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yaroslaw [1]
3 years ago
10

What is the surface area of a regular pentagonal prism with side length 8, altitue 20 and apothem approximately 5.5

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
5 0
The surface area of the pentagonal prism is given by:
SA=2[area of the pentagonal sides]+5[area of rectangle sides]
Area of pentagonal side will be given  by:
Area=5/2 sa
where;
side,s=8
apothem ,a=5.5
hence;
Area=5/2*8*5.5=110 sq units

Area of rectangular side will be:
Area=length*width
=20*8=160 sq units
therefore the surface area (SA) will be:
SA=110*2+5*160
=1,020 sq. units
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Can some please help me with Algebra 2 work? Its problems 45-48 all and 53-57 just odd numbers
Elanso [62]

45)

E = mc²     <em> (solve for "m" by dividing both sides by c²)</em>

E/c² = m

46)

c(a + b) - d = f  <em>(to solve for "a"; add "d", divide by "c" and then subtract "b")</em>

c(a + b)     = f + d

(a + b)       = (f + d)/c

a              = (f + d)/c  - b

47)

z = πq³h  <em> (solve for "h" by dividing both sides by πq³)</em>

z/πq³ = h

48)

(x + y)/z - a = b   <em> (solve for "y"; add "a", multiply by "z", and then subtract "x")</em>

(x + y)/z      = b + a

(x + y)         = z(b + a)

     y           = z(b + a) - x

53)

5x - 9 = 11x + 3

     -9 = 6x + 3      <em>subtracted 5x from both sides</em>

    -12 = 6x          <em>subtracted 3 from both sides</em>

      -2 = x           <em>divided both sides by 6</em>

55)

5.4(3k - 12)   +   3.2(2k + 6) = -136

16.2k - 64.8   +  6.4k + 19.2 = -136      <em>distributed 5.4 and 3.2</em>

22.6k - 45.6 = -136             <em>added like terms (16.2k + 6.4k and -64.8 + 19.2</em>

22.6k = -90.4                    <em>added 45.6 to both sides</em>

      k = -4                       <em>divided both sides by 22.6</em>

57)

(4/9)y + 5 = (-7/9)y - 8

4y + 45 = -7y - 72           <em>multiplied by 9 to clear the denominator</em>

11y + 45 = -72                 <em>added 7y to both sides</em>

11y         = -99                  <em>subtracted 45 from both sides</em>

y            = -9                    <em>divided both sides by 11</em>



8 0
4 years ago
If x = 4, calculate the value of: 7x + 2x + x
kenny6666 [7]

Answer:

40

Step-by-step explanation:

7(4)+2(4)+(4)=?

28+8+4=?

36+4=?

40

3 0
3 years ago
Find the length of the missing side.<br> 50 m<br> 30 m<br> The length of the missing side is<br> m.
satela [25.4K]

Answer: The missing length is 40 m.

Step-by-step explanation:

30^2 + b^2 = 50^2

900 + b^2 = 2500

-900              -900

       b^2 = 1600

b=  40

3 0
3 years ago
An alternative under consideration involves incurring $50 in costs to generate $60 in revenue. The differential revenue for this
zimovet [89]

Answer:

50

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP ME<br> 4x+1/3 y^2<br> x=2<br> y=3
Rama09 [41]
4(2)+1/3(3^2) = 11
Hope you got this
3 0
3 years ago
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