The volume of a cylinder is 5070 pi cm3. If the height is 30 cm, what is the radius?

Answer:

∠G ≅  ∠C

∠F ≅  ∠D

∠H ≅  ∠E

Step-by-step explanation:

Answer:

[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)= 22 - 8\sqrt{5}[/tex]

Step-by-step explanation:

Given

[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)[/tex]

Required

Simplify

[tex](2\sqrt{5} - 4)(3\sqrt{5}+2).[/tex]

Expand brackets

[tex]2\sqrt{5}(3\sqrt{5}+2). - 4(3\sqrt{5}+2).[/tex]

Open each bracket

[tex]2\sqrt{5}*3\sqrt{5}+2\sqrt{5}*2 - 4*3\sqrt{5}-4*2[/tex]

[tex]6 * 5 + 4\sqrt{5} - 12\sqrt{5} - 8[/tex]

[tex]30 + 4\sqrt{5} - 12\sqrt{5} - 8[/tex]

Collect Like Terms

[tex]- 8+30 + 4\sqrt{5} - 12\sqrt{5}[/tex]

[tex]22 - 8\sqrt{5}[/tex]

Hence:

[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)= 22 - 8\sqrt{5}[/tex]

Answer:

1.  1 hour per day

2. sorry i don't know the answer

Step-by-step explanation:

7hours 30minutes - 1hour 30minutes = 6hours

6 divided by 6 = 1hour

Answer: 127.23 in. ^2

Step-by-step explanation: if the radious is 9 with is half of 18in that area of a whole cicle would be 254.47in. so just divide by 2

Answer:

Both

Step-by-step explanation:

You can round to whatever digit place you want.

But normally a problem would say something like 'round to the nearest hundredth' or 'round to the nearest integer'

Answer:

both

Step-by-step explanation:

if rounded to nearest integer, it is 10. if to 3 decimal places or 4 significant figures, it is 9.980

Answer:

n < 6

Step-by-step explanation:

I multiplied the entire equation by 3 to remove the fraction. This got me:

12 + n < 18

I then subtracted 12 (inverse operations) to get:

n < 6

I hope this helps!

Answer:

n=1

Step-by-step explanation:   n/3=3+4 is less than 6

Answer:

x=√2, x=-√2, x= 3 and x=-3

Step-by-step explanation:

We need to solve the equation x^4 - 11x^2+18=0  

We can replace x^4 = u^2 and x^2 = u

So, the equation will become

u^2 -11u+18 = 0

Factorizing the above equation:

u^2 -9u-2u+18 =0

u(u-9)-2(u-9)=0

(u-2)(u-9)=0

u=2, u=9

As, u = x^2, Putting back the value:

x^2 =2 , x^2 =9  

taking square roots:

√x^2 =√2 ,√x^2=√9  

x=±√2 , x = ±3

so, x=√2, x=-√2, x= 3 and x=-3

Answer:

The second answer is correct.

Step-by-step explanation:

Mark brainliest if correct please

Answer:

small dogs= 5

large dogs= 3

Step-by-step explanation:

Step one:

given data

let the  number of small dogs be x

and the number of large dogs be y

Ryan earns $5 for each small dog he walks and $8 for each large dog he walks.

He walked 8 dogs and made a total of $49

so

5x+8y=49----------1

x+y=8---------------2

x=8-y

5(8-y)+8y=49

40-5y+8y=49

collect like terms

3y= 49-40

3y=9

divide both sides by 3

y=9/3

y=3

put y= 3 in eqn 2

x+3=8

x=8-3

x=5

Answer:

h = 3   x = 1

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

3 out of the ten beans are orange

3/10=30%

Answer:

The answer is 30%.

Step-by-step explanation:

There are 2 purple, 1 red, 4 yellow, and 3 orange jelly beans. If you add all those together, you will get 10. So, 3 out of the 10 jelly beans are orange. That is 3/10 in fraction form. 3/10 equals to 30%, so that is your answer.  

