Answer:
The correct answer would be 2:5
Step-by-step explanation:
Answer:
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Step-by-step explanation:
If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it sweeps an area of 48 cm, we will follow the steps below;
area of a sector = Ф/360 × πr²
where Ф is the angle, r is the radius π is a constant
from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5
Ф =? area of the sector= 48 cm² π = 
we can now go ahead to substitute the values into the formula and solve Ф
area of a sector = Ф/360 × πr²
48 = Ф/360 ×
× (3.5)²
48 = Ф/360 ×
×12.25
48 = 269.5Ф / 2520
multiply both-side of the equation by 2520
48×2520 = 269.5Ф
120960 = 269.5Ф
divide both-side of the equation by 269.5
448.8≈Ф
Ф = 448.8°
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Let, Number of multiple choice = x
Number of short answer question = y
Now, x + y = 20
& 3x + 11y = 100
Multiply 1st equation by 3, and subtract from eq,2,
3x + 3y = 60
After subtraction,
8y = 40
y = 40/8
y = 5
Now, substitute in eq (1),
x + 5 = 20
x = 15
In short, There are 15 Multiple choice & 5 short answer questions
Hope this helps!
Answer:
45x
Step-by-step explanation:
Just expand and coolect to get 9x5=45 and add x