It took her 45 minutes to rest and it to her 45 minutes to bike the initial 8 miles. or .75 hours for both
Answer:
![\sf x=\boxed{18.21}](https://tex.z-dn.net/?f=%5Csf%20x%3D%5Cboxed%7B18.21%7D)
Step-by-step explanation:
Assuming this is a right triangle.
<u>Trigonometric ratios</u>
![\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}](https://tex.z-dn.net/?f=%5Csf%20%5Csin%28%5Ctheta%29%3D%5Cdfrac%7BO%7D%7BH%7D%5Cquad%5Ccos%28%5Ctheta%29%3D%5Cdfrac%7BA%7D%7BH%7D%5Cquad%5Ctan%28%5Ctheta%29%3D%5Cdfrac%7BO%7D%7BA%7D)
where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse
Given:
= 35°- O = x
- A = 26
![\implies \sf \tan(35^{\circ})=\dfrac{x}{26}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20%5Ctan%2835%5E%7B%5Ccirc%7D%29%3D%5Cdfrac%7Bx%7D%7B26%7D)
![\implies \sf x=26\tan(35^{\circ})](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20x%3D26%5Ctan%2835%5E%7B%5Ccirc%7D%29)
![\implies \sf x=18.20539599...](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20x%3D18.20539599...)
Therefore, x = 18.21 (nearest hundredth)
Answer:
Step-by-step explanation:
Hhhh
Do you want 5 and 6 or just 5? 5 is kind of neat.
44.5% = 0.445
4/9 = 0.4444444
You have enough information to put the numbers in order.
0.44 is the smallest number.
0.44444444.... is the next smallest number
0.4445 is bigger than the number above. 5 is in the ten thousandths place. that is bigger than 4 in the thousands place of 4/9
Finally the largest number of all is 0.445 for the same reason given above.
Six
5/12 = 0.416666
0.4
42% = 42/100 = 0.42
0.416
0.4 is the smallest number
0.416 is the next smallest number
0.41666666 is bigger than 0.416 because you are adding a bunch of 6s onto the decimal place.
The largest one is 0.42. You can put these into your calculator to verify the results. For example, 0.42 - 0.4166666 = 0.003344. Any result more than 0 will show that the first number is bigger than the second.
The answer is 692.857143
Hope this helps! :)