Answer:
Speed of hike = 1.7 miles per hour
Step-by-step explanation:
Given:
Total distance = 8 miles
Distance already traveled = 4.6 miles
Total time remain to travel = 2 hour
Find:
Speed of hike
Computation:
Distance remain = Total distance - Distance already traveled
Distance remain = 8 miles - 4.6 miles
Distance remain = 3.4 miles
Speed of hike = Distance remain / Total time remain to travel
Speed of hike = 3.4 / 2
Speed of hike = 1.7 miles per hour
Answer:
13.5
18.1
72.2
12.8
6,2
66.1
49.1
14
31.8
Step-by-step explanation:
In solving this question, remember the annotation SOHCAHTOA
1. We are given the value of the hypotenuse and we are to determine the value of the adjacent side. COS would be used to determine this value
Cos 26 = Adjacent / hypotenuse
cos 26 = x / 15
x / 15 =0.8988
x = 15 x 0.8988 = 13.5
2. We are given the value of the hypotenuse and we are to determine the value of the opposite side. SIN would be used to determine this value
Sin = opposite / hypotenuse
sin 49 = x / 24
0.7547 = x / 24
x = 0.7547 x 24
x = 18.1
3. We are given the value of the opposite side and we are to determine the value of the adjacent side. TAN would be used to determine this value
Tan = opposite / adjacent
tan 14 = 18 /x
18 / 0.2493 = 72.2
4. We are given the value of the adjacent and we are to determine the value of the hypotenuse side. COS would be used to determine this value
cos 67 = opposite / hypotenuse
0.3907 = 5/x
x =5/ 0.3907 = 12.8
to determine the missing angle
7. tan^-1 = opposite / adjacent
8. cos^-1 = adjacent / hypotenuse
9 = sin^-1 = opposite / hyotensue
Answer:
x = sqrt(105)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
16^2 + x^2 = 19^2
256 + x^2 = 361
x^2 = 361 -256
x^2 =105
Take the square root of each side
sqrt(x^2) = sqrt(105)
x = sqrt(105)
We simply need to subtract 1,222 from 2,345. Once we do that we get 1,223. Hope that helps! :)
