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3 years ago

Which ratio can be used to solve for y in the triangle below?

Mathematics

2 answers:

omeli [17]3 years ago

8 0

Answer:

sin 75 sin 40

------------ = ------------

25 y

Step-by-step explanation:

We can use the law of sines to solve this problem

sin 75 sin 40

------------ = ------------

25 y

Using cross products

y sin 75 = 25 sin 40

y = 25 sin 40 / sin 75

y =16.63656753

Crank3 years ago

5 0

Answer:

sin75/25=sin40/y

Step-by-step explanation:

sin75/25=sin40/y

you can use cross products to solve but since you didn't ask for solving I will just give you the ratio :)

please mark me brainliest :)

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svlad2 [7]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

How To work this out ?

MrMuchimi

(a) Using the completing the square method, we need to write into the form of where , so
Expand to find the value of c
Notice that we get back the first two terms, the and the .We need to get rid of the last term of '9' as the term was not in the original form. The final form will look like
Hence,
(b)
(c) , square root both sides plus and minus of 2 Hence

6 0

3 years ago

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

What is the smallest integer greater than 1 that is both the square of an integer and the cube of an integer?

serg [7]

Answer: 64

√64 = 8

∛64 = 4

5 0

3 years ago

Dina invests $600 for 5 years at a rate of 2% per year compound interest.

Aleks [24]

Answer:

The value of this investment at the end of the 5 years is of $662.5.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Dina invests $600 for 5 years at a rate of 2% per year compound interest.

This means that $P = 600, t = 5, r = 0.02, n = 1$ . Thus