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VMariaS [17]
3 years ago
12

Please help me with this question

Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0
The last one. The starting temperature was 82°
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(6, - 3, 1) and (8,9,-11) find the angle between the vector​
Svetllana [295]

Answer:

The angle between the two vectors is 84.813°.

Step-by-step explanation:

Statement is incomplete. Complete form is presented below:

<em>Let be (6,-3, 1) and (8, 9, -11) vector with same origin. Find the angle between the two vectors. </em>

Let \vec u = \langle 6, -3, 1 \rangle and \vec v = \langle 8,9,-11 \rangle, the angle between the two vectors is determined from definition of dot product:

\theta = \cos^{-1} \left(\frac{\vec u \,\bullet \,\vec v}{\|\vec u\|\cdot \|\vec v\|} \right) (1)

Where:

\vec u, \vec v - Vectors.

\|\vec u\|, \|\vec v\| - Norms of each vector.

Note: The norm of a vector in rectangular form can be determined by either the Pythagorean Theorem or definition of Dot Product.

If we know that \vec u = \langle 6,-3,1 \rangle and \vec v = \langle 8, 9,-11 \rangle, then the angle between the two vectors is:

\theta = \cos^{-1}\left[\frac{(6)\cdot (8) + (-3)\cdot (9) + (1)\cdot (-11)}{\sqrt{6^{2}+(-3)^{2}+1^{2}}\cdot \sqrt{8^{2}+9^{2}+(-11)^{2}}} \right]

\theta \approx 84.813^{\circ}

The angle between the two vectors is 84.813°.

6 0
2 years ago
A 33​-inch board is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
GaryK [48]

Answer:

the shorter piece is 11 inches long

Step-by-step explanation:

x+2x=33in

3x=33in

33/3 = 11 =x

8 0
3 years ago
Pls pls help with this. extra points. why would i use factoring to solve this quadratic equation?
anzhelika [568]

Answer: x =  

-1/6 -2

explanation:

I looked it up on Math

way

5 0
3 years ago
Read 2 more answers
Which statements are true of the pyramid shown? Check all that apply. A. The base area is 54 ft2. B. The lateral area is 223.95
marishachu [46]

the answer is 54 ft2 and 343.95 ft2

Hope this helps!

8 0
3 years ago
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A large drum in the shape of a cylinder is used to store used oil. The drum is 4 feet tall with a radius of 2 feet.
katrin [286]
<h3>Answer:  75.36 square feet</h3>

Your teacher may want you to type the number only.

==========================================================

Work Shown:

SA = surface area of a cylinder

SA = 2*pi*r^2 + 2*pi*r*h

SA = 2*3.14*2^2 + 2*3.14*2*4

SA = 75.36

The surface area is roughly 75.36 square feet.

6 0
2 years ago
Read 2 more answers
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