Answer:
0.25
Step-by-step explanation:
-2 + 2= 0
-0.25 + 0.5= 0.25
Answer:
a.
i. 11
ii. 26
iii. 501
iv. 3.5
v. 5a+1
vi. 5k+6
b. x = 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
a function with a graph that is a non-vertical straight line, which can be represented by a linear equation in the form of y = mx + b
“Keep, Change, Flip” so keep the 4/5 then change the •|• and then flip the last fraction to 5/1 and then multiply the fractions like normal
The points C and D are 13.8173 meters apart.
Step-by-step explanation:
Step 1:
Assume the distance between points C and D is x. So the distance from B to D is (x + 24) m.
In the triangle, the given angle is 48°, the opposite side, AB's length is 42 meters. The adjacent side's length is (24 + x) meters. To determine the x's length, we determine the tan of the angle. To calculate the tan of an angle, we divide the opposite side's length by the adjacent side's length.
![tan \theta = \frac{oppositeside}{adjacent side}.](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%20%5Cfrac%7Boppositeside%7D%7Badjacent%20side%7D.)
Step 2:
The length of the opposite side = 42 meters.
The length of the adjacent side = (24 + x) meters.
![tan \theta = \frac{oppositeside}{adjacent side}, tan 48 = \frac{42}{24+x}, tan 48 = 1.1106.](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%20%5Cfrac%7Boppositeside%7D%7Badjacent%20side%7D%2C%20tan%2048%20%3D%20%5Cfrac%7B42%7D%7B24%2Bx%7D%2C%20tan%2048%20%3D%201.1106.)
![1.1106 (24+x) = 42, 26.6544 + 1.1106x = 42.](https://tex.z-dn.net/?f=1.1106%20%2824%2Bx%29%20%3D%2042%2C%2026.6544%20%2B%201.1106x%20%3D%2042.)
![1.1106x = 42 - 26.6544 = 15.3456, x = \frac{15.3456}{1.1106} = 13.8173.](https://tex.z-dn.net/?f=1.1106x%20%3D%2042%20-%2026.6544%20%3D%2015.3456%2C%20x%20%3D%20%5Cfrac%7B15.3456%7D%7B1.1106%7D%20%3D%2013.8173.)
So the distance between C and D is 13.8173 meters.