Step-by-step explanation:
7 √(1/3) - 2 1/3 √(1/3) +3√147
→7(1/√3) - (7/3)(1/√3) +3√(3×7×7)
→ (7/√3) - (7/3√3) +3×7√3
→ (7/√3) - (7/3√3) + 21√3
On Rationalising the denominators then
→ [ 7√3/(√3×√3)]-[7√3/(3×√3×√3) +21√3
The Rationalising factor of√3 =√3
→ (7√3/3)-[7√3/(3×3)]+21√3
→ (7√3/3)-(7√3/9)+21√3
LCM of 3 and 9 = 9
→ [(3×7√3)-(7√3)+(9×21√3)]/9
→ (21√3-7√3+189√3)/9
→[(21-7+189)√3]/9
→ [(210-7)√3]/9
→ 203√3/9 Ans.
Hope this helps.
Step-by-step explanation:
step 1 given
diametre of cylinder 6 cm
height of cylinder 10 cm
using formula
V=Bh
V= 6cm×10cm
V= 60 cm²
1. Subtract 1/3 from 7/9.
1/3 and 7/9 : Both denominators of 3 and 9 go into 9.
2. 1/3* 3 = 3/9 7/9*1 = 7/9
3.3/9 - 7/9 = 4/9 OR 2 1/9
Answer:
46°
Step-by-step explanation:
We can tell that this triangle is an isosceles triangle because 2 of it's sides are the same, therefore, two of it's angles are the same.
Looking at it, we can assume that the two angles not defined (x and the other one) are the two angles that are the same because they look similar.
Now, the angles of all triangles add up to 180°. So, we can subtract 88° from 180 to see what the two angles add up to.
![180-88=92](https://tex.z-dn.net/?f=180-88%3D92)
So both of these angles add up to 92 degrees. Since there are two, we divide 92 by 2.
![92 \div 2 = 46](https://tex.z-dn.net/?f=92%20%5Cdiv%202%20%3D%2046)
Hope this helped!
multiply both sides by -3 , -6*-3 equals 18.
d is less than or equal to 18