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Brand A hat is more preferable with largest volume i.e. 565.2 cu. inches.

A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top.

Here, Given data are:

Height of cone for Brand A = 15 in.

Radius of cone of Brand A =6 in.

Volume of Cone of brand A = [tex]\frac{1}{3}\pi r^2h[/tex]

               V =[tex]\frac{1}{3}X 3.14X6^2X15[/tex]

               V = 565.2 cu. in.

Height of cone for Brand B = 18 in.

Radius of cone of Brand B =5 in.

Volume of Cone of brand A = [tex]\frac{1}{3}\pi r^2h[/tex]

               V =[tex]\frac{1}{3}X 3.14X5^2X18[/tex]

               V = 471 cu. in.

Volume of brand A > volume of brand B.

Thus, Brand A hat is more preferable with largest volume i.e. 565.2 cu. inches.

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Answer:

Step-by-step explanation:

1. ok so you need to use Pythagoras which is a^2 + b^2 = c^2

substituting 16 and 12 into 'a' and 'b' you get 16^2 + 12^2 = c^2

256 + 144 = c^2

400 = c^2 (square root each side to get ride of the square)

c = 20cm

2. doing the same thing you get c = 22.36 in

3. again doing it you get c = 15Ft

 Hope this helps!

The total distance will Sara run in a 12-week training session is 1230 .

An arithmetic progression is a sequence of numbers or variables in which the difference between consecutive terms is the same. There can be an infinite number of terms in an AP.

The formula for finding the sum of first n terms of an AP given in the form of "a, a + d, a+2d, a+3d, ....., a+(n-1)d" is:

[tex]S _{n}[/tex]= [tex]\frac{n}{2}[/tex] [tex][2a + (n-1)d][/tex]

According to the question

Samantha is training to run a marathon.

She runs for five days each week

The first week she runs 4 km each day.  = 5 × 4 = 20

The second week, she runs 7 km each day. = 5 × 7 = 35

During each successive week , each day she runs 3 km farther than she ran the days of the previous week.

The third week, she runs 10 km each day. = 5 ×10 = 50

So on

Sara run in a 12-week training session

As this sequence is in AP  

First term (a) = 20

common difference (d) = 35 - 20

                                      = 15

Now,

Sum of 12 terms in AP

[tex]S _{n}[/tex]= [tex]\frac{n}{2}[/tex] × [2a + (n-1)d]

Substituting the values, a = 20, d = 15 and n = 12 in the above formula

[tex]S _{12}[/tex] = [tex]\frac{12}{2}[/tex] × [tex][2(20) + (12-1)15][/tex]

[tex]S _{12}[/tex] = [tex]6 [40 + (11)15}[/tex]

[tex]S _{12}[/tex] = [tex]6 [205][/tex]

[tex]S _{12}[/tex] = [tex]1,230[/tex]

Hence, the total distance will Sara run in a 12-week training session is 1230 .

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Answer:

im sorry i really need some point for this exam

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

16x-80+18=4x+22

16x-62=4x+22

12x-62=22

12x=84

x=7

Answer:

18 months

Step-by-step explanation:

12 + 6 months

Answer:

107

Step-by-step explanation:

(3+10^2)+4

10^2=10x10=100

3+100=103

103+4=107

Answer:

107

Step-by-step explanation:

Pemdas - Parantheses First

3+10 2 (pemdas)

10*10=100+3=103 Parantheses Done!

103+4=107

Answer:  6000ft2

Step-by-step explanation: Multiply 15*20*20 to find the area of a figure.

Answer:

3b and 2a

equation - y = 3b + 2a

Step-by-step explanation:

It's 3 dollars for a banana so it'd be 3b and it's 2 for an apple so it's 2a.

I hope this helps!

