Answer:
![r = 19.0\ ft](https://tex.z-dn.net/?f=r%20%3D%2019.0%5C%20ft)
Step-by-step explanation:
Given
![Area = 1138ft^2](https://tex.z-dn.net/?f=Area%20%3D%201138ft%5E2)
![\pi = 3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D%203.14)
Required
Determine the radius of the circle
The area is calculated using;
![Area = \pi r^2](https://tex.z-dn.net/?f=Area%20%3D%20%5Cpi%20r%5E2)
Substitute for Area and π
![1138 = 3.14 * r^2](https://tex.z-dn.net/?f=1138%20%3D%203.14%20%2A%20r%5E2)
Make r the subject
![r^2 = \frac{1138}{3.14}](https://tex.z-dn.net/?f=r%5E2%20%3D%20%5Cfrac%7B1138%7D%7B3.14%7D)
![r^2 = 362.420382166](https://tex.z-dn.net/?f=r%5E2%20%3D%20362.420382166)
![r = \sqrt{362.420382166}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B362.420382166%7D)
![r = 19.0373417831](https://tex.z-dn.net/?f=r%20%3D%2019.0373417831)
<em>--- </em><em>Approximated</em>
A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). It can be written as a fraction in which the the top number (numerator) is divided by the bottom number (denominator).
By comparing the right triangle ABC with the triangle XYZ, we will see that:
<h3>
How to find the given segments?</h3>
So we know that the largest triangle is a dilation of scale factor 2 of the smaller one.
Also, remember that for right triangle we have the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Now, the problem tells us that:
tan(x) = 5/2.5
For the angle x, the adjacent cathetus is XY, and the opposite cathetus is YZ.
Then we have:
YZ = 5
XY = 2.5
Knowing that the correspondent sides in the larger triangle will be 2 times the above ones, we can see that:
AC = 2*XY = 2*2.5 = 5
CB = 2*YZ = 2*5 = 10
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
Answer:
6√2
Step-by-step explanation:
According to the question
The equation is
Sin(45°)=6/x
√2/2=6/x
√2x=12
x=12/√2
x=12×√2/√2²
x=12×√2/2
x=6√2
Distance can’t be negative so add the distance and it’s 19m time is 11min distance/time is velocity her velocity was 1.72m/min