Answer: 6 cm
Step-by-step explanation:
Given: The ratio of the areas of two similar parallelograms is 4:9.
To find : The height of the bigger one if the smaller is of height 4 cm.
Let h be the height of the bigger one.
Since the areas of similar figures are proportional to the square of their corresponding sides.
Then, 
![\dfrac{16}{h^2}=\dfrac{4}{9}\\\\\Rightarrow\ h^2=\dfrac{9}{4}\times16\\\\\Rightarrow\ h^2=36\\\\\Rightarow\ h= 6\ cm\ \ \ \ \text{[ height cannot be negative.]}](https://tex.z-dn.net/?f=%5Cdfrac%7B16%7D%7Bh%5E2%7D%3D%5Cdfrac%7B4%7D%7B9%7D%5C%5C%5C%5C%5CRightarrow%5C%20h%5E2%3D%5Cdfrac%7B9%7D%7B4%7D%5Ctimes16%5C%5C%5C%5C%5CRightarrow%5C%20h%5E2%3D36%5C%5C%5C%5C%5CRightarow%5C%20h%3D%206%5C%20cm%5C%20%5C%20%5C%20%5C%20%5Ctext%7B%5B%20height%20cannot%20be%20negative.%5D%7D)
Hence, the height of bigger parallelogram = 6 cm
Pytagorean theorem
height10
attached at 10-4=6 yards from bottom
8 yards from base to away
a^2+b^2=c^2
a and b are side legnths and c=hypotonuse
so therfore we are given a and b and we must solve for c
so
6=height
8=base
6^2+8^2=c^2
36+64=c^2
100=c^2
square root
10=c
so therfor the legnth of each cable is 10 yards
3 cables so 3 times 10=30
30 yards needed
Answer:
90
Step-by-step explanation:
- When converting from centimetres to millimetres you must multiply by ten.
- 9cm x 10 = 90mm
Answer:
3 7/18
Step-by-step explanation:
2 1/6 + 1 2/9 (- cancels with the - to give us +)
Convert to simple fraction: 13/6 +11/9
Find the common denominator: 13x 3/6x3 + 11 x 2/9 x 2
39/18 + 22/18
Now that the denominators are same, conduct the given operation.
39 + 22/ 18
61/18
Convert into mixed fraction: 3 7/18
Final answer: 3 7/18
Answer:
14.6
Step-by-step explanation:
Answer to this is 14.6.
