Answer:
This system of equations was solved the Reduction Method:
Step 1: Multiply the equations by the appropriate numbers (The first equation was multiplied by 5 and the other one bye 7), so that one of the variables disappears by subtracting both equations.
Step 2: The equations were algebraically added and one of the variables disappeared (Resulting in 31a= 217).
Step 3: The variable "a" was cleared to know its value (a= 217/31= 7).
Step 4: The value "a" obtained is substituted in one of the previous equations.
Step 5: Multiply the 2 (coefficient of "a" in the first equation) by the value "a" obtained (2x7= 14).
Step 6: The independent term "14" is passed to the right member and his sign changes to negative (-14)
The final step is to clear variable "b" to know its value (b= -17/4= -2).
Step-by-step explanation:
V = Vcyl - Vcone
V = base×height - 1/3base×height
V = (pi×5^2)(16) - 1/3(pi×4^2)(12)
V = 1256 - 200.96
V = 1055.04 cubic cm.
We are supposed to assume FC and AD is straight line
let's find all the angles
you already see the right angle is 90 degrees, you got that right
striaght line is 180 degrees
90+46+EF=180
136+EF=180
minus 136 both sides
EF=44
now we got another straight line
you did get that A F=46 because it is oposite
notice: AB=BC because same angle designition
so now we use
180+46+2AB=360
2AB=134
divide 2
AB=67=BC
AC=134 degrees
CAE=134+46+44=224
ABD=180 since straight line
a. 90
b. 224
c.134
d. 180
Answer:
Picture
Step-by-step explanation:
I graphed them