Answer:
The correct answer is option D. Dilation by a scale factor of 2 followed by reflection about the x-axis
Area of square base = 324 m²
Length of the square side = √324 = 18
The side of the square is the base of the triangle.
Area of triangle = (1/2)*base* height
135 = (1/2)*18* h
135 = 9h
135/9 = h
15 = h
height = 15 m
To get the height of the Pyramid, the height of the Triangle and half the length of the side of the square form a right angled triangle.
Hypotenus = 15
Half length of square = 18/2 = 9
Height of Pyramid = H
By Pythagoras' Theorem:
15² = H² + 9²
225 =H² + 81
H² + 81 = 225
H² = 225 - 81
H² = 144 Take square root of both sides
H = √144
H = 12
Height = 12 meters.
Option C.
Answer:
Step-by-step explanation:
Here is the complete question: Find the rate of change for the situation:
A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.
Given: 1st situation, A chef cook 9 lbs chicken for 36 people.
2nd situation, chef cook 17 lbs chicken for 68 people.
∴ 1st situation, weight of chicken per person= 
Weight of chicken per person= 
2nd situation, weight of chicken per person= 
Weight of chicken per person=
In both the situation chef cook same amount of chicken per person, which is
∴ Rate of change is
X=width of the lake
y=length of the lake.
we set out this system of equiations
x*y=9/20
x=y/5
we solve by sustitution method
(y/5)*y=9/20
y²/5=9/20
y²=(5*9)/ 20
y²=2.25
y=√2.25=1.5
x=y/5
x=1.5/5=0.3
Solution:
width of the lake=0.3 miles
lenght of the lake=1.5 miles
Answer:
It is
Step-by-step explanation:
1/12
That's correct
