All categories

3 years ago

What is a number of subsets for the set which contains the 10 elements.

Mathematics

1 answer:

Sonja [21]3 years ago

7 0

Answer:

The number of subsets of a set containing 10 elements is 2^10=1024.

Step-by-step explanation:

You might be interested in

Sin 46° to the 4 decimal place

Snowcat [4.5K]

0.7193...... try that out

3 0

3 years ago

David is standing on the deck of his treehouse which is 60 feet high in the tree and looking down at a 59degree angle. In the di

lidiya [134]

Answer:

22 degrees.

Step-by-step explanation:

Please find the attachment.

We have been given that a man is in a tree-house 10 feet above the ground. He is looking at the top of another tree that is 22 feet tall.The bases of the trees are 30 feet apart.

To find the angle of elevation from the man's feet to the top of the tree, we will use tangent because we know adjacent side and opposite side to angle x.

Now, we will use arctan or inverse tan to solve for x as:

Upon rounding to nearest degree, we will get:

Therefore, the angle of elevation from the man's feet to the top of the tree is approximately 22 degrees.

5 0

3 years ago

What is the Y - Intercept?

schepotkina [342]

Y intercept is 24. ( y intercept is when x=0 )

3 0

3 years ago

How do you add vectors? Add the vector <3,4> to the vector that goes 7 units at an angle of 2π/3.

lawyer [7]

Answer:

The sum of the two vectors is the vector <-0.5 , 4+3.5 $\sqrt{3}$ >

Step-by-step explanation:

The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф

The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф

The vector is <b cos Ф , b sin Ф>

∵ The vector goes 7 units at an angle $\frac{2\pi }{3}$

- That means its magnitude is 7 and its direction is $\frac{2\pi }{3}$

∴ x = 7 cos( $\frac{2\pi }{3}$ )

∴ y = 7 sin( $\frac{2\pi }{3}$ )

∵ cos( $\frac{2\pi }{3}$ ) = $-\frac{1}{2}$

∵ sin( $\frac{2\pi }{3}$ ) = $\frac{\sqrt{3}}{2}$

- Substitute them in x and y

∴ x = (7)( $-\frac{1}{2}$ )

∴ x = -3.5

∴ y = (7)( $\frac{\sqrt{3}}{2}$ )

∴ y = 3.5 $\sqrt{3}$

∴ The vector is <-3.5 , 3.5 $\sqrt{3}$ >

Now lets add the vectors by adding xs and ys components

∵ <3 , 4> + <-3.5 , 3.5 $\sqrt{3}$ > = <3 + -3.5 , 4 + 3.5 $\sqrt{3}$ >

∴ <3 , 4> + <-3.5 , 3.5 $\sqrt{3}$ > = <-0.5 , 4+3.5 $\sqrt{3}$ >

∴ The sum of the two vectors is the vector <-0.5 , 4+3.5 $\sqrt{3}$ >

5 0

3 years ago

Zachary can spend no more than $94 per day to rent a car. A car rents for $30 per day plus $0.20 per mile. Write an inequality f

Temka [501]

Answer:

$124.20 miles all you gotta do is add them together

Step-by-step explanation:

5 0

3 years ago