Answer:
2144.66in³
Step-by-step explanation:
Radius = 8 inches.
To determine the amount of sphere to make the ball, we'll have to find its volume.
Volume of a sphere = 4/3 * Πr³
V = 4/3*Πr³
Π = 22/7
V = 4/3 * 22/7 * 8³
V = 2144.66inches³
V = 2144.66in³
The amount of plastic required is 2144.66in³.
Answer:
Step-by-step explanation:
<u><em>Length</em></u>
1 inch = 25 feet
7 1/4 inches = x feet
1 * x = 25 * 7 1/4
x = 25 * 7.25
Length = 181.25 feet
The length is 181.25
<em><u>hypotenuse length</u></em>
The diagonal = 10 1/2 inches
The diagonal = 10.5 inches
hypotenuse = 10.5 * 25 = 262.5 feet
<em><u>Width</u></em>
L^2 + W^2 = Diagonal^2
181.25² + W² = 262.5²
32851.5625 + W² = 68906.25 Subtract 32851.5625 from both sides
W² = 68906.25 - 32851.5625
W^2 = 36054.6875 Take the square root of both sides
W = 189.88
<u><em>Area</em></u>
Area = L * W
Area = 181.25 * 189.88
Area = 34415.88 square feet.
In triangle ACE,
we know C=93,E can be calulated by using arch angle AEC...what ever that is....,using this we get A=180-(E+93)
So, by alternate segment theorem, DCE= A.
thats all i can say.
The statements can be used to describe the original functions f(x) and g(x) are; Option B
<h3>How to interpret function graphs?</h3>
Let the functions be
f(x) = ax + b
g(x) = cx + d
Their sum is;
j(x) = (a + c)x + b + d
Their product is;
k(x) = (ax + b)(cx + d)
From the graph, we see that;
f(x) = x + 6
g(x) = -2x² + 8
f'(x) = 1
g'(x) = -4x
Read more about Function Graphs at; brainly.com/question/4025726
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Answer:
x = 0, x = 1, x = - 3
Step-by-step explanation:
To find the zeros, let f(x) = 0 , that is
(x - 1)(x(x + 1) + 2x) = 0 ← distribute and simplify parenthesis
(x - 1)(x² + x + 2x) = 0
(x - 1)(x² + 3x) = 0 ← factor out x from the second parenthesis
x(x - 1)(x + 3) = 0
Equate each factor to zero and solve for x
x = 0
x - 1 = 0 ⇒ x = 1
x + 3 = 0 ⇒ x = - 3
