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2 years ago

In which triangle is the measure of the unknown angle, x, equal to the value of sin–1(StartFraction 5 Over 8. 3 EndFraction)?.

Mathematics

1 answer:

almond37 [142]2 years ago

6 0

The triangle is a right-angled triangle with a perpendicular side of 5 and a hypotenuse of 8.3.

<h2 /><h2>Given to us</h2>

$\theta = sin^{-1}\dfrac{5}{8.3}$

as we know that sine for any angle is the ratio of its perpendicular to the hypotenuse, and trigonometry is only applicable to a right-angled triangle.

therefore,

$\theta = sin^{-1}\dfrac{5}{8.3}\\\\sin \theta=\dfrac{5}{8.3}=\dfrac{Perpendicular}{Hypotenuse}\\$

Hence, the triangle is a right-angled triangle with a perpendicular side of 5 and a hypotenuse of 8.3.

Learn more about Sine:

brainly.com/question/18055768

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jason deposit $5000 in a bank account that will pay him 4% simple interest annually if jason deposits no more than the initial $

kotegsom [21]

$\sf I=prt$

Plug in what we know:

$\sf I=5000(0.04)(5)$

Multiply:

$\sf I=1000$

Add this to the original amount.

$\sf 5000+1000=\boxed{\sf \$ 6000}$

So he will have $6000 in his account after 5 years.

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2 years ago

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = cos(θ) + sin(10

vivado [14]

Answer:

Step-by-step explanation:

x = cos θ + sin(10θ)

y = sin θ + cos(10θ)

Take derivative with respect to θ:

dx/dθ = -sin θ + 10 cos(10θ)

dy/dθ = cos θ - 10 sin(10θ)

Divide:

dy/dx = (dy/dθ) / (dx/dθ)

dy/dx = (cos θ - 10 sin(10θ)) / (-sin θ + 10 cos(10θ))

Evaluate the derivative at θ=0:

dy/dx = (cos 0 - 10 sin 0) / (-sin 0 + 10 cos 0)

dy/dx = 1/10

Evaluate the parametric functions at θ=0:

x = cos 0 + sin 0 = 1

y = sin 0 + cos 0 = 1

Writing the equation of the tangent line in point-slope form:

y - 1 = 1/10 (x - 1)

6 0

3 years ago

What is the value of x?<br><br><br> 103√ <br><br> 10<br><br> 53√ <br><br> 5

d1i1m1o1n [39]

Sin 60⁰= x/10
x=10*sin 60⁰
x=10*(√3/2)=5√3
x=5√3
Answer is x=5√3.

8 0

3 years ago

Read 2 more answers

What is the margin of error for a yes/no survey of 200 people with a proportion of 65% who answered \"yes\"?. A. ±3.37%. B. ±5.0

azamat

$\sqrt{(p*q)/n}$

where p is the number of positive outcomes (yes) and q is the number of negative outcomes (no).

$\sqrt{(0.65*(1-0.65))/200}$ = 0.0337 or 3.37%

answer is A.

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3 years ago

The angles of a triangle are 99??, 3x??, and x + 5??.

Anit [1.1K]

Since we know a triangle only has 180 degrees we can say:

99+3x+x+5=180

Then we can solve for x:

4x+104=180
4x=76

x=19

3 0

3 years ago