Answer:
Step-by-step explanation:
The dimensions of a rectangular prism are length, width, and depth.
Volume = length * width * depth
Here, V = 3y3 + 16y2 + 5y. If you can factor that into three terms, those could be the dimensions of the prism.
How do you factor it? Do all three terms have something in common? Sure, they all have a y, so factor a y out of each term.
V = y(3y2 + 16y + 5)
Then, factor what's left.
V = y(3y + 1)(y + 5)
The dimensions of the prism are y, (3y + 1), and (y + 5).
Answer:
y=2*0.68^x = exponential decay
Step-by-step explanation:
Answer:
369.5 ft²
Step-by-step explanation:
Separate the figure into 2 rectangles and 2 triangles.
(see attached image)
<u>Area 1</u>
Area of a rectangle = width × length
= 4 × 5
= 20 ft²
<u>Area 2</u>
Area of a rectangle = width × length
= 8 × (4 + 4 + 5)
= 8 × 13
= 104 ft²
<u>Area 3</u>
Area of a triangle = 1/2 × base × height
= 1/2 × (6 + 4 + 5 + 4 - 6) × 23
= 1/2 × 13 × 23
= 149.5 ft²
<u>Area 4</u>
Area of a triangle = 1/2 × base × height
= 1/2 × 8 × (21 + 8 - 5)
= 1/2 × 8 × 24
= 96 ft²
<u>Total Area</u>
Area 1 + Area 2 + Area 3 + Area 2 = 20 + 104 + 149.5 + 96
= 369.5 ft²
-2.4m>-6.8m.negative numbers are always are always more positive the lesws numerically they are. However 3 cannot be an answer. unless it is greater than 3.
ANSWER

EXPLANATION
The area of a sector is calculated using the formula,

The arc measure is given as 45°
The radius of the circle is 8 inches.
We substitute to obtain,

