A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The height is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?​

Answer:

$48.75

Step-by-step explanation:

x = 3.25

y = soccer players

3.25(15) = 48.75.

The answer is $48.75.

Answer:

2.5

Step-by-step explanation:

Answer: b. 2.5 years

Step-by-step explanation:

The formula for Interest is:

= principal × rate × time

Then, we slot in the values given which will be:

Interest = principal × rate × time

50 = 1000 × 2% × Time

50 = 1000 × 0.02 × Time

50 = 20 × Time

Time = 50/20

Time = 2.5 years

He has 2.5 years to pay back

Answer:

1.) 5

2.) 6

3.) 2

4.) 2

5.) 2

6.) 5

The population of Indiana in 2007 can be estimated by using the annual growth rate of 0.6% between 1998 and 1999 and the population in 1999, which was approximately 286,485,882.

To find the population in 2007, we need to calculate the growth from 1999 to 2007. We can do this by multiplying the population in 1999 by 1 plus the growth rate raised to the power of the number of years between 1999 and 2007.
Let's calculate step by step:
1. Calculate the number of years between 1999 and 2007: 2007 - 1999 = 8 years.
2. Calculate the growth rate per year: 0.6% = 0.006.
3. Calculate the population in 2007: 273,000,000 * (1 + 0.006)^8 = 273,000,000 * 1.048834 = 286,485,882 (approximately).
Therefore, based on this model, the population of Indiana in 2007 would be approximately 286,485,882.
For more similar questions on annual growth rate

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Answer:

This is irrational. Pretty much anything with pi is irrational.

Step-by-step explanation:

Pi is irrational, so this irrational as well.

Answer:

The number π is an irrational number, so it cannot be expressed as a fraction. Since π is irrational, it follows that π/2 is also irrational.

Answer:

476 ÷ 17 = 28

Step-by-step explanation:

$17 an hour is multiplication. so, just do the opposite.

476 ÷ 17.

~R3V0

Answer:

A

Step-by-step explanation:

why do I have to write for it to send

Answer:

I think B as all the dots are near the line B

[tex]\mathtt{: )}[/tex]

I think I know this one.

Answer: V = 600 unit 2

Step-by-step explanation:

We have that

the volume of the rectangular pyramid is

V = (1/3) BH

where

B is the area of the rectangular face

H is the height of the pyramid

step 1

Find out B

B = (15)(10) unit 2

step 2

Find the volume

B = 150 unit 2

H = 12 unit

substitute

V = (1/3)(150)(12)

V = 600 unit 2

I hope this help you! :)

Answer:

15

Step-by-step explanation:

Pythagorean theorem: the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

C = the square root of A squared + B squared.

plug in the numbers

C = the square root of 9 squared + 12 squared = 15

Answer:

15

Step-by-step explanation:

[tex] {9}^{2} + {12}^{2} = c ^{2} \\ 81 + 144 = {c}^{2} \\ 225 = {c}^{2} \\ \sqrt{225} = c \\ \sqrt{225} = 15[/tex]

Answer:

Is the triangle a right triangle?

Answer:

(c)

Step-by-step explanation:

Given

See attachment for A and B

Required

Compare A and B

First, we get the initial population of A and B.

The initial population is at when [tex]t =0[/tex]

From the table of bacteria A, we have:

[tex]Initial = 100[/tex] when [tex]t = 0[/tex]

From the graph of bacteria B, we have:

[tex]Initial = 75[/tex] when [tex]t = 0[/tex]

Since the initial of bacteria B is less than that of bacteria A, then (a) is incorrect.

