Answer:
About 11.4
Step-by-step explanation:
There are 3.78541178 liters in a gallon.
Round that up to the nearest 100 and you get 3.8
Multiply 3.8 by 3.
You get 11.4
Answer:
180 is the answer you multiple 6 times 30
Answer:
(√6)/2 square units
Step-by-step explanation:
The area of a triangle is half the magnitude of the cross product of the vectors representing adjacent sides.
QR = (4-3, -1-(-4), -4-(-5)) = (1, 3, 1)
QS = (3 -3, -5-(-4), -6-(-5)) = (0, -1, -1)
The cross product is the determinant ...
![\text{det}\left|\begin{array}{ccc}i&j&k\\1&3&1\\0&-1&-1\end{array}\right|=-2i+j-k](https://tex.z-dn.net/?f=%5Ctext%7Bdet%7D%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C1%263%261%5C%5C0%26-1%26-1%5Cend%7Barray%7D%5Cright%7C%3D-2i%2Bj-k)
The magnitude of this is ...
|QR × QS| = √((-2)² +1² +(-1)²) = √6
The area of the triangle is half this value:
Area = (1/2)√6 . . . . square units
Answer:
There is a group anxiously waiting to start their triathlon. They are in the sand getting ready for the first leg of the race…the swim! They have roped off a rectangle of the beach that is 200 yards long and 10 yards wide. The athletes are packed in trying fighting for the front. If we assume that 10 athletes can occupy 25 square feet, how many triathletes are?
10 yds x 200 yds = 2000 sq yds.
2000 x 9 = 18000 sq ft
18000/25 = 720 sections that are 25 sq ft
720 sections x 10 people/section = 7200 triathletes
Step-by-step explanation:
1 to 4
Step-by-step explanation: