Answer:
6 units²
Step-by-step explanation:
The coordinates (1,1) (1,4) (5,1) form a right triangle as shown in the graph below
The base is is (1,1) and (5,1) so the length is 5-1 or 4 units
The height is (1,1) and (1,4) so the height is 4-1 or 3 units
Area of a triangle is given by
A = 1/2 bh
= 1/2 (4*3)
= 1/2 *12
= 6 units^2
Answer:im not sure but it’s 180Cm
Step-by-step explanation:worked it in my head
6 3/4 hours = (6*60)+45 = 405 minutes
7/5 = 1,4
405 minutes * 1,4 = 567 minutes
= Jack spent 9 3/4 hours
Step-by-step explanation:
To get from point (4,4) to (10,10), it is the same as ordering 6 Upward and 6 Right arrows in a straight line.
=> 12C6 = 924.
However there is a restriction that we cannot have 3 Upward and 3 Right arrows as our first 6 arrows.
=> 6C3 * 6C3 = 20 * 20 = 400
Hence there are 924 - 400 = 524 different ways.
Answer:
Large boxes are 18.25 kg
Small boxes are 15.25 kg
Step-by-step explanation:
This is a system of equations. You need to set up each equation first.
I am assigning x to be big boxes and y to be small boxes.
5x + 3y = 137
2x + 6y = 128
To solve, you will need to eliminate a variable. That means you will have to multiply one of the equations by a number to make it so a variable will be eliminated. I will be multiplying the top equation by -2.
-2 ( 5x + 3y = 137)
2x + 6y = 128
Distribute the -2 to everything in the parentheses in the first equation.
-10x - 6y = -274
2x + 6y = 128
Notice the 6y will go away because -6y + 6y = 0. Now add the equations together. The remaining equation is:
-8x = -146
Solve for x by dividing by -8.
x = 18.25
Now plug that into one of the original equations.
2(18.25) + 6y = 128.
36.5 + 6y = 128 Subtract 36.5 from each side
-36.5 -36.5
6y = 91.5 Divide by 6 to solve
y = 15.25
