Answer:
r = 7 cm; l = 11cm
The circle encloses more area than the square
Step-by-step explanation:
(a) Radius of circle
The formula for the circumference of a circle is
A = 2πr
r = A/(2π)
Data:
C = 44 in
Calculation:
r = 44/(2 × 22/7)
= 44/2 × 7/22
= 2/2 × 7
= 7 in
(b) Side of square
P = 4l
l = P/4
= 44/4
= 11 in
(c) Areas
(i) Circle
A = πr²
= 22/7 × 7²
= 22/7 × 49
= 22 × 7
= 154 cm²
(ii) Square
A = l²
= 11²
= 121 cm²
The circle encloses more area than the square.
Answer:
65
Step-by-step explanation:
2 - 3 ( 5 + 2 ) ( 5 - 8 )
= 2 - 3 ( 7 ) ( -3 )
= 2 + 63
= 65
Answer:
A. The length is 3
B. angel T
C. The perimeter is 20ft
Step-by-step explanation:
They are congruent so there side leghths are the same.
Cross Multiply by 'x - 5'
Hence
y(x - 5) = 4 -3x
xy - 5y = 4 - 3x
Move all the terms containing an 'x' to one side of the equals and all the others to the opposite side.
xy + 3x = 4 + 5y
Factor out 'x'
x(y + 3) = 4 + 5y
'Cross' divide by 'y + 3'
x = ( 4 + 5y) / (y + 3 )
'x' is now the subject.
Answer:
D. 60, 45,75
Step-by-step explanation:
For options C and D
For a triangle the sum of the angles must always be equal to 180 degrees
So 180 ≠45+45+80
and
60 +45+ 75= 180
For option A and B
The length of the longer side is equal to the square root of the sum of squares of the other two sides in a triangle.
According to Pythagorus theorem
hypotenuse²= base² + perpendicular²
c²= a²+ b²
90²= 50² + 35²
8100= 2500+1225
8100≠3725
95²= 60²+ 25²
9025= 3600+ 625
9025≠4225
Therefore only D is the correct option
