The fraction is already in its simplest form, can not be further simplified
Answer:
Black = 84 cm^2
Blue = 84cm^2
gold = 60.2cm^2
1 ornament = 228.2 cm^2
100 ornaments - 22820 cm^2
Step-by-step explanation:
Black is a rectangle = A = l*w = 7*12 = 84 cm^2
We have 2 blue This is a triangle so multiply by 2 the area of a triangle
2 * A = 2(1/2 b*h) = bh = 12*7 = 84 cm^2
We have 2 gold This is a triangle so multiply by 2 the area of a triangle
2 * A = 2(1/2 b*h) = bh = 8.6*7 = 60.2 cm^2
The total surface area for one ornament is
84+84+60.2 = 228.2
100 ornaments
Multiply by 100
100 *228.2 = 22820 cm^2
Answer:
Oh cool! The answer is 90 since a and c or parallel, b cuts through them perpendicularly, forming a right angle.
Step-by-step explanation:
This essentially means 12-8
|| means absolute value which is the distance from 0 the number is
Basically it’s the number but positive
So the answer is 4
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
