The given triangle is a right angled triangle,
so let's apply trigonometry here :
Now,
_____________________________
Resolving horizontally . Make forces to the right positive
resultant force = 70cos30-60cos60 = 60.62-60 = 0.62 lbs
resolve vertically
resultant force = 120 sin60 - 70 sin30 = 103.92 - 35 = 68.92 lbs in downward direction
magnitude of the ressultant forsse = sqrt(68.92^2 + 0.62^2) = 68.92 lbs
direction of the force = tan-1 (0.62 / 68.82) = 0.52 degrees east of south or
a bearing of
90 - 0.52 = 89.48 degrees
From the relationship between the distance and time, the rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
<h3>What is a
linear equation?</h3>
A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the initial value of y.
Let y represent the distance travelled by the bike after x minutes.
From the table:
Rate of change = (4480 - 1120) / (4 - 1) = 1120 ft/min
The rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
Find out more on linear equation at: brainly.com/question/14323743
Answer:
Step-by-step explanation:
hello :
5(x + 7)² = 245
(x + 7)² = 49
x=0 is solution but you have other solution -14 because :(-14+7)² = (-7)² =49
here is an solution Step-by-step :
(x + 7)² = 49 means : (x + 7)² = 7²
(x + 7)² - 7²=0 use identity : a²-b² = (a-b)(a+b)
a=x+7 and b= 7
(x+7-7)(x+7+7) = 0
x(x+14)=0
x=0 or x+14=0
so : x=0 or x= -14
