The answer would be -9 + -4
<h2>
The Pythagorean Theorem</h2>
The Pythagorean Theorem: 
- <em>a</em> and <em>b</em> are the two legs in a right triangle
- <em>c</em> is the hypotenuse (the longest side of a right triangle; opposite the 90° angle
- <em>*keep in mind that this theorem applies only to right triangles</em>
<h2>Solving the Question</h2>
We're given:
- Legs = 9 units and 12 units
- Hypotenuse = <em>c</em>
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Plug these measurements into the Pythagorean theorem:
⇒ Combine like terms:
<h2>Answer</h2>
the local maximum is at x = -2.2 and has a value of 72.576
Answer:
7, 9, 17
Step-by-step explanation:
The sum of the two smallest numbers has to form a number larger that the largest number, and 7 + 9 = 16 which is less than 17.
Answer:
(294π +448) cm³ ≈ 1371.6 cm³
Step-by-step explanation:
The half-cylinder at the right end has a radius of 7 cm, as does the one on top. Together, the total length of these half-cylinders is 8 cm + 4cm = 12 cm. That is equivalent in volume to a whole cylinder of radius 7 cm that is 6 cm long.
The cylinder volume is ...
V = πr²h = π(7 cm)²(6 cm) = 294π cm³
__
The cuboid underlying the top half-cylinder has dimensions 4 cm by 8 cm by 14 cm (twice the radius). So, its volume is ...
V = LWH = (4 cm)(8 cm)(14 cm) = 448 cm³
Then the total volume of the composite figure is ...
(294π +448) cm³ ≈ 1371.6 cm³
