Answer:
z = 4
y = -1
x = 2
Step-by-step explanation:
x - y = 3
Therefore => x = 3 + y
y + 2z =7
Therefore => y= 7 - 2z
We have the equation :
2x + 3y + 4z = 17
2(3 + y) + 3(7 - 2z) + 4z = 17
6 + 2y + 21 - 6z +4z = 17
2(7 -2z) - 2z + 27 = 17
14 - 4z - 2z + 27 = 17
-6z + 41 = 17
-6z = -24
z = 4
Answer:
B
Since the vertex is (-3,-2) The x value should be +3
The answer is 0.079
*Remove percent sign
*Move decimal back 2 times
We can use two different ways to solve this equation:
Because the board is 25 off, we can multiply the price and subtract the result:
30 - 0.25(30) = 30 - 7.5 = $22.50
We can also solve by multiplying the total price by 0.75
(1 - 0.25)(30) = 0.75(30) = $22.50
The sales price is $22.50
Height of the pentagon = 9 ft
Edge of base = 3 ft

s is the length of any side = 3
n is the number of sides = 5
tan is the tangent function calculated in degrees

Volume of the pentagon = area of base (height )
Volume of the pentagon = 15.4852 (9)
Volume of the pentagon = 139.366
Volume of the pentagon = 139.37 cu.ft