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Vinil7 [7]
3 years ago
8

Find the point of depression from point A to point C

Mathematics
1 answer:
lesya [120]3 years ago
3 0

The angle of depression equals 32.


A way that you can solve this is by finding angle c. Angle C would be the same as the angle of depression because of alternate angles being congruent.

So you do the triangle angle sum theorem.

58+90+x=180

Simplify

148 +x=180

Subtract 148 from both sides

x=32

So Since angle c equals to 32 degrees, then the angle of depression is also 32 degrees.

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Anyone help me pls :(
Elis [28]

Answer:

1 - G;

2 - R;

3 - E;

4 - D;

5 - T;

6 - J;

7 - O;

8 - B;

Step-by-step explanation:

The formula for calculating the sum of interior angles is ( n − 2 ) * 180 ∘ where n is the number of sides.

1) (4 - 2) * 180 = 360 therefore X + 100 + 118 + 53 = 360  =>  X = 360 - 100 - 118 - 53 = 89   =>   X = 89

2) (5 - 2) * 180 = 540  => 90 + 90 + X + 128 + X = 540 => 2*X = 540 - 90 - 90 - 128 = 232   =>   X = 116

3) (6 - 2) * 180 = 720 => 101 + 126 + X + 96 + 147 + 135 = 720 => X = 720 - 101 - 126 - 96 - 147 - 135 = 115   =>   X = 115

4) (9 - 2) * 180 = 7 * 180, since all angles are equal the answer is 7 * 180 / 9 = 7 * 20 = 140    =>   X = 140

5) (5 - 2) * 180 = 540 => 90 + 131 + 102 + X + 145 = 540 => X = 540 - 90 - 131 - 102 - 145 = 72   =>   X = 72

6) Since the sum of the linear pair angles equal 180, X = 180 - 70 = 110 => X = 110

7) (4 - 2) * 180 = 360; Linear pair angle for 73 is 180 - 73 = 107, that means X + 102 + 39 + 107 = 360  =>  X = 360 - 102 - 39 - 107 = 112   =>   X = 112

8) (5 - 2) * 180 = 540;  Linear pair angle for 84 is 180 - 84 = 96;  Linear pair angle for 79 is 180 - 79 = 101;  Linear pair angle for 34 is 180 - 34 = 146; so X + 90 + 96 + 101 + 146 = 540   =>   X = 540 - 90 - 96 - 101 - 146 = 107  => X = 107

4 0
3 years ago
Una embarcación tenía 120 tripulantes al naufragar parece el 30% los sobrevivientes el 25% son casados¿ Cuántos de los sobrevivi
Wewaii [24]

Answer:

Solteros= 27

Step-by-step explanation:

<u>Entiendo que de los 120 tripulantes, sobrevivió el 30%. Y de los sobrevivientes, 25% son casados.</u>

<u></u>

Primero, debemos calcular la cantidad de sobrevivientes:

Sobrevivientes= 120*0.3= 36

Ahora la cantidad de casados, y por diferencia los solteros:

Casados= 36*0.25= 9

Solteros= 36 - 9

Solteros= 27

7 0
3 years ago
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 ln(x) (a) Find the interval on which f is incre
Ainat [17]

Answer: (a) Interval where f is increasing: (0.78,+∞);

Interval where f is decreasing: (0,0.78);

(b) Local minimum: (0.78, - 0.09)

(c) Inflection point: (0.56,-0.06)

Interval concave up: (0.56,+∞)

Interval concave down: (0,0.56)

Step-by-step explanation:

(a) To determine the interval where function f is increasing or decreasing, first derive the function:

f'(x) = \frac{d}{dx}[x^{4}ln(x)]

Using the product rule of derivative, which is: [u(x).v(x)]' = u'(x)v(x) + u(x).v'(x),

you have:

f'(x) = 4x^{3}ln(x) + x_{4}.\frac{1}{x}

f'(x) = 4x^{3}ln(x) + x^{3}

f'(x) = x^{3}[4ln(x) + 1]

