0.00000000005 in scientific notation

Answers

Answer 1

Answer:

It can be written as 5 x 10^ -11 or 0.5 x 10^ -10

Hope it helps.

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The sphere at the right fits snugly inside a cube with 4-in. edges. What is the approximate volume of the space between the sphere and cube?

Answers

As given by the question

There are given that the inside edge is 4 in.

Now,

Since sphere fits snugly inside a cube therefore diameter of sphere will be equal to side of the cube

So,

$\begin{gathered} \text{diameter}=4\text{ inches} \n \text{radius}=(dameter)/(2) \n \text{radius}=(4)/(2) \n \text{radius}=2 \end{gathered}$

Then,

Volume of the sphere is given by:

$\begin{gathered} (4)/(3)*\pi* r^3=(4)/(3)*3.14*2^3 \n =(4)/(3)*3.14*8 \n =33.5 \end{gathered}$

And,

The volume of a cube is:

$\begin{gathered} \text{Volume of cube=side}* side* side \n =4*4*4 \n =64\text{ inches} \end{gathered}$

Then,

The volume of the space between the sphere and cube = 64-33.5 = 30.5.

Hence, the answer is 30.5 cube inches.

If a sphere fits snugly inside a cube with 34-in edges. What’s is the approximate volume of the space between the sphere and cube

Answers

The volume of the space between the sphere and cube is equal to the volume of the sphere subtracted from the volume of the cube:

$V_{}=V_(cube)-V_(sphere)$

The volume of a cube is:

$V=s^3$

s is the length of each edge in the cube

The volume of a sphere is:

$V=(4)/(3)\pi\cdot r^3$

The diameter of the sphere is equal to the edge of the cube, then, its radiusr is:

$r=(s)/(2)$

Then, the volume of the space between the sphere and cube is:

$V=s^3-(4)/(3)\pi\cdot((s)/(2))^3$

s is 34 in

$\begin{gathered} V=(34in)^3-(4)/(3)\pi\cdot((34in)/(2))^3 \n \n V=39304in^3-(4)/(3)\pi\cdot(17in)^3 \n \n V=39304in^3-(4)/(3)\pi\cdot4913in^3 \n \n V=39304in^3-(19652\pi)/(3)in^3 \n \n V\approx18724.47in^3 \end{gathered}$ Then, the approximate volume of the space between the sphere and cube is 18724,47 cubic inches

PLEASE HELP !!!!! 1) Find the equation of the trend line (line of best fit). SHOW WORK

2) Predict the number of tips that would be collected if 100 costumers were served at the restaurant on a given day. Explain your reasoning.

3)EXPLAIN how to use the regression calculator to make a reasonable prediction given a data table

(I don't know how to attach more than 1 picture by the way )

Answers

Answer:

1) y = 1.8741176487x + 3.655964863

2) About $191 using the equation, about $180 or more using the data you are given.

3) I can use the regression calculator by using the largest number of customers you have in the data set and lowest number of customers and compare them to see if the numbers are in ascending or descending order.

Given that a point of measure is 3m away from a tree, and the top of the tree is at a 60 degree angle from the ground,find the height of the tree.

Answers

So there is a right triangle.

The tree hight over the distance from the tree is equal to the tangent of the angle.

h / 3 = tan(60)

h / 3 = $√(3)$

h = $3√(3)$

Final answer:

To find the height of the tree, we can use trigonometry and the tangent function. The height of the tree is approximately 5.2 meters.

Explanation:

To find the height of the tree, we can use trigonometry. We have a right triangle formed by the tree, the point of measure, and the ground. The distance from the point of measure to the tree is the adjacent side, and the height of the tree is the opposite side. We can use the tangent function to find the height:

tan(60°) = height/3m

height = 3m * tan(60°) = 3m * √3 ≈ 5.2m

Therefore, the height of the tree is approximately 5.2 meters.

Learn more about Finding the height of a tree using trigonometry here:

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28.2% of 92 this is for math

Answers

Hey there!

Usually when you come across the word “of” in mathematical problems , it simply means that you’re multiplying

So we can simply multiply 28.2% from 92

28.2% = 28.2/100 = 0.282

New equation

0.282 * 92 = the answer

0.282 * 92 = 25.944

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

An automobile purchased for 22,000 is worth 2500 after 5 yrs. Assuming that the cars value deprecited steadily from year to year, what was it worth at the end of third year

Answers

Original price = 22000
New price = 2500
Amount depreciated in 5 years = 22000 - 2500
=19500
Amount depreciated in 1 year = 19500/5
= 3900
Worth after 3 years = 22000 - 3(3900)
= 10300

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