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bekas [8.4K]
3 years ago
7

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54.

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0
Well 8cm squared is 48 cm then you add the 6cm and get 54cm

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Find the side of to cube<br> whose volume is<br> 5.832cm3
Scorpion4ik [409]

Answer:

1.8cm

Step-by-step explanation:

Use the volume of cube formula.

\displaystyle V=s^3

\displaystyle5.832=s^3

\displaystyle\sqrt[3]{5.832} =s

\displaystyle s=1.8

3 0
3 years ago
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If y-3x=9, 7x+y=25, what is the value of x and y?
lianna [129]

\bold{\rm{Given}}\text{ : If y - 3x = 9, 7x + y = 25, what is the value of x and y}?

\bold{\rm{Solution}} \text{: We'll solve this by substitution method}

\dashrightarrow  y - 3x = 9 \\  \\  \dashrightarrow   \boxed{y = 9 + 3x } \qquad .. \sf eq(1)

\text{we got the value of y now getting the value of x}

\looparrowright 7x + y = 25 \\  \\  \looparrowright 7x = 25 - y \\  \\  \looparrowright  \boxed{x =   \frac{25 - y}{7}} \qquad .. \sf eq(2)

\text{Now, putting y = 9 + 3x in eq(2)}

\hookrightarrow  x =  \frac{25 - y}{7}   \\  \\ \hookrightarrow  x =  \frac{25 - 9 + 3x}{7}  \\  \\ \hookrightarrow  7x =  25 - 9 + 3x \\  \\ \hookrightarrow  7x - 3x =  16 \\  \\ \hookrightarrow  4x = 16 \\  \\ \hookrightarrow  x =  \frac{16}{4}  \\  \\ \star \quad  \boxed{ \green{ \frak{ x = 4}}}

\text{Now we know the value of x, for getting y we need to put x in eq(1)}

: \implies y = 9 + 3x \\  \\   : \implies y = 9 + 3(4) \\  \\  : \implies y = 9 + 12  \\  \\    \star \quad  \boxed{\frak{  \green{y = 21}}}

\text{Hence, values of x and y are} \:  \frak{ \green{4}}  \: \text{and} \:  \frak{ \green{21}} \: \text{respectively}.

4 0
2 years ago
Write the following equation in slope-intercept form 3x=-2y+4
Lorico [155]
The form is y=mx+b

3x=-2y+4 (add 2y)

3x+2y=4 (subtract 3x)

2y=-3x+4 (divide by 2)

y= -2/3x+2
5 0
3 years ago
Find the surface of the rectangular prism ​
baherus [9]

Answer:

The surface of the rectangular prism is <u><em>42</em></u>

l × w × h

The length is 3 width is 2 and the height is 3.

Hope this helps have an awesome day❤

5 0
3 years ago
3,650,000 =<br> How to write this in scientific notation form
Ad libitum [116K]

Answer:

3.65E6

Step-by-step explanation:

3,650,000=3.65*10^6

which is equivalent to 3.65E6

E6 means 10 raised to the power 6.

Any number after E(negative or positive) in such notation means 10 raised to the power the given number.

3 0
3 years ago
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