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3 years ago

Use a calculator to evaluate cot pi/5

1 answer:

6 0

It is about <span>1.37638192.
The cotangent is just one divided by the tangent. So, find the tangent of pi/5 = </span><span>0.726542528, then divide 1 by that number.</span>

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Definition:A sailboat set a course of N 25° E from a small port along a shoreline that runs north and south. Sometime later the

kicyunya [14]

Answer:

S 75°E

S 55°E

Step-by-step explanation:

Take the law if sines of a triangle:

$\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}$

Where,

a = 28 miles

B = 25°

b = 12 miles

First solve for A, using the law of sines:

$\frac{a}{sinA} = \frac{b}{sinB}$

$\frac{28}{sinA} = \frac{12}{sin25}$

Cross multiply:

$28 sin25 = 12 sinA$

$11.83 = 12 sinA$

$Sin A = \frac{11.83}{12}$

$Sin A = 0.986$

$A = sin^-^1(0.986)$

$A = 80.44 degrees$

Since A = 80.44° find A supplement, A`:

A` = 180 - 80.44

A` = 99.56°

If A` + B < 180°, find C.

Thus,

A` + B = 99.56 + 25 = 124.56

We can see that A` + B < 180

Find C:

C = 180 - (80.44+25) = 74.56° ≈ 75°

C` = 180 - (99.56+25) = 55.44° ≈ 55°

Rewrite in bearing form:

S 75°E

S 55°E

5 0

3 years ago

Pythagorean theorem 19^2 + 21^2=x^2

alexira [117]

Answer:

x = 28.32 units.

Step-by-step explanation:

Given:

Longer leg = 21

Shorter leg = 19

Hypotenuse = x

To Find:

Hypotenuse = x = ?

Solution:

Pythagoras Theorem States that

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

Substituting of the given value above equation we get

$x^{2} =21^{2}+ 19^{2}\\ \\x^{2}=441 + 361\\\\x^{2}=802\\ \therefore x=\pm\sqrt{802} \\\textrm{as x cannot be negative}\\\therefore x=\sqrt{802}\\\\\therefore x=28.319\ units\\\therefore x=28.32\ units$