Answer:
the Pythagorean theorem states: a^2 + b^2 = c^2
1) in this case a=18 and b1=25
18^2 + 25^2 = c1^2
324 + 625 = c1^2
949 = c1^2
√949 = c1
cca. 30.8 = c1
2) in this case a=18 and b' = b2 - b1 = 40 - 25 = 15
in the picture im attaching i highlighted the triangles we are working with, and there you can clearly see that b' (the horizontal line at the bottom of the red tr.) is the difference between the lines b2 and b1
now you can use the same technique as in the first case, and the final answer will be cca. 23.4 = c2
3) in this case a=18 and b'' = b4 - b3 = 75 - 55 = 20
same thing as number 2, final answer cca. 26.9 = c3
If 10% of people are left-handed, and you have 10 people in a group, only 1 of them is going to be left-handed.
Answer:
The dimensions are 9m by 18 m
Step-by-step explanation:
The perimeter will be
x+y+x for the three sides ( the wall is the fourth side)
2x+y = 36
Solving for y
y = 36-2x
The area is x*y and we want it maxed
A =x( 36-2x)
36x-2x^2
Taking the derivative
dA /dx = 36 - 2 * 2x
Setting this equal to zero to find the max
0 = 36 - 4x
4x = 36
Divide by 4
x = 36/4
x = 9
Now find y
y = 36-2x
y = 36 - 2*9
y = 36 - 18
= 18
The dimensions are 9m by 18 m
Answer:
(5-2z)(5+2z)
Step-by-step explanation:
25 -4z^2
Rewriting
5^2 - (2z)^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(5-2z)(5+2z)
The solution is C. x is less than negative 2.