I think the rate is 6.666666667 which is 6.66
first change the 5.63 to standard form as
so now multiplying with the 10^6
applying the first law of indices
as final answer
We have been given that angle D is an acute angle such that . We are asked to find the measure of angle D using calculator.
We will use arcsin to solve for angle D.
Using calculator, we will get:
Upon rounding to nearest tenth of degree, we will get:
Therefore, the measure of angle D is approximately .
To determine the distance traveled by Henry for a certain amount of time, we need data on the rate or speed of Henry driving. From the problem statement, it is given to be 25 miles per hour. So, we simply multiply the time to the rate to give us the distance.
Distance = 25 miles / hour ( 15 minutes ( 1 hour / 60 minutes )) = 6.25 miles
First thing to do is to solve each of these for y. The first one is y=-4x-3; the second one is y=4x-21; the third one is y=4x+21; the fourth one is y=-4x+3. From that you can tell the positive slopes are found in the second and third equations. Those are the ones we will test now for the point (3, -9). y=-9 and x=3, so let's fill in accordingly. The second equation filled in is -9=4(3)-21. Does the left side equal the right when we do the math? -9=12-21 and -9=-9. So the second one works. Just for the sake of completion, let's do the same with the third: -9=4(3)+21. Does -9=12+21? Of course it doesn't. Our equation is the second one above, y+9=4(x-3).