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:
39 inches.
858 inches²
Step-by-step explanation:
Length:- (if length = x)
2 ( 11 + x ) = 100
22 + 2x = 100
2x = 100 - 22
2x = 78
x = 78 ÷ 2
x = 39 inches
Area:-
Area = l × b
= 39 × 22
= 858 inches²
I believe the correct answer from the choices listed above is option B. Mixtures are not given chemical formulas because no chemical bonding took place between the components in the mixture such as sugar in water. Sugar in water still remains to be sugar, its properties are the same but only it is dissolved in water.
Answer:
son 60 puntos ...!!!!!!!!
125 > 50 + 4.25*p
subtract 50 from each side
75 =>4.25p
divide by 4.25
p>17.64
He may invite up to 17 people ( if he doesn't have to pay for himself)
He may invite 16 if he has to pay for himself