Answer:
5507.79 feet
Step-by-step explanation:
To find the height of the mountain, we can draw triangles as in the image attached.
Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.
Then, we can use the tangent relation of the angles:
tan(34) = h/x
tan(31) = h/(x+1000)
tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:
h/x = 0.6745 -> x = h/0.6745
using this value of x in the second equation:
h/(x+1000) = 0.6009
h/(h/0.6745 + 1000) = 0.6009
h = 0.6009 * (h/0.6745 + 1000)
h = 0.8909*h + 600.9
0.1091h = 600.9
h = 600.9 / 0.1091 = 5507.79 feet
Answer:
44x+49 is a factor of 44x+49
Step-by-step explanation:
4 x 4 = 16x
16x + 28x = 44x
a variable cannot be added with a number without a variable
so 44x + 49 is the answer
product means multiply, at least means greater than or equal to
The product of a number and 5 is at least 45: 5n ≥ 45
If asked to solve, divide 5 from both sides: n ≥ 9
Answer: 5n ≥ 45
Hello,
if n=15: (4,1),(31,8),(244,63)
if n=7: (8,3),(127,48),(2024,765)
if n=99: (10,1),(199,20),(3970,399)
(Pell 's equation)
Answer:
6.70m/s
Step-by-step explanation:
Speed = distance/time
Given the winner covered a distance of 26m in time of 3.88 seconds
Therefore
Speed = 26/3.88
= 6.70m/s
