Answer:
x = 16.8
Step-by-step explanation:
To get the value of x, we use Pythagoras’ theorem since what we have is a right angled triangle
Mathematically, we have it that;
the square of the hypotenuse (21) equals the sum of the squares of the two other sides
21^2 = 12.6^2 + x^2
x^2 = 21^2 - 12.6^2
x^2 = 282.24
x = √282.24)
x = 16.8
Answer:
110 degrees
Step-by-step explanation:
Parallels lines, when intersected by a straight line, form congruent angles. Therefore 110 is equal to angle 6
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
Answer:
r = 34
Step-by-step explanation:
add 32 to both sides,
