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kap26 [50]
3 years ago
12

What is the MEDIAN of the data - (12, 8, 6, 12, 16, 12) *

Mathematics
1 answer:
Lena [83]3 years ago
6 0

Answer:

the median of this data is 12

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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>A.</em>

<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
Jerry weighs 95 pounds. This is 15 pounds less than Mikey weighs. How much does Mikey weigh? *
monitta

Answer:

Mikey weighs 110 pounds.

Step-by-step explanation:

Because Mikey weighs 15 pounds more, just add 95 pounds and 15 pounds to get Mikey's weight:

95 + 15 = 110

I hope this helps you!

Please rate my answer and give me Brainliest!

Have a nice day! :)

6 0
3 years ago
Read 2 more answers
HELP ME PLEASE I BEG YOU
spayn [35]

Answer:

∠ K = 35° and ∠ L = 105°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

let ∠ K = x then ∠ L = 3x

Sum the angles and equate to 180

3x + x + 40 = 180, that is

4x + 40 = 180 ( subtract 40 from both sides )

4x = 140 ( divide both sides by 4 )

x = 35

Thus

∠ K = 35° and ∠ K = 3x = 3 × 35 = 105°

5 0
3 years ago
Write the following numerals in words <br><br> 7,350,023<br><br> 200,463<br><br> 21,000,000
pogonyaev
1) Seven million three hundred fifty thousand twenty-three
2) Two hundred thousand four hundred sixty-three
3) Twenty one million
8 0
4 years ago
Read 2 more answers
A recipe calls for 2 cups of flour of flour to make 3 dozen cookies. Is 3 cups of flour enough to make 60 cookies?
Alex787 [66]

Answer:

no it is not

Step-by-step explanation:

it would be 54

8 0
3 years ago
Read 2 more answers
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