Start by adding together the shortest two sides, 7 and 8.7 inches. Result: 15.7 inches. Because this sum is greater than the longest side, 15.4 inches, it's possible to construct a triangle, whose largest angle will be close to 180 degrees.
Answer:
Standard Form:
2√ 73
Decimal form:
17.08800749...
Step-by-step explanation:

Thus, options A and D hold, from the simplifications above.
Let's consider the validity of the remaining options provided.




Hence, the correct options that apply are options A, D, E and F
Answer:
4/10
Step-by-step explanation:
Louise's family traveled 3/10 of the distance to her grandmother's house on Saturday.
Let us represent total distance = 1
The remaining distance left is calculated as:
1 - 3/10
Lowest common denominator = 10
= 10 - 3/10 = 7/10
They traveled 4/7 of the remaining distance on Sunday.
This is calculated as:
= 4/7 × 7/10
= 4/10
What fraction of the total distance to her grandmother's house was traveled on Sunday?
ANSWER
The general solution is
, where
is an integer
<u>EXPLANATION</u>
In order to solve the linear congruence;

We need to determine the inverse of
(which is a Bézout coefficient for 33).
To do that we must first use the Euclidean Algorithm to verify the existence of the inverse by showing that;

Now, here we go;



The greatest common divisor is the last remainder before the remainder of zero.
Hence, the
.
We now express this gcd of 1 as a linear combination of 33 and 280.
We can achieve this by making all the non zero remainders the subject and making a backward substitution.


Equation (2) in equation (1) gives,



The above linear combination tells us that
is the inverse of
.
Now we multiply both sides of our congruence relation by
.

This implies that;

.
Since this is modulo, the solution is not unique because any integral addition or subtraction of the modulo (280 in this case) produces an equivalent solution.
Therefore the general solution is,
, where
is an integer