Answer:
Length: 21 cm and Width: 6cm
Step-by-step explanation:
Let be the width and length of the rectangle. We know:
-------- eq. 1
(Perimeter of the rectangle) ------- eq. 2
Substitute equation 1 in equation 2:
Using the value of y, we find x.
Answer:
144/100=1.44
Step-by-step explanation:
it is done
Only √3 is an irrational number, since you can't write it as a fraction
Answer:
a = 2x
b = 3
Step-by-step explanation:
Consider the sum of cubes identity
a³ + b³ =(a + b)(a² -ab +b²)
for the polynomial 8x³ +27, we factorise
8x³ + 27
∛8 = 2
∛8 = x
∛27 = 3
Therefore, we can say that :
8x³ + 27 = (2x)³ + 3³
Using this: a³ + b³ =(a + b)(a² -ab +b²)
We can say that
a = 2x
b = 3
To confirm that: a = 2x and b = 3 we factorise 8x³ + 27
= (2x)³ + 3³
= (2x + 3)((2x)²− 2x × 3 + 3²)
= (2x + 3)(4x² - 6x + 9)
= 8x³ - 12x² +18x + 12x² - 18x + 27
= 8x³ + 27
Therefore, a = 2x and b = 3 is correct.
=
Solution: Construct a right angle triangle ABC right angled at B.
To construct angle bisector of right angle ,we need to draw arcs from A and C on both the sides with the use of protector.
then join both the intersections of arcs to make the bisector PQ which intersect AC at D.
Now as it is bisecting the right angle B ,therefore as ∠B = 90°
⇒ ∠ABD+∠DBC= 90°
⇒∠ABD+∠ABD= 90°
[ As angle bisector bisects the angle into two equal halves,∴∠A =∠DBC]
⇒2∠ABD= 90°
⇒∠ABD=45° =∠DBC