Apply Cavalieri's principle to determine which statements are correct.
A)
I.B Area = 11.B Area
B)
II.B Area > III.B Area
C)
1. Volume = II. Volume
D)
II. Volume > III. Volume
E)
I.B Volume = II.B Volume = III.B Volume

Given :

Solution:

hope it helped!

Given :-

To Find :-

Solution :-

Here the area of the rectangle is 357cm² . As we know that the area of rectangle is ,

→ Area = length * breadth

On substituting the respective values ,

→ 357 cm² = 17cm * length

→ length = 357cm²/17cm

→ length = 21cm

Hence the length of the rectangle is 21cm.

I hope this helps.

Refer to the attachment!

Answer:

x = 8

Step-by-step explanation:

12 : 36

1 : 3

the distance is 3×, so

x = 26 ÷ 3

= 8

The amount of time it would take for the rock to hit the ground is 1.25 seconds.

Given the following data:

Scientific data:

To determine the amount of time it would take for the rock to hit the ground, we would apply the parabolic function:

Mathematically, the parabolic function is given by this formula:

[tex]h(t) = -16t^2 +ut+h_0[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]0 = -16t^2 +16t+5\\\\16t^2-16t-5=0\\\\(4t+1)(4t-5)=0[/tex]

Taking the positive value of t, we have:

[tex]4t-5-0\\\\4t=5\\\\t=\frac{5}{4}[/tex]

t = 1.25 seconds.

Read more on time here: brainly.com/question/24728358

Answer:

  D. II only

Step-by-step explanation:

The square root equations will each have only one real solution. (Sometimes, there is an extraneous solution if the variable is also found outside the radical.)

The rational equation will result in a quadratic when it is simplified. It will have two real solutions.

Only equation II will have two real solutions.

The amount rupees 48 is 20% less than rupees 60.

Answer:

48

Step-by-step explanation:

Step 1: Multiply 20 by 0.6

Step 2: Subtract 12 from 60.

Using linear function concepts, it is found that Christopher is correct.

A linear function is modeled by:

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

In which:

In this problem, the function is:

[tex]d = 13h - 75[/tex]

Considering the description of the output d as the amount of money in a checking account and of the input h as the number of hours worked, we have that:

Hence, Christopher is correct.

You can learn more about linear function concepts at https://brainly.com/question/24808124

Answer:

38

Step-by-step explanation:

[tex]46 - {2}^{4} \div (3 - 1) \\ 46 - 16 \div (2) \\ 46 - 8 \\ = 38[/tex]

first calculate whats in the brackets.

then divide

and lastly subtract

Answer:

2/3

Step-by-step explanation:

Answer:

x = 28

Step-by-step explanation:

2x - 28 = x

-2x         -2x

- 28 = - x

/-x       /-x

28 = x

x = 28

Answer:

45cm^2

Step-by-step explanation:

we have two shapes in the diagram a square and a triangle so we find the area of each of them and add them together

finding the area of a square

we have area= s×s

area = 7×5

area = 35cm^2

finding the area of a triangle

1/2 ×b×h

1/2×4×5

area = 10cm^2

so we add together

total area = 35+ 10

area = 45cm^2

Answer: Look at explanation

Step-by-step explanation:

32 = 2 x 2 x 2 x 2 x 2

27 = 3 x 3 x 3

16 = 2 x 2 x 2 x 2

No as 32 can be broken down to 8 and 4 and not just pime and not prime

Answer:

1.7543859649. . . . . . . .. .

Answer:

$0.57

Step-by-step explanation:

$4.56/8 = 0.57

so the cost to ship one ounce is $0.57

Answer:

D

Step-by-step explanation:

i already did the test

Answer:

d

Step-by-step explanation:

Answer:

Negative relationship

Step-by-step explanation:

It is going in a negative direction.

Pls mark brainliest :)

Answer:

240

Step-by-step explanation:

because adding the 45's 4 times then adding 60.

sorry if im wrong btw.

