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
The 4 in 846 is 10 times more than the 4 in 864
Answer:
10
Step-by-step explanation:
How you find LCD (lowest common denominator) is that you have to look at the denominator (the bottom number) and try to find the lowest multiple between both of the numbers that is on the bottom (in this case it is 2 and 5). Sometimes you have to multiply both denominators together to get a LCD.
Example of multiplying two denominators together to get an LCD:
1/3 and 1/13 LCD is 39 because you multiply 3 and 13.
1/5 and 1/4 LCD is 20 because you multiply 5 and 4.
To solve this problem you need to know the law of cosines.
Answer:
see below
Step-by-step explanation:
a bearing is the angle in degrees measured clockwise from north.
Triangle ABC is a right triangle
Tan C = opp side / hyp
tan C = AB / CA
tan C = 30/30
tan C = 1
taking the inverse tan
tan ^ -1 tan C = tan ^ -1 ( 1)
C = 45 degrees
This is 90+45 degrees from North
135 degrees from north
Tan B = opp side / hyp
tan B = AD/BA
tan B = 45/30
tan B = 3/2
taking the inverse tan
tan ^ -1 tan B = tan ^ -1 ( 3/2)
D = 56.30993247
Add 180 degrees
180+56.30993247
236.3099325 from north
