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3 years ago

Given:

Mathematics

1 answer:

otez555 [7]3 years ago

8 0

Answer:

the question is incorrectly written. please rewrite the question.

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Compare 2/5 and 1/10. what is the denominator

omeli [17]

1/5 five being the denominator, because in math you must always simplify

7 0

3 years ago

Read 2 more answers

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

3 years ago

Which number line represents the solution set for the inequality 1x24?

coldgirl [10]

Answer:

2 should be the correct one.

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3 years ago

Please answer this correctly

ira [324]

Answer:

Surface area = 804m^2

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3 years ago

Suppose you own a car that gets 35 miles per

SSSSS [86.1K]

Answer:

$30

Step-by-step explanation:

840/35 = 24 gallons

24*1.25 = 30 dollars

7 0

2 years ago