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
Number of strings =
= 21 x 21 x 21 x 21 x 21 x 5 = 20 420 505
Answer: 20 420 505
W + 54 = s
w + 54 = 72
Answer: C
Hope this helps!! :)
Answer:
$5,500
Step-by-step explanation:
Steve is Darrlyn house for $360,000
Steve loan amount $275,000
He agreed to pay 2 points at closing
Therefore the amount steve will pay for points can be calculated as follow
= 275,000 × 2/100
= 275,000 × 0.02
= 5,500
Hence Steve will pay $5,500
Answer:
I = (70) x (0.03) x (12)
Step-by-step explanation:
The general formula of simple interest formula is: I = PRT where I = simple interest, P = principal amount, R = interest rate, T = time (in years). Given that the initial investment is $70, the interest rate is 3% (or 0.03 as a decimal) and the time is 12 years, you can form the following:
I = (70) x (0.03) x (12)
