Answer:
121 km\hr
Step-by-step explanation:
displacement=speed÷time
then. speed = displacement×time
= 22 × 5.5
= 121 km\hr
Answer:
By the time she achieves her 26 mile goal Andrea will have run 176 miles.
Step-by-step explanation:
Since Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon and she decides to add 2 miles each day to her distance until she achieves her goal, to determine, if she starts with 6 miles today, how many miles will she have run in total, by the time she achieves her 26 mile goal the following calculation should be performed:
6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 = X
14 + 22 + 30 + 38 + 46 + 26 = X
36 + 68 + 72 = X
36 + 140 = X
176 = X
So, by the time she achieves her 26 mile goal Andrea will have run 176 miles.
Answer:
Step-by-step explanation:
Given expression is,

To prove this identity we will take the right side of the identity,


![=\frac{1}{2}[\frac{2(1-\text{tan}^2\frac{A}{2})}{2tan\frac{A}{2}}]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5B%5Cfrac%7B2%281-%5Ctext%7Btan%7D%5E2%5Cfrac%7BA%7D%7B2%7D%29%7D%7B2tan%5Cfrac%7BA%7D%7B2%7D%7D%5D)
[Since
]
= cot A
Hence right side of the equation is equal to the left side of the equation.
Answer:
v = 2√2i -2√2j
Step-by-step explanation:
v = ||v||·cos(θ)i +||v||·sin(θ)j
v = 4cos(315°)i +4sin(315°)j . . . . . . fill in the numbers
v = 2√2i -2√2j . . . . . . . . . . . . . . . put in desired form
Answer:
(4z-5a)(2xy)
Step-by-step explanation:
8xyz-10axy
Check for similar terms/like terms
x and y are the same.
The hcf or highest common factor is 2.
The z and a are not common in both terms.
Factor.
8xyz-10axy
2xy(4z-5a)
(4z-5a)(2xy)