True because 7+3 is 10 and 10<12
<h3>
Answer: Approximately 119.76 meters</h3>
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Work Shown:
x = starting length of the shadow
y = height of the pole
tan(angle) = opposite/adjacent
tan(58) = y/x
1.6003345 = y/x
1.6003345x = y
x = y/1.6003345
x = (1/1.6003345)y
x = 0.62486936y
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When the angle changes, the adjacent side gets 90 meters longer
tan(angle) = opposite/adjacent
tan(36) = y/(x+90)
0.72654253 = y/(0.62486936y+90)
0.72654253(0.62486936y+90) = y
0.453994166y + 65.3888277 = y
65.3888277 = y-0.453994166y
65.3888277 = 0.546005834y
0.546005834y = 65.3888277
y = 65.3888277/0.546005834
y = 119.758478075162
y = 119.76
The height of the pole is about 119.76 meters.
Answer: 
Step-by-step explanation:
From the sports arena to Kristina's house = 
From the sports arena to Luke's house = 
Subtract Luke from Kristina
There's a confusing but easy way to solve this. However, I'm going to convert into improper fractions to make it easier.
To convert to improper fraction, take the whole number, multiply it by the denominator and add it to the numerator. All over the same denominator.
Subtract them.
Convert to mixed number by dividing.
65/10=6
60
----
5
The 6 is the whole number, 5 the numerator and 10 the denominator. Remember the negative sign that we had.
5 and 10 can be simplified
5/5=1
10/5=2
Our final answer would be:
Answer
370.2 inches^2
Step-by-step explanation:
find the mass of the circle by taking the radius ( 9) square it and times it by pi then divide it by 2. Add that with the (27 times 18) divided by 2.
