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3 years ago

$769 borrowed at 5% for 13 months

Mathematics

1 answer:

Vikki [24]3 years ago

6 0

49.99 I believe thats with it rounded 49.985 without

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A student is given that point P(a, b) lies on the terminal ray of angle Theta, which is between StartFraction 3 pi Over 2 EndFra

Harman [31]

Answer:

A.

The student made an error in step 3 because a is positive in Quadrant IV; therefore,

$cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}$

Step-by-step explanation:

Given

$P\ (a,b)$

$r = \± \sqrt{(a)^2 + (b)^2}$

$cos\theta = \frac{-a}{\sqrt{a^2 + b^2}} = -\frac{\sqrt{a^2 + b^2}}{a^2 + b^2}$

Required

Where and which error did the student make

Given that the angle is in the 4th quadrant;

The value of r is positive, a is positive but b is negative;

Hence;

$r = \sqrt{(a)^2 + (b)^2}$

Since a belongs to the x axis and b belongs to the y axis;

$cos\theta$ is calculated as thus

$cos\theta = \frac{a}{r}$

Substitute $r = \sqrt{(a)^2 + (b)^2}$

$cos\theta = \frac{a}{\sqrt{(a)^2 + (b)^2}}$

$cos\theta = \frac{a}{\sqrt{a^2 + b^2}}$

Rationalize the denominator

$cos\theta = \frac{a}{\sqrt{a^2 + b^2}} * \frac{\sqrt{a^2 + b^2}}{\sqrt{a^2 + b^2}}$

$cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}$

So, from the list of given options;

The student's mistake is that a is positive in quadrant iv and his error is in step 3

3 0

2 years ago

Which number logically follows this series 4 6 9 6 14 6?

Firlakuza [10]

I would say 19.
If you take out the 6s and just look at the rest you have 4, 9, 14.
It is adding 5 each time and just have a 6 between each one.
So logically I would say 19.

3 0

3 years ago

X+4y=4 y in terms of x

Alinara [238K]

Answer:

x + 4y = 4

4y = 4 - x

multiply both sides by 1/4

y = 1/4( 4- x)

y = 1- 1/4x

3 0

2 years ago

Read 2 more answers

If the square root of x is greater than x then x could be

Shtirlitz [24]

Any decimal under 1, i believe.

8 0

3 years ago

Which coin has a diameter with a 5 in the hundredths place?

Alexus [3.1K]

It would be both the penny and the quarter.

The hundredth place would be the third one from the left.

_._ _ _

So therefore the quarter and penny both have a five in that spot.

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3 years ago