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astraxan [27]
3 years ago
6

Find the volume & surface area of a cylinder with radius 4 cm and height 9 cm

Mathematics
1 answer:
Komok [63]3 years ago
7 0

Answer:

V= 452.39cm³ (to 2 d.p. )

S.A. = 326.73cm² (to 2 d.p. )

Step-by-step explanation:

Vcylinder = π r² h = π (4)² (9) = 144 π = 452.3893421cm³ = 452.39cm³ (to 2 d.p. )

S.A. cylinder = 2π r h + 2π r² = 2π (4)(9) + 2π (4)² = 104π = 326.725636cm² = 326.73cm² (to 2 d.p. )

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maksim [4K]

<u>Part A</u>

<u />4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3

So, the x-intercepts are \boxed{\left(-\frac{5}{4}, 0 \right), (3,0)}

<u>Part B</u>

The vertex will be a minimum because the coefficient of x^2 is positive.

The x-coordinate of the vertex is x=-\frac{-7}{2(4)}=\frac{7}{8}

Substituting this back into the function, we get f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}

So, the coordinates of the vertex are \boxed{\left(\frac{7}{8}, -\frac{289}{16} \right)}

<u>Part C</u>

Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.

The graph is shown in the attached image.

7 0
1 year ago
A clothing store sells a customer 3 T-shirts and 4 pairs of shorts for $83.
ss7ja [257]
3t + 4s = $83
4t + 1s = $50 (x 4)

16t + 4s = $200
3t + 4s = $83 (minus them£

13t = $117 (divide by 13)

t = $9

sub t into first equation.

3 x 9 = 27
27 + 4s = $83
4s = $56
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7 0
3 years ago
The table below shows the average attendance of school events by the day of the week on which they are held. Average Attendance
natka813 [3]

Hello! :)

_____________ ☆ ☆_____________________

Answer:

407

Step-by-step explanation:

The answer is 407 because....

300/184 x 250

=407.60

So the answer is 407.60 which rounds to 407

ANSWER: X=407

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Hope this helps! :)

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Good luck!

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3 years ago
What is the solution of -x+4&gt;2
Svetradugi [14.3K]

There is no single solution but there is a group of solutions also known as the interval.

-x+4>2 \\-x>-2 \\x

This can be written with an interval.

x\in(-\infty, 2)

Hope this helps.

r3t40

6 0
3 years ago
HELP!!<br>Find the third term of (x^2+3y)^3
lana66690 [7]

Answer:

T_{3}=27{x}^{2}y^2

Step-by-step explanation:

The given binomial expression is:

( {x}^{2} + 3y)^{3}

When we compare to:

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We have

a =  {x}^{2}

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The nth term is given by;

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3 years ago
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