Answer:
The value for x is 40.
Step-by-step explanation:
So you know that the line that cuts through the right angle has one part of 10 degrees, and the other 2x degrees. A right angle is equal to 90 degrees, so the two parts, 2x and 10, have to equal 90. So the equation would look like this: 2x+10=90. Solve for x by subtracting 10 from both sides, resulting in 2x=80. Then divide both sides by 2, and get your answer of x=40.
I don't think so.........
The antecedent for both the possessive adjective 'their' and the objective personal pronoun 'them' is children<span>.</span>
Answer:
Step-by-step explanation:
Simplified becomes;
Simplifying further gives;
Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
