Answer:
<em>1+√3</em>
Step-by-step explanation:
Area of the triangle = 1/2 * base * height
Area of the triangle = 1/2 * AC * BD
We need to get AC
AC = AD+DC
Get base AD using SOH CAH TOA
tan 45 = 4/AD
AD = 4/tan45
AD = 4/1
AD = 4
Get DC
tan 30 = 4/DC
DC = 4/tan 30
DC = 4/(1/√3)
DC = 4√3
AC = 4 + 4√3
AC = 4(1+√3)
Get the Area of the triangle
<em>Area = 1/2 * 4 * 4(1+√3)</em>
<em>Area of the triangle = 1+√3</em>
Answer:
Total savings = $63 + 12 ( m)
: m = number of driveways shoveled
Step-by-step explanation:
Here, the money earned for each road David shovels = $15
The number of driveway shoveled by David = 12
The total money saved David has after he is done with his work = $243
Now, The number of money saved by shoving 12 driveways
= 12 x ( Money earned by shoveling 1 driveway)
= 12 x ( $15) = $ 180
Total savings = His previous savings + Money earned from Shovel work
⇒ $243 = His previous savings + $ 180
⇒ His previous savings = $243 - $180 = $63
Now, we can write his total savings as:
Total savings = $63 + 12 ( m)
: m = number of driveways shoveled
Answer:
15 km/h
Step-by-step explanation:
To find the speed, divide the total number of kilometers by the total number of hours:
Find the total number of hours:
32 + 13
= 45
Divide this by 3:
45/3
= 15
So, the average speed was 15 km/h
Permutations and Every runner except for the one that was 1st could be 2nd hoep this helps