Answer:
0.015 radians per second.
Step-by-step explanation:
They tell us that at the moment the speed would be 6 ft / s, that is, dx / dt = 6 and those who ask us is dθ / dt.
Which we can calculate in the following way:
θ = arc sin 100/200 = pi / 6
Then we have the following equation of the attached image:
x / 100 = cot θ
we derive and we are left:
(1/100) * dx / dt = - (csc ^ 2) * θ * dθ / dt
dθ / dt = 0.01 * dx / dt / (- csc ^ 2 θ)
dθ / dt = 0.01 * 6 / (- csc ^ 2 pi / 6)
dθ / dt = 0.06 / (-2) ^ 2
dθ / dt = -0.015
So there is a decreasing at 0.015 radians per second.
Answer: 25
Step-by-step explanation:
Both lines are being cut by the same transversal so to solve for x, make both equations equal to each other
2x+10 = 3x-15
To isolate x, do the inverse operations (for any side chosen)
Do the inverse operations to move -15 and isolate 3x
Add 15 to 10 (10+15=25)
You now have 2x+25=3x
Now, do the same to combine the x values together
25=3x-2x
You now have 25=1x
Divide by 1 on both sides
25=x
Answer:
c) HH E)AA
Step-by-step explanation:
Two right angles can be proved congruent by LA,LL,HA,HL properties.
HH and AA are not congruence property.
Two triangles can be proved similar by AA property. All congruent triangles are similar but all similar triangles are not similar.Hence right triangles can not be proved congruent by AA property.
Among the options given Option C and E are not congruence property.
A line segment in geometry is the part of a line which is bounded by two distinct end points.
<h3>What is line segment?</h3>
Your information is incomplete. Therefore, an overview will be given. A line segment simply means a part of a line that has two endpoints.
A line segment contains end points and the points if the line that's between them. A segment is typically named by two endpoints like AB.
Learn more about line segments on:
brainly.com/question/2437195
Answer:
8,500
Step-by-step explanation:
if a number has 4 or less, round lower.
if a number has 5 or more, round up.
