Answer:
The area of ∆DEF = 4.5in²
Step-by-step explanation:
From the above diagram,
∆BAC ~∆DEF
It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides
This means for the above question, that
We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²
The small triangle has a side of 3in
Finding the scale factor k = ratio of the sides of both Triangles
k = 4/3
k² = (4/3)²
k² = 16/9
Hence,
Area of ∆BAC/ Area of ∆DEF = 16/9
8in²/Area of ∆DEF = 16/9
We cross Multiply
8 in² × 9 = Area of ∆DEF × 16
Divide both sides by 16
Area of ∆DEF = 72/16
= 4.5in²
Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²
Answer:
Option D. 1
Option E. 1/2
Step-by-step explanation:
we know that
Looking at the graph
The domain is the interval ----> [-1,1]
The domain is all real numbers greater than or equal to -1 and less than or equal to 1
The range is the interval ----> [0,1]
The range is all real numbers greater than or equal to 0 and less than or equal to 1
therefore
The values that are in the range are
1 and 1/2
Answer:
<em>Alex sold 330 white chocolate bars</em>
Step-by-step explanation:
let the milk chocolate candy be x and the white chocolate candy be y. then
then 2x+3y=990----1)
x+y=330-----2)
from eq 2) ⇒ x=330-y---------3)
Putting eq 3 in eq 1
2(330-y) +3y=990
660-2y+3y=990
y=990-660=330-----------4)
Putting eq4 in eq1
2x+3(330)=990
2x+990=990
2x=990-990
2x=0
x=0---------------------------5)
Answer:
y=2x + 2
Step-by-step explanation:
2 is the slope and 2 is also the y-intercept
y = mx + b
