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tatuchka [14]
2 years ago
13

A house that is 30 feet tall casts a shadow that is 50 feet long. A nearby tree casts a shadow that is 75 feet long. HOW LONG IS

THE TREE?
Mathematics
1 answer:
IRINA_888 [86]2 years ago
6 0

Answer:

the tree would be 45 feet tall

Step-by-step explanation:

so the house is 30 feet and 50 feet shadow, if you divide by 2 you can see that every 15 feet gives a 25 foot shadow, since 75-50 is 25 so in turn if the tree is 45 feet tall, it will make 75 foot shadow

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1.75 hours and 2 Hours

Step-by-step explanation:

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3 years ago
Which of the following absolute-value inequality corresponds to -2< X < 4?
Rudiy27

Answer:

-2 is the biggest number because in the negatives the bigger number us always the smaller one.

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Someone please help I hate probability :(
nikdorinn [45]
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9/36, 27/36, 32/36 , 4/36

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bogdanovich [222]
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2 years ago
Read 2 more answers
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

194+4x+3=217

so, we can solve this equation for x. By combining similar terms. we have

197+4x=217

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

\begin{gathered} 4x=217-197 \\ 4x=20 \end{gathered}

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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