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statuscvo [17]
1 year ago
12

Find the angle in the attachment​

Mathematics
1 answer:
Vadim26 [7]1 year ago
7 0
Right-angled triangle. Let x be the required angle. Tan x = 8/6. x= 53.1°
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Directions: Find the indicated trigonometric ratio as a fraction in simplest form. 1. Sin L =
Rainbow [258]

Answer:

\sin L = 0.60

tan\ N = 1.33

\cos L = 0.80

\sin N = 0.80

Step-by-step explanation:

Given

See attachment

From the attachment, we have:

MN = 6

LN = 10

First, we need to calculate length LM,

Using Pythagoras theorem:

LN^2 = MN^2 + LM^2

10^2 = 6^2 + LM^2

100 = 36 + LM^2

Collect Like Terms

LM^2 = 100 - 36

LM^2 = 64

LM = 8

Solving (a): \sin L

\sin L = \frac{Opposite}{Hypotenuse}

\sin L = \frac{MN}{LN}

Substitute values for MN and LN

\sin L = \frac{6}{10}

\sin L = 0.60

Solving (b): tan\ N

tan\ N = \frac{Opposite}{Adjacent}

tan\ N = \frac{LM}{MN}

Substitute values for LM and MN

tan\ N = \frac{8}{6}

tan\ N = 1.33

Solving (c): \cos L

\cos L = \frac{Adjacent}{Hypotenuse}

\cos L = \frac{LM}{LN}

Substitute values for LN and LM

\cos L = \frac{8}{10}

\cos L = 0.80

Solving (d): \sin N

\sin N = \frac{Opposite}{Hypotenuse}

\sin N = \frac{LM}{LN}

Substitute values for LM and LN

\sin N = \frac{8}{10}

\sin N = 0.80

7 0
3 years ago
How many books can be stacked on top of one another inside a cupboard 1.21 m high on the inside, knowing that the thickness of e
kvasek [131]

Answer:

10 books approx

Step-by-step explanation:

Step one:

Given data

Hight of cupboard= 1.21m

Thickness of book= 12.5cm

thickness in meters= 12.5/100= 0.125m

Required

The number of books need to fill the Cupboard

Step two:

the number of books can be computed as

= 1.21/0.125

=9.68 book

=10 books approx

4 0
2 years ago
Simplify and leave in radical form. <br> 8√x^2 y^6
IrinaK [193]

Step-by-step explanation:

\sqrt[8]{ {x}^{2}  {y}^{6} }  \\  \\  = ( {x}^{2} {y}^{6}  )^{ \frac{1}{8} }  \\  \\  =  {x}^{2 \times \frac{1}{8}} {y}^{6\times \frac{1}{8}}  \\  \\  = x^{\frac{1}{4}} {y}^{3\times \frac{1}{4}}  \\  \\   = x^{\frac{1}{4}} {y}^{\frac{3}{4}}  \\  \\   =  \sqrt[4]{x {y}^{3} }  \\

4 0
3 years ago
Help please!! I will give crown! :D
GREYUIT [131]

Answer:

C. Please mark Brainliest!!!!!!

Step-by-step explanation:

You move it 5 over, so it is 3.844x10^5

6 0
2 years ago
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If two events have probabilities which sum to 1, they are called _ _ _ _ _ _ _ _ _ _ _ _ _ events​
Tom [10]

Answer:

An event with probability 0 never occurs. An event with probability 1 occurs on every trial

Step-by-step explanation:

3 0
3 years ago
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