Answer:
a =13/5
Step-by-step explanation:
f(x) = 6x − 5
f(5a) = 6*5a − 5=73
30a -5 = 73
Add 5 to each side
30a -5+5 = 73+5
30a =78
Divide by 30
30a/30 = 78/30
a =13/5
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
Answer:
25.7 feet
Step-by-step explanation:
We are solving a right angled triangle.
We are the Trigonometric function of Tangent
tan θ = Opposite side/Adjacent
Angle of Elevation = θ = 34°
Opposite side = Height
Adjacent = 30 feet
tan 34° = Opposite side/30 feet.
Opposite side = tan 34° × 30 feet
Opposite side = 20.235255505 feet
The height of the light house =
Opposite side(height) + Amelia's height
20.235255505 feet + 5.5 feet
= 25.735255505 feet
Approximately to the nearest tenth ≈ 25.7 feet