Supplementary angle = 180 degrees
angle 1 = x
angle 2 = 3x (three times the supplementary)
3x + x = 180
4x = 180
x = 45 degrees
angle 1 = 45 degrees
angle 2 = 135 degrees
Answer:
f/g at t =3 will be 9/8
d/ddx(f(x)/g(x))=f'(x)d(x)-f(x)g'(x)/(g'(x))^2
rate of change=(6*8)+(9*9)/9^2
rate of change =43/27=1.5925
1.
1.2 x^4 ( 4 x² + 3 x + 1 ) = 4.8 x^6 + 3.6 x^5 + 1.2 x^4
2.
( 4 x - 3 ) ( 2 x² - 7 x + 1 ) = 8 x³ - 28 x² + 4 x - 6 x² + 21 x - 3 =
= 8 x³ - 34 x² + 25 x - 3
3.
( x² + 4 x - 3 ) ( 2 x² + x + 6 ) =
= 2 x^4 + x³ + 6 x² + 8 x³ + 4 x² + 24 x - 6 x² - 3 x - 18 =
= 2 x^4 + 9 x³ + 4 x² + 21 x - 18
The given partial fraction divided by the fraction of sugar in a scoop is
equal to multiplying the partial fraction by the reciprocal of the fraction.
- The number of scoops of sugar needed is <u>10 scoops</u>.
Reasons:
The amount of sugar the recipe Emma is making needs = 2 1/2 cups
Amount of sugar in each scoop of sugar = 1/4 cups
Required:
The amount of scoops Emma needs to add for the entire recipe
Solution:
The amount of sugar needed = 2 1/2 cups
Amount of sugar per scoop = 1/4 cups/scoop
Therefore;
Which gives;


Therefore;

The number of scoops she needs for the entire recipe is <u>10 scoops</u>
Learn more about division by fractions here:
brainly.com/question/20591763