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:
1,059.75
Step-by-step explanation:
well the silver car is less then a green car right but just add them up
#6. the answer is 12 it increases by 4 every time
#8. the answer is every week he runs his miles increase by 5
Answer:
The maximum number of hours the school can have the band play at the dance is 4.
Step-by-step explanation:
150 + 100 + 35x ≤ 390
250 + 35x ≤ 390
subtract 250 from both sides
35x ≤ 140
divide by 35 on both sides
x ≤ 4
Answer:
She rode her bike 20 miles... I believe this may be a trick question.
Step-by-step explanation:
Let's break down this problem...
If she is going at a rate of 5 miles per hour while walking than the maximum she could have walked in 5 hours is 25 miles.
If Angela rode her bike for 20 miles, and the got off her bike and walked "<em>the rest of the way</em>" then she should have walked 50 miles. However as we already know her rate is 5 miles per hour while walking, and therefore could only have covered half that distance in 5 hours.
Is this a multiple choice question? Is there any misssing informaation?
