Answer:
Step-by-step explanation:
RSB is a right angle
12. RSB is 90 degrees
13. A right angle is 90 degrees
H is between P and S
14. PS + PH = HS
15. Deductive Reasoning
First, I would create a number line that includes the number -4 to 4, with 1/4 notches (3 notches between each number).
For 3, I would count 3 numbers to the right from zero.
For 2.25, I would count 2 numbers from zero, plus one additional notch to the right. Remember that each notch represents 1/4, or 0.25.
For the opposite of 4, I would count 4 to the left to -4. The opposite of 4 is -4.
For -(-1 1/2), I would remember that this number is actually 1 1/2, since a negative times a negative number is positive. I would count one number to the right of zero, plus two notches.
Answer:
DF=20
Step-by-step explanation:
=
Use cross Multiplication
9DF=180
Divide 180 by 9
DF=20
Hope this helps! :)
Given:
The function is:

To find:
The initial value of the function.
Solution:
We have,

The value of the function at x=0 is called the initial value of the function.
For x=0, we get


Clearly 0.88 is a non zero number and zero to the power of a non zero number is always 1.


Therefore, the initial value of the function is 350.
Answer: 9.97
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Explanation:
y = distance from the base of the pole to the closest person
y+200 = total horizontal distance
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Focus on the smaller right triangle.
tan(angle) = opposite/adjacent
tan(26) = 55/y
y*tan(26) = 55
y = 55/tan(26)
y = 112.76671 approximately
Make sure your calculator is in degree mode.
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Now move to the larger right triangle
tan(angle) = opposite/adjacent
tan(x) = 55/(y+200)
tan(x) = 55/(112.76671+200)
tan(x) = 55/312.76671
tan(x) = 0.17585
x = arctan(0.17585) same as 
x = 9.97349
x = 9.97 degrees approximately