Answer:
10
Step-by-step explanation:
130+40+x =180
x=10
option 2 is correct
Answer:
x = 49
Step-by-step explanation:
1- Substitute g ( x ) = 0
Reduce
g ( x ) = - x 2/4 + 7
2- Move the variable to the left
0 = - x 1/2 + 7
3- Simplify the equation
x 1/2 = 7
4- Simplify Evaluate
( x 1/2 ) ² = 7²
5- Check the solution
x= 49
6- Simplify
0= - 49 2/4 + 7
7- x = 49 is a solution
0 = 0
Answer:
yes, because they have the same angle measures.
(congruent triangles have equal angles)
Step-by-step explanation:
Answer:
<u>25 hours</u>
Step-by-step explanation:
It takes 5 men 45 hours to build a wall.
So, if no. of men increases by 1.8 [∴ 5 x 1.8 = 9],
then time taken reduces by that same amount.
=> 45 hours / 1.8
=> 45 / (9/5)
=> 45 x 5 / 9
=> 5 x 5
=> <u>25 hours</u>
If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 
and 
, and a height of x.
So, the volume will be given by the product of the dimensions, i.e.
The derivative of this function is
and it equals zero if and only if
If we evaluate the volume function at these points, we have
So, the maximum volume is given if you cut a square with side length
