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9966 [12]
3 years ago
10

(-6 – 0, y +4) HHHEEEEELLLPPP!!!!! need for tonight!!!

Mathematics
1 answer:
elena55 [62]3 years ago
6 0
Do you need it solved or graphed?

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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}

3 0
1 year ago
2. The sum of two numbers is 30. Determine the two numbers if their product is a maximum.
SCORPION-xisa [38]

Answer:

X+y=30

X=30-y

Z=yx

Z=y(30-y)

D/dy

z=30–2y

At max 30–2y=0

2y=30 Y=15

Therefore x=15

Step-by-step explanation:

5 0
3 years ago
I will give brainliest 35 points The following graph represents the correlation between shoe size and height for 70 people.
Svetllana [295]

Answer:

Positive

Step-by-step explanation:

As height is increasing, shoe size is also increasing (positive slope)

Negative correlation is when one variable increases and the other decreases (negative slope)

5 0
3 years ago
Read 2 more answers
Tri scored a total of 31 points in the basketball game, and he scored p points in the second half of the game. Write an expressi
kirill115 [55]

Answer:

If he scored x points in the first half, then x + p = 31

7 0
2 years ago
Read 2 more answers
3
gregori [183]
Far left and far right.
Have a gud day!
7 0
2 years ago
Read 2 more answers
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