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:
The expression which will result in difference of two squares is:
(–7x + 4)·(–7x – 4)
Step-by-step explanation:
We know that the formula of the type:
(a-b)(a+b)=a²-b²
i.e. it is a difference of two square quantities. (a^2 and b^2)
since,
a= -7x , b=4
(-7x+4)(-7x-4)= (-7x)² - (4)²
=(7x)² - 4²
So the expression is a difference of two square quantities:
(7x)² and (4)²
Hence the answer is (–7x + 4)·(–7x – 4)....
Answer: 0.9
Step-by-step explanation:
5) n - 5 <u>></u> -2
<u> + 5 +5</u>
n <u>></u> 3
6) 3 + x < 7
<u> -3 -3</u>
x < 7
7) -7y <u><</u> 14
<u> ÷ -7 ÷ -7
</u> y <u> <</u> -2<u>
</u>8) b/5 > -1
<u>× 5 × 5</u>
b > -5
<u />
Since you provide no information about the median salary, i'm gonna use the national data, whcih is around $ 13,000 per year
Cost of education for 2 year = $30,000
Since he's still working in those 2 years, he'll earn = $ 26,000
Which means he just need to work for around half a year to cover the remaining $4,000 , so i think the answer is 2.5 years
hope this helps
