Answer: A. 31.5
Step-by-step explanation:
Using law of cosine because it is side angle side
a=16
b=21
angle = 116
c^2=a^2+b^2-2ab cosC, let C be the angle given
c^2=(21)^2+(16)^2-2(16)(21) cos(116)
c^2=441+256-672 cos(116)
i used a ti-89 and answered the right side and got
(you can find a ti-89 simulator online, but for problems like this make sure it is in degree mode)
991.585
c^2=991.585
take square root of both sides
=31.4894, which if you round it up it would be 31.5, so the answer would be A
therefore:
a=16
b=21
c=31.5
Answer:
Use the distance formula to determine the distance between the two points.
Distance
=
√(x2−x1)^2 + (y2−y1)^2
Substitute the actual values of the points into the distance formula.
√ ( (−6) − 0)^2 +( (−3) − 4)^2
Subtract 0 from −6
√(−6)^2 + ( ( −3 ) −4 )^2
Raise −6 to the power of 2
√36 + ( ( −3 ) −4 )^2
Subtract 4 from −3
√36 + ( −7 )^2
Raise −7 to the power of 2
√ 36 + 49
Add 36 and 49
√85
Answer:
Step-by-step explanation:
No but if you copy and paste the question to me i can get you the answers :)
A) 15% of $32.00 is $4.80.
B) all together he will be paying $36.80.
i hope this helped, good luck!
Answer:Jada will get same shade as Perfect Purple Water
Step-by-step explanation:
STEP 1
To get the right recipe for Perfect purple water, every new mixture must have an equivalent ratio as the ideal mixture
The ideal mixture is given as
8ml blue water and 3 ml red water.
Step 2
Andre mixes 16ml blue water with 9ml red water
is not equivalent to 
Because dividing Andre's mixture by a common value will not give the equivalent ratio of the ideal recipe
=
Jada mixes 24ml blue water with 9ml red water
is equivalent to 
Because dividing Jada's mixture by a common value gives the equivalent ratio of the ideal recipe
=
This shows that Jada got the right recipe and will get same shade as Perfect Purple Water but in a higher quantity, 3 times the right recipe for Perfect Purple Water