Answer:
a = 49°
Step-by-step explanation:
OB = OC ( both radii of the circle ), thus
Δ BOC is isosceles and the base angles are congruent, that is
∠ OBC = ∠ OCB = 41° , so
∠ BOC = 180° - (2 × 41)° = 180° - 82° = 98°
The angle on the circumference BAC is half the angle at the centre for angles subtended on the same arc , thus
a = 0.5 × 98° = 49°
Lets compare both equations so we can explain the reason for it, and see it clearly:
<span>y1 = 5x + 1
</span><span>y2 = 4x + 2
y1 > y2
</span>5x + 1 > 4x + <span>2
</span>To see why that happens we need to solve for x:
5x - 4x > 2 - 1
x > 1
Therefore, the first equation is greater than the second for values of x > 1
The answer is most likely 9.836
(42/5)*(25/7)=1050/35 or 30
Answer:
11.8 % empty
Step-by-step explanation:
volume of cylinder : pi × r² × h
attention ! the question gives us diameter, so for radius we need to cut them in half.
Va = pi × (14/2)² × 9 = pi×49×9 = 1385.44236... ft³
Vb = pi × (10/2)² × 20 = pi×25×20 = 1570.79633... ft³
after filling B with everything in A there is still some empty volume in B
Vb empty = Vb - Va = 185.35397... ft³
so,
100% Vb = 1570.79633... ft³
1% Vb = 15.7079633... ft³
so, how often does 1% of the total volume of B fit into the remaining empty volume of B ?
185.35397... / 15.7079633... = 11.8%
