Use compatible numbers to find two estimates that the quotient is between. For example:
1,624 divided by 3
<span> 1500 / 3 = 500 </span>
<span>1800 / 3 = 600</span>
Answer:
The sum of the interior angles of a quadrilateral <u>equals</u><u> </u> the sum of its exterior angles.
Step-by-step explanation:
The sum of the exterior angles of a quadrilateral is 360 degrees.
The sum of the interior angles = (n-2)*180
Here n = 4, the number of sides.
Quadrilateral has 4 sides.
The sum of the interior angles = (4 - 2)*180
= 2*180
= 360 degrees.
Therefore, the sum of the interior angles of a quadrilateral <u>equals </u> the sum of its exterior angles.
Hope this will helpful.
Thank you.
X=162, if you multiply 18*9 which is the way to get the answer you get 162
Length of shorter piece is 13 ft
Length of longer piece is 61 - 13 => 48 ft
Answer:
y = (11x + 13)e^(-4x-4)
Step-by-step explanation:
Given y'' + 8y' + 16 = 0
The auxiliary equation to the differential equation is:
m² + 8m + 16 = 0
Factorizing this, we have
(m + 4)² = 0
m = -4 twice
The complimentary solution is
y_c = (C1 + C2x)e^(-4x)
Using the initial conditions
y(-1) = 2
2 = (C1 -C2) e^4
C1 - C2 = 2e^(-4).................................(1)
y'(-1) = 3
y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)
3 = -4(C1 - C2)e^4 + C2e^4
-4C1 + 5C2 = 3e^(-4)..............................(2)
Solving (1) and (2) simultaneously, we have
From (1)
C1 = 2e^(-4) + C2
Using this in (2)
-4[2e^(-4) + C2] + 5C2 = 3e^(-4)
C2 = 11e^(-4)
C1 = 2e^(-4) + 11e^(-4)
= 13e^(-4)
The general solution is now
y = [13e^(-4) + 11xe^(-4)]e^(-4x)
= (11x + 13)e^(-4x-4)
