H is the altitude of a right triangle, so h²=AD*DC=(20-4)*4=64
h=√64=8
D is the correct answer.
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
we can find angle C b/c the angles of a triangle always add to 180 , soo
180= C + 81 +63.5
35.5 = C
now that we have angle C and we know the Hyp we can use sin to find side g
where g = Opp and Hpy = 13.8 for this question
Sin(35.5) = Opp / 13.8
13.8*Sin(35.5) = Opp
8.0137 = Opp
g = 8.0137
next they ask for the area of the biggest triangle ABC ( there are two smaller ones when you use D )
we can use 1/2 * base * height , but we don't know the base yet, even thou we do know the height.
we can solve for line segment CD and DB and then add them for the side a .. or the base of the biggest triangle sooo.. CD = adj
Cos(35.5) = Adj / 13.8
13.8*Cos(35.5) = Adj
11.234794 =Adj
now solve for DB using cos again but with the other smaller triangle where Adj = DB now
Cos(63.5) = Adj / 8.9
8.9*Cos(63.5) = Adj
3.971160
add these two Adjs together to get the total 'a' side
15.205954
now plug in side a as the base and g as the height of our biggest triangle
Area = 1/2 * 15.205954 * 8.0137
Area = 60.9159
rounded to 2 sig figs
Area = 60.92 :) hope you get an "A" :P
Answer: I think 10
Step-by-step explanation: cuz area is length x height and basically you just do square root of 100 Bc thags a square so the sides should be equal
Answer:
<u>750 mL</u>
Step-by-step explanation:
<u>Unit Conversion Rate</u>
- 1 Liter (L) = 1000 Milliliters (mL)
<u>Solving</u>
- 1 x 0.75 L = 1000 x 0.75 mL
- 0.75 L = <u>750 mL</u>
The theoretical probability is the probability you'd expect before performing the experiment. So, assuming the die is fair, every outcome has the same probability. Since there are 6 numbers on the die, every number appears, theoretically, with probability 1/6.
The experimental probability is the probability you estimate after performing the experiment. You divide the number of cases a certain outcome happened, and divide by the total number of trials.
In this case, you performed 50 rolls, and the die landed on six 12 times. This means that the experimental probability is 12/50, or 6/25.