![4 \dfrac{3}{5} \times \dfrac{5}{12} =](https://tex.z-dn.net/?f=%204%20%5Cdfrac%7B3%7D%7B5%7D%20%5Ctimes%20%5Cdfrac%7B5%7D%7B12%7D%20%3D%20)
![= \dfrac{23}{5} \times \dfrac{5}{12}](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B23%7D%7B5%7D%20%5Ctimes%20%5Cdfrac%7B5%7D%7B12%7D%20)
You changed the mixed numeral into a fraction correctly.
Now you need to multiply the fractions.
Multiply the numerators together, and multiply the denominators together.
![= \dfrac{23 \times 5}{5 \times 12}](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B23%20%5Ctimes%205%7D%7B5%20%5Ctimes%2012%7D%20)
Now we could multiply out the numerator and denominator, and then we'd need to reduce the fraction, but before we multiply, we see there is a factor of 5 both in the numerator and in the denominator, so we can reduce before we multiply.
![= \dfrac{23 \times 5}{12 \times 5}](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B23%20%5Ctimes%205%7D%7B12%20%5Ctimes%205%7D%20)
![= \dfrac{23}{12}](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B23%7D%7B12%7D%20)
Problem 1
x = measure of angle N
2x = measure of angle M, twice as large as N
3(2x) = 6x = measure of angle O, three times as large as M
The three angles add to 180 which is true of any triangle.
M+N+O = 180
x+2x+6x = 180
9x = 180
x = 180/9
x = 20 is the measure of angle N
Use this x value to find that 2x = 2*20 = 40 and 6x = 6*20 = 120 to represent the measures of angles M and O in that order.
<h3>Answers:</h3>
- Angle M = 40 degrees
- Angle N = 20 degrees
- Angle O = 120 degrees
====================================================
Problem 2
n = number of sides
S = sum of the interior angles of a polygon with n sides
S = 180(n-2)
2700 = 180(n-2)
n-2 = 2700/180
n-2 = 15
n = 15+2
n = 17
<h3>Answer: 17 sides</h3>
====================================================
Problem 3
x = smaller acute angle
3x = larger acute angle, three times as large
For any right triangle, the two acute angles always add to 90.
x+3x = 90
4x = 90
x = 90/4
x = 22.5
This leads to 3x = 3*22.5 = 67.5
<h3>Answers:</h3>
- Smaller acute angle = 22.5 degrees
- Larger acute angle = 67.5 degrees
Answer:
d=222
Step-by-step explanation:
Answer:40
Step-by-step explanation:4 tablets twice a day is 8 (4*2=8). 3 tablets twice a day (3*2=6) for days 2-6 which is 5 days (6*5=30) is 30. The 7th day is 1 tablet twice a day (1*2=2). You’re multiplying the tablets Ben has to take times 2. Add them all together and you have 40.
Answer:
B - Her monthly average would have increased by $19.57. ... Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month ... Lisa is currently taking physics as one of her electives in school.
Step-by-step explanation: