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Tema [17]
2 years ago
11

Find the angle of depression

Mathematics
1 answer:
Natali5045456 [20]2 years ago
8 0

Answer:

32

Step-by-step explanation:

I just know that it's the answer

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Consider the function y = cos (x + pi/6). Which of the following is true?
max2010maxim [7]
The answer would be A. There is a phase shift to the left. Because you are adding pi/6.
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Need help ASAP <br> questions in the pics i have sent
Cloud [144]

Answer:

Step-by-step explanation:

Picture 1

In right triangle ABC,

Side AB is the opposite side of angle C.

Picture 2

In triangle MKL,

tan(∠M) = \frac{\text{Opposite side}}{\text{Adjacent side}}

             = \frac{KL}{KM}

             = \frac{15}{8}

Option (1) is the answer.

Picture 3

In ΔXYZ,

sin(∠Z) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

            = \frac{XY}{XZ}

For the length of XY we will apply Pythagoras theorem in ΔXYZ,

XZ² = XY² + YZ²

XY² = XZ² - YZ²

      = (40)² - (32)²

XY = √576

     = 24

sin(Z) = \frac{24}{40}

sin(Z) = \frac{3}{5}

Picture 4

In right triangle DEF,

Cos(D) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

           = \frac{EF}{DF}

           = \frac{75}{72}

           = \frac{25}{24}

Picture 5

In ΔABC,

tan(63°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(63°) = \frac{BC}{AB}

AB = \frac{BC}{\text{tan}(63)}

AB = \frac{8}{\text{tan}(63)}

AB = 4.0762 ≈ 4 m

Option (3) will be the answer.

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3 years ago
A hexagonal pyramid is cut by a plane as shown in the diagram. What is the shape of the resulting cross section?
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Cross section is a surface that is exposed after slicing or making a cut through an object. If a hexagonal pyramid is cut horizontally then the cross section should be an hexagon as well since the base is a hexagon. However, when it is cut vertically the resulting shape would be a triangle.
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2 years ago
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how much of brand A fruit punch (20% fruit juice) must be mixed with 9 L of brand b fruit punch (40% fruit juice) to create a m
leonid [27]

6 liters of brand A fruit punch must be mixed with 9 L of brand b fruit punch.

Let x=liters of Brand A fruit punch to be mixed with 9 liters of Brand B fruit punch.

x + 9 = liters of mixture.

20%(x) + 9*40% = 32%(x+9)

20/100 x + 9*40/100 = 32/100 (x+9)

0.2x + 360/100 = 0.32x + 9*0.32

0.2x + 3.6 = 0.32x + 2.88

0.12x = 3.6 - 2.88

0.12x = 0.72

divide by 0.12 on both sides

x = 0.72/0.12

= 72/100/12/100

= 72/12

= 6 liters.

Therefore 6 liters of brand A fruit punch must be mixed with 9 L of brand b fruit punch.

Learn more about the fruit punch here:

brainly.com/question/28658426

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6 0
8 months ago
In order to receive a B in Biology class, Michael must have an average score of at least 82 on 5 tests. So far, he has made 88,
marysya [2.9K]

Answer:

c

Step-by-step explanation:

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2 years ago
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