Answer:
Distance between Ryan home and mountain will be 252 miles
Explanation:
Let the distance from home to mountains is d
It is given that it took 7 hours to go mountains from home
Let the speed in going to mountain is v
Then according to question speed in coming from mountain is v+27
And time taken in come from mountain to home is hour
As distance will be same in both case
Distance will be equal to 
So 

v = 36 miles per hour
So distance will be equal to 
The direction of this vector is 170° from the positive x-axis.
- Vectors are physical quantities with both magnitude and direction
- To identify the direction, we usually use angles and take a reference axis
- The vector in the diagram is 80° to the left of the positive y-axis, so the direction of the vector is 80° + 90° = 170° anti-clockwise from the positive x-axis.
- Scalars are physical quantities which have only magnitude
- Examples of vector quantities are displacement, velocity, acceleration, force etc
- Examples of scalar quantities are distance, speed, volume, density, mass, time etc
- The direction of the given vector is 170° from the positive x-axis.
Learn more about vectors here:
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Answer:
a) 6.4 x 10^-12 cm^3
b) 17 x 10^-6 mm^2
Explanation
a). The shape is assumed to be spherical The volume = volume of a sphere = \frac{4}{3} \pi r^3
3
4
πr
3
V = \frac{4}{3}*3.142* 1.15^3
3
4
∗3.142∗1.15
3
= 6.3715 μm^3
1 μm^3 = 10^-12 cm^3
6.3715 μm^3 = 6.3715 x 10^-12 cm^3
==> 6.4 x 10^-12 cm^3