Factorize: (a+b)^2 + 4 (a+b)+ 4

Answer:

The volume of a cylinder is 325π.

Step-by-step explanation:

The volume of a cylinder is given by:

[tex]V = \pi r^{2}h[/tex]

Where:

h: is the height

r: is the radius = 5

We can find "h" from the surface area of the cylinder:

[tex]SA = 2\pi rh + 2\pi r^{2} = 180\pi[/tex]

[tex] h = \frac{180\pi - 2\pi r^{2}}{2\pi r} = \frac{180\pi - 2\pi (5)^{2}}{2\pi*5} = 13 [/tex]

Hence, the volume is:

[tex]V = \pi r^{2}h = \pi*(5)^{2}*13 = 325 \pi[/tex]

Therefore, the volume of a cylinder is 325π.

I hope it helps you!

Answer:

4

Step-by-step explanation:

because its 4

The length of Line segment AC is 12ft.

The given triangle ABC is similar to triangle BMN

The length of AM = BM = 4ft

The length AB = BM + AM = 4 ft + 4ft = 8ft

The length of Line segment AC is calculated by using similar triangle proportions as follows;

[tex]\frac{AB}{BM} = \frac{AC}{MN} \\\\\frac{8}{4} = \frac{AC}{6} \\\\2 = \frac{AC}{6}\\\\AC = 2(6)\\\\AC = 12 \ ft[/tex]

Learn more about similar triangles here: https://brainly.com/question/11899908

Answer:the answer is b

Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped

Answer:

0.625 liters

Step-by-step explanation:

Given data

volume drained= 2.5Liters

Time= 4 days

Now the if 4 days leakage will produce a volume of 2.5Liters

Then 1 day will produce a volume of x liters

cross multiply

4x= 2.5

x= 2.5/4

x= 0.625 liters per day

Hence, each day will produce  0.625 liters

Answer:

What are we supposed to do on this

Step-by-step explanation:

Answer:   the dilated point will be 2 units at the right of P, and 3 units above P.

Step-by-step explanation:

Answer:  The total number of colored papers is 18.

Step-by-step explanation:

Given: The ratio of coloured papers to wight papers is 3:8.

Let total number of colored papers = 3x

and total number of wight papers = 8x

Since, there are 48 wight papers , then

[tex]8x=48[/tex]

[tex]\Rightarrow\ x=6[/tex]

Now , number of colored papers = 3(6)=18

Hence, the total number of colored papers is 18.

Answer:

6 as b

7 as a

Step-by-step explanation:

if indeed the scale is 3 to 1, this is correct! the answer is B

Answer:

The dependent variable is y (the amount paid)

Step-by-step explanation:

Given

[tex]y = 5x[/tex]

Where

[tex]x \to[/tex] number of movies

[tex]y \to[/tex] amount paid

Required

The dependent variable

From the question, we have:

[tex]y = 5x[/tex]

This means that the value of y is determined by the value of x.

Take for instance:

[tex]x = 2[/tex]

The value of y will be:

[tex]y =5*2 = 10[/tex]

If x changes (say; x = 12), y will also change

[tex]y =5*12 = 60[/tex]

Hence, y is the dependent variable

Step-by-step explanation:

heyYYYYYYYY I HAVE AGREAT APP FOE U. it's called algebrator use that and it'll help ya

1 min = 60 seconds

1 hour = 60 mins = 60 x 60 = 3600 seconds .

Answer:

If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).

Actually... It's from web

Answer:

x = 1, 2, 3, 4

Step-by-step explanation:

15x - 43 < 5x + 2

15x - 5x - 43 < 2

15x - 5x < 2 + 43

10x < 45

x < 4.5

x = 1, 2, 3, 4

The required value of the x in the given inequality is x < 4.5.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
Given expression,
15x - 43 < 5x + 2

Adding 43 on both sides,
15x < 5x + 45

Subtract 5x from both sides,
10x < 45

Divide the inequality by 10
x < 4.5

Thus, the required value of the x in the given inequality is x < 4.5.

Learn more about inequality here:

brainly.com/question/14098842

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Answer:

try 144

Step-by-step explanation:

m<E is basically just ot asking you to find the angle of E, i think :').

And since all angles equal to 180, 180-36=144

(hope ots right)

Answer: Wowwww that ain't good at all and sooo not fair if Peter worked three more days than Jill but still only got twenty bucks. That's pretty sad.

