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2 years ago

Alexi's restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that

Mathematics

1 answer:

77julia77 [94]2 years ago

4 0

Answer:

Here Is Your Answer $58(20)

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How many degrees is angle x?

Free_Kalibri [48]

Answer

127

Step-by-step explanation:

First add 42 and 85. Then do 180-(42+85) to get w. Then do 180-w to get x as a line always equals 180

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2 years ago

For there is always light, if only we’re brave enough to see it.

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Evaluate 0.312÷x X=3

Neporo4naja [7]

0.104
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2 years ago

(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:

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

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

12 (X + 2) - 4x = 4( 2X + 11 ) -20 Solve for X

liberstina [14]

Answer:

Step-by-step explanation:

12 (x + 2) - 4x = 4 (2x + 11) - 20

12 + 24 - 4x = 8x + 44 - 20

36 - 4x = 8x + 24

36 - 24 = 8x - 4x

12 = 4x

---- ----

4 4

3 = x

-x = -3

x = 3

5 0

2 years ago