Answer:
The perimeter is 43.6 cm
Step-by-step explanation:
In this question, we are tasked with calculating the perimeter of the sector.
Firstly, we define what a sector is. A sector is part of a circle which is is blinded by two radii and an arc. Hence we say a sector contains two radii.
Thus, to calculate the perimeter of the sector, we need the length of the arc added to 2 * length of the radius
Let’s calculate the length of the arc.
Mathematically, this is theta/360 * 2 * pi * r
where theta is the angle subtended at the middle of the circle which is 135 according to the question, and our radius is 10cm
Thus, we have
135/360 * 2 * 22/7 * 10 = 23.57 cm
Adding two radii to this, we have;
23.57 + 2(10)
= 23.57 + 20 = 43.57 = 43.6 cm to 1 decimal place
If they are equal then,
5x-3=2x+25
3x=22
X=7 +1/3=7.(3)
Answer:
Step-by-step explanation:
Let x be the number of hours worked by Joshua.
Shirts ironed by Joshua in an hour = 25
Number of shirts ironed by Joshua in x hours = 25x
The number of hours worked by Luke = (x + 3)hours
Shirts ironed by Luke in an hour = 35
No. of shirts ironed by Luke in x hours = 35*(x + 3) = 35x+35*3 = 35x + 105
No. of shirts ironed by Luke and Joshua = 345
25x + 35x +105 = 345
60x = 345 - 105
60x = 240
x = 240/60
x = 4 hours
The number of hours worked by Joshua = 4 hours
The number of hours worked by Luke = 4 +3 = 7 hours
Answer:
Step-by-step explanation:
Combine like terms:
Multiply both sides by -10:
