8 x .50 = $4.00
Therefore the answer will be .50
In order to find the maximum of the function, we have to find the roots of the first derivative.

This gives us the time at which the ball reaches its maximum height.
We don't know s. We can find it because we know that at t=0 the ball is on the ground and its height has to be zero.

Finally, we can find the maximum height:

The answer is
C.
Answer:
a) m∠BPD = 120°
b) m∠BC + m∠AD = 120°
Step-by-step explanation:
a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:
The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.
The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2
The larger exterior arc (m∠BD) = 170°
The small exterior arc (m∠CA) = 70°
m∠BPD = m∠BD + m∠CA/2
m∠BPD = 170° + 70°/2
= 240°/2
= 120°
b) We are to find m∠BC + m∠AD
The sum of exterior angles in a circle = 360°
360° = m∠BD + m∠CA + m∠BC + m∠AD
360° = 170° + 70° + m∠BC + m∠AD
360° = 240 + m∠BC + m∠AD
360 - 240° = m∠BC + m∠AD
Thererefore,
m∠BC + m∠AD = 120°
500 x 12 would be... 6,000 so the answer would be 6,000. If it’s not correct I’m really sorry.
Answer:
TAS = 43.99 m²
Step-by-step explanation:
- TSA = total surface area
- Area of a trapezoid = (1/2)(a + b)h
(where a and b are the parallel sides and h is the height) - Area of a rectangle = width x length
This prism is made up of 4 rectangles and 2 congruent trapezoids.
Area of trapezoid = (1/2) x (1.4 + 2.3) x 1.9 = 3.515 m²
⇒ area of 2 trapezoids = 3.515 x 2 = 7.03 m²
Area of base rectangle = 2.3 x 4.8 = 11.04 m²
Area of top rectangle = 1.4 x 4.8 = 6.72 m²
Area of back rectangle = 1.9 x 4.8 = 9.12 m²
Area of sloped rectangle = 2.1 x 4.8 = 10.08 m²
Total surface area = 7.03 + 11.04 + 6.72 + 9.12 + 10.08 = 43.99 m²