Check the picture below.
so, hmmm notice, since i² = -1 and i⁴ = 1, whenever the exponent is only divisible by 2, the value will be -1, and whenever the exponent is divisible by 4, we end up with a +1, so every subsequent even exponent is simply cancelling the previous value, if we take that to the even value of 100, which has 50 pairs of those, we end up with, yeap, you guessed it, 0.
The region is made up of
• a right triangle with short leg 10 m and hypotenuse 26 m
• a parallelogram with sides 40 m and 26 m (the 26-m side corresponds to the aforementioned hypotenuse)
• another triangle with two known legs of length 20 m and 26 m
Find the height of the right triangle using the Pythagorean theorem. If the height is h, then
(10 m)² + h² = (26 m)² ⇒ h² = 576 m² ⇒ h = 24 m
This height is common to all three shapes.
Now find the area of each shape.
• right triangle:
1/2 × (10 m) × (24 m) = 120 m²
• parallelogram:
(40 m) × (24 m) = 960 m²
• other triangle:
• 1/2 × (20 m) × (24 m) = 240 m²
Then the total area of the shaded region is 1320 m².
Answer:
Braden is incorrect because the correct answer is B. He included the top face of the box
Step-by-step explanation:
To find surface area, just add up the areas of all of the sides of the shape. In this case, you would have one side with 144 in^2 (12 * 12) and four sides with 120 in^2 (10 * 12). Add these together and you get 624
Answer:
The volume of the replica should be 287.99 ft^3 or 288 ft^3
Step-by-step explanation:
Find decimal of 1/3 by dividing=0.33333333
Multiply 864 by 0.33333333 to set to scale=297.9999997 cubed feet
Round if needed=288 cubed feet