Answer:

-10

Step-by-step explanation:

I think you are asking which is the least distance from 0 which would just be -10

Answer:

9 bags pf spinach, 6 bags of carrots

Step-by-step explanation:

x bags of spinach, y bags of carrots,

x + y = 15                 (1)

weight of spinach = 5 * x, weight of carrots = 7 * x

5x + 7y = 87           (2)

From (1) y = 15 - x

Sub it into (2):

5x + 7(15 - x) = 87

5x + 105 - 7x = 87

2x = 105 - 87 = 18

x = 9

y = 15 - x = 15 - 9 = 6

So 9 bags pf spinach, 6 bags of carrots.

Answer:

SOH CAH TOA

Little triangle first - hypotenuse is 4, now we used this info help us find the opposite.

Opposite & Hypotenuse - Sin

Sin(45) = O/H

Sin(45) = O/4

x 4 both sides, to get Opposite

Opposite = 4 x Sin(45)

= 2 root 2

= 2.8284.......

Big Triangle next,

Opposite is 2.8284......

Y is the adjacent

Opposite & Adjacent - Tan

Tan (30) = O/A

Tan(30) = 2.8/A

x A

A x Tan(30) = 2.8

÷Tan(30)

A = 2.8 ÷ Tan(30)

A= 2 root 6

A= 4.8989...

So, y is 5 to 1 significant figure

Or

Y = 4.9 to 1d.p

(Haven't rounded anything in my calculation, even though it's shown that way, in my workings. So, you can follow along)

Hope this helps!

Answer:

Step-by-step explanation:

Given:

Find B + C - A:

A = [tex]3x² - 7x + 8[/tex]

B = [tex]x² + 8x - 3[/tex]

C = [tex]-5x²-3x + 2[/tex]

Lets find B + C - A :

→ [tex]B + C - A[/tex]

→ [tex]x² + 8x - 3+ (- 5x²-3x + 2)-(3x² - 7x + 8)[/tex]

→ [tex]x² + 8x - 3-5x² - 3x + 2-3x² + 7x - 8[/tex]

→[tex] (1-5-3)x² + (8 -3 + 7)x+ (-3 + 2 - 8)[/tex]

→ [tex]- 7x² + 12x - 9[/tex]

Answer:

0.75 lb potato salad = $2.22

Step-by-step explanation:

If 1 pound of potato salad = $2.96

Then 0.75 pounds of potato salad = 0.75 x 2.96 = 2.22

Answer:

[tex]x - 4y = - 6 \: ......(1) \\ \\ 2x + 3y = 10 \: .......(2)[/tex]

from equation (1)

[tex]x - 4y = - 6 \\ \\ 4y = x + 6 \\ \\ y = \frac{x + 6}{4} [/tex]

Substitute " y " in equation (2)

[tex]2x + 3y = 10 \\ \\ 2x + 3( \frac{x + 6}{4} ) = 10 \\ \\ 2x +( \frac{3x + 18}{4} ) = 10 \\ \\ \\ \frac{8x + 3x + 18}{4} = 10 \\ \\ \\ 8x + 3x + 18 = 10 \times 4 \\ \\ 11x + 18 = 40 \\ \\ 11x = 40 - 18 \\ 11x = 22 \\ \\ x = \frac{22}{11} \\ \\ x = 2[/tex]

[tex]y = \frac{x + 6}{4} \\ \\ y = \frac{2 + 6}{4} \\ \\ y = \frac{8}{4} \\ \\ y = 2[/tex]

Answer:

13/21

Step-by-step explanation:

65/105 = 13/21

Answer:

probability of rolling a number greater than 4

= 12/4 = 3

p(4) = 3

Mark as brainlest. Hope it helps...

Answer:

x=9

Step-by-step explanation:

Using the second equation (y=54), we can substitute 54 for y to solve for x...

y=6x

54=6x

Divide both sides by 6

x=9

Answer:

x = 9

Step-by-step explanation:

Since y = 54

54 = 6x

Divide both sides of the equation by the same term

54/6=6x/6

Simplify

x = 9

[RevyBreeze]

Answer:

18 cows can be milked in 6 hours

Step-by-step explanation:

hrs.=3

Answer: 62.8

Step-by-step explanation:

2 x 3.14 x 10

Answer:

62.83

Step-by-step explanation:

2 x 3.14 is approx 62.83185 or 62.83

if im wrong let me know please.

Percentage

100:50 x 20 = 40