-189 is the answer to your math question
Answer:
<1 = 114° and <2 = 66°
Step-by-step explanation:
The two angles measure 66 degrees and 114 degrees because the sum of supplementary angles is 180 degrees.
Explanation:
Supplementary angles are two angles with a sum of 180 degrees.
Let the smaller angle = x
If the two angles differ by 48 degrees, the bigger angle is 48 degrees more and equals
x+48
.
The sum of the two angles is 180, so...
x+x+48=180
Add the variableterms
2x+48=180
Subtract 48 from both sides
2x=132
Divide both sides by 2
2x/2=132/2
x=66
This is the measure of the smaller angle.
The bigger angle = x+48=114
Answer:
19.0% (1dp)
Step-by-step explanation:
$625-$525=$100
$100/$525=4/21×100=19.0% (1dp)
Based on the information provided, it follows that there are 1,728 possible seating arrangements.
<h3>How can we find the number of possible arrangements?</h3>
To find the number of arrangements in this problem situation we must take into account the following key factors:
- Chris only has 1 possible seat.
- Jo has 2 possible seats.
- Dave, Alex, and Barb have 3 possible seats.
- Gareth, Fred, and Eddie have 3 possible seats.
- There are 4 other adults who do not have a preference in seats but have the possibility of using 4 seats.
According to the above, we must use the factorization of these numbers to find out the number of possibilities we have to seat them.
<h3>What is factoring?</h3>
A factorial function is a mathematical tool that is characterized by using the exclamation mark “!” behind a number. The factorial function is used to express that the number accompanied by the symbol must be multiplied by all positive integers between that number and 1.
In accordance with the above, in the problem situation that we must solve, we must use the factorial function with the possibilities of:
- Dave, Alex and Barb: 3! = 3 × 2 × 1 = 6
- Gareth, Fred and Eddie: 3! = 3 × 2 × 1 = 6
- Other 4 adults: 4! = 4 × 3 × 2 × 1 = 24
Subsequently, to calculate the number of total possibilities of the entire group we must multiply the possibilities of each group and individual as shown below:
- Number of possibilities = 1 × 2 × 6 × 6 × 24
- Number of possibilities = 1728
Learn more about the factorial function in: brainly.com/question/16674303
Answer:
15
Step-by-step explanation:
1. Plug in the values.
q=10
p=-6
10÷2-(10)(-6)÷6
2. Use PEMDAS.
10÷2+60÷6
5+10
15
