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Dominik [7]
2 years ago
12

Problem What is the volume of this rectangular prism?

Mathematics
2 answers:
Bumek [7]2 years ago
5 0

Answer:

\frac{27}{8} cm {}^{3}

Is the volume of this right rectangular prism.

Step-by-step explanation:

Rectangular prism volume formula is:-

  • v = l \times w \times h \\ v =  \frac{3}{2}  \times  \frac{3}{2}  \times  \frac{3}{2}apply \: fraction \:  rule  \\ v =  \frac{27}{8} .... \frac{a}{b}  \times  \frac{c}{d}  =  \frac{a  \times b}{c \times d}

murzikaleks [220]2 years ago
4 0

Answer:

V=\frac{27}{8}\: cm^3

Step-by-step explanation:

The formula to find the volume of a rectangular prism is:

V = length × height × width

<u>Let us find now.</u>

V = length \:* height \:* width\\\\V =\frac{3}{2} *\frac{3}{2} *\frac{3}{2} \\\\V=\frac{9}{4}*\frac{3}{2} \\\\ V=\frac{27}{8}\: cm^3

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I need help thank you
aliina [53]

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

we can find angle C  b/c the angles of a triangle always add to 180 , soo

180= C + 81 +63.5

35.5 = C

now that we have angle C and we know the Hyp we can use sin to find side g

where g = Opp and Hpy = 13.8 for this question

Sin(35.5) = Opp / 13.8

13.8*Sin(35.5) = Opp

8.0137 = Opp

g = 8.0137

next they ask for the area of the biggest triangle  ABC ( there are two smaller ones when you use D )

we can use 1/2 * base * height , but we don't know the base yet, even thou we do know the height.  

we can solve for line segment CD and DB and then add them for the side a .. or the base of the biggest triangle sooo.. CD = adj

Cos(35.5) = Adj / 13.8

13.8*Cos(35.5) = Adj

11.234794 =Adj

now solve for DB using cos again but with the other smaller triangle where  Adj = DB now

Cos(63.5) = Adj / 8.9

8.9*Cos(63.5) = Adj

3.971160

add these two Adjs together to get the total  'a' side

15.205954

now plug in side a as the base and g as the height of our biggest triangle

Area = 1/2 * 15.205954 * 8.0137

Area = 60.9159

rounded to 2 sig figs

Area = 60.92   :)   hope you get an "A"    :P

3 0
3 years ago
The value of n. 3n = (3^2)8
cupoosta [38]

Answer:

n= 24

because 3*24=72

and  (3^2)8 = 9*8=72

8 0
3 years ago
3x+2.2is equal to x=1.7
Leviafan [203]

Answer:

7.3 answer

Step-by-step explanation:

x=1.7

now

3x+2.2

3×1.7+2.2

7.3

7 0
3 years ago
ANSWER QIUCK PLEASE THANKS YOU
LUCKY_DIMON [66]

Answer:

3 3/11

Step-by-step explanation:

8 0
3 years ago
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Find the length of side BC. Round your answer to the nearest tenth.
Bogdan [553]

Answer: 5.4

Step-by-step explanation:

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3 years ago
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