Answer:
Volume of the sphere
Step-by-step explanation:
Volume of the sphere= 
The sphere has given radius(r)= 11 units
Putting the value of the radius in the formula;
Volume of the sphere:
= 
Volume
The volume of the sphere with radius of 11 units is 
1, 3, 5, 7. 1 and 3 they are vertical meaning they are congruent. 3 and 5 are alternate interior angles meaning they are congruent. 7 and 5 are vertical so they are congruent.
<span>Cone Lateral Area = (<span>π<span> • r •<span> slant height)
</span></span></span></span><span>Cone Lateral Area = (PI * 3 * 5)
</span>Cone Lateral Area =
<span>
<span>
<span>
47.1
</span>
</span>
</span>
square inches
Cone Lateral Area =
<span>
<span>
47</span></span> square inches (rounded to nearest whole number).
Answer:
5832 ways
Step-by-step explanation:
Since the circle has 8 sectors and there is 4 colour,
Assuming the sectors are numbered 1 to 8,
Sector 1 : can be coloured with any of the 4 colour in 4 ways
Sector 2 can be coloured with any of the remaining 3 colours in 3 ways
Sector 3 in 3 ways without using the colour in sector 2
Sector 4 in 3 ways without using the colour in sector 3
Sector 5 in 3 ways without using the colour in sector 4
Sector 6 in 3 ways without using the colour in sector 5
Sector 7 in 3 ways without using the colour in sector 6
Sector 8 in 2 ways without using the colours in sector 1 and 7
Number of ways of colouring = 4*3*3*3*3*3*3*2 = 5832 ways
Sum of angles In all triangles are 180....line DAC is horizontal and therefore is 180 degrees ....so minus 180 degrees from 105 and you get 75 degrees....and since the sum of all angles in a triangle is 180...add 75 and 67 which would be 142 degrees ...then minus 142 from 180 degrees to get 38 degrees for x
