Answer:
1a. Yes
1b. No
1c. Yes
Step-by-step explanation:
He is 2√19 miles far way from starting point.
Suppose Billy starts at point A, turns at point B, and ends at point D, as shown below.
If Billy turns 60◦ northward and walks six miles, then we can draw a 30 − 60 − 90 triangle whose hypotenuse is 6 miles
It follows that Billy traveled 6/2 = 3 miles eastward during these 6 miles, and that he traveled 3√3 miles northward during these 6 miles. In total, Billy traveled 4 + 3 = 7 miles eastward and 3√ 3 miles northward.
By the Pythagorean Theorem, the distance from his starting point is q:
(7)2 + (3√3)2
=√49 + 27
= √76
= 2√19 .
Learn more about Pythagorean Theorem on:
brainly.com/question/20545047
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Answer:
There are no solutions.
Step-by-step explanation:
Let's solve your inequality step-by-step.
−7(3x−7)+21x≥50
Answer:
C = 16π ft
Step-by-step explanation:
If we know the area
A = pi r^2
64 pi = pi r^2
Divide each side by pi
64 = r^2
Take the square root of each side
8 = r
The radius is 8
Now we can find the circumference
C = 2 *pi*r
C = 2*pi*8
C = 16pi
Answer:
y= -1/5x + 1/5
Step-by-step explanation:
y- y1 = m(x - x1)
Slope m=-1/5
(1, -4)
1 = y1
-4 = x1
y- 1 = -1/5(x-(-4))
y-1 = -1/5(x+4)
y-1= -1/5(x)+ -1/5(4)
y-1 = -1/5x + -4/5
add one to both sides
y= -1/5x + -4/5 + 1
y = -1/5x + 1/5
