Answer:
6.47secs
Step-by-step explanation:
Given the height of the rocket modelled by the equation;
h = – 16t^2 + 102t + 10, where ‘t' is the time in seconds
The rocket will hit the ground at h = 0
Substitute into the equation
– 16t^2 + 102t + 10 = 0
Multiply through by -1
16t^2-102t-10 = 0
t = 102±√(102)²-4(16)(-10)/2(16)
t = 102±√10404+640/32
t = 102±√11044/32
t = 102 ±105.09/32
t = 102+105.09/32
t = 207.09/32
t = 6.47secs
Hence it will take 6.47secs for the rocket to hit the ground
Answer:
Randall make $4,540 in commission selling the house
Step-by-step explanation:
we know that
Last saturday Randall sold a house for $109,000
so
1) He receives 4% on any sale up to 100,000
Multiply $100,000 by 0.04
2) He receives 6% for any amount over the $100,000
so
Multiply $9,000 by 0.06
Sum the two amounts
therefore
Randall make $4,540 in commission selling the house
Answer:
Angle θ would be about 17.1 degrees.
Step-by-step explanation:
To figure out what Angle θ is, first we have to find the hypotenuse. You can easily do that by find the square root of BC² + AC².
c = √4² + 13²
Square 4 and 13 to get 16 and 169 respectively.
c = √16 + 169
Add 16 and 169 to get 185.
c = √185
Find the square root of 185 (I'll round to the nearest tenth.)
c = 13.60147 ≈ 13.6 units
To find angle β, divide AC by AB and find the inverse sine of that.
β = arcsin(13/13.6)
Divide 13 by 13.6. Round to the nearest thousandth.
β = arcsin(0.955)
β ≈ 1.2723 rad
To convert radians to degrees, multiply the radians by 57.2957795 for an approximate amount.
β ≈ (1.2723 * 57.2957795)°
β ≈ 72.8974203 ≈ 72.9 degrees
Now subtract 72.9 from 90 to get angle θ's measure of 17.1 degrees.
X = womens, y = mens
45x + 50y = 2500....if there is no women, then x = 0
45(0) + 50y = 2500
50y = 2500
y = 2500/50
y = 50.....there would be 50 male customers to meet his expenses
Answer:
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