If cot(theta)= 4/3, find csc(theta) (Picture provided)

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

If $\cot \theta=(4)/(3),$ then we can consider right triangle with adjacent leg 4 un. and opposite leg 3 un.. By the Pythagorean theorem,

$\text{hypotenuse}^2=\text{adjacent leg}^2+\text{opposite leg}^2,\n \n\text{hypotenuse}^2=4^2+3^2,\n \n\text{hypotenuse}^2=16+9,\n \n\text{hypotenuse}^2=25,\n \n\text{hypotenuse}=5\ un.$

So,

$\csc \theta=\frac{\text{hypotenuse}}{\text{opposite leg}}=(5)/(3).$

Answer 2

Answer:

Answer:

The correct answer is option d

Step-by-step explanation:

Trigonometric ratio

Cot θ = Adjacent side/Opposite side

It is given that,

Cot θ = 4/3

Adjacent side = 4

Opposite side = 3

Csc θ = Hypotenuse/Opposite side

To find the Hypotenuse

Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²

Hypotenuse = √(3²+ 4²) = 5

To find Csc θ

Csc θ = Hypotenuse/Opposite side = 5/3

The correct answer is option d

Csc θ = 5/3

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Designer Dolls, Inc. found that the number N of dolls sold varies directly with their advertising budget A and inversely with the price P of each doll. The company sold 5200 dolls when $26,000 was spent on advertising and the price of a doll was set at $30. Determine the number of dolls sold when the amount spent on advertising is increased to $52,000. Round to the nearest whole number. Question 10 options: 3,447 dolls 10,400 dolls 5,200 dolls 1,723 dollsA.3,447 dolls
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Answers

Direct variation: y = kx
Inverse variation: y = k/x

Using the information above about direct and inverse variation, we get this general equation.

N = kA/P

Now we use the given information to find the value of the constant, k.

5200 = k * 26,000/30

k = 6

Now we know k, so we can write the equation for this case.

N = 6A/P

A = 52,000

N = 6 * 52,000/30

N = 10,400

What is 10 to the power of 9 times 2.64

Answers

Solution: 10∧9 x 2.64 = n

Answer: 2,640,000,000

From where Kiana is standing she must look up at a 50° angle to see the top of a building she backs up 50 feet she will need to look up a 40° angle to see the top of the same building approximately how tall is the building

Answers

For this case, what we must do is solve the following system of equations: tan (50) = h / x tan (40) = h / (x + 50)

Solving the system we have: (x + 50) * tan (40) = h (x) * tan (50) = h

Matching: (x + 50) * tan (40) = (x) * tan (50)

Rewriting: x (tan (50) - tan (40)) = 50 * tan (40) x = 50 * tan (40) / (tan (50) - tan (40)) x = 118.9692621

Substituting: h = (x) * tan (50) h = (118.9692621) * tan (50) h = 141.7820455

B. 141.8ft

I would say approx 110ft. I’m not certain.

I hope this helped!

I would appreciate it if you gave me a Thanks and a brainliest (:

Calculate sin a=0.34

Answers

$sina=0.34$ has already been calculated for us, but to calculate the angle, which is what I'm assuming you want to know, we must take the inverse trigonometric function of sin.

From: $sina=0.34$ , we can derive that:

$a=sin ^(-1) 0.34$

Using a scientific calculator to solve this, we can see that the degrees that a is equal to (rounded to the nearest degree) is:

$a=20$ °

Wish you luck! :)

Simplify sin(3x+13)=cos(4x)

Answers

Sin(3×+13)=sin(pi/2-4×)
3x+13 =pi/2 -4× or 3×+13 =pi-pi/2 + 4×
7× = pi/2 - 13 +k2pi or -× = pi/2 +k2pi
× = pi/14 - 13/7 k2pi/7 or X = -pi/2 + kpi

Find two rational numbers between -1 and 0

Answers

Answer:

-1/2 and -3/4

Step-by-step explanation:

rational numbers are numbers that can be expressed in a fraction

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