For the seagull to catch the crab, h(t)=g(t) so:
-16t^2+45=-13t+23 add 16t^2 to both sides
45=16t^2-13t+23 subtract 45 from both sides
16t^2-13t-22=0 using the quadratic equation:
t=(13±√1577)/32, since t>0
t=(13+√1577)/32 seconds
t≈1.65 seconds (to nearest hundredth of a second)
And the height that this occurs using either original equation is:
h((13+√1577)/32)≈1.59 ft (to nearest hundredth of a foot)
2/6 = 1/3
2/5 = 4/10
Hope this helps.
Observe the given figure.
Here, angle T and R are the inscribed angles.
And sum of inscribed angles is half of measure of intercepted arcs.
Since, the measure of intercepted arcs is 360 degrees.
Therefore, 
Hence, the sum of the two angles is 180 degrees.
Therefore, these are the supplementary angles.
Therefore, angle T and angle R are supplementary angles.
Hence, proved.
Answer:
V=3926.99 liters
Step-by-step explanation:
cylindrical Is half full of oil The cylinder Has a base radius of 100 cm The height of the cylinder 250cm 1 litres = 1000cm3 How many litres of oil are in the tank?
Volume of a cylinder can be calculated using below formula
V=π r^2 h
Where r= radius
h= height
radius = 100 cm
h=250cm
But the cylinder is half filled, then the formula becomes
V=(π r^2 h) × 1/2
Then substitute the values we have
V=( π × 100^2 ×250) × 1/2
V=3926990 cm^3
But 1 litres = 1000cm3
Then V=(3926990 cm^3)/ 1000
V=3926.99 liters
Well, it depends on the window.
