Answer:
31.9 mi
Step-by-step explanation:
AC/sin(angleABC) = AB/sin(angleACB)
You can use the properties of logarithm to get to the solution.
The approximate value for given term is given by
![log_3(14) \approx 2.402](https://tex.z-dn.net/?f=log_3%2814%29%20%5Capprox%202.402)
<h3>What is logarithm and some of its useful properties?</h3>
When you raise a number with an exponent, there comes a result.
Lets say you get
![a^b = c](https://tex.z-dn.net/?f=a%5Eb%20%3D%20c)
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
![b = log_a(c)](https://tex.z-dn.net/?f=b%20%3D%20log_a%28c%29)
Some properties of logarithm are:
![log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})](https://tex.z-dn.net/?f=log_a%28b%29%20%3D%20log_a%28c%29%20%5Cimplies%20b%20%3D%20c%5C%5C%5C%5C%5Clog_a%28b%29%20%2B%20log_a%28c%29%20%3D%20log_a%28b%20%5Ctimes%20c%29%5C%5C%5C%5Clog_a%28b%29%20-%20log_a%28c%29%20%3D%20log_a%28%5Cfrac%7Bb%7D%7Bc%7D%29)
<h3>Using the above properties</h3>
![log_3(2) + log_3(7) = log_3(2 \times 7) = log_3(14)\\\\0.631 + 1.771 = log_3(14)\\\\log_3(14) = 2.402](https://tex.z-dn.net/?f=log_3%282%29%20%2B%20log_3%287%29%20%3D%20log_3%282%20%5Ctimes%207%29%20%3D%20log_3%2814%29%5C%5C%5C%5C0.631%20%2B%201.771%20%20%3D%20log_3%2814%29%5C%5C%5C%5Clog_3%2814%29%20%3D%202.402)
Thus,
The approximate value for given term is given by
![log_3(14) \approx 2.402](https://tex.z-dn.net/?f=log_3%2814%29%20%5Capprox%202.402)
Learn more about logarithm here:
brainly.com/question/20835449
It's A, none of the other tables match the points that are graphed.
Answer: y=-3/4x
Step-by-step explanation:
The slope intercept form is when you use the equation y=mx+b (m is the slope and b is the y-intercept). First, let's find the y intercept. The y intercept is what y would be if x is 0. here, you can see that this particular line passes through the origin. So, the y-intercept is zero because when x passes through zero, y is also zero. Next, let's find the slope. The formula for slope is change in y/change in x. Let's randomly choose 2 points off this line. To make this a thousand times easier for us, let's choose the points (-4, 3) and (4, -3). Now, to find the change in y, let's find the difference between the 2 y coordinates we have chosen. To do this we just need to do -3-3, which gives us -6. Now let's find the change in x. To do this we will do the same thing we did to find the change in y but this time we'll use the x coordinates. We will do 4-(-4), which simplifies to 8. Now, we're almost done. Just divide the change in y by the change in x. You will get -6/8. This can be simplified to -3/4. So now we know our slope is -3/4 and our y-intercept is 0. Let's insert them into the equation. y=-3/4x+0. We know that we can just get rid of that 0 because 0 literally means nothing. So our final answer is y=-3/4x. Hope this helps!
Answer:
The temperature at the end of the day is 2 degrees
Step-by-step explanation:
Here, we are interested in calculating the temperature at the end of the day.
In the question, we are told that at the beginning of the day, temperature was -14 degrees.
But throughout the day, the temperature increased by 16 degrees;
Thus, the temperature at the end of the day = -14 degrees + 16 degrees = 2 degrees