Q is congruent to P because they’re both got the same x and y number the x is 5 and -5 and for y is 3 and -3.
It would be: 289*24/100 = 6936/100 = 69.36
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
Answer:
<u>From the box plot we get:</u>
- Minimum - 14
- Maximum - 88
- Quartile 1 - 34
- Quartile 3 - 65
- Median - 48
1)
P = 600
I = 0.07
N = 2
2)
P = 4000
R = 0.09
N =4
3)
P=6000
R = 12
I = .084