Answer:
sin 33° = 0.545
Step-by-step explanation:
complementary angle to 57° is 33°
sin 33° = 0.545
Answer:
Step-by-step explanation:
kira spent: 15 h TV/12 h Read so the ratio is 15/12=5/4
charlie had a ratio of 20/16=5/4
choice C , ratios are equal
Answer:
The vector that describes their hike from their starting position to their final destination is
.
Step-by-step explanation:
In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:
(i) <em>A group of hikers walks 3 miles east and then 1 mile north:</em>
![\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r_%7BA%7D%20%3D%203%5C%2C%5Chat%7Bi%7D%2B1%5C%2C%5Chat%7Bj%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
(ii) <em>After taking a break, they then hike 4 miles east to their final destination:</em>
![\vec r_{B} = 4\,\hat{i}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r_%7BB%7D%20%3D%204%5C%2C%5Chat%7Bi%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:
(1)
![\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r%20%3D%20%283%5C%2C%5Chat%7Bi%7D%2B1%5C%2C%5Chat%7Bj%7D%29%2B4%5C%2C%5Chat%7Bi%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
![\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r%20%3D%207%5C%2C%5Chat%7Bi%7D%2B1%5C%2C%5Chat%7Bj%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
The vector that describes their hike from their starting position to their final destination is
.
An
Step-by-step explanation:
We are given the equation or function <span> y = sqrt (2x + 1). The derivative of the equation is expressed as
</span><span>1. dy/dt = 0.5 *2 *(2x + 1)^-0.5 dx/dt
</span>when x = 4 and dx/dt =3
dy/dt = 0.5 *2 *3*(2*4 + 1)^-0.5
dy/dt = 1
2. <span>dy/dt = 0.5 *2 *(2x + 1)^-0.5 dx/dt
</span><span> If dy/dt = 5, find dx/dt when x = 12.
</span><span> 5= 0.5 *2 (2*12 + 1)^-0.5 dx/dt
dx/dt = 1 </span>