A right circular cylinder has a surface area of 66π. If the height of the cylinder is 8, find the diameter of the base.

Answer:

2x² + 2x - 24

Step-by-step explanation:

We can use the FOIL method to multiply the terms together and then find the values in our trinomial. First, the F in FOIL. It stands for first, and we need to multiply the first terms in the two expressions. These terms are 2x and x. Multiplying 2x by x gives us 2x², so that's our first term.

Next, the O in FOIL. It stands for outside, and we need to multiply the terms on the very left and the very right. These are 2x and -3, and multiplying 2x by -3 gives us -6x. That's our second term.

Now, the I in FOIL. It stands for inside, so we need to multiply the terms in the middle of the expressions. Those are 8 and x, and we multiply those together to get 8x. That's our third term.

Finally, the L in FOIL. This stands for last; we need to multiply the last terms of each expression. Those are 8 and -3, and we can multiply those to get -24. Now we can get all our terms added together and simplify as needed.

2x² - 6x + 8x - 24

We can simplify -6x and 8x since they are like terms.

2x² + 2x - 24

And there is our trinomial. Hopefully that's helpful! :)

Answer:

5/8

Step-by-step explanation:

First you need to reduce the fractions then you choose a common denominator to calculate:6/12=1/2 then you see the you see 1/4 can be a common denominator so you equal 1/2 to the denominator by 4, which means multiplying 2 by both the numerator and denominator, we get 2/4 after that you add and subtract in parentheses and you will get 1/4 then you multiply by 5 to get 5/4 the finally you have to plus 0,5 you will get 7/4 done.

Answer:

x>22

Step-by-step explanation:

3(x+4)>18

3x+12> 54

3x>66

x>22

Answer:

Distance = 4

Step-by-step explanation:

Given the linear equation of line ℓ, y = 5 which is a horizontal line in which its slope, m = 0 (zero slope), and each of the x-coordinates along the line have the same y-coordinate of y = 5.

In order to determine the distance of the horizontal line from the given point Q, (0, 1), use the following distance formula:

[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]

Choose any x-coordinate to pair with the y-coordinate, y = 5. Let's use the y-intercept, (0, 5).

Let  (x₁, y₁) = (0, 1)  

      (x₂, y₂) = (0, 5)  

Substitute these values into the distance formula:

[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]

[tex]d = \sqrt{(0 - 0)^{2} + (5 - 1)^{2}}[/tex]  

[tex]d = \sqrt{(4)^{2}}[/tex]

[tex]d = \sqrt{16}[/tex]

d = 4  

Therefore, the distance of line ℓ from point Q is 4.

Answer:

y=mx+c

0=m(4)+c

c=4m

positive slope

Answer:

-11.8

Step-by-step explanation:

Given:

-3.4 to 12.4        increased  (difference = 15.8)

12.4 to 20.4      decreased (difference = 8)

20.4 to 3.2        increased  (difference = 17.2)

To find:

Final temperature.

Solution:

As we noticed, this is a pattern of increase, decrease, increase... (and so on and so forth). From this alone, we have gotten the clue that the temperature is going to decrease. But here is the thing, How far will it decrease?

Use the difference of the starting result to find the ending result.

3.2 - 15

= -11.8

Therefore, the final temperature is -11.8.

Answer:

10[tex]x^{2}[/tex]+x-21

Step-by-step explanation:

you just do (5x-7)(2x+3) and foil it out

Answer:

the answer is B and C, because B equals .57 and C is .666 continuous

Answer:

C

Step-by-step explanation:

Turn everything into a fraction (round if needed)

4/7 = 0.571

A. 2/5 = 0.4 (0.4 < 0.57) since 0.4 is smaller than 0.57, it’s not A.

B. 0.57 (0.57 < 0.571) 0.56 is less than 0.571, so the answer could not be B.

C. 2/3 = 0.67 (0.67 > 0.57) 0.67 is greater than 0.571, meaning the answer could be C.

Answer:

Ti lah 13435364646166161611646646767676797979494

Answer:

I can't see the file

Step-by-step explanation:

Answer:

20,000 feet

Step-by-step explanation:

Based on the initial altitude and the rate that the plane is descending, the relevant equation is = 30,000 - 2,000x. The altitude after 5 minutes is 20,000 feet above sea level.

