Answer:
576
Step-by-step explanation:
calculator
Answer:
Each of them spent $9.35 on meal.
Step-by-step explanation:
Jacob and his three friends ordered an individual pizza and a drink for $6.19.
Total cost of pizza and drink = 6.19 × 4
= $24.76
They also ordered bread sticks for $4.25
Tax on the bill was = $2.39
Tip amount was = $1.50×4 = $6.0
So the total billed amount will be = 24.76 + 4.25 + 2.39 + 6
= $37.4
Since there were four persons including Jacob.
Therefore, each person spend on meal = 
= $9.35
Use cosine rule,
cos(A)=(b^2+c^2-a^2)/(2bc)
=(10^2+12^2-6^2)/(2*10*12)
=13/15
A=29.926 degrees.................................(A)
cos(B)=(c^2+a^2-b^2)/(2ca)
=(12^2+6^2-10^2)/(2*12*6)
=5/9
B=56.251 degrees.................................(B)
cos(C)=(a^2+b^2-c^2)/(2ab)
=(6^2+10^2-12^2)/(2*6*10)
=-1/15
C=93.823 degrees.................................(C)
Check:29.926+56.251+93.823=180.0 degrees....ok
Answer:
B'(16,14)
Step-by-step explanation:
First find the coordinates of the vertex B. The center of the square M is the midpoint of the diagonal AC. Since A(2,7) and C(8,1), the center has coordinates

Point M is also the midpoint of the diagonal BD. Let B has coordinates (x,y), then

Hence, B(8,7).
Now, the dilation by a scale factor 2 with the center of dilation at the origin has the rule
(x,y)→(2x,2y).
Thus,
B(8,7)→B'(16,14).