Answer:
-5/8h + 7
Step-by-step explanation:
First you need to combine like terms (1/8h and -3/4h)
So 1/8h - 3/4h is -5/8h
Then we have our 7 left over
So the answer is -5/8h + 7
Translations of geometric figures in the coordinate plane can be determined by translating the x- and y-coordinates of points. Horizontal and vertical translations are the easiest. ... Solution: A horizontal translation just changes the x-coordinates of all points, so the rule is (x, y) à (x + 3, y).
<span>The two fires are about 70 feet from each other.
The assumption is that the ground is relatively level and that a right triangle will be made with the three points of the triangle being the ranger, the spot on the ground directly beneath the ranger, and the fire itself. So the distance to the first fire will be:
Calculate the angle. That will be 90° - 11.6° = 78.4°
The distance will be
tan(78.4) = X/60
60 tan(78.4) = X
60 * 4.871620136 = X
292.2972082 = X
And that's how far the 1st fire is from the ranger's station. Now for the 2nd
angle = 90° - 9.4° = 80.6°
60 tan(80.6) = X
60 * 6.040510327 = X
362.4306196 = X
And the distance between the two fires will be the difference in distance from the tower, so
362.4306196 - 292.2972082 = 70.13341146
Rounding to 2 significant figures gives 70 feet.</span>
<u>Given</u>:
Juan has been saving for a new bike for two months. So far, he has saved $150 for the bike.
The money that he has saved so far is 30% of the cost of the bike.
We need to determine the total cost of the bike.
<u>Total cost of the bike:</u>
Let x denote the total cost of the bike.
The total cost of the bike is given by
The value of 30% can be written as
Thus, we get;
Multiplying both sides by , we have;
Simplifying, we have;
Thus, the value of x is 500.
Hence, the total cost of the bike is $500.