Answer:

a

Step-by-step explanation:

because it is more then eight numbers

Answer:

180 inches

Step-by-step explanation:

150/5 = 30

so 30 x 6 = 180

Answer:

180 inches

Step-by-step explanation:

I took the quiz

Answer:

1.8 my brotha

Step-by-step explanation:

por que si es tru

Answer:

6x + 25

Step-by-step explanation

Distribute 6 through the parenthesis

Then add 24 and 1 to get 25

then you end up with 6x + 25

Answer:

6x+25

Step-by-step explanation:

6x+24+1 first distribute 6 into (x+4)

then add all your constants 24+1

then u get 6x+25,ur answer

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-(-2 + 9)  Equation/Question

Step 2

-(-2 + 9)  Simplify

-(-2 + 9)

Step 3

-(-2 + 9)  Solve by adding

-(7)

=-7

Answer

-7

Answer:

[tex]x^{\frac{9}{7}} = \sqrt[7]{x^9}[/tex]

Step-by-step explanation:

You can solve this by realising that the denominator of a fractional exponent can be expressed as the base of a radical.

Note also that the order does not matter.  You could also express it as

[tex]\sqrt[7]{x}^9[/tex]

The reason this works is that you're effectively breaking the exponent into fractions.  The first answer is the equivalent of:

[tex](x^9)^{1/7}[/tex]

and the second would be:

[tex](x^{1/7})^9[/tex]

In both cases, the exponents would be multiplied, giving the same result.

Answer:

C

Step-by-step explanation:

180 - 42 - 38 = 100

Answer:

it is the third option because -3.2 is greater than -5.4

Step-by-step explanation:

Answer:

2x^{2} + \frac{3}{2} x - 5

Step-by-step explanation:

(f+g)(x) = f(x)+g(x)

(f+g)(x)= [tex]\frac{x}{2} -2[/tex] + [tex]2x^{2} +x-3[/tex] = [tex]2x^{2} + \frac{3}{2} x - 5[/tex]

Given :  −3 + 5 + 6g = 11 − 3g

To find :  The variable g

Solution:

Isolate and solve for the variable g in the equation −3 + 5 + 6g = 11 − 3g

Steps:

−3 + 5 + 6g = 11 − 3g

2 + 6g = 11 − 3g

6g = −3g + 9

9g = 9

g = 1

Hence,

Answer: g = 1

Answer:

[tex]y = -6x + 39[/tex]

Step-by-step explanation:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of x when y = 0).

We have that the slope is m = -6:

So [tex]y = -6x + b[/tex]

Contains point (5,9):

This means that when [tex]x = 5, y = 9[/tex]. We replace this into the equation to find b. So

[tex]y = -6x + b[/tex]

[tex]9 = -6(5) + b[/tex]

[tex]b = 39[/tex]

So

[tex]y = -6x + 39[/tex]

Answer:

What type of math is this?

Step-by-step explanation:

question can u put a picture that looks more clear is blury

Answer:

-4.8+2.5-7.8

= -10.1

Step-by-step explanation:

Answer:

step two added the 9 to each side :)

Answer:

h= 6.8

Step-by-step explanation:

Answer:

The country's population decreased about 5.8 % during this time period.

Step-by-step explanation:

Population in 1990 = 164 million

Population in 2010 = 155 million

Determine the percent decrease

The formula used is: [tex]Percent\:Decrease=\frac{Initial\:Value-New\:Value}{New\:Value}\times 100[/tex]

We have :

Initial Value = 164 million (164,000,000)

New Value = 155 million (155,000,000)

Finding percent decrease

[tex]Percent\:Decrease=\frac{Initial\:Value-New\:Value}{New\:Value}\times 100\\Percent\:Decrease=\frac{164,000,000-155,000,000}{155,000,000}\times 100\\Percent\:Decrease=\frac{9,000,000}{155,000,000}\times 100\\Percent\:Decrease=5.8\%[/tex]

So, The country's population decreased about 5.8 % during this time period.

Answer: (5/3, -13/3)

Step-by-step explanation: