Answer:
Area of ΔXYZ = n(r * r) square units
Step-by-step explanation:
Sides of ΔABC are 30 units, 40 units and 60 units.
Corresponding sides of another triangle XYZ are r times as long as the sides of ΔABC.
Therefore, sides of ΔXYZ will be, 30r units, 40r units and 60r units.
Perimeter of the triangle XYZ = 30r + 40r + 60r
= 130r units
If the area of ΔABC = n square units
Then the ratio of the area of ΔXYZ and ΔABC = (Ratio of the sides of ΔXYZ and ΔABC)²
Area of ΔXYZ = nr² ≈ n(r * r)
Therefore, Option (3) will be the answer.
Answer:
theta = 4.5642792103077898247
Step-by-step explanation:
0 <= theta < 2Pi sin(theta) = 1/2
so
2Pi sin(theta) = 1/2
Pi sin(theta) = 1/4
sin(theta) = 1/(4Pi)
sin(theta) = .0795774715459
theta = arcsin(.0795774715459) = 4.5642792103077898247
the parallel linear equation is:
y = (2/5)*x - 3
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How to find the parallel line?</h3>
Two lines are parallel if the lines have the same slope but different y-intercept.
Here we know the line equation:
y = (2/5)*x + 4
Then a parallel line is of the form:
y = (2/5)*x + c
Where c is different than 4.
We want this line to pass through (5, -1), then:
-1 = (2/5)*5 + c
-1 = 2 + c
-1 - 2 = -3 = c
Then the parallel linear equation is:
y = (2/5)*x - 3
If you want to learn about linear equations:
brainly.com/question/1884491
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Answer:
In 24 years.
Step-by-step explanation:
Let the sum of money be 100 which amounts to 200 ( doubles itself ) in 6 years time. Interest on 100rs. Is 100. Putting the following in simple interest formula. You get :
Now when 100 will become 5 times i.e 500 the interest will be 400rs.
Putting in simple interest formula:
So, in 24 years, it will become 5 times.
4w(50g/w)(2500p/v)(kg/1000g)=500kg
Though technically kg are mass, the weight would be 500kg.9.8m/s^2=4900N
