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2 years ago

Need more math help please

Mathematics

1 answer:

Lapatulllka [165]2 years ago

4 0

The answer for this problem is D

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If A+B+C=<img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt="\pi" align="absmiddle" class="latex-formula"

seraphim [82]

Answer:

$a + b + c = \pi \\ = > c= \pi - a - b \\ < = > \tan(c) = \tan(\pi - a - b) = -\tan(a + b)$

Step-by-step explanation:

we have:

$\tan(a) + \tan(b) + \tan(c) \\ = \tan(a) + \tan(b) - \tan(a + b) \\ = \tan( a) + \tan(b) - \frac{ \tan(a) + \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{ ( \tan(a) + \tan(b) ) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (1)$

we also have:

$\tan(a) \tan(b) \tan(c) \\ = - \tan(a) \tan(b) \tan(a + b) \\ = \frac{ -(\tan( a ) + \tan(b) ) \tan(a) \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{( \tan(a) + \tan(b)) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (2)$

from (1)(2) => proven

5 0

2 years ago

Which of the following lines is perpendicular to the line Y = 3x -4

andriy [413]

Answer:

Step-by-step explanation:

When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be $\frac{1}{3}$ , and $\frac{5}{1}$ would be -5. The equation is written in slope-intercept form:

$y=mx+b$

m is the slope, so find the equation with the opposite reciprocal of 3, $-\frac{1}{3}$ :

$y=-\frac{1}{3} x+4$ is the only option with the correct slope, so the answer is D.

6 0

2 years ago

The temperature at 2 a.m. was -10°C.

horsena [70]

Answer:

-1

Step-by-step explanation:

8 0

2 years ago

Maple street is 3 times as long as pine street. how long is pine street?

bezimeni [28]

Divide maple street’s length by 3

5 0

2 years ago

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Convert a speed of 651 mi/hr to units of feet per minute. also show the unit analysis by dragging components into the unit-facto

ladessa [460]

We know that 60 minutes = 1 hour and 1 mile = 5280 feet. We just need to multiply and simplify:

651 miles/hour = 651 *5280/60 feet/minutes = 651*88 feet/minutes = 57288 feet/minutes

4 0

2 years ago

Read 2 more answers