Answer: The length of JK is 10.5 m
Step-by-step explanation:
Find the circumference C= dπ
C = 12π
C= 37.7
There are 360 degrees in a circle's circumference, so you can find the length of the arc by using the ratio of the arc to the whole circumference.
Multiply the Circumference by 100/360 (or 5/18 × 37.7)
The arc is 10.5 m
Answer:
x = 25
<B = 120 degrees
<C = 30 degrees
Step-by-step explanation:
Total angle measure of a triangle - 180 degrees
Add all the angles together to find the value of x
30 + 4x + 20 + x + 5 = 180
55 + 5x = 180
55 - 55 + 5x = 180 - 55
5x = 125
x = 25
<B = 4(25) + 20
<B = 100 + 20
<B = 120
<C = 25 + 5
<C = 30
Answer:
1)Area; A = ¼πr²
Perimeter; P = πr/2 + 2r
2)A = 19.63 cm²
P = 17.85 cm
3) r = 8.885 cm
4) r = 14 cm
Step-by-step explanation:
This is a quadrant of a circle. Thus;
Area of a circle is πr². A quadrant is a quarter of a circle. Thus;
Formula for Quadrant Area is; A = ¼πr²
A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.
Formula for the quadrant perimeter in the image given is;
P = 2πr/4 + 2r
P = πr/2 + 2r
B) When r is 5 cm;
A = ¼π(5)²
A = 19.63 cm²
P = π(5)/2 + 2(5)
P = 17.85 cm
C) when A is 100cm²:
¼πr² = 100
r² = 100 × 4/π
r² = 78.9358
r = √78.9358
r = 8.885 cm
D) when P = 50 cm.
50 = πr/2 + 2r
50 = (½π + 2)r
r = 50/(½π + 2)
r = 14 cm
Answer:
Step-by-step explanation:
-9/10 or -0.9
Answer:
No solution
Step-by-step explanation:
3(x-3)+5=3x+1+4
3(x-3)+5=3x+5
3x-9+5=3x+5
3x-4=3x+5
+4 +4
3x=3x+9
-3x -3x
0≠9
Hope this helps!
