The volume of the original chamber is

V cubic inches. This i

v cubic inches less than the volume of the new

chamber.

Answer:

Answer:

the original volume is lesser than the new volume by 242.47 in³

Step-by-step explanation:

Volume of a cone is;

V = ⅓πr²h

Where;

r is radius

h is height

For the original chamber;

r = 5.7/2 = 2.85 inches

h = 12 inches

Volume of this original chamber is;

V_orig = ⅓ × π × 2.85² × 12

V_orig = 102.02 in³

In the new design, the chamber is scaled by a factor of 1.5.

Thus;

r_new = 2.85 × 1.5 = 4.275 inches

h_new = 12 × 1.5 = 18 inches

V_new = ⅓ × π × 4.275² × 18

V_new = 344.49 inch³

V_new - V_orig = 344.49 - 102.02 =

Thus, the original volume is lesser than the new volume by 242.47 in³

Help with this math question please

the jacksons , chens, and simms each went on vacation. the jackson drove 835 miles. the simms drove 947 miles and the chens drove 100 miles further than the jacksons which family drove the futhest on vacation?

3x + 6y = -18 2y = 3x - 22 The solution to the system is ( ___, ___ ).

PLEASE PLEASE PLEASE HELP

Pls help meeeeeeeeeeeeeeeeeeeeeeeee

the jacksons , chens, and simms each went on vacation. the jackson drove 835 miles. the simms drove 947 miles and the chens drove 100 miles further than the jacksons which family drove the futhest on vacation?

3x + 6y = -18 2y = 3x - 22 The solution to the system is ( ___, ___ ).

PLEASE PLEASE PLEASE HELP

Pls help meeeeeeeeeeeeeeeeeeeeeeeee

**Solution:**

we are given that

6 students share 4 bagels equally.

we have been asked to find that

How many pieces does each person get?

Here we will have to use the concept of division. Because we are dividing bagels among the students.

So To get the number of pieces each will get divide 6 by 4.

**Number of Pieces for each boys**

Hi!

You would get 1 and a half bagel for each person

6/4 = 1 1/2 or 1.5

You would get 1 and a half bagel for each person

6/4 = 1 1/2 or 1.5

Based on the **constraints **and** objective function** that apply to the **business student **at Nowledge College, the set of** linear equations** are:

- 60x + 24y ≤ 3,000
- x + y ≥ 65
- x ≥ 23
- y ≥ 20

Assume the number of **business courses** to be **x **and the number of **nonbusiness course**s to be **y**.

The** total cost** of both need to be less than $3,000 so the inequality is:

**60x + 24y ≤ 3,000.**

Both courses need to be at least 65 if the student wants to graduate so:

**x + y ≥ 65**

Business courses should be **equal **to or more than 23 and nonbusiness courses should be **greater **than or equal to 20 so:

**x ≥ 23**

**y ≥ 20**

Find out more on **linear equations** at brainly.com/question/12788590.

Answer:

69

Step-by-step explanation:

**Answer:**

59

**Step-by-step explanation:**

If we convert from degrees into radians, we can use the formula

, where s is the arc length, r is the radius and θ is the angle in radians.

To convert from degrees to radians, we multiply by

So is our angle in radians, and we have the radius - we can now plug in these two values into our equation.

**Answer:**

**Step-by-step explanation:**

length of arc= (arc angle/360) * 2πr

length= 140/360 *2*22/7*24

length=58.88 feet ~59 feet(approx)

**Answer:**

4/9 is bigger

**Step-by-step explanation:**

For the 1st fraction, since 9 × 4 = 36,

4/9 = 4 × 4

9 × 4 = 16/36

Likewise, for the 2nd fraction, since 36 × 1 = 36,

7/36= 7 × 1

36 × 1 = 7/36

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

16/36> 7/36 or 4/9 > 7/36

7/36 is bigger

7 goes into 36 5 times

and 4 goes in 9 only 4 times

7 goes into 36 5 times

and 4 goes in 9 only 4 times

**Answer:**

a

**Step-by-step explanation:**

**Answer:**

add all angles

**Step-by-step explanation:**

**Answer:**

1,701

**Step-by-step explanation:**

the answer is 1,701 :D