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mylen [45]
4 years ago
9

Name Lesley

Mathematics
1 answer:
julsineya [31]4 years ago
6 0

Answer:

b

Step-by-step explanation:

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A cube whose edge is 20 cm 1 point
Sav [38]

Answer:

Unpainted  surface area = 514.28 cm²

Step-by-step explanation:

Given:

Side of cube = 20 Cm

Radius of circle = 20 / 2 = 10 Cm

Find:

Unpainted  surface area

Computation:

Unpainted  surface area = Surface area of cube - 6(Area of circle)

Unpainted  surface area = 6a² - 6[πr²]

Unpainted  surface area = 6[a² - πr²]

Unpainted  surface area = 6[20² - π10²]

Unpainted  surface area = 6[400 - 314.285714]

Unpainted  surface area = 514.28 cm²

6 0
4 years ago
Integration of sin^2 2x cos^3 2x dx
lilavasa [31]

\int\left[\sin^2(2x)\cos^3(2x)\right]dx=\int\left[\sin^2(2x)\cos^2(2x)\cos(2x)\right]dx\\\\\text{Use the trigonometric identity}\sin^2(x)+\cos^2(x)=1\to\cos^2(x)=1-\sin^2(x)\\\\=\int\left\{\sin^2(2x)[1-\sin^2(2x)]\cos(2x)\right\}dx\\\\\text{substitute}\ \sin2x=t\ \to\ 2\cos2x\ dx=dt\ \to\ \cos2x\ dx=\dfrac{1}{2}\ dt\\\\=\dfrac{1}{2}\int\left[t^2(1-t^2)\right]dt=\dfrac{1}{2}\int(t^2-t^4)dt=\dfrac{1}{2}\left(\dfrac{1}{3}t^3-\dfrac{1}{5}t^5\right)+C


=\dfrac{1}{2}\left(\dfrac{1}{3}\sin^3(2x)-\dfrac{1}{5}\sin^5(2x)\right)+C

4 0
3 years ago
Whats the square root of 1/5 minus the square root of 5
I am Lyosha [343]
You have to simplify the 1/5 first.
Then simplify the square root of 1 to equal 1
Then rationalize the denominator
Then simplify

8 0
3 years ago
7. The graph shows the height, h, in feet, of water
MariettaO [177]

The domain is talking about the "range" of the horizontal axis therefore you will be focusing on the x-intercepts.

The answer will be All non-negative real numbers less than or equal to 18

because the x-intercepts lies at 0 and 18. The answer makes sense because the furthest you can go is 18 ft and the closest you could go is 0 ft. The "all non-negative real numbers" puts a restriction on the least distance it could travel so that means that it stops at 0 ft because if you go any further, you will end up in the negatives and it clearly states "non-negative".

4 0
2 years ago
What is 4 - ( -h ) = 68?
Kryger [21]
4 + h = 68

h = 68 - 4

h = 64

hope this helps
5 0
3 years ago
Read 2 more answers
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