Find the lateral area, and surface area of the figure.

Round your answers to the nearest thousandth, if necessary.

Answer:

144

Step-by-step explanation:

You should pick B.

Answer:

The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

Step-by-step explanation:

The area (A) of each pizza is given by:

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

Where:

r: is the radius

For the 12-inch pizza we have:

[tex] A_{12} = \pi (\frac{12 inch}{2})^{2} = 113.1 inch [/tex]

And for the 6-inch pizza we have:

[tex] A_{6} = \pi (\frac{6 inch}{2})^{2} = 28.3 inch [/tex]

The ratio between A₆ and A₁₂ is:

[tex] \frac{A_{6}}{A_{12}} = \frac{28.3 inch}{113.1 inch} = 0.25 = \frac{1}{4} [/tex]

Hence:

[tex] A_{6} = \frac{A_{12}}{4} [/tex]

Therefore, the correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

I hope it helps you!            

The area of the 6-inch pizza is 1/4 the area of the 12-inch pizza

Diameter of pizza A = 12 inch

Diameter of pizza B = 6 inch

Ration of Area of Pizza A to B = [πr1²] / [πr2²]

Ration of Area of Pizza A to B = [(12/2)²] / [(6/2)²]

Ration of Area of Pizza A to B = [(6)²] / [(3)²]

Ration of Area of Pizza A to B = 36 / 9

Ration of Area of Pizza A to B = 4:1

So,

Option "C" is the correct answer of the following question.

https://brainly.com/question/21454181?referrer=searchResults

Answer:

x=6,y=13

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

x+7=2x+1

Solve x+7=2x+1

x=6

Evaluate yy when x=6

y=13

The solution to the system is the complete set of ordered pairs that are valid solutions.

(6,13)

The result can be shown in multiple forms.

Point Form:

(6,13)

Equation Form:

x=6,y=13

9514 1404 393

Answer:

  z² -7

Step-by-step explanation:

A square is indicated using an exponent of 2. "Decreased by 7" means 7 is subtracted.

  z squared, decreased by 7 is ...

  z² - 7

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

In ∆ABC,

As, we have :

So, By angle sum property of triangle :

∠A + ∠B + ∠C = 180°

[tex] \tt : \implies 60\degree + 60\degree + \angle C = 180\degree[/tex]

[tex] \tt : \implies 120\degree + \angle C = 180\degree[/tex]

[tex] \tt : \implies \angle C = 180\degree - 120\degree[/tex]

[tex] \tt : \implies \angle C = 60\degree[/tex]

Now, we have :

As, all angles are of same length, therefore it is a equilateral triangle.

We know that sides of equilateral triangle are equal.

[tex] \tt : \implies AB = BC = AC[/tex]

Now, we have BC = 12 units.

Hence, all sides are of 12 units.

Now, we know that area of equilateral triangle is :

[tex] \large \underline{\boxed{\bf{Area_{(equilateral \: triangle)} = \dfrac{\sqrt{3}}{4} side^{2}}}}[/tex]

[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{4} \times (12 \: units)^{2}[/tex]

[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{\cancel{4}} \times \cancel{144} \: units^{2}[/tex]

[tex] \tt : \implies Area = \sqrt{3} \times 36 \: units^{2}[/tex]

[tex] \tt : \implies Area = 36\sqrt{3} units^{2}[/tex]

So, Area of given triangle is 36√3 units².

Answer:

75.8°

Step-by-step explanation:

x + x + 28.4° = 180°{ being linear pair }

2x = 180° - 28.4°

2x = 151.6°

x = 75. 8°

Hope it will help :)

Answer:

83.96 (approximately)

Step-by-step explanation:

I am not completely sure what the problem is asking, just like the last one, but I believe that you are just supposed to take the inverse of cosine. So, in your calculator, make sure it is in degrees mode, then usually you have to click the 2nd key and then cosine. You use the inverse of cosine when two sides are given, but you are not given the angle.

It should look like:

[tex]cos^{-1}(\frac{4}{38})[/tex], which is approximately 83.96.

Hopefully this is right, if not, please let me know. Good luck.

