Answer:
The distance is 280 miles
<em></em>
Step-by-step explanation:
Given
When going to the mountain:
Let the speed be x.
When going home:
Required
Determine the distance of the mountains
Distance is calculated as:
When going to the mountains, the distance is:
When going home, the distance is:
It should be noted that, the distance is the same.
So, we have:
Open bracket
Collect Like Terms
Divide both sides by 3
Substitute 35 for x in
<em>The distance is 280 miles</em>
Answer:
Circumference of a circle= 
Step-by-step explanation:
The circumference of any circle is the total length of its boundary which can be calculated by the formula:
Circumference of a circle=
Where 'r' is the radius of the circle
For, the given circle the circumference can be find in terms of 
by putting some value of radius in the formula, which gives the circumference in terms of .
4) fifteen less than y is 32
15 - y= 32
15 - (-17)= 32
two negatives become positive so 15+17= 32
Answer:
C (-6,-8) → C' (6,8)
D (-2,-8) → D' (2,8)
E (-2,-4) → E' (2,4)
F (-6,-4) → F' (6,4)
Step-by-step explanation:
When you rotate a point 180° counterclockwise about the origin, the point A (x,y) becomes A' (-x,-y). So, if the points are positive, they will become negative.
Because all the points are negative, rotating them 180° counterclockwise will make them positive.
Hope that helps.
It is given that
![\csc (\theta)=\frac{\sqrt[]{170}}{10}](https://tex.z-dn.net/?f=%5Ccsc%20%28%5Ctheta%29%3D%5Cfrac%7B%5Csqrt%5B%5D%7B170%7D%7D%7B10%7D)
We know that
![\text{Substitute }\csc (\theta)=\frac{\sqrt[]{170}}{10},\text{ we get}](https://tex.z-dn.net/?f=%5Ctext%7BSubstitute%20%7D%5Ccsc%20%28%5Ctheta%29%3D%5Cfrac%7B%5Csqrt%5B%5D%7B170%7D%7D%7B10%7D%2C%5Ctext%7B%20we%20get%7D)
![\sin (\theta)=\frac{1}{\frac{\sqrt[]{170}}{10}}](https://tex.z-dn.net/?f=%5Csin%20%28%5Ctheta%29%3D%5Cfrac%7B1%7D%7B%5Cfrac%7B%5Csqrt%5B%5D%7B170%7D%7D%7B10%7D%7D)
![\sin (\theta)=\frac{10}{\sqrt[]{170}}](https://tex.z-dn.net/?f=%5Csin%20%28%5Ctheta%29%3D%5Cfrac%7B10%7D%7B%5Csqrt%5B%5D%7B170%7D%7D)
![\sin (\theta)=\frac{\sqrt[]{10}\sqrt[]{10}}{\sqrt[]{17\times10}}](https://tex.z-dn.net/?f=%5Csin%20%28%5Ctheta%29%3D%5Cfrac%7B%5Csqrt%5B%5D%7B10%7D%5Csqrt%5B%5D%7B10%7D%7D%7B%5Csqrt%5B%5D%7B17%5Ctimes10%7D%7D)
![\sin (\theta)=\frac{\sqrt[]{10}}{\sqrt[]{17}}](https://tex.z-dn.net/?f=%5Csin%20%28%5Ctheta%29%3D%5Cfrac%7B%5Csqrt%5B%5D%7B10%7D%7D%7B%5Csqrt%5B%5D%7B17%7D%7D)
![\sin (\theta)=\sqrt[]{\frac{10}{17}}](https://tex.z-dn.net/?f=%5Csin%20%28%5Ctheta%29%3D%5Csqrt%5B%5D%7B%5Cfrac%7B10%7D%7B17%7D%7D)
Hence the required value is
