Answer:
steps below
Step-by-step explanation:
3.2.1 AD = DB* sin 2 = DB * sin θ .. DE // AB ∠2= θ ... (1)
By laws of sines: DB / sin ∠5 = x / sin ∠4
∠4 = θ-α ∠5 = 180°-<u>∠1</u>-∠4 = 180°-<u>∠3</u>-∠4 = 180°-(90°-θ)-(θ-α)) = 90°+α
DB = (x*sin ∠5)/sin (θ-α)
= (x* sin (90°+α)) / sin (θ-α)
AD = DB*sinθ
= (x* sin (90°+α))*sinθ / sin (θ-α)
= x* (sin90°cosα+cos90°sinα)*sinθ / sin (θ-α) .... sin90°=1, cos90°=0
= x* cosα* sinθ / sin (θ-α)
3.2.2 Please apply Laws of sines to calculate the length
Answer:
During cool or cold weather episodes, fuel must be consumed to make buildings comfortable living spaces. A useful indicator of fuel consumption for heating purposes is the determination of heating degree-days. They are calculated by accumulating one heating degree-day (HDD) unit for each Fahrenheit degree the daily mean (average) temperature is below the base value of 65°F (18°C). For example, a day with a maximum temperature of 60°F and a minimum of 40°F has a mean temperature of 50°F. Subtracting 50 from 65 yields 15 heating degree-day units for that day. Hence, a day with a high temperature of 45°F and a low of 25°F produces ______ HDDs.
She boils 500 L of water and makes 80 grams, we are being asked to covert and solve for how many grams of pasta she will make if she boils 2500 mL.
The first think we need to do is convert 2500 mL to how many Liters.
2500 mL = ? how many liters.
2500 ml = 2.5 liters
Now, we need to set up a proportion to see how many grams we can make if we boiled 2.5 liters of water.
Set up a proportion.
500/80 = 2.5/x
First, we cross multiply.
500*x = 80*2.5
500x = 200
Now, divide each side by 500 to solve for x.
500x/500 = 200/500
x= 0.4
Final answer: Margo can make 0.4 grams of pasta if he boils 2500 mL of water.
Let her score on her math test be y and the number of hours a week that she plays video games be x,
y = k/x
73.6 = k/10
k = 736
y = 736/x
y = 736/8
y = 92
She can expect a score of 92 on her math test if she plays video games for only 8 hours a week.
Answer:
sin (A) = opposite / hypotenuse = BC / AB = 3/5
tan (A) = opposite / adjacent = BC / AC = 3/4
sec (A) = hypotenuse / adjacent = AB / AC = 5/4
Step-by-step explanation:
