For this problem we can represent the situation as a rectangle triangle.
x: depth of water.
40: Base. "Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot"
x + 8: Hypotenuse. "He notices water lily sticking straight up from the water, whose blossom is 8 cm above the water's surface." Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot".
By the Pythagorean theorem we have:
x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
Clearing x:
x ^ 2 + 1600 = x ^ 2 + 16x + 64
x ^ 2 - x ^ 2 = 16x + 64 - 1600
0 = 16x -1536
1536 = 16x
1536/16 = x
x = 96
answer:
1) x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
2) the depth of the water is
x = 96
She could have hiked one 2 mile trail and one 1 mile trail or she could’ve hiked one 2.5 mile trail and another 0.5 mile trail
The sum of the interior triangles in a triangle is 180, so if we add all the angle measures together, we should get 180. Therefore, we can make an equation like this,
Simplify this.
Now we can find each angle measure.
So the angle labeled is the largest angle in the triangle.
5/7, there is a 2/7 or 10/35 chance that you will get green apple, take the remaining of the answer which is 5/7.
Answer:
2 000 miles
Step-by-step explanation:
In the first year, Mr James travels 8 x miles = 8 000 miles.
The second year, he traveled 1 x miles = 10 000 miles.
Comparing the distance covered in the two years,
10 000 miles - 8 000 miles = 2 000 miles
Therefore, Mr James travels 2 000 more miles in the second year than he did the first year.
Let's assume that Mr James conveys himself to his place of work all through the first year in his private car. But in the second year, there were some days in which the car was not available. So he had to go for his job by public transportation. This itch during those days, could cause an increase in the distance covered from his home to his place of work for the second year.