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Vladimir79 [104]
2 years ago
5

Which angle is congruent to CBA? BCD CDA ABC BAD

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
7 0

Answer:

the second cda is right give brainliest pls

Step-by-step explanation:

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Hi! I need help with the attached question in calc. Thank you:)
Elena L [17]

Answer:

3π square units.

Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

So, our representative rectangle will be horizontal.

R₁ is bounded by y = 9x.

So, x = y/9.

Our radius since our axis is AB will be 1 - x or 1 - y/9.

And we are integrating from y = 0 to y = 9.

By the disk method (for a vertical axis of revolution):

\displaystyle V=\pi \int_a^b [R(y)]^2\, dy

So:

\displaystyle V=\pi\int_0^9\Big(1-\frac{y}{9}\Big)^2\, dy

Simplify:

\displaystyle V=\pi\int_0^9(1-\frac{2y}{9}+\frac{y^2}{81})\, dy

Integrate:

\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]

Evaluate (I ignored the 0):

\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi

The volume of the solid is 3π square units.

Note:

You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi

We acquire the exact same answer.

8 0
2 years ago
The minute hand of a clock is 8 inches long. To the nearest tenth of an inch, how far does the tip of the minute hand travel as
lesya692 [45]

Answer:

The tip of the minute hand travels 20.9 inches.

Step-by-step explanation:

We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.

<u>So, firstly we will find the circumference of circle;</u>

       Circumference of circle (C)  =  2\pi r   {where r is radius of circle}

                                                      =  2 \times \pi \times 8   {given r = 8 inches long}

                                                      =  16 \pi

Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents  \frac{25}{60}  which is  \frac{5 }{12}  of the circumference, that means;

The length of arc from time 12:00 to 12:25  =  \frac{5}{12}\times \text {Circumference of circle}

                                                                       =  \frac{5}{12} \times 16 \pi

                                                                       =  \frac{20}{3} \pi = 6.67\pi

Now, assuming value of \pi = 3.14; so 6.67\pi =  6.67 \times 3.14 = 20.9 inches (in nearest tenth)

Hence, the tip of the minute hand travels 20.9 inches.

5 0
3 years ago
Which is the answer to this?
Vinil7 [7]
TanB=CA/AB
=15/8
=option D.


HOPE IT HELPS YOU '_'
8 0
3 years ago
Eight times the sum of a number and six
user100 [1]

Answer:

There is any answer as you choose.

Step-by-step explanation:

There is no equal to so you can choose any number.

3 0
3 years ago
If f(x) = 2x+6 and g(x)= x3 what is (g f)(0)?
GuDViN [60]

Answer:

27

Step-by-step explanation:

g(f(0))=g(2(0)+3)=g(3)=3^3=27

5 0
1 year ago
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