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2 years ago

Express cos K as a fraction in simplest terms.

Mathematics

1 answer:

nata0808 [166]2 years ago

4 0

Answer:

4/5

Step-by-step explanation:

In a right triangle such as this one

cos (angle) = adjacent leg / hypotenuse

cos(k) = KL / 15

You will need to find the leg length KL using Pythagorean Theorem

15^2 = 9^2 + (KL)^2 KL = 12

then cos k = 12/15 = 4/5

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marysya [2.9K]

The product is equal to:

$\frac{18}{25}(cos(165) + i*sin(165))$

<h3>How to solve the product?</h3>

Remember that we can write a complex number in polar form as:

$R*e^{i*a} = R*(cos(a) + i*sin(a))$

Then the given product:

$\frac{6}{5}*(cos(120) + i*sin(120))*\frac{3}{5}*(cos(45) + i*sin(45))$

can be rewritten to:

$(\frac{6}{5}*e^{i*120})*(\frac{3}{5}*e^{i*45})$

Now is easier to solve the product:

$(\frac{6}{5}*e^{i*120})*(\frac{3}{5}*e^{i*45})\\\\= \frac{6}{5} *\frac{3}{5} *e^{i*(120 + 45)}\\\\= \frac{18}{25}*e^{i*165}\\\\= \frac{18}{25}(cos(165) + i*sin(165))$

If you want to learn more about complex numbers:

brainly.com/question/10662770

#SPJ1

4 0

2 years ago

Please help and thank you!

lukranit [14]

9514 1404 393

Answer:

base area: 21 ft²
volume 105 ft³

Step-by-step explanation:

The area of a triangle is given by the formula ...

A = (1/2)bh

The base and height of a right triangle can be taken to be the leg lengths, since each is perpendicular to the other.

A = (1/2)(6 ft)(7 ft) = 21 ft² . . . . base area

The volume is the product of the base area and the height:

V = Bh

V = (21 ft²)(5 ft) = 105 ft³ . . . . volume

6 0

3 years ago

Pls help me I don’t understand

ipn [44]

Answer:

m<PXQ Is Acute

m<QXN is Obtuse

Step-by-step explanation:

Acute Angles are lsss than 90⁰

Obtuse Angles are greater than 90⁰

Right angles are exactly 90⁰

6 0

3 years ago

To subtract a fraction or a mixed number from a whole number, you’ll first need to convert the whole number to which of the foll

ladessa [460]

IMproper fraction is what you need to covert it 2 cuz u multiply then add and u'll get it

8 0

3 years ago

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Which of the following best describes the following expression? √36

Olin [163]

The answer is the positive square root of 36

4 0

3 years ago

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