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Sergeeva-Olga [200]
3 years ago
10

Solve for x: tan(2x - 65)° = cot(3x + 15)

Mathematics
1 answer:
love history [14]3 years ago
3 0

Answer:

x = 28

Step-by-step explanation:

\tan(2x - 65) \degree = \cot(3x  + 15)  \degree \\  \\ \tan(2x - 65)\degree = \tan \{90 \degree - (3x  + 15)\degree  \} \\  \\ (2x - 65)\degree = \{90 \degree - (3x  + 15)\degree  \} \\  \\  (2x - 65)\degree +  (3x  + 15)\degree  = 90 \degree \\  \\  (2x - 65 + 3x + 15)\degree  = 90 \degree  \\  \\ 5x  - 50 = 90 \\  \\ 5x = 90 + 50 \\  \\ 5x = 140 \\  \\ x =  \frac{140}{5}  \\  \\ x = 28

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Thomas creates the table shown to represent the function ƒ(x) = x2 + 3x - 10. determine the zeros of the equation.
Eddi Din [679]
Answer: A

Explanation: The zeroes of f(x) are the value/s of x such that f(x) = 0. So, we need to find the values of x in the equation f(x) = 0.

Note that

f(x) = 0
⇔ x² + 3x - 10 = 0

By factoring into binomials, x² + 3x - 10 = (x + 5)(x - 2). Thus, 

x² + 3x - 10 = 0
⇔ (x + 5)(x - 2) = 0
⇔ x + 5 = 0 or x - 2 = 0
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Hence, the zeroes of x are  -5 and 2. 
4 0
4 years ago
Need answers ASAP
a_sh-v [17]
We know, Volume of a Sphere = 4/3 πr³
v = 4/3 * 3.14 * 18³
v = 4.186 * 5832
v = 24,416.64 cm³

Volume of a Sphere = 4/3 πr³
v = 4/3 * 3.14 * 12³
v = 4.186 * 1728
v = 7234.56 cm³

Difference = 24,416.64 - 7234.56 = 17182.08

In short, Your Answer would be: 17182.08 cm³

Hope this helps!
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3 years ago
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4 years ago
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arsen [322]

Answer:

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Step-by-step explanation:

Slope = \frac{change  in  y }{change  in  x }

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2 years ago
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