-12 is a rational number, an integer, a real number, and a whole number.
Answer: height of the tower is 1064 feet
Step-by-step explanation:
We want to determine the height of the tower.
Assuming her line of sight of the top of the tower is a straight line, then a right angle triangle is formed. The height, h of the tower represents the opposite side of the triangle. Her distance from the foot of the tower represents the adjacent side of the triangle.
To determine h, we would apply the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Therefore,
Tan 85.7 = h/80
h = 80tan 85.7
h = 1064 feet
Given:
To find:
The number of possible solutions, if the Order of Operations did not exist.
Solution:
We have,
Now,
Case 1:
![[4 + 9 + 16] \div [4 - 8 -(3 \times 5)]=29\div (4 - 8 -15)](https://tex.z-dn.net/?f=%5B4%20%2B%209%20%2B%2016%5D%20%5Cdiv%20%5B4%20-%208%20-%283%20%5Ctimes%20%205%29%5D%3D29%5Cdiv%20%284%20-%208%20-15%29)
Case 2:
![[4 + 9 + 16] \div (4 - 8 -3) \times 5=29\div (-7\times 5)](https://tex.z-dn.net/?f=%5B4%20%2B%209%20%2B%2016%5D%20%5Cdiv%20%20%284%20-%208%20-3%29%20%5Ctimes%20%205%3D29%5Cdiv%20%20%28-7%5Ctimes%205%29)
Case 3:
Many more possibilities are there.
Therefore, there are more than 3 possible solutions.
Answer:
20 games
Step-by-step explanation:
Lets work backwards; *Adding what he gave away or lost*
-Alex started with 16 video games
-Add the games gave to his brother (+2)
-Add the games he sold (+3)
-The number is 3/4 of his games
-Subtract the games he traded with hector (-1/4)
Equation: 16+2+3-6= 3/4 X (variable) *You can choose other than X*
21-6 = 15
15 = 3/4
Take the reciprical of 3/4 which is 4/3 and multiply it by both sides
4/3 x 15 = 3/4 x 4/3
4/3 X 15 = 20!
ALEX STARTED WITH <em>20 GAMES!</em>
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35% of a number (say, x) is 35% * x.
35% can be written as a fraction, too. % means /100, so 35% is 35/100 which simplifies to 7/20.
So, 35% * x = 7/20 * x
