Answer:The trip would be about 13.75 inches on the map
Step-by-step explanation:
Y measure is 43
X measure is 137
Z measure is 137
Answer:
(g ∘ f)(-2) = 1
Step-by-step explanation:
f(x)=x^2
g(x)=x-3
(g o f)(-2)=?
(g o f)(x)=g(f(x))
(g o f)(x)=g(x^2)
(g o f)(x)=(x^2)-3
(g o f)(x)=x^2-3
x=-2→(g o f)(-2)=(-2)^2-3
(g o f)(-2)=(-2)(-2)-3
(g o f)(-2)=4-3
(g o f)(-2)=1
The perimeter of the large square is 24 and the area is 36 units
the perimeter of the small squares are 4 and the areas are 1 unit.
All together the perimeter is 29 and the area is 38.
Answer:
As per the statement:
Shadow of tree = 10 ft
Shadow of boy = 2.5 ft
and
height of the boy = 5 ft
we have to find the height of the tree.
Since, the given triangles are similar their corresponding sides are in proportions
then;
![\frac{\text{Shadow of tree}}{\text{Shadow of boy}} = \frac{\text{Height of tree}}{\text{Height of boy}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BShadow%20of%20tree%7D%7D%7B%5Ctext%7BShadow%20of%20boy%7D%7D%20%3D%20%5Cfrac%7B%5Ctext%7BHeight%20of%20tree%7D%7D%7B%5Ctext%7BHeight%20of%20boy%7D%7D)
Substitute the given values;
![\frac{10}{2.5} = \frac{\text{Height of tree}}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B2.5%7D%20%3D%20%5Cfrac%7B%5Ctext%7BHeight%20of%20tree%7D%7D%7B5%7D)
Multiply both sides by 5 we have;
![\text{Height of tree} = \frac{10}{2.5} \times 5 = \frac{100 \cdot 5}{25}= 4 \cdot 5 = 20](https://tex.z-dn.net/?f=%5Ctext%7BHeight%20of%20tree%7D%20%3D%20%5Cfrac%7B10%7D%7B2.5%7D%20%5Ctimes%205%20%3D%20%5Cfrac%7B100%20%5Ccdot%205%7D%7B25%7D%3D%204%20%5Ccdot%205%20%3D%2020)
Therefore, the height of the tree is , 20 ft