Answers
The volume of the oblique cone in this problem is given as follows:
D. 100.5 in³.
How to obtain the volume?The volume of a cone of radius r and height h is given by the equation presented as follows:
V = πr²h/3.
Applying the Pythagorean Theorem, the diameter of the cone is obtained as follows:
d² + 6² = 10²
d² = 100 - 36
d² = 64
d = 8.
The radius is half the diameter, hence it's measure is given as follows:
r = 4 in.
The height of the cone is given as follows:
h = 6 in.
Hence the volume is given as follows:
V = π x 4² x 8/3
V = 100.5 in³ (rounded down).
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Related Questions
please help ASAP will mark brainlyest
Answers
Answer:
explanation provided in the picture
Step-by-step explanation:
the answer is x= 55°
hopefully this helps ! :)
PLEASE I NEED HELP the question is,
In the diagram of triangle LAC and triangle DNC below, LA = DN, CA = CN, and DAC is perpendicular to LCN.
a) Prove that triangle LAC = triangle DNC.
b) Describe a sequence of rigid motions that will map triangle LAC onto triangle DNC.
Answers
Answer:
1244 DCD
Step-by-step explanation:
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answers
Answer: (A) independent or (D) not mutually excusive
Step-by-step explanation: Just think about it, what card you draw from a deck doesn't depend on anything. Not mutually exculisve means the same as indendent.
Given cosθ = 2/5 and angle θ is in Quadrant IV, what is the exact value of sinθ in simplest form? Simplify all radicals if needed.
Answers
The exact value of sinθ in simplest form, with cosθ = 2/5 and θ in Quadrant IV, is -√21/5.
To find the exact value of sinθ, we can use the Pythagorean identity: sin²θ + cos²θ = 1. Since we know the value of cosθ, we can substitute it into the equation and solve for sinθ.
Given that cosθ = 2/5 and θ is in Quadrant IV, we know that the cosine is positive in Quadrant IV, and the sine is negative. Let's proceed with the calculations:
sin²θ + cos²θ = 1
sin²θ + (2/5)² = 1 (Substituting cosθ = 2/5)
sin²θ + 4/25 = 1 (Simplifying)
sin²θ = 1 - 4/25 (Subtracting 4/25 from both sides)
sin²θ = 21/25 (Simplifying)
Taking the square root of both sides, considering that sinθ is negative in Quadrant IV:
sinθ = -√(21/25)
Since we want to express the answer in simplest form, we can simplify the radical:
sinθ = -√21/√25
The square root of 25 is 5, so we can simplify further:
sinθ = -√21/5
Therefore, the exact value of sinθ in simplest form, given that cosθ = 2/5 and θ is in Quadrant IV, is -√21/5.
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A biased dice was rolled and the scores recorded in the table below estimate the probability that on the next roll the score will be 4 if the dice is rolled 400 times how many 2s would you expect to get?
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To estimate the probability of rolling a score of 4 on the next roll based on the recorded data, we need to examine the frequency of rolling a score of 4 and calculate the expected number of 2s in 400 rolls.
Unfortunately, the provided information does not include the table or any specific data regarding the frequency of rolling a score of 4. Without this information, we cannot estimate the probability accurately or calculate the expected number of 2s.
To determine the expected number of 2s in 400 rolls, we would need to know the probability distribution of rolling a 2 with the biased dice. This information is crucial to make a reasonable estimate.
Without further details, it is not possible to provide a specific answer to how many 2s you would expect to get in 400 rolls.
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(-1,1,5)
9
8
7-
6
5
4
3₂
-3-2-1₁
(1,5)
(0,3)
Which exponential function is represented by the graph?
Of(x)=2(3¹)
Of(x)=3(3)
Of(x)=3(2)
O f(x) = 2(2¹)
Answers
The value of the equation that defines the function is f(x) = 3(5/3)ˣ
Finding an equation defining the functionFrom the question, we have the following parameters that can be used in our computation:
(0, 3) and (1, 5)
An exponential function is represented s
y = abˣ
Where,
a = y when x = 0
So, we have
y = 3bˣ
Using the other point, we have
3b = 5
This gives
b = 5/3
So, we have
f(x) = 3(5/3)ˣ
Hence, the equation defining f is f(x) = 3(5/3)ˣ
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