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ivolga24 [154]
3 years ago
6

Use calculus to find the volume of the following solid S S : The base of S is a circular disk with radius r. Parallel cross-sect

ions perpendicular to the base are isosceles triangles with height and unequal side in the base.
Mathematics
1 answer:
choli [55]3 years ago
8 0

Answer:

The correct answer is: A = 1/2 bh V = integral A(x) from [-r, r].

Step-by-step explanation:

x^2 +y^2 = r^2 A = 1/2 bh b = 2y = 2sqrt[r^2 - x^2] so that gives A = 1/2 [ 2sqrt(r^2 - x^2)]h which gives A = sqrt[r^2 - x^2]h

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5 of 8
aleksandr82 [10.1K]

Given:

The mean age of 5 people in a room is 26 years.

A person enters the room. The mean age is now 33.

To find:

The age of the person who entered the room.

Solution:

Formula for mean:

\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}

The mean age of 5 people in a room is 26 years.

26=\dfrac{\text{Sum of ages of 5 people}}{5}

26\times 5=\text{Sum of ages of 5 people}

130=\text{Sum of ages of 5 people}

The mean age is now 33. It means, the mean age of 6 people is 33.

33=\dfrac{\text{Sum of ages of 6 people}}{6}

33\times 6=\text{Sum of ages of 6 people}

198=\text{Sum of ages of 6 people}

Now, the age of the person who entered the room is

Required age = Sum of ages of 6 people - Sum of ages of 5 people

                       = 198-130

                       = 68

Therefore, the age of the person who entered the room is 68 years.

6 0
3 years ago
Given: bisects ∠MRQ; ∠RMS ≅ ∠RQS
Serggg [28]

Answer:

ΔRMS ≅ ΔRQS by AAS

Step-by-step explanation:

See the diagram attached.

Given that ∠ RMS = ∠ RQS and N is any point on RS and ∠ MRS = ∠ SRQ.

Therefore, between Δ RMS and Δ RQS, we have

(i) ∠ RMS = ∠ RQS {Given}

(ii) ∠ MRS = ∠ SRQ {Also given} and

(iii) RS is the common side.

So, by angle-angle-side i.e. AAS criteria we can write ΔRMS ≅ ΔRQS. (Answer)

8 0
3 years ago
Read 2 more answers
Can you please help me figure out how the answer is 1/9 im getting 9​
timama [110]
Can you upload another picture, you cannot really see your problem
6 0
3 years ago
What is the geometric mean of 8 and 2?​
Molodets [167]

9514 1404 393

Answer:

  4

Step-by-step explanation:

The geometric mean of two numbers is the square root of their product.

  √(8·2) = √16 = 4

The geometric mean of 8 and 2 is 4.

__

The geometric mean of n numbers is the n-th root of their product.

6 0
3 years ago
Which number has a value of 800,000,000
Igoryamba
A.890,380,986 of the value
4 0
3 years ago
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