Step-by-step explanation:

Answer:

5.0625 is 1.5 to the fourth power

Answer:

8

Step-by-step explanation:

4 to the power of 3 is 64.

64 ÷ (7 − 3) × 2

64 ÷ (4) × 2

64 ÷ 8

8

Your answer is 8.

I hope this helps, have a nice day.

Answer:

7/15

Step-by-step explanation:

P(appetizers with cheese) = number with cheese / total = 1/5

P(entrees with cheese) = number with cheese / total = 1/3

It is the P(a) + P(b) - P(a and b)

We cannot double count the cheese and cheese event)

P( cheese and cheese) = 1/3 * 1/5 = 1/15

1/5 + 1/3 - 1/15

3/15 + 5/15 -1/15

8/15 - 1/15

7/15

Answer:

221cm squre

Step-by-step explanation:

Step-by-step explanation:

but sorry i can't get the answer of (2x-1) =3 (x+5) because the answer of this came -16

Answer:

4

Step-by-step explanation:

3b=12

Divide each side by 3

3b/3 =12/3

b =4

Answer:

Step-by-step explanation:

Given,

3b = 12

=> b = 12 ÷ 3

=> b = 4 (Ans)

Answer: 4 thousands, 5 hundreds, 7 tens

Step-by-step explanation: 4,570 is pretty easy to break down. The first place value is 0 so nothing for that. As you have it there the tens place values has 7. Next is hundreds and there's a 5 there so 5 hundreds. If the number is 4,570 then it should be 4 thousands not three.

Answer:

a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

in fact if we look at the graph we can see that sausages are 7.5 % and mushrooms 5%, while in the table this datas are inverted.

Answer:

y = 7/2x - 9/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - 6 / 1 - 3

-7 / -2

7/2

y = 7/2x + b

-1 = 7/2(1) + b

-1 = 7/2 + b

-9/2 = b

Answer:

229°

Step-by-step explanation:

(180- 32) + (180 - 99)

148 +81

= 229°

Answer:

Angle a = Angle D

Answer:

A: Angle A  Angle D

Step-by-step explanation:

Answer:

my answer is in this picture. sorry about my presentation and English

Answer:

pythagorean theorem

18

Step-by-step explanation:

Answer:

There are 1,360 pears.

Step-by-step explanation:

Suppose that there are P pears and A apples.

We know that:

"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."

Suppose that all of these are sold after N hours, then:

20*N = A

80*N = P - 80

We also know that:

"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."

60*N = A

20*N = P - 400

Then we have four equations:

20*N = A

80*N = P - 80

60*N = A

20*N = P - 400

From the first one and the second one, we get:

20*N = A = 20*N = P - 400

A = P - 400

Now we have 3 equations:

80*N = P - 80

60*N = A

A = P - 400

Now we can just replace the third equation into the second one, then we get:

60*N = A = P - 400

Now we have two equations:

80*N = P - 80

60*N = P - 400

Now, remember that we want to find the number of pears, so we want to find the value of P.

To do it, we can take the quotient of the two equations, so we get:

(80*N)/(60*N) = (P - 80)/(P - 400)

8/6 = (P - 80)/(P - 400)

Now we can solve this for P

(8/6)*(P - 400) = P - 80

(8/6)*P - (8/6)*400 = P - 80

(8/6)*P - P = (8/6)*400 - 80

(2/6)*P = (8/6)*400 - 80

P = (6/2)*( (8/6)*400 - 80 )

P = 3*( (8/6)*400 - 80 ) = 1,360

There are 1,360 pears.

Answer:

David is six times older than Janet. If David is 48 years old, how old is Janet? Janet is 8 years old.

Step-by-step explanation:

48÷6=8

Answer:

2

Step-by-step explanation:

f(x)= 2x^5-3x^3+2x^2+1

Let x=1

f(1)= 2(1)^5-3(1)^3+2(1)^2+1

    = 2*1 -3*1+2(1) +1

     = 2-3+2+1

     2

[tex] \tt{if \: \: f(x) = 2 {x}^{5} - 3{x}^{3} + 2 {x}^{2} + 1 \: \: then \: \: f(1) = ?}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 {x}^{5} - 3 {x}^{3} + 2 {x}^{2} + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 {(1)}^{5} - 3 {(1)}^{3} + 2 {(1)}^{2} + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 (1) - 3 (1) + 2 (1) + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 + 2 + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 +3}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 \: \: \cancel{ \color{red}- 3 +3}}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 }[/tex]

________

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