Answer:
16 seconds (Approximately)
Step-by-step explanation:
Given:
The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:

Final position of the snowboarder is 
Now, plugging in 100 for 'd' and solving for 'x', we get:

Adding -1100 both sides, we get:

Dividing both sides by -4, we get:

Taking square root and neglecting the negative root as time can't be negative. So,

Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.
Given that the area of this square is 361 ft^2, the side length is √(361 ft^2), or 19 ft.
The grams of apples left is 413765 grams
<h3>How to determine the value</h3>
From the information given, we have that:
- There are 36 crates of apples
- Each contains 25 kilograms of apples
- 486,235 grams of apples were sold
If we have 36 crates, let's determine the the total grams of apples
1 crate = 25 kilograms = 25000 grams
36 crates = x
x = 25000 × 36
x = 900000 grams
The total grams of apple is 900000 grams
The grams left = Total - sold = 900000 - 486,235 = 413765 grams
Thus, the grams of apples left is 413765 grams
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The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)
Sum of all the interior angles of a triangle is 180°.
So a equation can be made by the given data,
(x-40°) + (x-20°) + (½ x-10°) = 180°
x-40°+x-20°+½x-10° = 180°
2x+½x -60°-10° = 180°
5/2 x - 70° = 180°
5/2 x = 180° + 70°
5/2 x = 250°
x = 250° × 2/5
x = 50° × 2
x = 100°
So the angles are
x-40° = 100°-40° = 60°
x-20° = 100°–20° = 80°
½x-10° = ½(100)° - 10° = 50° -10° = 40°
The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.
60° + 80° + 40° = 100° + 80° = 180°
Step-by-step explanation:
3 + 3(k + 3) = 6(k - 2) + 9
3 + 3k + 9 = 6k - 12 + 9
12 + 12 - 9 = 6k - 3k
15 = 3k
k = 15/3
k = 5