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kap26 [50]
3 years ago
8

Help please, I'm not timed

Mathematics
1 answer:
eimsori [14]3 years ago
6 0

Answer:

B 30% you can divide 160 the total by 10then multiply and you can check B and C

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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
Find an exact value. Cos 75° negative square root of six plus square root of two quantity square root of six minus square root o
ehidna [41]

Answer:

√2(√3 - 1)/4

Step-by-step explanation:

To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).

Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,  

Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°

Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.

Substituting these values into the above equation, we have

Cos75° = Cos(45° + 30°)

= Cos45°Cos30° - Sin45°Sin30°

= √2/2 × √3/2 -  √2/2 × 1/2

= √6/4 -√2/4

= √2(√3 - 1)/4

6 0
3 years ago
Find the measure of angle B
amid [387]

Answer:

64°

Step-by-step explanation:

Angles in a straight line add up to 180° so 180° - 116° = 64°

7 0
3 years ago
what is the volume of a right cylinder which has a base radius of 14 inches and a height of 2 inches?
azamat
The answer is 28 for the volume
7 0
3 years ago
15. What is the algebraic notation of a figure is Translated 8<br> units left and 2 units up?
sasho [114]

Answer:

Please check the explanation.

Step-by-step explanation:

When a figure is translated with 8 units left and 2 units up, it means the translated figure can be obtained by subtracting 8 units from the x-axis and adding 2 units to the y-axis.

For example, if a point P(0, 0) is translated with 8 units left and 2 units up, the new position of the point will be:

(x, y) → (x-8, y+2)

P(0, 0) → P'(0-8, 0+2) = P'(-8, 2)

Thus, the new location of the image of point P will be: P'(-8, 2)

Therefore, option (a) is the correction answer.

<em>                                           </em><u><em>FOR QUESTION 16</em></u>

As the algebraic notation of a figure is Translated 2 units right and 5 units up.

Translating 'a' units right mean, we need to add 'a' units to the x-axis.

Thus, the rule will be:

(x, y) → (x+2, y+5)

Therefore, option (b) is correct.

4 0
3 years ago
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