Answer:
93.7 miles
Step-by-step explanation:
This problem can be represented as a right angled triangle. The distance between the final point and the starting point is the hypotenuse.
We need to find the hypotenuse. We can use Pythagoras rule:
where opp = opposite side to the angle considered
adj = adjacent side to the angle considered
This implies that:
The car is 93.7 miles far from its starting point.
4x + 4° + 4x - 32° = 180°
8x - 28° = 180°
8x = 180° + 28°
8x = 208°
x = 26°
Answer:
Use the slope formula (y2-y1)÷(x2-x1)
Step-by-step explanation:
(-5-(-3))÷2-3
= (-2.5,-1)
Answer:
D. 150 feet
Step-by-step explanation:
The formula for the area of a rectangle is: area = lw, where l = length and w = width. In this case, the length is defined as '90 feet more than twice the width' or l = 2w + 90. If we put this expression in for the value of 'l' in our formula for area we get:
area = w(2w +90), distribute: area = 2w² + 90w = 58500
Subtracting 58500 from both sides, we get the following polynomial:
2w² + 90w - 58500
We can divide all the terms by '2' to simplify:
w² + 45w - 29250
Next, we look for the two factors of 29,250 that will add up to 45, which is -150 and +190 to factor our polynomial:
(w - 150)(w + 190) = 0
Setting both equations equal to 0 and solving for w:
w - 150 = 0 or w = 150
w + 190 = 0 or w = -190
Since our with can not be negative, then the correct width of the field is 150 ft.
Answer:
8.9
Step-by-step explanation:
