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vichka [17]
3 years ago
11

Can u help me pls I don”t know what to do

Mathematics
1 answer:
Sloan [31]3 years ago
8 0

Answer:

Step-by-step explanation:

Do you know SOHCAHTOA

Sin = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

#1

We have to find cos(x) = adjacent/hypotenuse

cos(x) = adj/hyp\\=\frac{24}{26} = \frac{12}{13}

#2:

We are given an angle of 30 degrees and an opposite side of 15

We need to find the adjacent side, so we can use Tangent

tan(30) = \frac{15}{adj}

adj = \frac{15}{tan(30)} =  25.98 = 26

#3

We are given an angle and an opposite side and we have to solve for hypotenuse.

We can use sin

sin(43) = \frac{16}{x} \\x = \frac{16}{sin(43)} = 23.46 = 23.5

#4:

We are given two sides, we have to find the angle. We are given an opposite side and an adjacent side, so we can use arctangent (tan^-1(x), but not 1/tan(x))

tan(x) = \frac{36}{19} \\arctan(36/19) = x\\x = 62.1759

#5

We are given an opposite side and the hypotenuse, we can use sin

sin(x) = \frac{19}{28}\\x = arcsin(19/28) = 42.73 = 43

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3 years ago
In the diagram below, points A, E, and F lie on the same line. If ABCDE is a regular pentagon, and \angle EFD=90^\circ, then how
mash [69]

The measure of ∠FDE = 18°

<u>Explanation:</u>

A Pentagon has 5 sides and is made of 3 triangles

So, sum of the interior angles of the triangle = 180°

Therefore, the total interior angle of a regular pentagon = 3 X 180° = 540°

A regular pentagon will have all its angle equal

All the five angles would make 540°

Let the measure of one angle = x

So,

5x = 540°

x = 108°

Therefore, the measure of each angle of a pentagon is 108°

From the diagram,

∠AED + ∠FED = 180°

∠AED = 108° as it is one of the sides of the pentagon

So,

108° + ∠FED = 180°

∠FED = 72°

In ΔEFD,

∠FED + ∠EFD + ∠FDE = 180°

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∠FDE = 18°

Therefore, the measure of ∠FDE = 18°

8 0
3 years ago
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