Answer:
314
Step-by-step explanation:
volume of cone = 1/3 * pi * r^2 * h = 1/3 * pi * 5^2 * 12
Answer:
3
Step-by-step explanation:
Answer:
The cab is -1/3 west of north.
( from the starting point it goes 1 block to the north and 3 blocks to the west . Cab is at (-2,-1))
Step-by-step explanation:
It is given that:
A taxicab starts at (1, -2) on the grid.
This implies that the cab will reach at a point (4,-6)
( Since going south means it will go some units down and similarly going east means it will go some units to the right.
Hence, here going 4 blocks south and 3 blocks east means it will go to:
(1,-2) → (1+3,-2-4)=(4,-6) )
This means that the cab will drop the passenger at (-2,-1)
Since going north means it will go some units up and similarly going west means it will go some units to the left.
Hence, here going 6 blocks west and 5 blocks north means it will go to:
(4,-6) → (4-6,-6+5)=(-2,-1) )
Hence, the end point is (-2,-1)
Now the slope of the line joining the starting and the end point is:
i.e. line joining (1,-2) and (-2,-1) is:
Hence, the taxicab is -1/3 block west of north.
i.e. from the starting point it goes 1 block to the north and 3 blocks to the west.
i.e. the cab is in west-north direction from the starting point.
Answer:
3 Blocks west, 1 block north
Step-by-step explanation:
The answer is c folk
cubic inches of space available in her luggage. If bracelets cost $7 and take up 3 in of space
and t-shirts are $5 but take 15 in of space, write a system of four inequalities that
model Chloe's possible purchases. Let x = number of bracelets and y = number of t-shirts;
Answer:
x > 0
y >0
7x + 5y ≤ 70
3 x + 15 y ≤ 60
Above system of 4 inequalities is for Chloe's Possible purchases.
Step-by-step explanation:
The total budget of spending = $ 70 (maximum)
Total space available = 60 cubic inches
Let x = number of bracelets
y = number of t-shirts
Cost of each bracelet = $7
⇒ cost of x bracelets = x ( $7) = 7x
Cost of each t - shirt = $5
⇒ cost of y t shirts = y ( $5) = 5y
So, the total expenditure on souvenirs = 7x + 5y
Inch of space taken by each bracelet = 3 inches
⇒ Inch of space taken by x bracelets = x (3 inches ) = 3 x
Inch of space taken by each t - shirt = 15 inches
⇒ Inch of space taken by y t shirts = y ( 15) inches = 15 y
So, the total Inch of space taken by souvenirs = 3 x + 15 y
According to the question:
x > 0
y >0
7x + 5y ≤ 70
3 x + 15 y ≤ 60
is the system of 4 inequalities for Chloe's Possible purchases.
y =
x +