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Harrizon [31]
2 years ago
14

Given that OA= 11x +6y, OB=4x +10y and CO= - 13x+11y, write down each of the following vectors in its simplest form.

Mathematics
1 answer:
levacccp [35]2 years ago
8 0

Answer:

  • BA = 7x -4y
  • AC = 2x -17y

Step-by-step explanation:

a) BA = OA -OB = (11x+6y) -(4x +10y)

  BA = 7x -4y

__

b) AC = -CO -OA = -(-13x +11y) -(11x +6y)

  AC = 2x -17y

_____

The vector OC is the opposite of the vector CO.

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A man is in a boat that is floating 175 feet from the base of a 200 foot cliff. What is the angle of depression between the clif
LUCKY_DIMON [66]

Answer:

The of depression between the cliff and the boat is 48.74 degrees.

Step-by-step explanation:

We have,

Height of the cliff is 200 foot

Distance of boat from the cliff is 175 feet

It is required to find the angle of depression between the cliff and the boat.

Here, 200 foot is perpendicular distance and 175 is base.

Using trigonometry :

\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{200}{175}\\\\\theta=\tan^{-1}(1.14)\\\\\theta=48.74^{\circ}

So, the of depression between the cliff and the boat is 48.74 degrees.

8 0
2 years ago
A box of 20 Crunchy Munchy cookies costs $2.50 and a box of 40 Crunchy Munchy cookies costs $4.00. One quart of milk costs $1.50
Otrada [13]
20 crunchy munchy=2.50  this means 2.50/20=0.125 cents per candy (i assume is candy)
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3 0
2 years ago
Read 2 more answers
Thirteen is at least the difference of a number v and 1
Digiron [165]

Answer: 13 ≥  v - 1

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4 0
2 years ago
Noah is writing an exam for his 8th grade students. The exam is worth 100 points and Noah wants 35 questions on the exam. He pla
MaRussiya [10]

Answer: the system of equations are

x + y = 35

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Step-by-step explanation:

Let x= the number of short answer questions.

Let y= the number of multiple choice questions.

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x + y = 35

He plans to mix short answer questions, worth 3 points, with multiple choice questions worth 2 points. This means that x short answer questions will give 3x points and y multiple choice questions will give 2y points

Since the exam is worth 100 points, then,

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Substituting x = 35 - y into equation 1, it becomes

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y = 105 - 100 = 5

x = 35 - y = 35 - 5

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2 years ago
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Answer:

C, D, and E

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