Answer:
97.98
Step-by-step explanation:
The area of the parallelogram PQR is the magnitude of the cross product of any two adjacent sides. Using PQ and PS as the adjacent sides;
Area of the parallelogram = |PQ×PS|
PQ = Q-P and PS = S-P
Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)
PQ = (4,-5,3) - (0,0,0)
PQ = (4,-5,3)
Also, PS = S-P
PS = (8,-12,4)-(0,0,0)
PS = (8,-12,4)
Taking the cross product of both vectors i.e PQ×PS
(4,5,-3)×(8,-12,4)
PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k
PQ×PS = -16i - 40j -88k
|PQ×PS| = √(-16)²+(-40)²+(-88)²
|PQ×PS| = √256+1600+7744
|PQ×PS| = √9600
|PQ×PS| ≈ 97.98
Hence the area of the parallelogram is 97.98
Answer:
937.5
Step-by-step explanation:
2500-(1250+312.5)
So the graph shows the cost of the phone call on the y-axis and the length of the phone call on the x-axis.
The question ask is what is the least expensive per minute.
So your equation is cost/time.
Then you plug in the values of each point.
w=$1.25/2 minutes
x=$2/5 minutes
y=$2/10 minutes
z=$2.50/10.5 minutes
Solve each question-
w=0.63 (rounded)
x=0.4
y= 0.2
z=0.24 (rounded)
These values show the cost per minute of each point. So, in order the answer the question which one cost the least per minute you would select the lowest value answer from the question of each point. Which would be y.
She has been with her book club for 49 months.
Step-by-step explanation:
Books read = 12 books
Time period = 7 months
Therefore,
12 books = 7 months
1 book = 
Books read so far = 84 books
Total time period = x
84 books = x months
1 book = 
Using both unit rates;
She has been with her book club for 49 months.
Keywords: Unit rates, multiplication
Learn more about multiplication at:
#LearnwithBrainly
Answer:
D)
A = x(x + 4)
Step-by-step explanation:
Area of a rectangular map = width × length
Length of the rectangular map = (x + 4) miles
Width of the rectangular map = x miles
Area of a rectangular map = width × length
= x(x + 4)
= x² + 4x
D)
A = x(x + 4)
