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4 years ago

Using the sum or difference formulas,how do we find the exact value of sin (285°)?

Mathematics

1 answer:

Semenov [28]4 years ago

6 0

See attachment for the answer:

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3 years ago

Half of the sum of a number and 6 is no less than 20

olya-2409 [2.1K]

Answer:

x < 44 both sides

Step-by-step explanation:

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3 years ago

PLEASE HELP WILL MARK BRAINLIEST!

pav-90 [236]

Answer:

1, 5, 17, 53, 161

Step-by-step explanation:

Given:

$a_1=1$

$a_n=3a_{n-1}+2$

First five terms of the sequence:

$a_1=1$

$a_2=3a_1+2=3(1)+2=5$

$a_3=3a_2+2=3(5)+2=17$

$a_4=3a_3+2=3(17)+2=53$

$a_5=3a_4+2=3(53)+2=161$

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2 years ago

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Solve the triangle A = 2 B = 9 C =8

VARVARA [1.3K]

Answer:

$\begin{gathered} A=\text{ 12}\degree \\ B=\text{ 114}\degree \\ C=54\degree \end{gathered}$

Step-by-step explanation:

To calculate the angles of the given triangle, we can use the law of cosines:

$\begin{gathered} \cos (C)=\frac{a^2+b^2-c^2}{2ab} \\ \cos (A)=\frac{b^2+c^2-a^2}{2bc} \\ \cos (B)=\frac{c^2+a^2-b^2}{2ca} \end{gathered}$

Then, given the sides a=2, b=9, and c=8.

$\begin{gathered} \cos (A)=\frac{9^2+8^2-2^2}{2\cdot9\cdot8} \\ \cos (A)=\frac{141}{144} \\ A=\cos ^{-1}(\frac{141}{144}) \\ A=11.7 \\ \text{ Rounding to the nearest degree:} \\ A=12º \end{gathered}$

For B:

$\begin{gathered} \cos (B)=\frac{8^2+2^2-9^2}{2\cdot8\cdot2} \\ \cos (B)=\frac{13}{32} \\ B=\cos ^{-1}(\frac{13}{32}) \\ B=113.9\degree \\ \text{Rounding:} \\ B=114\degree \end{gathered}$ $\begin{gathered} \cos (C)=\frac{2^2+9^2-8^2}{2\cdot2\cdot9} \\ \cos (C)=\frac{21}{36} \\ C=\cos ^{-1}(\frac{21}{36}) \\ C=54.3 \\ \text{Rounding:} \\ C=\text{ 54}\degree \end{gathered}$

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1 year ago

Please help me please i really need help please

kari74 [83]

Point Form: (1,-5)
Equation Form: x-1,y=-5

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3 years ago

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