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vodka [1.7K]
3 years ago
7

Find the tangent of angle Z.

Mathematics
1 answer:
Elza [17]3 years ago
3 0

\tan Z = \dfrac{ \textrm{opp}}{\textrm{adj}} = \dfrac{8}{6} = \dfrac{4}{3}

Tangent Z: 4/3

\cos Y = \dfrac{\textrm{adj}}{\textrm{hyp}} = \dfrac{8}{10} = \dfrac 4 5

Cosine Y: 4/5

\cot Y= \tan Z = \dfrac 4 3

Cotangent Y: 4/3

\sin Y = \dfrac{ \textrm{opp}}{\textrm{hyp}} = \dfrac{6}{10} = \dfrac{3}{5}

\sec Z = \dfrac{1}{\cos Z} = \dfrac{1}{\sin Y} = \dfrac{5}{3}

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Answer: Additive Inverse

Step-by-step explanation: The Additive Inverse tells us that if we add

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Hey need some help with this problem, its trigonometry with right triangles using SohCahToa if you can give me a hand it would b
Firlakuza [10]

For the given triangle, the value of x equals 30.9892 units.

Step-by-step explanation:

Step 1:

In the triangle, the angle is 40°, the opposite side has a length of 26 units, the adjacent side has a length of x units while the hypotenuse is not given.

To determine the value of x, we determine the value of the tan of the given triangle.

To calculate the tan of angle A we divide the opposite side's length by the the adjacent side's length.

tan A = \frac{oppositeside}{adjacent side}.

Step 2:

The length of the opposite side = 26 units.

The length of the adjacent side = x units.

tan A = \frac{oppositeside}{adjacent side}, tan 40 = 0.8390, tan A = \frac{26}{x} .

0.8390 = \frac{26}{x} , x = \frac{26}{0.8390} = 30.9892.

So x measures 30.9892 units.

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The sum or difference of p and q is the of the x-term in the trinomial.​
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Kamil invests 9000 for 4 years his investment pays compound interest of x% per anumn
elena-s [515]

To get the Total amount upon investment for the compound interest, plug in the value of x into the given expression bellow

<em>A = 9,000.00(1 +  x/100)^(4)</em>

Given data

Principal = $9000

Time = 4 years

Rate = x% per annum

<h3>Solution</h3>
  • Step one:

First, convert R as a percent to r as a decimal

r = x/100

r = x/100

  • Step two:

Then solve the equation for A

A = P(1 + x/100)^t

A = 9,000.00(1 + x/100)^(4)

A = 9,000.00(1 +  x/100)^(4)

  • Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $9,000.00 at a rate of x% per year.

Learn more about compound interest here:

brainly.com/question/24924853

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2 years ago
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