Now, find the critical points: f'(x) = 0

x^{3}[4ln(x) + 1] = 0

x^{3} = 0

x = 0

and

4ln(x) + 1 = 0

ln(x) = \frac{-1}{4}

x = e^{\frac{-1}{4} }

x = 0.78

To determine the interval where f(x) is positive (increasing) or negative (decreasing), evaluate the function at each interval:

interval                 x-value                      f'(x)                       result

0<x<0.78                 0.5                 f'(0.5) = -0.22            decreasing

x>0.78                       1                         f'(1) = 1                  increasing

With the table, it can be concluded that in the interval (0,0.78) the function is decreasing while in the interval (0.78, +∞), f is increasing.

Note: As it is a natural logarithm function, there are no negative x-values.

(b) A extremum point (maximum or minimum) is found where f is defined and f' changes signs. In this case:

  • Between 0 and 0.78, the function decreases and at point and it is defined at point 0.78;
  • After 0.78, it increase (has a change of sign) and f is also defined;

Then, x=0.78 is a point of minimum and its y-value is:

f(x) = x^{4}ln(x)

f(0.78) = 0.78^{4}ln(0.78)

f(0.78) = - 0.092

The point of <u>minimum</u> is (0.78, - 0.092)

(c) To determine the inflection point (IP), calculate the second derivative of the function and solve for x:

f"(x) = \frac{d^{2}}{dx^{2}} [x^{3}[4ln(x) + 1]]

f"(x) = 3x^{2}[4ln(x) + 1] + 4x^{2}

f"(x) = x^{2}[12ln(x) + 7]

x^{2}[12ln(x) + 7] = 0

x^{2} = 0\\x = 0

and

12ln(x) + 7 = 0\\ln(x) = \frac{-7}{12} \\x = e^{\frac{-7}{12} }\\x = 0.56

Substituing x in the function:

f(x) = x^{4}ln(x)

f(0.56) = 0.56^{4} ln(0.56)

f(0.56) = - 0.06

The <u>inflection point</u> will be: (0.56, - 0.06)

In a function, the concave is down when f"(x) < 0 and up when f"(x) > 0, adn knowing that the critical points for that derivative are 0 and 0.56:

f"(x) =  x^{2}[12ln(x) + 7]

f"(0.1) = 0.1^{2}[12ln(0.1)+7]

f"(0.1) = - 0.21, i.e. <u>Concave</u> is <u>DOWN.</u>

f"(0.7) = 0.7^{2}[12ln(0.7)+7]

f"(0.7) = + 1.33, i.e. <u>Concave</u> is <u>UP.</u>

4 0
3 years ago
Which choice provides the most relevant detail?
aleksklad [387]

Option B, supplement and convert it into gas to use as fuel is the correct answer.

The best option is B because, compared to conventional yoghurt, Greek yoghurt demands up to four times as much milk to make. Greek yoghurt also generates more acid whey, that is challenging to dispose. During the production of yoghurt, a lot of gases are released along with the acid, which farmers have discovered can be utilized as a protein in livestock feed.

Additionally, scientists are attempting to reuse this acid. They are attempting to employ these pricey yet worthwhile conservation techniques. Nutritionists discuss Greek yogurt's advantages. As a result, choice B is correct.

Here is a similar question with an answer related to this question :

about whey: brainly.com/question/9171032

#SPJ4      

     

7 0
1 year ago
Assume that A varies directly with z. If A = 30 when z = 5, find A when z = 9.
pishuonlain [190]
If A varies directly with z, and A is 30 and z is 5, then when z is 1, A is 6.
z: 5 ÷ 5 = 1
A: 30 ÷ 5 = 6
Then, when z is 1, A is 6
So, when z is 9, A is...
z: 1 × 9 = 9
A: 6 × 9 = 54

A is 54
6 0
3 years ago
Read 2 more answers
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