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Alexus [3.1K]
3 years ago
10

Evaluate 16 3/4 nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Mathematics
1 answer:
kramer3 years ago
7 0

Answer:

16.75

Step-by-step explanation:

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The rectangular box shown in the figure has dimensions 9" × 5" × 3" (a = 9, b = 5, c = 3). Approximate the angle θ formed by a d
aliina [53]

<span>The simplest method to do this is with the vector dot product. Let the vector A = <9i + 5j> with magnitude √106 be the base diagonal, and B = <5j + 3k> be the diagonal vector on the side, with magnitude √34. Then cos θ = (A dot B) divided by the product of the magnitudes. A dot B =30, so 

cos θ = 30 / √(34 x 106)</span>

<span> = 0.4997 ==></span>

<span> θ = 49.19° is the answer</span>

4 0
3 years ago
3. Suppose U= {1,2,3,4,5,6,7,8,9,10} is the universal set and Q= {3,6,9}. What is Q'?
Readme [11.4K]

Answer:

3. Q' = {1 , 2 , 4 , 5 , 7 , 8 , 10} ⇒ answer C

4. A ⊂ B is False ⇒ answer B

Step-by-step explanation:

3.

- The universal set U = {1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10}

- The set Q = {3 , 6 , 9}

- We need to find the complement of set Q (Q')

- The complement set of Q is the set of all elements belongs to the

 universal set U but does not belong to the set Q

- That means take off all the elements belongs to set Q from the

  universal set U

∵ U = {1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10}

∵ Q = {3 , 6 , 9}

- Cancel from set U the elements 3 , 6 , 9

∴ Q' = {1 , 2 , 4 , 5 , 7 , 8 , 10}

4.

- The universal set U = {1 , 2 , 3 , 4 , 5 , 6 , 7 , 8}

- The set A= {1 , 3 , 5 , 7}

- The set B= {4 , 5 , 6}

- A ⊂ B means every element in set A belongs to set B

∵ A= {1 , 3 , 5 , 7}

∵ B= {4 , 5 , 6}

∵ The elements in set A ∉ in set B

∴ A ⊂ B is False

7 0
3 years ago
How can i know if the triangles are congruent ?
MrRissso [65]
If you use the SAS theorem, you can prove the triangles are congruent. Due to vertical angles, we have one angle, and we know one side is congruent. In order to prove these triangles are simillar, we need another side
7 0
3 years ago
Read 2 more answers
(x + 40)<br> (3x)º<br><br><br><br> What is the value of x?<br><br> 60<br> 20<br> 35<br> 70
joja [24]
The answer is twenty (20)
7 0
3 years ago
Read 2 more answers
The cuboid and the triangular prism have the same volume. Find the value of x.
elena-14-01-66 [18.8K]

Answer:

x = 25

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Al ( A is the area of the triangular face and l is its length )

A = \frac{1}{2} bh = 0.5 × 5 × 8 = 20 cm² , then

V = 20 × 20 = 400 cm³

The volume of the cuboid is calculated as

V = lbh = 3.2 × 5 × x = 16x

Given V = 400 cm³ , then

16x = 400 ( divide both sides by 16 )

x = 25

8 0
3 years ago
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