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Sedbober [7]
3 years ago
13

PLEASE HELP ME PLEASEEEEE

Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0

Answer:

56.52 units³

Step-by-step explanation:

v  = \pi {r}^{2}h

r = 3 units ; h (height) = 2

V = 3.14 × 3² × 2

= 3.14 × 9 × 2

= 56.52 units³

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4 years ago
Find the solutions of each equation on the interval [0, 2π). si (3pi/2+x)+ sin (3pi/2+x)=-2
ANEK [815]

Answer:

The solutions are 0° and 3π

Step-by-step explanation:

On solving the equation given;

sin(\frac{3\pi}{2}+x )+ sin(\frac{3\pi}{2}+x ) = -2\\2sin(\frac{3\pi}{2}+x ) = -2\\sin(\frac{3\pi}{2}+x ) = -1\\\frac{3\pi}{2}+x  = sin^{-1}-1\\ \frac{3\pi}{2}+x = -\frac{\pi}{2} \\x = -\frac{\pi}{2} -\frac{3\pi}{2} \\x =  \frac{-4\pi}{2} \\x = -2\pi\\

<u>Since sin is negative in the 3rd and 4th quadrant, </u>

In the 3rd quadrant;

x =180°+2π

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In the 4th quadrant;

x = 360°-2π

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6 0
3 years ago
How do you find the vertex and axis of symmetry for this function, <br><br> F(x)=3(x+1)^2
Andrews [41]
Answers:
Vertex is (-1,0)
Axis of symmetry is x = -1

============================================

Explanation:

F(x) = 3(x+1)^2
is the same as
y = 3(x-(-1))^2 + 0
which is in the form
y = a(x-h)^2 + k

We can see that
a = 3
h = -1
k = 0

Therefore the vertex is (h,k) = (-1,0)
The axis of symmetry is x = h = -1 which is the equation x = -1

The axis of symmetry in this case is a vertical line through the vertex. 
3 0
3 years ago
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