Answer:
31 degrees (the first one)
Step-by-step explanation:
90 degree angle,
90-59=31
Answer:
x = 6.0
Step-by-step explanation:
Given:
Line AB is the hypotenuse
50.1 degrees is an angle
90 degrees is a right angle
Line CB is x and is opposite to the 50.1 degree angle
Line AC is 5 and is adjacent to the 50.1 degree angle
We know we have angles of 50.1 degrees and 90 degrees
We could find the third angle by doing 180 = 50.1 + 90 + a; a = 39.9 degrees
Sin(angle) = Opp/Hyp, Cosine(angle) = Adj/Hyp, Tan(angle) = Opp/Adj
We know the adjacent length, degree of angle, and are looking for the opposite side; therefore, we can use tan(angle) = opp/adj
tan(50.1) = x/5
x = 5.9979
or
tan(angle) = opp/adj
tan(39.9) = 5/x
x = 5.9979
Round to the nearest tenth:
x = 6.0
Answer:
120 cm³
Step-by-step explanation:
6 cm·4 cm·5 cm=120 cm³
H(t)=-16t^2+25t
The maximum height occurs at the vertex of the quadratic.
The vertex of a quadratic is always at:
(x,y)=(-b/(2a), (4ac-b^2)/(4a))
So the maximum height is:
(4ac-b^2)/(4a), and in our equation a=-16, b=25, and c=0 so
hmax=(0-25^2)/(-64)
hmax=-625/-64
hmax=9.765625
hmax≈9.8 ft (to nearest tenth of a foot)
