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3 years ago

You don't need to explain.

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

5 0

Answer:

x=1

x y

---------------

1 1

2 2

3 3

4 4

5 5

etc.

Step-by-step explanation:

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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:

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

<em /> $cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}$

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;

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

3 0

3 years ago

What are three complex fractions that all simplify to one fourth

Margaret [11]

These could be some possible amswers:2/8, 8,32, 3/12

5 0

2 years ago

Morgan wants to draw a right triangle two side lengths are 6 unites and 8 units. select all the possible dimensions of the third

olga_2 [115]

The possible dimension of the third side is 10 units.

<h3>What is the possible dimension of the third side?</h3>

A right triangle is a triangle that has three sides known as the opposite, adjacent and hypotenuse. The hypotenuse is the longest sides of the triangle. The opposite side is the side that faces an angle. The adjacent side is the third side.

If two side lengths are given, the third side can be determined using the Pythagoras theorem.

√a² + b ² = c

√6² + 8² = √36 + 64 = 10 units

To learn more about right angled triangle, please check: brainly.com/question/20694080

#SPJ1

5 0

1 year ago

Shots invests $1000 in a certificate of deposit that earns interest. The investment’s value is multiplied by 1.02 each year

Slav-nsk [51]

Answer:

1000 times 1.02

Here the answer will be 1020.

Step-by-step explanation:

1000 times 1.02= 1020

3 0

3 years ago

Read 2 more answers

Which expression makes the equation true for all values of x 16x - 16=(?)

fredd [130]

The answer is A)4x-4

7 0

3 years ago