The plane begins at 30,000 feet above ground and is descending at 2,000 feet per minute. The relevant equation after x minutes is:

= Initial altitude - (Descent in feet per minute x Number of minutes)

Plugging in the values gives:

= 30,000 - (2,000 × x)

= 30,000 - 2,000x

creds to Parrain

Answer: 24km

Step-by-step explanation:

given 1cm : 8km

distance between cafe and restaurant upply store= 3cm

Real distance = 3x8 =24 km

Answer:

20

Step-by-step explanation:Because thats the last two digets

The prime factorization of 720 using exponents is 2⁴×3²×5.

The given number is 720.

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.

The factors of 720 are

720 = 2×2×2×2×3×3×5

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

Now, 2×2×2×2×3×3×5 = 2⁴×3²×5

Therefore, the prime factorization of 720 using exponents is 2⁴×3²×5.

Learn more about the prime factorisation here:

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Answer:

saya tidak ingin mengatakannya tapi kalian akan menjadi gila ya

Answer:

i can see a really tiny 0.5 next to both of them

2.5+2.5=5

tadaaaaa

Step-by-step explanation:

Step-by-step explanation:

from which text book please

Answer:

Step-by-step explanation:

equation with a variable on both sides that equal 27

x +20 = 20 + 4 -x +10

Answer:

16)  7⁻²

17) -1⁻²

Step-by-step explanation:

plug in the x=, y=, and n= into the equation.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve for x ~

Answer:

[tex]\boxed{\blue{ = \frac{196}{3}}} [/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

3x+2=198

Step 1: Subtract 2 from both sides.

3x+2−2=198−2

3x=196

Step 2: Divide both sides by 3.

[tex] \tt \: \frac{3x}{3} = \frac{196}{3} [/tex]

Result:

[tex]\boxed{\underline{ x = \frac{196}{3}}} [/tex]

Answer:

Earning 10,000 per month.

Step-by-step explanation:

Since a "180" usually refers to an opposite, the opposite of "losing 10,000 per month" would happen.

So, the company would be earning money instead of losing money.

Answer:

A = $171,475, B = $119,860

Step-by-step explanation:

A represents the salary of the governor of state A.

B represents the salary of the governor of state B.

A is $51615 larger than B, so you get the equation:

A = B + 51615

The total of the two salaries is $291335, so you can the second equation:

A + B = 291335

Using the first equation, substitute the quantity (B + 51615) for A in the second equation.

(B + 51615) + B = 291335

2B + 51615 = 291335

2B = 239720

B = 119860

Plug this value of B back into either of the equations.

A = B + 51615 = 119860 + 51615 = 171475

Answer:

x=4

Step-by-step explanation:

Four less than the product of a number and 8:

8x−4

is twice the sum of the number and 10, so

8x−4=2(x+10)

Simplify.

8x−4=2x+20

Add 4 to both sides, which is

8x=2x+24

Subtract 2x from both sides:

6x=24

Divide 6 from both sides to isolate the x

x=4

-how I got 20

8x-4=2(x+10) x=8 so 8+10=18 18+2=20

also sorry for posting the answer in the comments and then making an answer after you saw i just wanted da points and hope it helped you :)

9514 1404 393

Answer:

  B.  False

Step-by-step explanation:

The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.

There is nothing in the diagram to require the triangles be congruent.

With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.

With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.

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Answer:

3

Step-by-step explanation:

each friend would have 3 pizzas

Answer:

Aling Mely  buy 31/8 kg or 3.875 kg or 3 7/8 kg of nuts.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]1 \dfrac{3}{4}+ \dfrac{5}{8}+ 1\dfrac{1}{2} = \dfrac{7}{4}+ \dfrac{5}{8} + \dfrac{3}{2}\\\\\\LCM = 8\\\\= \dfrac{7*2}{4*2}+ \dfrac{5}{8}+ \dfrac{3*4}{2*4}\\\\\\= \dfrac{14}{8}+ \dfrac{5}{8}+ \dfrac{12}{8}\\\\\\= \dfrac{14+5+12}{8}= \dfrac{31}{8}\\\\\\= 3 \dfrac{7}{8} \ Kg[/tex]

Answer:

75

Step-by-step explanation:

If we go from the bottom to the line that averages the sold cones by temperature (I forget its exact name), and then go to the left from that exact spot, it appears to be 75 cones.

Answer:

two lawns.....

...........

Genesis can mow 2 lawns per hour.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Genesis mows in 1/6 hour =1/3 lawns

To find, mow per hour,

∴ in 1/6 hours =1/3 lawn,

⇒1 hour = 6×1/3 lawn

⇒1 hour = 2 lawns.

So, In 1 hour, Genesis can mow 2 lawns.

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