<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>
X= # students who got lower grades
2x+3= # students with grade A
STEP 1:
Add the two sets above equal to 24.
x + (2x + 3)= 24
combine like terms
3x + 3= 24
subtract 3 from both sides
3x= 21
divide both sides by 3
x= 7 (# students lower than A)
STEP 2:
substitute x value from step 1 to find # grade A students
=2x + 3
=2(7) + 3
=14 + 3
=17 (# grade A students)
CHECK:
x + (2x + 3)= 24
7 + 2(7) + 3= 24
7 + 14 + 3= 24
24= 24
ANSWER: There were 17 students with grade A.
Hope this helps! :)
Answer:
Step-by-step explanation:
Population= 280000 people
Population growth rate= 8.5%
Population growth in a year=
{(100+8.5)÷100} × 280000 =303800 people
Pop growth in 8 years =
303800×8=
2,430,400 people
Answer:
<h2>$2479.5</h2>
Step-by-step explanation:
In this problem we will estimate her monthly earnings
given that she earns $13.05 per hour
and also given that she works for 190 hours in a month
then in a month, her earnings will be
=$13.05*190
=$2479.5
alternatively,
per week she works 47.5hours
in a week she will earn 13.05*47.7= $622.485
4 weeks make a month
then after one month her earning will be
$622.485*4= $2479.5
