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Georgia [21]
4 years ago
8

Find the width of a rectangular prism when the surface area is 208 square centimeters -H=8cm,L=6cm

Mathematics
2 answers:
alexandr1967 [171]4 years ago
7 0
Area=2area\ of\ base+4\area\ of\ side\\\\
area\ of\ base=2width*L=12width\\\\
area\ of\ side=2width*8+2*6*8=96+16width\\\\
208=96+16width+12width\\\\
208=96+28width\ \ \ |Subtract \ 96\\\\112=28width\ \ \ |Divide\ by\ 28\\\\width=4cm

il63 [147K]4 years ago
3 0
By definition, the surface area of a rectangular prism is given by:
 A = 2wl + 2wh + 2hl

 Where,
 w: width of the prism
 h: prism height
 l: length of the prism
 Clearing w we have:
 A = 2 (wl + wh + hl)

 A=2w(l + h)+2hl
 w=\frac{A - 2hl}{2(l + h)}
 Substituting values we have:
 w=\frac{208 - 2(8)(6)}{2(6 + 8)}
 Rewriting:
 w=\frac{208 - 96}{2(14)}
 w=\frac{112}{28}
 w = 4
 Answer:
 
the width of the rectangular prism is:
 
w = 4
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If D is the midpoint of CE, CD= 9x-7, and DE= 3x+17, find CE
tatuchka [14]
Hello!

Since D is the midpoint and the two equations are and both sides of point D the equations equal each other

9x - 7 = 3x + 17

Now you solve it algebraically

Add 7 to both sides

9x = 3x + 24

Subtract 3x from both sides

6x = 24

Divide both sides by 6

x = 4

Now we put this into both equations and add them

9(4) - 7 = 29
3(4) + 17 = 29

29 + 29 = 58

The answer is 58 units

Hope this helps!
3 0
3 years ago
Please see the image and help with this homework problem. thank you!
dimulka [17.4K]

we have the function

E=\sin \frac{\pi}{14}t

Part a

For t=7

substitute in the given function

\begin{gathered} E=\sin \frac{\pi}{14}7 \\ E=1 \end{gathered}

For t=14

\begin{gathered} E=\sin \frac{\pi}{14}14 \\ E=0 \end{gathered}

For t=21

\begin{gathered} E=\sin \frac{\pi}{14}21 \\ E=-1 \end{gathered}

For t=28

\begin{gathered} E=\sin \frac{\pi}{14}28 \\ E=0 \end{gathered}

For t=35

\begin{gathered} E=\sin \frac{\pi}{14}35 \\ E=1 \end{gathered}

Observation: The values of E varies from -1 to 1, including the zero

Part B

Remember that

The Period goes from one peak to the next

so

Period=2pi/B

B=pi/14

Period=(2pi)/(pi/14)=2pi*14/pi=28

<h2>the period is 28 days</h2>
6 0
1 year ago
PLEASE HELP!!! So the answer I got was 19.14 however that is not the correct answer. How do I solve this problem. Not sure what
Mamont248 [21]

Check the picture below.

so we know the radius of the semicircle is 2 and the rectangle below it is really a 4x4 square, so let's just get their separate areas and add them up.

\stackrel{\textit{area of the semicircle}}{\cfrac{1}{2}\pi r^2}\implies \cfrac{1}{2}(\stackrel{\pi }{3.14})(2)^2\implies 3.14\cdot 2\implies 6.28 \\\\\\ \stackrel{\textit{area of the square}}{(4)(4)}\implies 16 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{sum of both areas}}{16+6.28=22.28}~\hfill

3 0
3 years ago
Which expression can be used to find 15% of 20?
dezoksy [38]

Answer:

Expression:  0.15 * 20

Equation: 0.15 * 20 = 3

Step-by-step explanation:

This expression was found by dividing 15% by 100 to convert it into a decimal (0.15) that can be used to multiply with 20 to get your answer.

5 0
3 years ago
Convert 37/6 to a mixed number.<br> a. 65/6<br> b. 61/6<br> c. 55/6<br> d. 62/3
dmitriy555 [2]
\dfrac{37}{6}=\dfrac{36+1}{6}=\dfrac{36}{6}+\dfrac{1}{6}=\boxed{6\frac{1}{6}}
4 0
3 years ago
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