Q. How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?
Solution:
Here we are given with the sides of the triangle as 5m, 16m and 5.
As the Triangle inequality we know that
The sum of the length of the two sides should be greater than the length of the third side. But this inequality fails here.
Hence no triangle can be made.
So the correct option is None.
Q.How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?
Solution:
Here we are given with the sides of the triangle as 6m, 2m and 7m.
As the Triangle inequality we know that
The sum of the length of the two sides should be greater than the length of the third side. The given values follows the triangle inequality.
Hence one triangle can be formed.
So the correct option is one.
Answer:
Correct option is C). {(0, −5), (2, 9), (−3, −26)}
Step-by-step explanation:
Given function is f(x)=7x-5.
Here, Options are given ordered pair
Let, x=0
f(x)=7x-5
f(0)=7(0)-5
f(0)=(-5)
The ordered pair is (0,-5)
Let, x=2
f(x)=7x-5
f(2)=7(2)-5
f(2)=9
The ordered pair is (2,9)
Let, x=(-3)
f(x)=7x-5
f(-3)=7(-3)-5
f(-3)=(-26)
The ordered pair is (-3,-26)
Thus, Correct option is C). {(0, −5), (2, 9), (−3, −26)}
Three times. The remainder would be 2.
Answer:
Step-by-step explanation:
Exponential function representing final amount with compound interest compounded continuously,
Here, A = Final amount
P = principal amount
r = Rate of interest
t = Duration of investment
For P = $9600
r = 6%
A = 2 × 9600 = $19200
By substituting these values in the formula,
ln(2) = 0.06t
t = 
t = 11.55245
t ≈ 11.5525 years
Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.
Therefore, $960000 will get doubled in 11.5525 years.
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