Answer:

He spent 2a+3b

for

a is apples quantity

b is bananas quantity

A) (3,-5)

Go over to the right 3 and down 5

B) (-4,-1)

Go over to the left 4 and down 1

Answer:

A - (3, -5)

B - (-4, -1)

Step-by-step explanation:

A - (3, -5)

B - (-4, -1)

Answer:

Help verify values

Step-by-step explanation:

I basically help prove that the value fits and verifies that equation or inequality. By substituting a value for the variable within the equation or inequality and then solving it as a regular expression it should correctly output the same value on the other side of the equation or make the inequality true. For example, using the following inequality...

3x + 2 > 4

We can substitute the variable x for 2 and solve the inequality, if the inequality is true then we know that the value 2 is a correct and verified value.

(3*2) + 2 > 4

6 + 2 > 4

8 > 4  ... True

Step-by-step explanation:

the answer is on foto

y = 9

Answer:

$11,000

Step-by-step explanation:

1st year the account earned 20% from $25,000 = $5,000 | total = $30,000

2nd year the account earned 20% from $30,000 = $6,000

by adding the earnings of 2 years, she will be able to spend $5,000 + $6,000 = $11,000

Answer:

In Fraction  = 10/100  simplified =  1/10

Decimal = 0.1

Percentage = 10%

Step-by-step explanation:

We add all marbles = 5+ 3+ 2 = 10

Event 1 = Red  = 5/10

Event 2 = Green = 2/10

We follow this path and multiply =  2 x 5 /  10 x 10 =  10/100 = 1/10

Answer:

chicken nuggies

Step-by-step explanation:

Answer:

I hope you get the answer im tryna find mines

Step-by-step explanation:

Answer:

I think it's 5(9)+20

Step-by-step explanation:

5(9+4) can be expanded to get 5(9)+5(4). And 5(4)=20

Answer:

The answer is D

Step-by-step explanation:

Answer:

426.9

Step-by-step explanation:

Answer: He got to be elected president of the Republic of Texas.

Answer:

-1 /2

Step-by-step explanation:

Answer:

The expression that represents Capri’s age is a + 4.

The expression that represents Portia’s age is a – 5.

Step-by-step explanation:

The expression that represents Capri's age is a + 4.

The expression that represents Portia's age is a -5.

To write an equation for this scenario, Capri's age needs to be equal to Portia’s age

The equation used to represent this scenario is a + a + 5 + 2 - 4 = 38.

Solving this equation will give Aziza's age.

Aziza'a age = a

Portia age = a - 5

Capri's age = 4 + a

a + a - 5 + 4 + a = 38

Answer:

(12x+4)² and p²−6p+9

Step-by-step explanation:

From the given choices, we areto select the one that are squares of linear expressions

1) For the expression (12x+4)²

This is regarded as the square of 12x+4 since the expression 12x4 is enclosed in parenthesis

2) For the expression p^2−6p+9

Factorize;

p^2−6p+9

p^2−3p-3p+9

p(p-3)-3(p-3)

(p-3)(p-3)

(p-3)²

Hence p^2−6p+9 is a square of the expression p-3

This are the only two required expressions (12x+4)² and p²−6p+9

Answer:

1.6 meters

Step-by-step explanation:

The distance between Shane and the bottom of the cliff is 7.8 meter while Naomi is standing 6.2 meters away from the bottom of the cliff.

As such, the distance between Shane and Naomi would be the difference between Shane's distance from the bottom of the cliff and Naomi's distance from the bottom of the cliff

= 7.8 - 6.2

= 1.6 meters

This is already in the nearest tenth

Answer:

15°

Step-by-step explanation:

45 + 15 = 60° (which is 4x since they're vertically opposite angles)

4x = 60°

x = 60 ÷ 4 = 15

Answer:

35 litres of fuel

Step-by-step explanation:

420 ÷ 12 = 35 litres

Answer:

35

Step-by-step explanation:

420km is needed

1L gives 12km

2L gives 24km

3L gives 36km

...

35L gives 420