A conical paper cup has a radius of 2 inches. Approximate, to the nearest degree, the angle β (see the figure) so that the cone will have a volume of 60 in3.β = °
Answers
The angle β (see the figure) so that the cone will have a volume of 60 in3 is 82.05 degrees
Volume of a cone
The formula for calculating the volume of a cone is expressed as:
V = 1/3πr²h
where
r is the radius
h is the height
Given the following
volume = 60
radius = 2
h = r tanβ
Substitute
V = 1/3πr²(r tanβ)
Substitute
60 = 1/3(3.14)(2)³tanβ
180 = 25.12tanβ
tanβ = 180/25.12
β = 82.05 degrees
Hence the angle β (see the figure) so that the cone will have a volume of 60 in3 is 82.05 degrees
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V volume = 60
r radius = 2
h = r tanβ
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A company manufacturing computer chips finds that 8% of all chips manufactured are defective. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate. Which of the following statement is true about this hypothesis test?a) The additional training significantly increased the defect rate.b) The additional training significantly lowered the defect rate.c) The additional training did affect the defect rate.d) The additional training did not significantly lower the defect rate.e) None of these.
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Answers
Final answer:
To calculate how much money Jose made from selling his shares, we need to know the number of shares he sold.
Explanation:
To calculate the amount of money Jose made, we need to know the number of shares he sold. Let's say he sold x number of shares. Since he sold all of his shares at $128.34 per share, the total amount of money he made can be calculated by multiplying the price per share by the number of shares: $128.34 * x = total amount made. Without knowing the number of shares, we cannot determine the exact amount Jose made.
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Answers
The area of the stop sign which is an octagon is 744 square inches.
Option C is the correct answer.
We have,
To find the area of the stop sign, we can use the formula for the area of a regular polygon:
Area = (1/2) × perimeter × apothem
The perimeter of the stop sign is 8 × 12.4 = 99.2 inches.
Using the given apothem of 15 inches, we can plug in the values and calculate:
Area = (1/2) × 99.2 × 15
Area = 744 square inches
Therefore,
The area of the stop sign is 744 square inches.
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Answer:744 square inches
Step-by-step explanation:
Just did it it correct trust me
Answers
Answer:
nothing
Step-by-step explanation:
If you are translating entire triangle, then translating doesn't influence the area. It's just going to change where the triangle is located not its size
Answers
m=21/3
friends. Each friend received 5 pieces. Letc
represent the number of pieces in a bag.
Equation:
Solve it to find how many pieces of candy were in the bag.
Type here
Show your work
Write and solve the equation
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Answers
Answer:
yes; 180° CW or CCW
Step-by-step explanation:
Each of the figures is a reflection of the other across the origin. Such a reflection is equivalent to rotation 180° about the origin. 180° CW is the same as 180° CCW, so the direction could be either one.
Comparing the images, the correct option is option d
Yes, 180 degrees clockwise or counterclockwise about the origin
What is 180 deg clockwise rotation
A 180-degree clockwise rotation means that a point, shape, or object is rotated 180 degrees in the clockwise direction around a central point. In the Cartesian coordinate system:
For a point (x, y), a 180-degree clockwise rotation swaps the x and y coordinates and negates both. So, the new coordinates would be (-x, -y).
The resultant image is the same the difference is the way it rotates hence we choose option d
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