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3 years ago

Find one solution for the equation. Assume that all angles involved are acute angles.

Mathematics

1 answer:

Nikitich [7]3 years ago

5 0

9514 1404 393

Answer:

B = 13

Step-by-step explanation:

The tangent and cotangent are equal when the angles are complementary.

(3B +35) +(2B -10) = 90

5B = 65

B = 13

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<em>Check</em>

For B=13, the angles are 3B+35 = 39+35 = 74, and 2B-10 = 26-10 = 16. Both are acute angles.

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Find the distance between the points (-6, -8) and (0, -10).

inn [45]

Answer:

2√10

Step-by-step explanation:

-√(x2-x1) squared +(y2-y1) squared

-√(0-(-6)) squared +(-10-(-8)) squared

- simplify and get 2√10 which you can simply further to 6,32( rounded off to two decimal places)

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2 years ago

Use the slope-intercept form to graph y=3/5x-3

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Step-by-step explanation:

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3 years ago

Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59

andreyandreev [35.5K]

Answer: The distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

Step-by-step explanation:

Since we have given that

Distance between Ships A and B = 1425 feet

Angle of depression from ship A to the submarine =59°

Angle of depression from ship B to the submarine = 47°

As shown in the figure below:

Remaining angle will be

$180\textdegree-(47\textdegree+59\textdegree)\\\\=180\textdegree-106\textdegree\\\\=74\textdegree$

So, we will use "Sine formula ":

$\frac{\sin 74\textdegree}{1425}=\frac{\sin 59\textdegree}{B}\\\\B=\frac{1425\times \sin 59\textdegree}{\sin 74\textdegree}\\\\B=1270.68\ feet$

Similarly,

$\frac{\sin 74\textdegree}{1425}=\frac{\sin 47\textdegree}{A}\\\\A=\frac{1425\times \sin 47\textdegree}{\sin 74\textdegree}\\\\A=1084.18\ feet$

Hence, the distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

4 0

3 years ago

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Let f(x) = 5x^3 -2x and g(x) =3x^3. Find f(x) * g(x) & state the domain

Sedbober [7]

Answer:

f(x) × g(x) = 15x^6 - 6x^4

Step-by-step explanation:

hello :

f(x) = 5x^3 -2x and g(x) =3x^3.

f(x) × g(x) = 3x^3(5x^3 -2x) = 15x^6 - 6x^4

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3 years ago

What is the discriminant of the quadratic equation, 4x^2-8x-5=0

uysha [10]

Answer:

Step-by-step explanation:

4x^2-8x-5=0

The discriminant is the number under the √. In this case it's 144

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3 years ago

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