Answer:
108 centimeters
Step-by-step explanation:
There are 12 edges total.
9 x 12 = 108
Solution:
Using Substitution Method:
-4x+7y=-5 (Equation 1)
x-3y=-5 (Equation 2)
get the value of x from Equation 2
x=3y-5 (Equation 3)
Put the value of x from Equation 3 in Equation 1
-4(3y-5)+7y=-5
-4(3y)+20+7y=-5
-12y+7y=-5-20
-5y=-25
Negative sign on both sides cancels each other
y=25/5
y=5
Putting value of y in equation 3
x=3(5)-5
x=15-5
x=10
Therefore, [x,y]=[10,5]
Using Elimination Method
-4x+7y=-5 (Equation 1)
x-3y=-5 (Equation 2)
Multiply equation 2 with -4 in order to eliminate the x term
-4(x-3y)=-5*4
-4x+12y=20 (Equation 3)
Adding Equation 1 and 3
-4x+7y=-5
-4x+12y=20
+ - = - (Change Of Sign with x and y terms)
-----------------
0x-5y = -25
-5y=-25
y=5
Substituting y’s value is Equation 1
-4x+7(5)=-5
-4x+35=-5
-4x=-40
Cancellation of negative sign on both sides
x=40/4
x=10
[x,y]=[10,5]
Answer: congruent central angles
Step-by-step explanation:
A central angle is an angle formed by two radii with the vertex at the center of the circle. In the diagram at the right, ∠AOB is a central angle with an intercepted minor arc from A to B. In a circle, or congruent circles, congruent central angles have congruent arcs.
Answer:
(Triangular pyramid)
Lateral area = 1650
Total surface area = 1860.1
(Triangular prism)
Volume = 660
Step-by-step explanation:
<u> For the triangular pyramid</u>
Area of triangle = 
× base × height
Area of the base = × 22 × 19.1 = 210.1
Area of the sides = × 22 × 50 = 550
Number of sides (excluding base) = 3
∴ Total Area = 210.1 + (550 × 3)
= 210.1 + 1650 = 1860.1
Lateral Area = (550 × 3) = 1650
<u>For the triangular prism</u>
Area of the triangle = × 12 × 5 = 30
Volume = Area x Height
Volume = 30 × 22 = 660
