The area of the base (B) of a shipping box is 14 1 2 in2. The height (h) of the box is 2 1 4 in. When determining the volume of the box, which statements are correct?

Answer:

Order from greatest to least: 10.5, [tex]3\pi +1[/tex], [tex]\sqrt{105}[/tex]

Step-by-step explanation:

step 1 simplify each number

3π + 1  = 10.4247779

*round to the nearest tenth*

3π + 1 = 10.4

[tex]\sqrt{105} =10.2469507[/tex]

*round to the nearest tenth*

[tex]\sqrt{105} =10.2[/tex]

10.5 = 10.5

Now that we have simplified each number we can easily put them in order from greatest to least

10.5 is the greatest number

10.4 is the middle number

10.2 is the lowest number

so 10.5, 10.4, 10.2

Now we put them back in the original form

10.5 = 10.5

10.4 = 3π + 1

10.2 = [tex]\sqrt{105}[/tex]

Your answer is

10.5 , 3[tex]\pi[/tex] + 1, [tex]\sqrt{105}[/tex]

Answer:

Center (7,2); Radius - Square Root of 10

Step-by-step explanation:

Equation for a Cricle:

(x−h)^2 + (y−k)^2 = r^2

Where:

h = x-coordinate of the center of the circle

k = y-coordinate of the center of the circle

r = radius of the circle

For this problem, your h = 7, k = 2, and r = square root of 10

Answer:

7 5/9

Step-by-step explanation:

340/45 = 7 5/9

Answer:

7.6 pages

Step-by-step explanation:

Okie, so this is a standard unit rate problem, so what you're going to do is divide the number of whatever, in this case, pages, by the time, so:

340 ÷ 45 = 7.6 (rounded)

So you read 7.5 pages per minute

(which is pretty impressive if it's a chapter book)

hope this helps:)

Answer:

x = 3.75

Step-by-step explanation:

You need to cross multiply.

First multiply 6 and 5, then divide that by 8.

Good Luck!!

Answer:

Step-by-step explanation:

  hello :

5/8 = x/6  means  :  8x = 30

x = 30/8

Answer:

Most simplified version is 1 3/7

Step-by-step explanation:

First step is turn everything into a fraction 4 into a fraction is 4/1

4/1 times 5/14 is 20/14 or 1 and 6/14 or 1 and 3/7

Here we have a problem with the multiplication of fractions.

We will find that:

[tex]4 \cdot\frac{5}{14} = \frac{10}{7}[/tex]

First, two things we need to remember:

[tex]\frac{x}{y} \cdot\frac{a}{b} = \frac{x \cdot a}{y \cdot b}[/tex]

Also, an integer number N can be written as:

[tex]N = \frac{N}{1}[/tex]

Now we want to solve:

[tex]4 \cdot\frac{5}{14}[/tex]

Using the above relations we get:

[tex]4 \cdot\frac{5}{14} = \frac{4}{1} \cdot\frac{5}{14} = \frac{4 \cdot5}{1 \cdot14} = \frac{20}{14}[/tex]

Now we need to simplify this, to do it, we need to divide both numerator and denominator by the same number.

We can see that both are multiples of 2, so if we divide both by 2 we get:

20/2 = 10

14/2 = 7

Then we have:

[tex]\frac{20}{14} = \frac{10}{7}[/tex]

Now 7 and 10 do not have common factors, so we can't simplify it anymore.

Concluding, we get:

[tex]4 \cdot\frac{5}{14} = \frac{10}{7}[/tex]

If you want to learn more, you can read:

https://brainly.com/question/23715562

Answer:

x = 17.2

Step-by-step explanation:

[tex]x = 21 \: cos 35 \degree \\ \\ x = 17.20219293 \\ \\ x = 17.2[/tex]

Answer:

17.2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos = adjacent/ hypotenuse

cos 35 = x/21

21 cos 35 =x

17.2021293=x

Rounding to the nearest tenth

17.2

Answer:

A

Step-by-step explanation:

Answer:

A. 1/2

Step-by-step explanation:

I converted all of the numbers into percentages out of 100.

