65:100 because there are 65 girls and then 65 girls + 35 boys = 100 total students
Not sure of the question...1 missing vs 8 found
or 1 missing vs 9 piece puzzle
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:
To find the x-intercepts we can write:
0 = -1/2(x + 3)² + 4
0 = -1/2(x² + 6x + 9) + 4
0 = -1/2x² - 3x - 9/2 + 4
0 = -1/2x² - 3x - 1/2
0 = x² + 6x + 1
x = -3 ± 2√2 (use quadratic formula)
As a decimal this can be written as x = -5.83, x = -0.17.
Answer:
A) length = width +10
B) length * width = 144 OR
B) width = 144 /length putting B) into A)
A) length = 144 / length + 10 then solving for length
A) length^2 = 144 +10 length
A) length^2 -10 length - 144 = 0 then we factor
(length -18) * (length +8) = 0
length = 18 feet
width = 8 feet
Step-by-step explanation:
