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°
Answer:
18
Step-by-step explanation:
<u>Answer:</u>
<u>Step-by-step explanation:</u>
The sum of interior angles of a quadrilateral is 360°.
If we consider the measure of one of the unknown angles to be
°, we can set up the following equation:

Now we can solve for
:
⇒ 
⇒
[subtracting 192° from both sides]
⇒ 
⇒
[dividing both sides by 2]
⇒ 
Therefore, the other two angles each have a measure of 84°.
Answer:
2/5of a number is 80 5/5 = 1 32/1 = simplified = 32
3/4 of the same number 0.75