1/2= 50%

62% doesn't have to be changed

0.55= 55%

9/16= 56.25%

Hope this helps :D

Answer:

(x + 4)^2 + (y – 9)^2 = 25

Step-by-step explanation:

The standard form for a circle is

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]     where (h, k) is the center and r is the radius

In your case, h = -4 and k = 9 and r = 5

So, (x + 4)^2 + (y – 9)^2 = 25

The equation for this circle is given as

[tex](x+4)^2 + (y-9)^2 = 25[/tex]

Data

The equation of circle is given by

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Let's substitute our values and get our equation

[tex](x--4)^2 + (y-9)^2 = 5^2\\(x+4)^2 + (y-9)^2 = 25[/tex]

we substituted the values of h and k and made sure it's in the standard form of equation of a circle.

The equation for this circle is given as

[tex](x+4)^2 + (y-9)^2 = 25[/tex]

This looks exactly like

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Learn more on equation of a circle here;

https://brainly.com/question/15214797

Answer:

40 ft^2

Step-by-step explanation:

Think of the area of the green rectangle first. Then subtract the area of the smaller brown rectangles.

area of green carpet = 4 ft * 12 ft - 3 ft * 2 ft - 1 ft * 2 ft

area = 48 ft^2 - 6 ft^2 - 2 ft^2

area = 40 ft^2

Answer: 40 ft^2

Answer:

In(8x)=[In]8 + [In]x

Step-by-step explanation:

By product rule:

[tex]In(8x)=[In]8 + [In]x[/tex]

Answer:

638

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

the arc length formula is : s = 2πr(θ/360°)

given : area :  s = 10 ,     radius  :   r = 10

2(3.14)(10)(θ/360°)=10 solve for : θ

2(3.14)(θ/360°)=1

θ = 360°/6.28

θ = 57°.32

Answer: 8.21, 8.7, 8.84, 9.1

Step-by-step explanation:

Answer:

4x60=240minutes

1 minute=60 seconds

Hence, 240 minutes=14400 seconds(240*60)

Answer:

There are 101 marbles in each bag with 10 marbles leftover.

Step-by-step explanation:

To find how marbles will go in each bag, divide 1525 by 15.

1525/15 = 101 with a remainder of 10.

There's your answer!

Answer:Michelle

And 50

Step-by-step explanation:

Answer:

11.6 mi

Step-by-step explanation:

9.3^2+6.9^2 = 134.1

sqrt134.1 = approx 11.6

Answer:

c= 11.6 mi

Step-by-step explanation:

c =√(a²+b²)= √(9.3²+6.9²)= 11.6mi

Answer:

3/7 × 2

= 6/7

= 0.857.

Step-by-step explanation:

°•°•°•°•°•°•°•°•°•

Answer:

hi

Step-by-step explanation:

you can find the answer according to the Pythagorean theorem

1.

[tex] {5}^{2} + {x}^{2} = {13}^{2} \\ 25 + {x}^{2} = 169 \\ {x}^{2} = 169 - 25 \\ {x}^{2} = 144 \\x = \sqrt{144} \\ x = 12 \: dm[/tex]

2.

[tex] {10}^{2} + {24}^{2} = {x}^{2} \\ 100 + 576 = {x}^{2} \\ {x}^{2} = 676 \\ x = \sqrt{676} \\ x = 26 \: in[/tex]

hope it helps

have a nice day

Answer:

5 hours

Step-by-step explanation:

distance = rate x time

t = time

(700-375) = 65t

325 = 65t

325/65 = t

5 hours = t

Answer:

If you meant: A = sin-1(2/10), A = 0.201

If you meant: A = sin(-12/10), A = -0.932

Step-by-step explanation:

Answer:

C=7

Step-by-step explanation:

Because it's a right angle in total we know the 2 expressions combined will equal 90.

(8c-5)+(6c-3)=90

Answer:

50%

Step-by-step explanation:

if you look below girls (in total) bought 100 pepsi colas and thats half of the total (200)