Answer:
<em>x = - 11 ; m∠B = 132° </em>
Step-by-step explanation:
(33 - 9x)° + 48° = 180°
33 - 9x + 48 = 180
81 - 9x = 180
- 9x = 99
<em>x = - 11</em>
m∠B = [33 - 9(- 11)]° = (33 + 99)° = 132°
<em>m∠B = 132°</em>
Answer:
-6
Step-by-step explanation:
Given that :
we are to evaluate the Riemann sum for
from 2 ≤ x ≤ 14
where the endpoints are included with six subintervals, taking the sample points to be the left endpoints.
The Riemann sum can be computed as follows:

where:

a = 2
b =14
n = 6
∴



Hence;

Here, we are using left end-points, then:

Replacing it into Riemann equation;






Estimating the integrals, we have :

= 6n - n(n+1)
replacing thevalue of n = 6 (i.e the sub interval number), we have:
= 6(6) - 6(6+1)
= 36 - 36 -6
= -6
Answer: There are 360360 ways to appoint the members of the cabinet.
Step-by-step explanation:
Since we have given that
Number of eligible candidates = 15
Number of spots available = 5
We need to find the number of different ways the members can be appointed where rank matters
For this we will use "Permutations":
So, the required number of different ways in choosing the members for appointment is given by

Hence, there are 360360 ways to appoint the members of the cabinet.
Answer:
9x - 3
Step-by-step explanation:
Hello!
A square has 4 sides.
We can factor out 4 from the expression to find the value of one side.
Factor:
- 36x - 12
- 4(9x) - 4(3)
- 4(9x - 3)
This means that each side of the square is 9x - 3 units long.