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Oliga [24]
3 years ago
15

What’s the surface area

Mathematics
1 answer:
STALIN [3.7K]3 years ago
4 0

Answer: 38 in.^{2}


Step-by-step explanation:

1/ Find the area of the triangular sides. (1/2 x 2 x 6 = 6 in.^{2} for each triangular side)

2/ Find the area of each of the rectangular sides. In this case, the bottom (base) side is 2x6 = 12 in^{2}. The rectangular side on the left is 2x3 = 6 in.^{2}, and the rectangular side on the right is 4x2 = 8 in.^{2}.

3/ Add everything together. Rectangular Sides + Triangular Sides = Surface Area ---> 12 in.^{2} + 6 in.^{2} + 8 in.^{2} + 6 in.^{2} + 6 in.^{2} = 38 in.^{2}

4/ You have your answer, now hope it helps ! :)

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Find the value of x such that 365 based seven + 43 based x = 217 based 10.
Pepsi [2]

We need to find the base x in the following equation:

365_7+43_x=217_{10}

First, lets convert 365 from base 7 to base 10. This is given by

365_7=3\times7^2+6\times7^1+5\times7^0

where the upperindex denotes the position of eah number. This gives

\begin{gathered} 365_7=3\times49+6\times7+5\times1 \\ 365_7=147+42+5 \\ 365_7=194_{10} \end{gathered}

that is, 365 based 7 is equal to 194 bases 10.

Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:

43_x=4\times x^1+3\times x^0

where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives

43_x=(4x+3)_{10}

Now, we have all number in base 10. Then, our first equation can be written in base 10 as

194_{10}+(4x+3)_{10}=217_{10}

For simplicity, we can omit the 10 and get

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and by moving 197 to the right hand side, we obtain

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Finally, we get

\begin{gathered} x=\frac{20}{4} \\ x=5 \end{gathered}

Therefore, the solution is x=5

8 0
1 year ago
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