Answer: B.
Step-by-step explanation:
In a 45-45-90 triangle, the hypotenuse of a triangle is
times the leg. If the hypotenuse is 16, and x is the leg, then x is
, or
.
Answer:
36°, 54°, 90°
Step-by-step explanation:
The ratio of the angles is 2:3:5.
Let’s represent the angles by 2x, 3x, and 5x.
The sum of the interior angles of a triangle is 180°.
2x + 3x +5x = 180 Combine like terms.
10 x = 180 Divide each side by 10
x = 18°
The angle measures are 36°, 54°, and 90°
.
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)