Answer:
Step-by-step explanation:
we will multiply first
-4x+16=12
-4x=12-16
-4x=-4
x=1
SOH CAH TOA
sin(P) = opp./hyp. = 5/13
tan(T) = opp./adj. = 12/5
cos(T) = adj./hyp. = 5/13
Answer:
The field is 100 yards wide.
Step-by-step explanation:
Given that the relationship between the length and width of the rectangular field is 3 to 2, and that said field is 150 yards long, the following calculation must be performed to determine its width:
((150/3) x 2) = X
50 x 2 = X
100 = X
Thus, the common largest divisor between both numbers is obtained, and the relationship from 3 to 2 is established based on said number. Therefore, the rectangular field is 100 yards wide by 150 yards long.
Answer: ∠A= 
Step-by-step explanation:
Since we have given that
CD bisects m∠ACB,
⇒ m∠ACD= m∠DCB =x (say)
And, AB=BC, m∠BEC=90°, and m∠DCE=42°
So,
m∠CAD=m∠ACD
In ΔDCE,
Now, in ΔACD,
Hence , ∠A=
First is solve the total volume of punch they made. but convert first the 5 L to ml.
for every 1 L there 1000 ml, 5 L ( 1000 ml / 1 L ) = 5000 ml of punch
V = 5000 ml + 750 ml
V = 5750 ml
then number of 180 ml serving
n = 5750 / 180 = 31.94 or about 31 servings of 180 ml was made.
the punch left over
v = 5750 - 180( 31) = 170 ml of the punch is left
