Answer: 
Step-by-step explanation:
Since, in the triangle abc,
ab = 10√91 unit, bc = 30 unit, ca = 100 unit and m∠b = 90°
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Which is the required value of tan(∠a).
Answer:
B
Step-by-step explanation:
|-4 + 1| = |-3| = 3
|-4 - 1| = |-5| = 5
The distance is 5, so the second equation should represent the problem.
#1. 720 Nm
Work = force x distance
Work = 80N x 9m = 720 Nm
#2. 90J
Assume no energy lost in the process,
<span>Kinectic energy=(80N - 70N) x 9m
= 90J
#3. 630J
Heat energy = work - kinetic energy
Heat energy = 720J - 90J
= 630J</span>
4x + 6 < -6
subtract 6 from both sides
4x < -12
divide 4 on both sides
x < -3
The circle was 126 meters around.
Step-by-step explanation:
Step 1; It is given that the big circle was 40 feet across the center. This implies the distance from any particular point on the circle to any other point is 40 feet. This means the diameter of this given circle is 40 feet. Any given circle's radius is 0.5 times the diameter of that same circle. So we divide 40 by 2 to get the circle's radius. So the radius is 40/2=20 feet. So the radius of this given circle is 20 feet.
Step 2; To find how many feet around means we need to find perimeter and not area. Area means the region inside the circle whereas perimeter is how long the circle is i.e how long the circle around is. So the distance around this circle is 2 multiplied with pi and its radius. The distance around any given circle = 2πr.
Perimeter of this circle = 2 × 3.141592 × 20 = 125.6637 feet.
