Answer:66
Step-by-step explanation:
Answer:
Teo is 11 years old and Richard is 26 years old.
Step-by-step explanation:
Let R be the age of Richard and T be the age of Teo.
<u><em>First set up the equations:</em></u>
The combined age of Teo and Richard is 37:
R+T=37
Richard is four years old than twice Teo's age:
R=2T+4
<u><em>Then, solve the equations:</em></u>
Substitute (2) to (1) and solve for T:
(2T+4)+T=37
3T=11
T=11
Solve for R using (2):
R=2(11)+4
R=22+4
R=26
Answer: Choice B
12.5 < x < 18.9
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Explanation:
We have a triangle with these side lengths:
- a = 10
- b = 16
- c = x = unknown
Let's assume that b = 16 is the largest side of this triangle.
By the converse of the pythagorean theorem, we need 
to be true in order for an acute triangle to happen.
So,
Now let's consider the possibility that the missing side x is actually the longest side.
Using the same theorem as before, we would say,
We found that x > 12.5 and x < 18.9
This is the same as saying 12.5 < x and x < 18.9
Put together, they form the approximate answer of 12.5 < x < 18.9
Answer:
The relationships are correct and valid
Step-by-step explanation:
The correct question is as follows;
Verify the following
i.[ -3/4]^3 = -27/64
ii. [-2/3]^6 = 64/ 729
We have the solution as follows;
i) we have;
(-3/4)^3
That means ;
-3^3 = -3^3 = -27
4^3 = 64
so;
(-3/4)^3 = -27/64
ii) (-2/3)^6
(-2)^6 = 64
3^6 = 729
Thus;
(-2/3)^6 = 64/729