Next, calculate the slope of A and B i.e. the rate

Slope (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{t_2 - t_1}[/tex]

Where

y = Number of bacteria

t = time

For bacteria A:

[tex](t_1,y_1) = (0,100)[/tex]

[tex](t_2,y_2) = (2,140)[/tex]

So, the slope is:

[tex]m_A = \frac{140 - 100}{2 - 0}[/tex]

[tex]m_A = \frac{40}{2}[/tex]

[tex]m_A = 20[/tex]

For bacteria B:

[tex](t_1,y_1) = (0,75)[/tex]

[tex](t_2,y_2) = (1,100)[/tex]

So, the slope is:

[tex]m_B = \frac{100- 75}{1 - 0}[/tex]

[tex]m_B = \frac{25}{1 }[/tex]

[tex]m_B = 25[/tex]

Since [tex]m_B > m_A[/tex], then the rate of bacteria B is greater than that of bacteria A.

Hence, (d) cannot be true

Next, we determine the equation of both bacteria

This is calculated using:

[tex]y = m(t - t_1) + y_1[/tex]

For bacteria A, we have:

[tex]y = m_A(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,100)[/tex]

[tex]m_A = 20[/tex]

So:

[tex]y = 20(t - 0) +100[/tex]

[tex]y = 20(t) +100[/tex]

[tex]y = 20t +100[/tex]

For bacteria B, we have:

[tex]y = m_B(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,75)[/tex]

[tex]m_B = 25[/tex]

So:

[tex]y = 25(t - 0) + 75[/tex]

[tex]y = 25(t) + 75[/tex]

[tex]y = 25t + 75[/tex]

At 3 hours, the population of bacteria A is:

[tex]y = 20t +100[/tex]

[tex]y = 20* 3 + 100[/tex]

[tex]y = 60 + 100[/tex]

[tex]y = 160[/tex]

At 3 hours, the population of bacteria B is:

[tex]y = 25t + 75[/tex]

[tex]y=25 * 3 + 75[/tex]

[tex]y=75 + 75[/tex]

[tex]y=150[/tex]

After 3 hours, bacteria B is 150 while A is 160.

This implies that (c) is correct because the population of B is less than that of A, at 3 hour

Lastly, to check if they will ever have equal population or not, we simply equate both equations.

So, we have:

[tex]y = y[/tex]

[tex]25t + 75 =20t + 100[/tex]

Collect like terms

[tex]25t - 20t = 100 - 75[/tex]

[tex]5t = 25[/tex]

Solve for t

[tex]t = 25/5[/tex]

[tex]t = 5[/tex]

They will have equal population at 5 hours.

Hence, b is incorrect

From the above computation, only (c) is correct

Answer: 12 fourths

Step-by-step explanation: I cant drawa picture but i would suggest drawing 3 squares and drw a cross across each to make 12 squares all together

Answer:

502.4 cubic unit

Step-by-step explanation:

Given data

The parameter for the cylinder is as follows

Height h= 10units

Radius r= 4 units

We know that the expression for the volume of a cylinder is

V= πr^2h

substitute

V= 3.14*4^2*10

V= 3.14*16*10

V= 502.4 cubic unit

Hence the volume is  502.4 cubic unit

formula 3.35 times something

Answer:

good luck

Step-by-step explanation:

i have no clue but plz r8 5

Answer:

associative property

Step-by-step explanation:

happy to help :)

Answer:

Associative Property

Step-by-step explanation:

The property says you can regroup the three numbers being added.

(a + b) + c = a + (b + c)

Either add a and b first, then add c, ...

or, add b and c first, then add that result to a.

Answer:

63.554

Step-by-step explanation:

V=pir^2h

r=3.4/2

h=7

V=pi(1.7)^2(7)

=63.554

Answer: 21052

Step-by-step explanation:

Answer:

21052

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

4.8 x-4 = 19.2 meters

Answer:

19.2

Step-by-step explanation:

4.8 x 4

Answer:

23.8

Step-by-step explanation:

x/340= 7%/100%

340*7= 2380

2380/100 =23.8

Answer:

7

___ x 340 = 23.8

100

Using the keywords:

Of means multiplication

Consider a percent out of 100

A way to remember is that, cent means 100.

Brainliest appreciated!

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1