If found the image that accompanies this problem, the central angle was 60°. Since the circumference of a circle is always 360°, the minor arc represents 60°/360° of the circle.
48 cm / (60°/360°) = 48 cm / (1/6) = 48 cm * 6/1 = 48 cm * 6 = 288 cm
The circumference of circle Z is 288 cm.
Answer:
Step-by-step explanation:
12.
the formula for the volume of a cone is V=1/3hπr²
549.5 = 1/3(21)(3.14)(x)^2
549.5 = 7(3.14)(x)^2
549.5 = 21.98(x)^2
549.5 = 21.98(x)^2
divide by 21.98 on both sides
25 = (x)^2
sqrt 25 = sqrt x^2
5 = x
13.
the formula for the volume of a sphere is V=4/3πr^3
v=4/3(3.14)9^3
v=4/3(3.14)729
v=(4.186)729
v=3052.08
14.
the formula for the volume of a sphere is V=4/3πr^3
523=4/3(3.14)r^3
523=4/3(3.14)r^3
523=(4.186)r^3
divide by 4.186 on both sides
124.92=r^3
cube root on both sides
4.998=r
round
5=r
<em><u>Please mark brainliest this took me a while</u></em>
We have been given angle A as 75 degrees and sides a = 2 and b = 3.
Using Sine rule, we can set up:

Upon substituting the given values of angle A, and sides a and b, we get:

Upon solving this equation for B, we get:

Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.
Hence, the triangle is not possible. Therefore, first choice is correct.
Answer: x=40 y=140
Step-by-step explanation:
To work out x:
The angles in a triangle always add up to 180.
You already have one angle which is 50 the bottom left angle is a right angle and right angles always equal 90. To work out x, do 50+90=140 then do 180-140=40.
To work out y:
Angles on a straight also add up to 180.
So as you have figured out what x is (40) you would take it away from 180 to give you y.
180-40=140
Hope this helps :)