Answer:
x+3y=-9
Step-by-step explanation:
-2(x+3y)=18
x+3y=18/-2
x+3y=-9
Octagon:
= [(8-2)×180]÷8
= 135
Angle of LMN is:
= 360-135-60
= 165
Angle of EMN is:
= 180÷3
= 60
The number of side is :
[(n-2)×180]÷n = 165
(180n-360)÷n = 165
180n-360 = 165n
180n-165n = 360
15n = 360
n = 360÷15
n = 24
So, the number of side of the regular polygon R is 24.
Answer:
$90.75
Step-by-step explanation:
103*100=(13.5%+100%)*x
10300=113.5x
x=10300/113.5
x=90.74889868
x=$90.75
15- 10 divided by 21- -9 should give you your slope
Answer:
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.
Step-by-step explanation:
Let the dimension of the cardboard box be x cm by y cm by z cm.
The surface area of the cardboard box without lid is
f(x,y,z)= xy+2xz+2yz.....(1)
Given that the volume of the cardboard is 19,652 cm³.
Therefore xyz =19,652
......(2)
putting the value of z in the equation (1)
The partial derivatives are
To find the dimension of the box set the partial derivatives and .Therefore
.......(3)
and
.......(4)
Now putting the x in equation (3)
⇒y=34 cm
Then =34 cm.
Putting the value of x and y in the equation (2)
=17 cm.
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.