In the given problem there are several vital informations to take note off for completing the required answer to the question.
It has been assumed that the unknown number is = p
Now we can get to the desired equation for solving and finding the value of p.
(p + 7)/12 = 3
p + 7 = 3 * 12
p + 7 = 36
p = 36 - 7
= 29
So the value of the unknown number p is 29. I hope that the method i have used to solve this problem is clear to you and you can solve such type of problems in future without anyone's help.
<h3>Answer;</h3>
-Coplanar lines
A transversal must intersect two or more <u>coplanar</u> lines.
<h3>Explanation;</h3>
- Coplanar lines are lines that lie on the same plane.
- Examples of such lines include perpendicular lines, parallel line and any two straight lines that have a common point, such as the three edges of a triangle.
- A transversal cuts two or more parallel lines, which are coplanar, that is they lie on the same plane
Answer: Choice C) 2
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Explanation:
Using the law of sines, we get
sin(B)/b = sin(C)/c
sin(18)/7 = sin(C)/11
0.0441452849107 = sin(C)/11
11*0.0441452849107 = sin(C)
0.4855981340177 = sin(C)
sin(C) = 0.4855981340177
C = arcsin(0.4855981340177) or C = 180-arcsin(0.4855981340177)
C = 29.0516679549861 or C = 150.948332045013
There are two possibilities for angle C because of something like sin(30) = sin(150) = 1/2 = 0.5
Those approximate values of C round to
C = 29.05 and C = 150.95
If C = 29.05, then angle A is
A = 180-B-C
A = 180-18-29.05
A = 132.95
Making this triangle possible since angle A is a positive number
If C = 150.95, then angle A is
A = 180-B-C
A = 180-18-150.95
A = 11.05
making this triangle possible since angle A is a positive number
There are two distinct triangles that can be formed.
One triangle is with the angles: A = 132.95, B = 18, C = 29.05
The other triangle is with the angles: A = 11.05, B = 18, C = 150.95
The decimal values are approximate
Step-by-step explanation:
To determine the future value for the 401(k), we need to determine the amount contributed annually. It is stated that the amount the employee contributes to the fund is 9% of $45,624. $45,624(0.09) = $4,106.16 The employer contributes a maximum of 3% of the employee contribution. Therefore: $45,624(0.03) = $1368.72. Therefore, the total annual contribution is $5,474.88, giving a future value of $196,302.40. For the Roth IRA, the monthly contributions are $352.45 giving a future value of $152,636.09. Therefore, the 401(k) has a greater future value by $43,666.31.
