Answer:
Step-by-step explanation:
Cone
Givens
r = 1.5 inches
h = 4 inches
Formula
V = 1/3 pi r^2 h
V = 1/3 3.14 * 1.5^2 * 4
V = 1/3* 3.14 * 2.25 * 4
V = 9.42
Semi sphere
Givens
r = 1.5
Formula
V = 2/3 * pi * r^3
Solution
V = 2/3 * 3.14 * 1.^3
V = 7.065
Total
V = 9.42 + 7.065
V = 16.485
Rounded to the nearest 1/100
V = 16.49
Answer
First left column = 0
Next left column= 1
Tens column 6
Then the decimal .
Next column 4 (Tens column)
Hundredths 9
The question is incomplete. Here is the complete question.
Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -
x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.
Answer: L = 1; W = 9/4; A = 2.25;
Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:
A = x.y
A = x(-
)
A = -
To maximize, we have to differentiate the equation:
= 
(-)
= -3x + 3
The critical point is:
= 0
-3x + 3 = 0
x = 1
Substituing:
y = -x + 3
y = -.1 + 3
y = 9/4
So, the measurements are x = L = 1 and y = W = 9/4
The maximum area is:
A = 1 . 9/4
A = 9/4
A = 2.25
Answer: choice B
Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean
For answer choice A:
(root 2)^2 + (root 3)^2 = (root 4)^2
2 + 3 = 4
5 = 4
5 does not equal 4. Therefore it cannot be A.
For answer choice B:
(root 8)^2 + (3)^2 = (root 17)^2
8 + 9 = 17
17 = 17
this is true! therefore this is a right triangle and it’s B
Answer:
Vc = (π/3)✓17 ≈ 4.12 ft³
Step-by-step explanation:
h = ✓(4²+1²)
h = ✓17
V = πr²h/3
V = π(1)²✓17/3
V = (π/3)✓17 ≈ 4.12
90° angle
90° - existing 42°
the missing angle is 48°
