Draw a picture of a building and a one mile (or 5280 feet) distance to a point from the base of the building.
The angle of elevation is given as 11° and we want the height of the building or x.
tan(11°) = x/5280
5280 tan(11°) = x
1026.3 feet = x
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Answer:
Use compatible numbers that are close to the actual numbers
Choose 36 for 35 3/4 and 6 for 5 7/8 because the divide evenly.
Step-by-step explanation:
Compatible numbers are numbers that are close to the actual values of a particular number. They make estimating easier when yo udo the different operations.
We choose 36 for 35 3/4 because 36 is closer to its value that 34. Conveniently, 5 7/8 is closer to 6 than 5, and they divide evenly. So a best estimate for the number of rows Holly can make would be:
36/6 = 6 rows.
Answer:
The rate of change: 1/5
Initial value: (0,-1)
Step-by-step explanation:
The rate of change is easily 5/25, we just have to simplify it to 1/5.
To get the intial value, just subtract (2,9) by the rate of change twice.
Answer:
The set of natural numbers is the set of all positive integers, then this set is:
{1, 2, 3, ...}
and the 24th letter of the alphabet is x
Now we want to write the expression given in the sentence "It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"
We can "break" this in parts, so it is easier to understand.
Then:
"...the sum of the first 3 natural numbers..."
is:
1 + 2 + 3
Then:
"...the sum of the first 3 natural numbers, followed by the 24th letter of the alphabet"
This can be written as:
(1 + 2 + 3) + x
Now we can analyze the complete sentence:
"It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"
This is equal to the expression we found above plus one, then we can write this as:
[(1 + 2 + 3) + x] + 1
[6 + x] + 1
6 + x + 1
7 + x
