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ludmilkaskok [199]
3 years ago
9

Analyze the diagram below and complete the instructions that follow?

Mathematics
1 answer:
yan [13]3 years ago
6 0

Answer:

The exact value of tan(M) is 5/12 ⇒ answer (C)

Step-by-step explanation:

* Lets revise the trigonometry functions

- In ΔABC

# m∠B = 90°

# Length of AB = a , length of BC = b and length of AC = c

# The trigonometry functions of angle C are

- sin(C) = a/c ⇒ opposite side to ∠C ÷ the hypotenuse

- cos(C) = b/c ⇒ adjacent side to ∠C ÷ the hypotenuse

- tan(c) = a/b ⇒ opposite side to ∠C ÷ adjacent side to ∠C

* Now lets solve the problem

- In ΔONM

∵ m∠N = 90°

∵ MN = 12

∵ ON = 5

∵ tan(M) = ON/NM ⇒ opposite side of ∠(M) ÷ adjacent side of ∠(M)

∴ tan(M) = 5/12

* The exact value of tan(M) is 5/12

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Which equations represents the line that pases through points (1,-5) and (3, -17)?
Pachacha [2.7K]

Answer:

y= -6x +1

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx +c, where m is the gradient (or slope) and c is the y-intercept.

In order to find the equation of a line, you would need 2 things:

① Gradient (← can be found)

② Coordinate (✓ we have 2 coordinates here)

To find the gradient, use the gradient formula below:

gradient =  \frac{y1 - y2}{x1 - x2}

m =  \frac{ - 5 - ( - 17)}{1 - 3}  \\ m =  \frac{ - 5 + 17}{ - 2}  \\ m =  \frac{12}{ - 2}  \\ m =  - 6

Substitute the value of m into the equation:

y= -6x +c

To find the value of c, substitute a pair of coordinates.

When x=1, y= -5,

-5= -6(1) +c

c -6= -5

c= 6 -5

c= 1

Thus, the equation of the line is y= -6x +1.

4 0
3 years ago
What is the area of the polygon below?
Julli [10]

Answer:

A. 147

Step-by-step explanation:

Divide the polygon into rectangles.

You will have 2 rectangles:

1) 3 x 10

2) 9 x 13

Now you just need to find the area of this 2 rectangles and add them up.

6 0
1 year ago
Which term is used to describe how light is reflected from a minerals surface
pantera1 [17]

Answer:

Luster describes the reflection of light off a mineral's surface. Mineralogists have special terms to describe luster. Minerals that are opaque and shiny, such as pyrite, have a metallic luster.

Step-by-step explanation:

5 0
3 years ago
Given cos 8 = and angle 6 is in Quadrant IV, what is the exact value of sin 0 in
adoni [48]

cos0 = √3/2

1 - cos²0 = sin²0

= 1/4 = sin²0

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sin0 = -1/2

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miskamm [114]

EXPLANATION

Given the equation:

a+23 = 38

Adding -23 to both sides will give us:

a= 38-23

a=15

Answer--> B. 15 because to isolate a, you would subtract 23 from 38.

5 0
1 year ago
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