Answer:
65 miles
Step-by-step explanation:
There are two simultaneous equations
. Remeber that v=d/t, 1hour = 60 minutes.
1. 40 = (d+15)/(t+0.5)
2. 50 = d/t
solving: d= 25 miles and t=0.5 hours.
The distance traveled is:
D=d+d+15
D=65 miles
For this case we can model the problem as a rectangle triangle.
We have:
Length of the sides of the triangle.
We want to find:
Length of the hypotenuse.
Using the Pythagorean theorem we have:
Answer:
She is:
miles far from her starting point
Answer:
x = 6
y = 4
Step-by-step explanation:
Let the two numbers be x and y
<u><em>Condition 1:</em></u>
7x+3y = 54 -----------(1)
<u><em>Condition 2:</em></u>
x = 2+y -----------------(2)
<em>Putting (2) in (1)</em>
=> 7(y+2)+3y = 54
=> 7y+14+3y = 54
=> 10y = 54-14
=> 10y = 40
<em>Dividing both sides by 10</em>
=> y = 4
<em>Now putting y = 4 in eq(2)</em>
=> x = 2+4
=> x = 6
Answer:
w = 9.82
x = 66.73
Step-by-step explanation:
By applying tangent rule in triangle ABD,
tan(81°) = 
6.31 = 
w = 
w = 9.82
Similarly,
tan(39°) = 
0.81 = 
0.81 = 
9.82 + x = 
x = 76.56 - 9.82
x = 66.74