Answer:
12cm and 16cm
Step-by-step explanation:
The hypotenuse of the right angle triangle = 20cm
let the other two sides be x and y;
The difference;
x = y - 4
Problem:
Find x and y;
Solution:
According to the pythagoras theorem;
x² + y² = 20² ------ i
x² + y² = 400 ----- i
and x - y = 4 ---- ii
So; x = 4 + y
Now input the value into equation (i);
(y + 4)² + y² = 400
(y+4)(y+4) + y² = 400
y² + y² + 4y + 4y + 16 = 400
2y² + 8y + 16 = 400
2y² + 8y + 16 -400 = 0
2y² + 8y - 384 = 0;
y² + 4y - 192 = 0
Factorize the equation;
y² + 16y - 12y - 192 = 0
y(y + 16) - 12(y + 16) = 0
(y-12)(y + 16) = 0
y -12 = 0 or y+ 16 = 0
y = 12 or -16
It is not realistic for the length of a body to be a negative value, so y= 12;
since;
x - y = 4,
x = 4 + 12
x = 16
3/10 * 2/9 = 1/15
There is a 1/15 chance that both of the shirts he grabbed are black....
:)
D. The measure of TRU is 72
Answer:
= 17 v^2 + 7v + 11
Step-by-step explanation:
Given that:
= (8v^2+6v+5)+(9v^2+v+6)
by removing brackets
= 8v^2 + 6v + 5 + 9v^2 + v + 6
Addin like terms:
= (8v^2 + 9v^2) + (6v + v)+ (5 + 6)
= 17 v^2 + 7v + 11
I hope it will help you!
