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nevsk [136]
3 years ago
14

Surface Area of a Cylinder=2πr2+2πrh.

Mathematics
2 answers:
Vinil7 [7]3 years ago
8 0

Answer:

SA ≈ 804.25

Step-by-step explanation:

SA =2πrh+2πr2

=2·π·4·28+2·π·42

≈804.24772

r (radius) is half of a diamater

Triss [41]3 years ago
4 0
The answer is 804.25 because radius=half
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If preimage is (0, 1) . (4, 0), (4, 1) , what are the points after a translation of 3 units up and then a reflection over the -a
yulyashka [42]

Answer:

(0, 4) (-4, 3) (-4, 4)

Step-by-step explanation:

Translation rules:

Units UP - Add to the y-coordinate.

Units DOWN - Subtract from the y-coordinate.

Units RIGHT - Add to the x-coordinate.

Units LEFT - Subtract from the x-coordinate.

--------------------------------------------------------------------------------------------------------------

In this case, the word problem is asking for the points after a translation of 3 units up.

(x, y+3)

(0,1) → (0,4)

(4,0) → (4,3)

(4,1) → (4,4)

--------------------------------------------------------------------------------------------------------------Now it's time to reflect the new points over the y-axis.

When reflecting over the y-axis, the y-coordinate remains the same, but the x-coordinate becomes the opposite value. (-x, y)

(0,4) → (0,4)

(4,3) → (-4,3)

(4,4) → (-4,4)

3 0
3 years ago
The polynomial f(x) leaves a remainder of - 3 and - 7 when divided by (3x - 1) and (x +1) respectively.
olga55 [171]

Step-by-step explanation:

Here, f(x) is the given polynomial.

By remainder Theorem,

When divided by (3x-1),

f(1/3) = -3........(1)

When divided by (x+1),

f(-1) = -7.........(2)

<em>Another</em><em> </em><em>polynomial</em><em> </em><em>is</em><em> </em><em>3</em><em>x</em><em>²</em><em>+</em><em>2</em><em>x</em><em>-</em><em>1</em>

Solving,

3x²+2x-1

= 3x²+3x-x-1

=3x(x+1)-(x+1)

=(3x-1)(x+1)

So

f(x) = (3x-1)(x+1)Qx + (ax+b)

For f(-1),

-7 = -a+b

b= a-7

For f(1/3),

-3 = a/3+b

or, -3 = a/3+a-7

or, 4×3 = 4a

or a = 3

Also, b = 3-7 =-4

Hence, remainder is (3x-4)

7 0
4 years ago
Factor the trinomial below. x^2 + 5x – 24 A. (x – 8)(x + 3) B. (x – 4)(x + 6) C. (x – 3)(x + 8) D. (x – 6)(x + 4)
abruzzese [7]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

x² + 5x - 24

To factorize first write 5x as a difference so that when subtracted will give you 5 and when multiplied will give you - 24

That's

x² + 8x - 3x - 24

Factorize x out

That's

x( x + 8) - 3(x + 8)

Factor x + 8 out

We have the final answer as

<h3>(x + 8)(x - 3)</h3>

Hope this helps you

8 0
3 years ago
Which was the resulting equation of that step? (x + 2)2 – 9 = –5
GalinKa [24]

Answer idk ask wpb_cubanBoi23 on instagram

Step-by-step explanation:

4 0
3 years ago
3x-4y=<br> 3x−4y=<br> \,\,9<br> 9<br> -5x+4y=<br> −5x+4y=<br> \,\,-23<br> −23
Marta_Voda [28]

Answer: (7,3)

Step-by-step explanation:

<u>[Please check]:</u>   I decoded the equations as follows:

3x-4y=9 and −5x+4y=-23

We can solve this by either of two methods:  Algebra and graphing.

<u>Algebra:</u>

Add the two equations:

  3x-4y=9

<u> −5x+4y=-23</u>

-2x = -14

   x = 7

Use x=7 to solve for y:

3x-4y=9

3(7)-4y=9

21 -4y = 9

-4y = -12

y = 3

----

The solution is (7,3)

======

<u>Graphing:</u>

See the attached graph.  The lines intersect at (7,3)

7 0
3 years ago
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