Start by solving inside the parentheses. According to PEMDAS you will divide 10 and 2 first. Divide 10 by 2 and you will have: 8 + (5)(4) - (6 + 5) + 44.
Now finish solving inside the parentheses and add 6 and 5.
8 + (5)(4) - (11) + 44, multiply 5 and 4.
8 + 20 - 11 + 44, then solve from left to right.
61 is the answer.
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
Answer:
Step-by-step explanation:
Given
Required
Solve for t
Add 4 to both sides
Multiply both sides by -5
Answer: B
Step-by-step explanation:
About 3, because there are 5280 feet in a mile, so 2 miles would be 10560, and 3 would be 15840, and that is the closest you will get, because the 4th miles would be 21120.
