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Scorpion4ik [409]
2 years ago
12

Find measure of angle b

Mathematics
1 answer:
bogdanovich [222]2 years ago
4 0

Answer:

22°

Step-by-step explanation:

cos B = (c2 + a2 − b2)/2ca

cos B = (10^{2} + 6^{2} - 5^{2})/ 2(10)(6)

cos B = .925

cos^{-1} B = 22.33

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Samuel wants to use his earnings from Monday and Tuesday to buy some batteries
IrinaK [193]

Answer: There are 2 batteries which he can buy with his earnings .

Step-by-step explanation:

Since we have given that

Selling price of cans at the recycling center = $0.40 per pound

Number of pounds of cans he sold on Monday = 16.2

Number of pounds of cans he sold on Tuesday = 11.8

Total earning of Samuel is given by

(16.2+11.8)\times 0.40=\$11.2

Now, cost of battery =$5.60

So, number of batteries he can buy is given by

\frac{\text{ Total earnings}}{\text{ Cost of each battery}}\\\\=\frac{11.2}{5.6}\\\\=2

So, there are 2 batteries which he can buy with his earnings .

4 0
2 years ago
Read 2 more answers
Help someone please!
kiruha [24]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
plzz help with this one last problem ill give you the brainless answer if you give me the answer for sure and I promise I won't
castortr0y [4]
Four ratios: 
light to dark: 4:12
dark to light: 12:4
black to white: 2:4
white to gray: 4:10
gray to white: 10:4
 any of those work.
3 0
3 years ago
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5.3.4 Journal: Two-Variable Systems Elimination <br><br> I need urgent help
max2010maxim [7]

Answer:

1) X stands for individual acts and y,  group acts. 2) Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). 3) S=\left \{ 5,10 \right \}

Step-by-step explanation:

Completing with what was found:

<em> 1) Here is a summary of the scenario your classmate presented for the talent show:Main show The main show will last two hours and will include twelve individual acts and six group acts.Final show The final show will last 30 minutes and will include the top four individual acts and the top group act.The equations he came up with are: 12x+ 6y= 120, 4x+ y= 30</em>

1. What do x and y represent in this situation?

X stands for individual acts and y,  group acts.

Besides that, In the system of equation, they represent the time for x, and the time for y.

2. Do you agree that your classmate set up the equations correctly? Explain why or why not.

Yes, that's right. Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). Either for 120 minutes or 30 minutes length. And their sum totalizing the whole period.

3. Solving the system by Elimination

\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\:*(-3)\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ -12x+ -3y= -90\end{matrix}\right.\\3y=30\Rightarrow y=10\\4x+(10)=30\Rightarrow 4x=20\Rightarrow x=5\\S=\left \{ 5,10 \right \}

8 0
3 years ago
Simplify each expression
joja [24]

Answer:

14y

8x

10x

8x+4

6x+6

8x+4

8 0
3 years ago
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