Answer:
y= 704.5x - 409
Step-by-step explanation:
Complete question is : . Complete the equation for the relationship between the altitude and number of hours.
SOLUTION
By plotting altitude on y-axis and time or duration of travel on x-axis of the graph, we will have the the location of Nour at t = 0 will be represented by (0, -409)
when t = 2 hours location points will be at (2, 1000).
As you know, at a constant rate her altitude is increasing , we will have a linear graph with equation y = mx + b --> eq(1)
Slope of the line is given by:
m= (y-y') / (x-x') => (1000+409)/(2-0)
m= 704.5
y-intercept 'b' is -409
Therefore, the eq(1) will become
(1)=> y= 704.5x - 409
Where, 'y' represents Nour's altitude(in meters) relative to sea level after 'x' hours
Answer:
DA = 285.7 m
Step-by-step explanation:
First we need to find the side AB in the triangle ABC, and we can do this using Pythagoras' theorem:
AB^2 = BC^2 + AC^2
AB^2 = 300^2 + 400^2
AB^2 = 25000
AB = 500 m
We can find the angle ABC with the tangent relation:
tangent(ABC) = 400/300 = 4/3
ABC = 53.13°
From triangle ABC, we have:
ABC + BCA + CAB = 180°
53.13 + 90 + CAB = 180
CAB = 36.87°
From triangle DAC, we have:
DAC + ACD + CDA = 180
36.87 + 45 + CDA = 180
CDA = 98.13°
Now to find the side of DA, we can use law of sines in triangle DAC:
DA/sin(DCA) = AC/sin(CDA)
DA/sin(45) = 400/sin(98.13)
DA = 400 * 0.7071 / 0.9899 = 285.7258 m
Rounding to nearest tenth, we have DA = 285.7 m
Answer:
1/12 of 1 =0.08333333333
Step-by-step explanation:
Answer:6 + 8
Step-by-step explanation:
Add the numbers
Combine like terms
Answer:
B. 600 ft
Step-by-step explanation:
The formula for the Perimeter of a right triangle = Side a + Side b + Side c
The perimeter of a right triangle is 60 feet
If the lengths of the sides of the triangle are each multiplied by 10, what is the perimeter of the new right triangle?
Hence, the perimeter of the new right triangle = 10 × 60ft
= 600ft
Option B is the correct Option.
