Answer:
Step-by-step explanation:
1. Area of a parallelogram = base * height
area = 10 * 4 = 40 in squared
perimeter = 2(a + b)
perimeter = 2 * (5 + 10) = 2 * 15 = 30in
2. Area of triangle = 1/2 * base * height
area = 1/2 * 21 * 8 = 84 cm squared
perimeter = sum of outer perimeters
perimeter= 10cm + 17cm + 21cm = 48cm
3. area of trapezium = 1/2 * (a+b) * h
area = 1/2 * (6+12) * 4 = 36ft squared
perimeter = sum of outer perimeters
perimeter = 5ft + 6ft + 12ft + 5ft = 28ft
79.55449 your welcome this is totally wrong lol sos
Answer:
Numbers are 14 and 8
Step-by-step explanation:
Let the 2 numbers be x and y.
Write 2 equations:
x + y = 22
x - y = 6
Solve by substitution:
x - y = 6
x = y + 6
Plug into the other equation:
(y + 6) + y = 22
2y + 6 = 22
2y = 16
y = 8
Plug into either equation:
x + 8 = 22
x = 14
Numbers are 14 and 8
Answer:
x^2-12x+27
Step-by-step explanation:
(x-3)(x-9)=x^2-3x-9x+27=x^2-12x+27
Sec^2 x - 1 = tan^2x
Proof:
Sec^2x = 1+ tan^2x
1/cos^2x = 1 + sin^2x/cos^2x
<span>1/cos^2x - sin^2x/cos^2x = 1
</span>Using common denominator:
(1-sin^2x)/cos^2x = 1
sin^2x + cos^2 x = 1
cos^2 x = 1 - sin^2x
Substituting :
cos^2x/<span>cos^2x = 1
</span>1 = 1
Left hand side = right hand side