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Vlad1618 [11]
2 years ago
7

Given that sec(θ)=5/3 and θ is in Quadrant I, what is tan(θ)? Write your answer in exact form. Do not round.

Mathematics
1 answer:
sergeinik [125]2 years ago
7 0

9514 1404 393

Answer:

  tan(θ) = 4/3

Step-by-step explanation:

The relationship between secant and tangent is ...

  1 +tan² = sec²

The the tangent of the angle is ...

  tan(θ) = √(sec²(θ) -1)

  tan(θ) = √((5/3)² -1) = √(16/9)

  tan(θ) = 4/3

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Lana71 [14]

Subtract 13 from both sides

-5x = -17 - 13

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Divide both sides by -5

x = -30/-5

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x = 30/5

Simplify 30/5 to 6

<u>x = 6</u>

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3 years ago
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Expand and simplify (x+3)²
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Answer:

<h2>x² + 9 + 6x </h2>

Step-by-step explanation:

expand and simplify (x+3)²

(x+3)² =

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x² + 9 + 6x

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Simplify ( √ 5)(^3 √ 5) the answer will be a wholenumber and a fraction
arlik [135]

Answer:

\sqrt{5}\cdot\sqrt[3]{5} =\sqrt[6]{5^3} \cdot\sqrt[6]{5^2} =\sqrt[6]{5^5} =5^{(5/6)}

Step-by-step explanation:

The rules of exponents apply, even when they are fractional exponents:

a^b\cdot a^c=a^{b+c}\\\\\sqrt[b]{x^a}=x^{(a/b)}

6 0
3 years ago
A ladder leaning against a wall makes a 60° angle with the ground. The base of the ladder is 3 m from the building. How high abo
Marysya12 [62]

Answer:

The distance is 5.20m

Step-by-step explanation:

Here, we want to get the height of the ladder

To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle

The angle here faces the height we want to calculate

This height is known as the opposite

What we have is the adjacent

Now, the trigonometric identity that relates the opposite and the adjacent is the tan

The tangent of an angle is the ratio of the opposite to the adjacent

Mathematically;

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7 0
3 years ago
X - y = -2<br> y = -x - 2<br> What is the solution
LenKa [72]

Answer:

<em>x </em>= -2

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Step-by-step explanation:

Pretty hard process, but let me explain:

First, solve for y.

Substitute -x - 2 for y in x - y = -2:

Then, simplify both sides of the equation.

x - y = -2

x - (-x - 2) = -2

After, add -2 to both sides of the equation.

2x + 2 = -2

2x + 2 + -2 = -2 + -2

Next, divided both sides by 2.

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After that, substitute -2 for x in y = -x - 2:

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y = -x - 2

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y = 0

Sorry if this is long and confusing, but I hope this helps!!

4 0
4 years ago
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