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klemol [59]
3 years ago
15

Vector V is in standard position and makes an angle of 50° with the positive x-axis. Its magnitude is 18. Write V in component f

orm a, b and in vector component form ai + bj. (Round each answer to one decimal place.)
Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

11.57 units east, 13.79 units upwards

11.57i + 13.79j

Step-by-step explanation:

V = 18 units at an angle of 50° to the positive x-axis

In component Form, this is how each component is calculated

a = 18cos50° = 11.57 units east

b = 18sin50° = 13.79 units upwards

check if your answer is correct

\sqrt{11.57^{2} +13.79^{2} } = 18.0

In vector component form ai + bj = 11.57i + 13.79j

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Step-by-step explanation:

3/4 = 75%

11/16 = about 68%

Therefore, 3/4 is greater

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An employee at a clothing store makes a base salary of $2,800 a month plus 6.75% of the sales that they make. The function E(s)=
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3,340$

Step-by-step explanation:

e(8000)=.0675(8000)+2800

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1 1/8 divided by 6 1/2
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2 years ago
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Find the slope of a line if the points (2,-1) and (5,3) are on the line
Romashka [77]

Answer:

\huge{ \boxed{ \sf{ \frac{4}{3} }}}

Step-by-step explanation:

\star{ \sf{ \: Let \: the \: points \: be \: A \: and \: B}}

\star{ \sf{ \: Let \: a(2,-1)  \: be \: (x1 \:, y1) \: and \: b (5,3)  \: be \: (x2 \:, y2)}}

\underline{ \sf{Finding \: the \: slope \: of \: the \: line}}

\boxed{ \sf{Slope =  \frac{y2 - y1}{x2 - x1} }}

\mapsto{ \sf{Slope =  \frac{3 - ( - 1)}{5 - 2} }}

\mapsto{ \sf{Slope =  \frac{3 + 1}{5 - 2}}}

\mapsto{ \sf{Slope =  \frac{4}{3} }}

Hope I helped!

Best regards! :D

~\text{TheAnimeGirl}

4 0
3 years ago
9. If f(x)=-2x^2+4x-6, <br> then f(2)=
Romashka-Z-Leto [24]

Answer:

f(2) = -6

General Formulas and Concepts:

Order of Operations: BPEMDAS

Substitution and Evaluation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = -2x² + 4x - 6

f(2) is x = 2

<u>Step 2: Solve</u>

  1. Substitute:                          f(2) = -2(2)² + 4(2) - 6
  2. Exponents:                         f(2) = -2(4) + 4(2) - 6
  3. Multiply:                              f(2) = -8 + 8 - 6
  4. Add:                                    f(2) = -6
3 0
3 years ago
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