Answer:
= 94
Step-by-step explanation:
To work out the multiplier, first add or subtract the percentage from 100, then convert to a decimal. Example: we want to add 20% to £110. To work out the multiplier, add 20 to 100, to get 120, and then change it to a decimal (divide by 100) to get 1.2. The answer is £110 x 1.2 = £132.
so to workout an increase of 9% followed by 3% we would do:
9% - 3% = 6%. convert = 0.06 = 100-6 = 94 converted into 0.94 x 100 = 94
Answer:
a) BD = 5
b) FD = 13
Step-by-step explanation:
For both questions we follow pythagoras therom.
For the first one we do 3^2 +4^2 = 25 and then we root this answer to 5
For the second we have to find the base of GD in order to find FD. GD will be 4^2+12^2 which equals to 160 and then you root.
Finally, we can find FD which is sqaure root of 160^2 + 3^2 = 169. The square root of 169 is 13. Answer is 13.
<u>Given:</u>
Take west to be the positive direction. The height of a sloped roof above the place where you stand is 12 feet. If you move 3 feet west, the height is 10 feet.
We need to determine the slope.
Let x denote the standing place.
Let y denote the height.
Writing the given as coordinates, we get;
(0,12) and (3,10)
<u>Slope</u>:
The slope can be determined using the formula,

Substituting the coordinates (0,12) and (3,10), we have;


Thus, the slope is 
Given that x is 34° more than its complement y. Hence, measure of the supposed angle is 107°.