Answer: 20 children

Step-by-step explanation:

Given

Year 4: 11 cannot swim

Year 5: 21 can swim

Year 6: 18 of 30 can swim

Total 96 children

Total 37 cannot swim

First Step: find the number of people from year 5 who cannot swim

Second Step: find the number of children in year 5

Third Step: find the number of children in year 4 who can swim

Hope this helps!! :)

Please let me know if you have any questions

Answer:

in about 27 days

Step-by-step explanation:

i assumed 30 days per month when i set up this equation:

w = words learned daily

100 + 4w = 180 + 30/30w

100 + 4w = 180 + w

3w = 80

w = 26 2/3

Answer:

3.86 weeks/three weeks

Step-by-step explanation:

x time it takes for thier vocab to be the same in days

so the boy lerns 360 words of spanish in a year

or 360/365 words of spanish per day which is 72/73 words per day

so,

100+4x=180+72x/73

80=288x/73-72x/73

80=216x/73

80*73=5,840

5,840=216x

27.037 days=x

so now we have to divide by seven to get weeks so that is 3.86 weeks.

so some time in week three

Answer: 9/2

Step-by-step explanation:

21=2(6) + 2(?)

21=12 + 2(?)

9=2(?)

(9/2)=?

Answer:

See explanation

Step-by-step explanation:

The answer is either 2r+3 or 2 r + 3

I'm a bit confused because they're kinda the same thing but one of them is spaced out. I don't know if that space means anything.

Anyway if he's scores 3 more than 2 times the points ray scores, that means that he scores twice the amount that ray scores plus 3.

Answer:

15,600 Gallons

Step-by-step explanation:

The 30% of 12000 is 3600 thus, Jessica's family used 15600 gallons of water.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Last used of water = 12000

30% of 12000 = (30/100)12000 = 3600

Water used in the current year = 12000 + 3600 = 15600 gallons.

Hence "The 30% of 12000 is 3600 thus, Jessica's family used 15600 gallons of water".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

2x + 8y = 24 ( subtract 2x from both sides )

8y = - 2x + 24 ( divide all terms by 8 )

y = - [tex]\frac{1}{4}[/tex] x + 3 ← in slope- intercept form

Answer:

1a. x=2 1b. x= -1

Step-by-step explanation:

Answer:

Probably -3

Step-by-step explanation:

If it's going by 3s, then it should be -3.

Answer:

-3

Step-by-step explanation:

Answer:The answer is B.

He can't work more than 20 hours so t+b must be less than or equal to 20.

He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230

Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150

Step-by-step explanation:

Answer:

so which one would beat up who?

Step-by-step explanation:

Answer:

killua is strongest out of all of them so i think hell wjin

Step-by-step explanation:

Answer:

m= 3/7

Step-by-step explanation:

I'm assuming the question is solve for the variable, m.

First step is to isolate the variable

In other words, let's move everything (but m) from the left side to the right side

To move 7 to the right side, we can either divide both sides by 7 or multiply both sides by 1/7 (both equal the same thing)

7/3m × 1/7 = 1 × 1/7

1/3m = 1/7

Now we must move 1/3 from the left to the right side

We can use the reciprocal, 3/1, to do this

1/3m × 3/1 = 1/7 × 3/1

m = 3/7

Answer:

3x+45

/3x /3x

x= 15

Answer:

60 cm ( squared )

Step-by-step explanation:

you can find the area of the trapezoid ( by decomposing it into other shapes ) by separating two triangles, and using the formula to find the area of triangles, which is A= 1/2 ( b x h ) and add the answer to those together ( 16 cm squared and 4 cm squared ), and after that, you can find the area to the rectangle by multiplying the l x w, which is 10 x 4 ( after separating the triangles.). That equals 40, and when you add them all together ( 16 + 4 + 40 ) it equals 60 cm (squared).

Answer:

-2,1,2,0

Step-by-step explanation:

0 your choice to right,still right it to be safe, domain is all x values

Answer:

-29.96

Step-by-step explanation:

You add both numbers, as both are negative, and you get the answer.

Answer:

i think 37237

Step-by-step explanation:

Answer:

I believe you're missing something.

Answer:

Step-by-step explanation:

a = 11.5×3 = 34.5 in²

b = 7.5×11.5 = 86.25 in²

c = a = 34.5 in²

d = b = 86.25 in²

lateral area = 2×34.5 + 2×86.25 = 241.5 in²

Answer:

241.5 in²

Step-by-step explanation:

Answer:

3234

Step-by-step explanation:

The series is arithmetic with a common difference = d = 6

First we need to find the 33rd term.  Use the formula [tex]a_{n} = a_{1} + (n - 1)d[/tex] where n = 33 and [tex]a_{1} = 2[/tex]

[tex]a_{33} = 2 + (33 - 1)6 = 2 + 32(6) = 194[/tex]

Now the formula for the sum of an arithmetic series is [tex]S_{n} = \frac{n(a_{1} + a_{n} )}{2}[/tex]

So, [tex]S_{33} = \frac{33(2 + 194)}{2}[/tex]

          = [tex]\frac{33(196)}{2}[/tex]

          = 3234

Answer:

distributive I'm pretty sure!

Step-by-step explanation:

i hope this helps have a great day:)