Answer:
900 cm²
Step-by-step explanation:
Perimeter of a rectangle is given by
P=2(l+w)
Where l and w are length and width respectively.
Substituting P with 120 cm
120=2(l+w)
Divide both sides by 2
60=l+w
Making w the subject of formula
w=60-l
Area, A=lw
Substitute w with 60-l
A=l(60-l)=60l-l²
Since A=60l-l²
Get the first derivative of A with respect to l
0=60-2l
l=60/2=30
Therefore, w=60-l=60-30=30
The length abd width are both 30cm. This is a square and a square is also a type of rectangle since it has four sides.
Area=30*30=900cm²
Answer:
radius = 5 units
Step-by-step explanation:
leg lengths of 6 and 8
AC = 6
BC = 8
Notice that since AB = diameter of circle and that C is inscribed in circle O
angle C = 90 degrees
triangle ABC is a right triangle
(AB )^2 = (AC)^2 + (BC)^2 by Pythagorean theorem
so
(AB)^2 = 6^2 + 8^2 = 36 + 64 = 100
AB = square root of 100 = 10
so AO = (1/2) *AB = (1/2)*10 = 5
Answer:
D. 14.73
Step-by-step explanation:
According to Pythagoras,
19^2 = 12^2 + x^2
x^2 = 19^2 - 12^2
x^2 = 361 - 144
x^2 = 217
x = 
x = 14.73
The greatest whole number is 300,000
