MATHEMATICS MIDDLE SCHOOL

Once again co sines . Please help me and include explanation with a clear answer

Answers

Answer 1

Answer:

Using the law os cosines formula b^2 = a^2 + c^2 - 2*a*c*cos(B)

a = 17, b = 8, c = 16

8^2 = 17^2 + 16^2 - 2*17*16* cos(B)

64 = 289 + 256 - 544 * cos(B)

544*cos(B) = 289 + 256 - 64

544 * cos(B) = 481

cos (B) = 481/544

B = arccos(481/544)

B = 27.8 degrees

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Round to the nearest ten and hundred 363

Answers

Nearest tenth it would be 360 because the ones digit (3) is less than 5 so we have to round down.

Nearest hundred would be 400 because the tens and ones digit (63) is closer to 400 than it is to 300. So we would have to round up.

Hope that helps :)

15x+1200=y what is the change in the total cost for each book printed? What is the cost to get started before any books are printed

Answers

The total cost before books are printed is $1200 (the constant).

The change to the total cost is the x, which is a variable, and can change depending on the amount of books printed.

hope this helps

What is the equation of a line passing through the origin with a slope of positive one?

Answers

We are going to use the equation of a line y = mx + b. In this equation, m is the slope and b is the y-intercept.

We know from the question that the slope is 1. Therefore, m = 1. So now, our line is y = 1x + b

Then, we can use a known point on the line to find b. We know that our line passes through the origin so point (0,0) is on the line.
0 = 1(0) + b
0 = 0 + b
b = 0

Therefore, the equation of the line is:
y = 1x + 0
or just y = x

y=x
The slope of this line is 1 (the numerical coefficient of x) and passes through the origin (if you put x=0 it gives you y=0).

How do you get the answer for 820 decreased by 25%

Answers

So in this one, we are DECREASING by 25%, so we say 25% of 820...

25% × 820 =
.25 × 820 = 205

Now since we are decreasing by 25%, we take our answer and subtract it from the original amount, 820.

820 - 205 = 615

820 decreased by 25% is
615.

Grace has $100. She is buying charms for her bracelet that cost $5 each. Write an equation showing the relationship between the number of charms,c, she buys and the amount of money she has left,m.