9514 1404 393
Answer:
(b) 458 ft²
Step-by-step explanation:
The total area is the sum of the L-shaped front and back areas and the areas of the 6 rectangular faces.
The front L-shaped area can be considered to be a 12 ft × 12 ft square with a 5 ft × 7 ft rectangle cut from the upper left corner. Its area is then ...
(12 ft)(12 ft) -(5 ft)(7 ft) = (144 -35) ft² = 109 ft² . . . . front area
__
The sum of the areas of the rectangular faces is the product of the width of the figure (5 ft) and the perimeter of the L-shaped face. That perimeter is the sum of the edge lengths. Starting from the lower-left corner and working clockwise, we find the perimeter to be ...
7 ft + 7 ft + 5 ft + 5 ft + 12 ft + 12 ft = 48 ft
Then the sum of rectangular face areas is ...
(48 ft)(5 ft) = 240 ft² . . . . rectangular face area
The total surface area is then ...
2×front area + rectangular face area
= 2×109 ft² +240 ft² = 458 ft² . . . . total surface area
I believe it would be true because you can have the first set then when you have your second set it just have to be slanted for them to all be acute & obtuse angles
Because tan theta > 0 and cos theta is negative this angle is in the third quadrant.
angle whose cos is 2/5 is 66.42 degrees
The required angle is 180 + 66.42 = 246.42 degrees answer.
Answer:
Part c) 
Part d) 
or 
Step-by-step explanation:
Part c) Find the volume of the inverted rectangular pyramid
The volume of the rectangular pyramid is equal to
where
B is the area of the rectangular base
h is the height of pyramid
<em>Find the area of the base B</em>
substitute
Part d) Find the maximum volume of tea in the tea cup
we know that
The volume of cylinder (tea cup) is equal to
we have
substitute
-----> exact value
<em>Find the approximate value</em>
assume
