Answer:
5 km
Step-by-step explanation:
We are given the distances walked by Maria;
We are required to determine the displacement from her starting point;
- We are going to use Pythagoras's theorem;
a² + b² = c²
Taking, the distances towards south and towards west as the legs of the triangle;
Then, c² = 3² + 4²
= 25
c = √25
= 5 km
Therefore, the displacement from the starting point is 5 km
Answer:
64 cm^2
Step-by-step explanation:
Square: 4*4 = 16
Triangles: 4((4*6)/2))
= 4(24/2)
= 4(12)
= 48
Add the square and triangles together
= 16 + 48
= 64
The total will be 64 cm^2
Answer:
Step-by-step explanation:
4y-4=10x+65, this can be expressed in many ways...
4y-10x-4-65=0
4y-10x-69=0 or
4y=10x+69
y=(10x+69)/4
Answer:
Step-by-step explanation:
we know that
The tangency point on the x-axis is (r,0)
The tangency point on the y-axis is (0,r)
Find the slope of the line containing the points of tangency
Remember that the equation of the line into slope intercept form is equal to
where
m is the slope
b is the y-coordinate of the y-intercept
In this problem we have
substitute
The answer is option "3, 40".
<span>m∠cab = 2x
m∠acb = x + 30
m∠cbd = 5x − 50
Now,
</span>m∠cab + m∠acb = m∠cbd
2x+x+30 = 5x-50
2x+x-5x = -50-30
-2x = -80
x = 40
