<span>Replace tan θ with sin θ/cos θ
= sin²θ/cos θ + cos θ
Now multiply the right-hand side by cos θ/cos θ to get the same denominator:
= sin²θ/cos θ + cos²θ/cos θ
= (sin²θ + cos²θ)/cos θ
The numerator is equivalent to 1:
= 1 / cos θ
= sec θ</span>
All you have to do is the amount she bought divided by 0.05 and then add the answer you get to the amount she bought each time
Answer: 12.1 meters
Step-by-step explanation:
This is a rectangular fence so it represents a rectangle.
Fencing the garden will require going around it therefore you are looking for the perimeter.
Perimeter of a rectangle = (2 * Length) + ( 2 * Width)
= (2 * 315) + ( 2 * 290)
= 1,210 cm
Convert to meters:
A meter is 100 centimeters
= 1,210 / 100
= 12.1 meters
Answer:
The width of the actual pool is 12 meters
Step-by-step explanation:
You can put Kiara's scale into a ratio or fraction to help visualize it better: 13/6. Now, let's put what we do know for the other ratio into a fraction. we know that the pool is 26 centimeters wide, and since the 26 matches with the 13, that goes in the numerater. since we don't know the denominator, we can just put 26/x (you can use whatever letter you like but I'll use x here)
So in order to get 13/6 to 26/x, we need to find how to figure out what we are doing to the original fraction. Since 13 x 2= 26, it looks like we are multiplying the ratios by 2. Now that we know that, we can multiply the denominator (6) by 2 to equal 12, our answer.
Hope this helps :)