Answer:
133,7697
Step-by-step explanation:

The solution to system is x = 0 and y = -1
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
-8x + 2y = -2 ----------- eqn 1
4x + 4y = -4 ---------- eqn 2
We have to solve the system of equations
We can solve the equations by elimination method
<em><u>Multiply eqn 2 by 2</u></em>
8x + 8y = -8 ------ eqn 3
<em><u>Add eqn 1 and eqn 3</u></em>
-8x + 2y = -2
8x + 8y = -8
( + ) ---------------
0x + 2y + 8y = -2 - 8
10y = -10
Divide both sides by 10
y = -1
<em><u>Substitute y = -1 in eqn 1</u></em>
-8x + 2(-1) = -2
-8x - 2 = -2
-8x = -2 + 2
x = 0
Thus the solution to system is x = 0 and y = -1
Solution set of inequality-7<3x+2<11, where x is a real number
Answer:
x = 33
Step-by-step explanation:
Two angles are complementary as the sum of two angles is 90
x + 24 + x = 90 {Combine like terms}
2x + 24 = 90 {Subtract 24 from both sides}
2x = 90 - 24
2x = 66
x = 66/2
x = 33
Answer:
875 cm^3
Step-by-step explanation:
Here, we want to calculate the volume of the pyramid.
To do this, we need to calculate the area of the base and then multiply this by the height of the pyramid in question
Mathematically since the base is a square, formula for the base area would be ;
L^2 = 5^2 = 125 cm ^2
Now
using the height to get the volume , we have 125 * 7 = 875 cm^3