle B, we can start by using the fact that angles F and C correspond. This means that in triangle ABC, we have angles with measures of 64 degrees, 73 degrees, and angle B. It follows that angle B, and thus angle E, measures 43 degrees.

3) By the exterior angle theorem, the measure of angle G is equal to the measure of angles D and F combined. The measure of angle D is 64 degrees, and the measure of angle F is 73 degrees, so angle G measures 137 degrees.

What is 42 + 49 - 9023 + 34830?

Answer: 25898

Explanation:

1. 42 + 49 = 91

2. 91 + -9023 = -8932

3. -8932 + 34830 = 25898

Hey there!

Total = Price+ Sale s tax

=> $64 + $5. 28

=> $69.28

Therefore, Total cost is $69.28

The independent quantity would be the cost of the shoes ($64) and the dependent quantity would be the amount of sales tax ($5.28).

In mathematics, independent and dependent variables are values that vary in relation to one another. The dependent variable is dependent on the independent variable, which means that if the value of the independent variable changes, so will the dependent variable.

In this scenario, the independent quantity would be the cost of the shoes ($64) and the dependent quantity would be the amount of sales tax ($5.28).

The cost of the shoes is the independent variable because it is the value that is being used to calculate the amount of sales tax, which is the dependent variable.

The amount of sales tax depends on the cost of the shoes, hence the name "dependent variable."

To learn more about the independent and dependent variables click here:

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Answer:

Step-by-step explanation:

The slopes of parallel lines are equivalent, so you are correct.

Answer:

y < -9

Step-by-step explanation:

-8y < 72

~Divide -8 to both sides

y < -9

Best of Luck!

Answer: y=-x+4

Step-by-step explanation:

Answer: -3t^2 + 39t

Step-by-step explanation:

Answer: 32.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of hours Annie travelled be a, and same of Brian be b

Then we have

Substituting a in the first equation

Then finding a

So the answer is:

Answer:

390 square miles I think

Answer:

$44.19 it is correct answer

Answer:

yeah

Step-by-step explanation:

The natural numbers, whole numbers, and integers are all subsets of rational numbers. In other words, an irrational number is a number that can not be written as one integer over another. It is a non-repeating, non-terminating decimal.

Answer:

No irrationals are integers. Irrational numbers are by definition *not rational*, and all integers can represented as the rational

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Find the perimeter of the room, which is the sum of all four sides:

12 + 12 + 7 + 7 = 38 feet.

The cost would be 38 ft x 0.97 per foot = $36.86

Answer:

44cm

Step-by-step explanation:

The formula to find the circumference of a circle is :

Here,

r ⇒ radius ⇒ 7cm

π ⇒ 22/7

Let us find now.

C = 2 π r

   = 2 × [tex]\frac{22}{7}[/tex] × 7

   = 14 ×  [tex]\frac{22}{7}[/tex]

   = [tex]\frac{308}{7}[/tex]

   = 44 cm