Answer: 
Step-by-step explanation:
Given
The scale factor of two similar hexagons is 5:12.
The smaller hexagon has an area of 24 square units
we know, the ratio of two similar figures is equal to the square of the scale factor.
Suppose the area of the larger hexagon is A
![\therefore \dfrac{24}{A}=\left[\dfrac{5}{12}\right]^2\\\\\Rightarrow A=\left[\dfrac{12}{5}\right]^2\times 24\\\\\Rightarrow A=138.24\ \text{square units}](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cdfrac%7B24%7D%7BA%7D%3D%5Cleft%5B%5Cdfrac%7B5%7D%7B12%7D%5Cright%5D%5E2%5C%5C%5C%5C%5CRightarrow%20A%3D%5Cleft%5B%5Cdfrac%7B12%7D%7B5%7D%5Cright%5D%5E2%5Ctimes%2024%5C%5C%5C%5C%5CRightarrow%20A%3D138.24%5C%20%5Ctext%7Bsquare%20units%7D)
Answer:
13 inches
Step-by-step explanation:
legs are 5 inch and 12 inch
we have to find hypotenuse
use formula
a^2 + b^2 =c^2
here a and b are legs of a triangle and hypotenuse is c so,
5^2 + 12^2 =c^2
25 + 144 =c^2
169 =c^2
=c
13 =c
therefore hypotenuse is 13 inches.
Answer:
Option 3
Step-by-step explanation:
The coordinates are (9,-2) and (6,3)
Distance Formula = 
D = 
Answer:
Jessica wants 180 plants in her garden.
Step-by-step explanation:
The formula for the area of the triangle is (1/2)*base*height.
So here, Let’s say 8 feet is the base and 15 feet is the height.
the area of the triangle would be (1/2)*8*15. That equals 60 square feet.
If Jessica wants 3 plants each square foot, then 60*3, which is 180 plants.
Note: * means the multiplication sign.