Answer: ![t=\frac{17}{v}+\frac{12}{v-2}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B17%7D%7Bv%7D%2B%5Cfrac%7B12%7D%7Bv-2%7D)
Step-by-step explanation:
Given: A tourist first walked 17km with a speed of v km/h.
Since ![Speed=\frac{distance}{time}](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%7Bdistance%7D%7Btime%7D)
therefore, ![Time=\frac{distance}{speed}](https://tex.z-dn.net/?f=Time%3D%5Cfrac%7Bdistance%7D%7Bspeed%7D)
Let
be the time he walked with speed v.
then ![t_1=\frac{17}{v}](https://tex.z-dn.net/?f=t_1%3D%5Cfrac%7B17%7D%7Bv%7D)
Also he hiked 12 km uphill with the speed that was 2 km/hour less than his original speed.
Let
be the time he hiked 12 km,
Then ![t_2=\frac{12}{v-2}](https://tex.z-dn.net/?f=t_2%3D%5Cfrac%7B12%7D%7Bv-2%7D)
The total time for the whole trip is given by:-
![t=t_1+t_2=](https://tex.z-dn.net/?f=t%3Dt_1%2Bt_2%3D)
Substitute the values of
and
in the equation, we get
![t=\frac{17}{v}+\frac{12}{v-2}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B17%7D%7Bv%7D%2B%5Cfrac%7B12%7D%7Bv-2%7D)
Cos Z = 32/40 => Z= cos-¹(32/40) =>
sin Z = sin (cos-¹(32/40)) = 3/5
1/3(12x-24)=16
*3 *3
12x-24=48
+24 +24
12x=72
/12 /12
x=6
Answer:
solution given :
<A=?
<B=50°
<C=50°
if it is a triangle:
<A+<B+<C=180°( sum of interior angle of a triangle is 180°)
<A=180-50-50
<A=80°
<<u>A=</u><u>8</u><u>0° is a required answer.</u>
Answer:
(x - 3)(x² + 4)
Step-by-step explanation:
x³ - 3x² + 4x - 12 ( factor first/second and third/fourth terms )
= x²(x - 3) + 4(x - 3) ← factor out (x - 3 from each term
= (x - 3)(x² + 4)