Answer:
and then we have:

Step-by-step explanation:
From the info given by the problem we need an integer defined as the smallest positive integer that is a multiple of 75 and have 75 positive integral divisors, and we are assuming that 1 is one possible divisor.
Th first step is find the prime factorization for the number 75 and we see that

And we know that 3 =2+1 and 5=3+2 and if we replace we got:

And in order to find 75 integral divisors we need to satisify this condition:
such that 
For this case we have two prime factors important 3 and 5. And if we want to minimize n we can use a prime factor like 2. The least common denominator between 2 and 4 is LCM(2,4) =4. So then the need to have the prime factors 2 and 3 elevated at 4 in order to satisfy the condition required, and since 5 is the highest value we need to put the same exponent.
And then the value for n would be given by:
and then we have:

Answer:
45°
Step-by-step explanation:
Ok, so, there is one thing I need to point out. 45° is the 'main' value if you assume 0°<A<180°. However, sin, cos, and tan have different periods which means that there are infinite values of A where tanA = 1. The general notation that you could put is A = 45° + (n*180°) where n is just a number. For example, if n = 1, you would get an angle of 225°. If you plug tan225° into the calculator, you get 1. If you did radians, you could write A =
. But ignore that if you haven't. Basically, the answer would be 45° if you are assuming A is between 0° and 180°. Also, you could have just used your calculator and types inverse tan function (
) and plug in 1 to find the primary answer of 45.
Answer:
is linearly dependent set.
Step-by-step explanation:
Given:
is a linearly dependent set in set of real numbers R
To show: the set
is linearly dependent.
Solution:
If
is a set of linearly dependent vectors then there exists atleast one
such that 
Consider 
A linear transformation T: U→V satisfies the following properties:
1. 
2. 
Here,
∈ U
As T is a linear transformation,

As
is a linearly dependent set,
for some 
So, for some 

Therefore, set
is linearly dependent.
C = 180 - A - B
And
C = 180 - (A+B)
Hope I can help you :)
Brainliest answer :)) ?
8g+10=35+3g You need to find what number g is, just plug in random numbers till both sides are equal