This is the concept of relative speed; We are required to calculate the speed of the car and the bicycle.
Distance between the car and Bicycle=374 miles
Time they met=5.5 hr
Speed traveled by bicycle=x
Speed traveled by car=x+33.4334
Relative speed=x+(x+33.4334)=(2x+33.4334) mph
Distance=speed*time
374=(2x+33.4334)*5.5
374=11x+183.8837
collecting like term we get:
374-183.8837=11x
11x=190.1163
thus;
x=(190.1163)/(11)
x=17.2833 mph
thus the speed of the bicycle was x=17.2833 mph
The speed of the car was (x+33.4334)=(17.2833+33.4334)=50.7167 mph
Answer:
The kinetic energy will increase.
Step-by-step explanation:
1/2*80*9=360J .After the acceleration, it will increase to 1/2*80*36=1440J
First you simplify the fraction and variables inside the root. Reduce 126/32 and use exponent rules for dividing variables(subtract the exponents). This will give you,
![\sqrt{ \frac{63 {y}^{5} }{16 {x}^{2} } }](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B63%20%7By%7D%5E%7B5%7D%20%7D%7B16%20%7Bx%7D%5E%7B2%7D%20%7D%20%7D%20)
Then move onto the root. Using radical properties you take the root of the numerator and denominator seperately. Since the root of the numerator is not a rational number or perfect square it stays as,
![\sqrt{63 {y}^{5} }](https://tex.z-dn.net/?f=%20%5Csqrt%7B63%20%7By%7D%5E%7B5%7D%20%7D%20)
Altogether the new equation will be this,
![\frac{ \sqrt{63 {y}^{5} } }{4x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B63%20%7By%7D%5E%7B5%7D%20%7D%20%7D%7B4x%7D%20)
You can still simplify this further by reducing the radical in the numerator.
You prime factor it to give you 7×9 = 63 which lets you factor out a 3. You can also factor out 4 of the y variables. Breaking down the numerator you get this.
![\sqrt{ {3}^{2} } \sqrt{ {y}^{4} } \sqrt{7y}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%7B3%7D%5E%7B2%7D%20%7D%20%20%5Csqrt%7B%20%7By%7D%5E%7B4%7D%20%7D%20%20%5Csqrt%7B7y%7D%20)
Which simplifies to,
![3 {y}^{2} \sqrt{7y}](https://tex.z-dn.net/?f=3%20%7By%7D%5E%7B2%7D%20%20%5Csqrt%7B7y%7D%20)
Your final simplest form equation is,
1) Corresponding angles
2) Alternate angles
Answer:
⊂◉‿◉つHi its 37
Step-by-step explanation:
Hope this helps :)