Answer:
Step-by-step explanation:
We have been given an expression . We are supposed to combine like terms for our given expression.
We can see that are like terms as both of these terms have x variable.
Similarly, are like terms as both are constant.
Upon combining like terms, we will get:
Therefore, our required expression would be .
Answer:
Part (A): There are 9 integers between 5 and 31 which are divisible by 3.
Part (B): There are 6 integers between 5 and 31 which are divisible by 4.
Part (C): There are 2 integers between 5 and 31 which are divisible by 3 and by 4.
Step-by-step explanation:
Consider the provided information.
Part (A) we need to find how many integers between 5 and 31 are divisible by 3.
Between 5 and 31 there are 25 integers.
According to quotient rule:
That means either 8 or 9 integers are divisible by 3 as 8.33 lies between 8 and 9.
The integers are: 6, 9, 12, 15, 18, 21, 24, 27, 30
Hence, there are 9 integers between 5 and 31 which are divisible by 3.
Part (B) we need to find how many integers between 5 and 31 are divisible by 4.
Between 5 and 31 there are 25 integers.
According to quotient rule:
That means either 6 or 7 integers are divisible by 4, as 6.25 lies between 6 and 7.
The integers are: 8, 12, 16, 20, 24, 28
Hence, there are 6 integers between 5 and 31 which are divisible by 4.
Part (C) we need to find how many integers between 5 and 31 are divisible by 3 and by 4
Between 5 and 31 there are 25 integers.
Integers should be divisible by 3 and by 4, that means integers should be divisible by 3×4=12.
According to quotient rule:
That means either 2 or 3 integers are divisible by 3 and by 4 or 12, as 2.08 lies between 2 and 3.
The integers are: 12, 24,
Hence, there are 2 integers between 5 and 31 which are divisible by 3 and by 4.
Answer:
The value of b is 12.9 cm
The value of a is 15.3 cm
Step-by-step explanation:
see the attached figure to better understand the problem
<em>Find the value of b</em>
we know that
in the right triangle ABC
The function sine of angle of 40 degrees is equal to divide the opposite side to the angle of 40 degrees (AC) by the hypotenuse (AB)
so
Solve for AC
substitute the given value
therefore
The value of b is 12.9 cm
<em>Find the value of a</em>
we know that
in the right triangle ABC
The function cosine of angle of 40 degrees is equal to divide the adjacent side to the angle of 40 degrees (BC) by the hypotenuse (AB)
so
Solve for BC
substitute the given value
therefore
The value of a is 15.3 cm
