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
Answer:
33 feet
Step-by-step explanation:
Use SOHCAHTOA to determine which trigonometric function to use:
sin(65)=30/x
sin(65)x=30
x=30/sin(65)
x=33.1
So the length of the ladder rounded to the nearest foot is 33 feet
Answer:
Tai will burn 6 calories in 1 minute while biking
Step-by-step explanation:
45-----270
1-------x
45x = 270
x = 270/45
x = 6
Answer:
Step-by-step explanation:
AB=99
ABC=1391
BAC=992
ACB=3301
The answer is 48 you basically just do 8 times 6 if I’m right.