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-BARSIC- [3]
3 years ago
13

Find the component form of the vector v ⃗ with ‖v ⃗ ‖=4√3 when drawn in standard position v ⃗ lies in Quadrant II and makes a 30

° angle with the positive y-axis. Give exact values.
Mathematics
1 answer:
nydimaria [60]3 years ago
8 0
The answer:

first of all, we should know that the expression of a vector V (a, b) can be written as follow:

V = r (Vx i + Vyj), where r is the length of the vector, it is r = sqrt(V²x + V²y)
Vx is the component lying on the x-axis and Vy on the y-axis

<span>v ⃗ lies in Quadrant II, means Vx is less than 0 (negative)
</span>
so Vx= -r sin30° and Vy= rcos30° 

r= <span>‖v ⃗ ‖=4√3 
</span>
so we have   v = - 4√3sin30° i  + 4√3 cos30° j

the components are 

v(- 4√3sin30°,  4√3 cos30°) = (-2√3, 4√3 cos30°)
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3 years ago
Use the arc length formula and the given information to find r. s = 12 cm, 0 = 360; r = ?
hjlf
use s=r0

but first convert 360 degree to radian
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8 0
2 years ago
Please help asap
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6 0
2 years ago
If you can answer this u are the best
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Answer:

47

Step-by-step explanation:

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5 0
2 years ago
The population of a small town can be modeled by the equation where t is the number of years since the collection of the populat
liberstina [14]

The true statements is the population was 4800 when the collection of data began. (3rd option)

<h3>What is an exponential function?</h3>

An exponential equation can be described as an equation with exponents. The exponent is usually a variable.

The general form of exponential equation is f(x) = e^{x}

Where:

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When a population grows at an exponential rate, it usually has compound rate of growth. Compound growth refers to the geometric progression of a variable.

The exponential equation used to represent an exponential growth usually have this form:

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Where:

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Given this exponential equation : f(x) = 4800 (1.02)^t

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To learn more about exponential functions, please check: brainly.com/question/26331578

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