What is the length of a straight line between the school and the fire station? Round to the nearest tenth.
Part B
The hospital is 3.1 miles west of the fire station. What is the length of a straight line between the school and the hospital? Round to the nearest tenth.
Answer:
a. The length of a straight line between the school and the fire station is 4.6 miles
b. The length of a straight line between the school and the hospital is 2.1 miles
Step-by-step explanation:
See attachment
Given.
Distance between the school and the town hall = 4.3 miles directly east
Distance between the fire station and the town hall = 1.7 miles directly north.
The length of a straight line between the school and the fire station is calculated by solving the length of hypotenuse of the right angled triangle (see attachment A)
Using Pythagoras theorem;
x² = 1.7² + 4.3²
x² = 2.89 + 18.49
x² = 21.38 --- Take square roots
x = 4.6 miles
The length of a straight line between the school and the fire station is 4.6 miles
b.
The length of a straight line between the school and the hospital is calculated by solving the length of hypotenuse of the right angled triangle (see attachment B)
Using Pythagoras theorem;
x² = 1.7² + 1.2²
x² = 2.89 + 1.44
x² = 4.33 --- Take square roots
x = 2.1 miles
The length of a straight line between the school and the hospital is 2.1 miles
3(x)+10= 2x3+2x6
°°° Let's see -
Solve for x - BUT, before we do that, I want to look at the right side of the equal sign: I believe the 'x' on the right side '2 x 3 + 2 x 6' is actually a multiplication sign, so we'll replace that with a proper x so that we don't get confused.
°°° Rewrite the equation -
3 (x) + 10 = 2 × 3 + 2 × 6
°°° Simplify both sides of the equation -
3x + 10 = (2) (3) + (2) (6)
°°° Simplify again (Yes, again) -
3x + 10 = 6 + 12
3x + 10 = (6 + 12) (Combine Like Terms)
3x + 10 = 18
°°° Subtract 10 from both sides -
3x + 10 - 10 = 18 - 10
3x = 8
°°° Divide both sides by 3 -
3x / 3 = 8 / 3
x = 8 / 3
°°°FINAL ANSWER°°° -
x = 8 / 3
↑ ↑ ↑ Hope this helps! :D
b.1/2
c.-1/2
d.-5/6
plz only abitious and up