Answer:
Andy
Step-by-step explanation:
Ashely rode the caterpillar till the half of her journey. And Andy crawled all the way.
Crawling is twice as fast as riding the caterpillar, so by the time Ashley got to the half of her journey, Andy would have already reached their friends house.
Because then it would be easier to get an answer for a problem
Answer:
2.5km
step-by-step explanation:
half of 5
1)
LHS:
![{a}^{4} \times {a}^{3} \times a \\ = {a}^{4 + 3 + 1} \\ = {a}^{7}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B4%7D%20%20%5Ctimes%20%20%7Ba%7D%5E%7B3%7D%20%20%5Ctimes%20a%20%5C%5C%20%20%3D%20%20%7Ba%7D%5E%7B4%20%2B%203%20%2B%201%7D%20%20%5C%5C%20%20%3D%20%20%7Ba%7D%5E%7B7%7D%20%20)
LHS = RHS. So, the statement is true
2)
LHS:
![{5}^{2} \times {3}^{4} \\ = 25 \times 81 \\ = {5}^{2} \times {9}^{2} \\ = {45}^{2}](https://tex.z-dn.net/?f=%20%7B5%7D%5E%7B2%7D%20%20%5Ctimes%20%20%7B3%7D%5E%7B4%7D%20%20%5C%5C%20%20%3D%2025%20%5Ctimes%2081%20%5C%5C%20%20%3D%20%20%7B5%7D%5E%7B2%7D%20%20%5Ctimes%20%20%7B9%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%20%20%20%7B45%7D%5E%7B2%7D%20)
LHS not equal to RHS. So, the statement is false
3)
LHS:
![{x}^{6} \times {x}^{0} \times {x}^{2} \times {x}^{3} \\ = {x}^{6 + 0 + 2 + 3} \\ = {x}^{11}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B6%7D%20%20%5Ctimes%20%20%7Bx%7D%5E%7B0%7D%20%20%5Ctimes%20%20%7Bx%7D%5E%7B2%7D%20%20%5Ctimes%20%20%7Bx%7D%5E%7B3%7D%20%20%5C%5C%20%20%3D%20%20%7Bx%7D%5E%7B6%20%2B%200%20%2B%202%20%2B%203%7D%20%20%5C%5C%20%20%3D%20%20%7Bx%7D%5E%7B11%7D%20)
LHS = RHS. So, the statement is true.
4)
LHS:
![7 {m}^{2} \times 2m \times 4 {m}^{5} \\ = (7 \times 2 \times 4) {m}^{2 + 1 + 5} \\ = 56 {m}^{8}](https://tex.z-dn.net/?f=7%20%7Bm%7D%5E%7B2%7D%20%20%5Ctimes%202m%20%5Ctimes%204%20%7Bm%7D%5E%7B5%7D%20%20%5C%5C%20%20%3D%20%287%20%5Ctimes%202%20%5Ctimes%204%29%20%7Bm%7D%5E%7B2%20%2B%201%20%2B%205%7D%20%20%5C%5C%20%20%3D%2056%20%7Bm%7D%5E%7B8%7D%20)
LHS = RHS. So, the statement is true.
Answer:
x = 4.3
Step-by-step explanation:
![cos 21 = \frac{adjacent}{hypotenuse} = \frac{4}{x}\\\\x = \frac{4}{cos21} = 4.28](https://tex.z-dn.net/?f=cos%2021%20%3D%20%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20%3D%20%5Cfrac%7B4%7D%7Bx%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B4%7D%7Bcos21%7D%20%3D%204.28)
x= 4.3