The integers are 52 and 53
<em><u>Solution:</u></em>
Consecutive numbers are numbers that follow each other in order. They have a difference of 1 between every two numbers
Let the two consecutive integers be x and x + 1
Given that, sum of two consecutive integers is 105
Therefore,
x + x + 1 = 105
Combine the like terms
2x + 1 = 105
2x = 105 - 1
2x = 104
Divide both sides of equation by 2
x = 52
Thus, another integer = x + 1 = 52 + 1 = 53
Thus the integers are 52 and 53
Answer:
68.2 feet
Step-by-step explanation:
The angle of elevation, the one from the ground up, is given as 33 degrees. If Kari is 105 feet from the tree, that serves as the measure of the base of the right triangle. We are looking for the height of the tree, which is the side opposite the angle. What we have, then, is the angle (33 degrees), the side adjacent to the angle (105 ft), and we are looking for the side opposite the angle (x). What we need to use is the tangent ratio, which relates the side opposite the angle to the side adjacent to the angle, as follows:
![tan33=\frac{x}{105}](https://tex.z-dn.net/?f=tan33%3D%5Cfrac%7Bx%7D%7B105%7D)
To solve for x we multiply both sides of the equation by 105 to get 105tan33°=x. Plug that into your calculator in degree mode to get 68.18779729. Round from there to get 68.2 feet.
The answer would be 0, -1,-5,-7
10% of 500 = .1 * $500 = $50
answer: he puts $50 in his saving each week