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8_murik_8 [283]
3 years ago
15

What is the value of X in this figure? Answers: 6 6√3 12√2 12√3

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer:

12\sqrt{2}

Step-by-step explanation:

\sqrt{12^2+12^2}

12^2+12^2=12^2\cdot \:2

\sqrt{12^2\cdot \:2}

\sqrt{2}\sqrt{12^2}

12\sqrt{2}

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2. Consider the circle x² + y2 = 1, given in figure. Let OP makes an angle 30° with the x axis.
PolarNik [594]

The equation of the tangent line to the circle passing through the point P is; y = (1/√3)x ± 2/√3

<h3>How to find the equation of the tangent?</h3>

I) We are given the equation of the circle as;

x² + y² = 1

Since angle of inclination is 30°, then slope is;

m = tan 30 = 1/√3

Then equation of the tangent will be;

y = (1/√3)x + c

Put  (√3)x + c into the given circle equation to get;

x² + ((1/√3)x + c)² = 1

x² + ¹/₃x² +  (2/√3)cx + c² = 1

⁴/₃x² +  (2/√3)x + (c² - 1) = 0

Since we need to find value of c for equation to become tangent, then the above quadratic equation must have real and equal roots.

Thus;

((2/√3)c)² - 4(⁴/₃)(c² - 1) = 0

⁴/₃c² - ¹⁶/₃(c² - 1) = 0

⁴/₃c² - ¹⁶/₃c² + ¹⁶/₃ = 0

4c² = ¹⁶/₃

c² = ⁴/₃

c = √⁴/₃

c = ±²/√3

Thus, equation of tangent is;

y = (1/√3)x ± 2/√3

II) Radius from the given equation is 1. Thus, we will use trigonometric ratio to find the x and y intercept;

x-intercept is at y = 0;

0 = (1/√3)x ± 2/√3

-(1/√3)x = ±2/√3

Intercept is positive. Thus;

x = (2/√3)/(1/√3)

x = 1

y - intercept is positive at x = 0;

y = (1/√3)0 ± 2/√3

y = 2/√3

Read more about Equation of tangent at; brainly.com/question/17040970

#SPJ1

6 0
1 year ago
A used automobile dealership recently reduced the price of a used compact car by 6%. If the price of the car before discount was
Alchen [17]

Answer:

The discount = $1,128

New price = $17,672

Step-by-step explanation:

Price of car before discount = $18,800

Discount given = 6% of price of car

Discount value in dollars = 6% of $18,800 = 6/100*$18,800 = $1,128

Thus, the discount is $1,128

New price = Price of car before discount - discount = $18,800- $1,128

New price = $17,672

7 0
3 years ago
Write three numbers that round to 400
Alex777 [14]
395, 390, 398 those are the numbers
8 0
3 years ago
Consider Michelle and Gladys, two neighbors who each earn the same salary. Gladys pays less in federal income taxes than Michell
goldenfox [79]

Sad to say it is likely D.  If you are in the United States, I wouldn't know what deductions are available, but here are some possibilities.

1. Gladys is a single Mom. She gets to deduct her child.

2. Gladys owns her own home and gets to deduct her municipal tax. Michelle is renting and may be able to deduct something but not as much.

3. Gladys gets to deduct medical expenses. Michelle does not.

4. Gladys has a travelling allowance that is deductible. Michelle does not.

5. Gladys goes to church and tithes. Michelle does not.

6. Gladys has a registered savings plan. Michelle does not.

The problem is that the two women might very well be in a different tax bracket when all the deductions are considered. That depends on how the US system works. I don't think you are supposed to choose A. All other things being equal, they should be in the same tax bracket.

I don't see how B would come about. Usually state is dependent on Federal (it is in Canada anyway).

C is definitely wrong unless the savings plan is registered. Any savings plan that produces dividends or interest that is not registered is taxable.


8 0
3 years ago
Read 2 more answers
Rs 7.65 + Rs 8.65please solve this for me ​
IgorLugansk [536]

Answer:

16.30

Step-by-step explanation:

It is 16.30 because 8.65+7.65 = 16.30

8 0
3 years ago
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