Answer:4times 10
Step-by-step explanation:
Answer:C 30
Step-by-step explanation: They all divide evenly when divided by 30.
Answer:
i. Curved surface area = 2310 
ii. Total surface area = 3696 
iii. volume = 12936 
Step-by-step explanation:
Perimeter of the circular base = circumference of the circle = 132 cm
circumference of a circle = 2
r
132 = 2
r
r = 
= 
r = 66 x 
= 3 x 7
= 21
radius = 21 cm
vertical height, h = 28 cm
Thus applying the Pythagoras theorem,
=
+ 
=
+ 
= 784 + 441
= 1225
l = 
l = 35 cm
The slant height is 35 cm.
i. Curved surface area =
rl
=
x 21 x 35
= 22 x 3 x 35
= 2310
curved surface area of the cone is 2310
.
ii. Total surface area =
+
rl
=
r(r + l)
=
x 21 (21 + 35)
= 22 x 3 x 56
= 3696
The total surface area of the cone is 3696
.
iii. volume of a cone = 
h
=
x
x
x 28
= 12936
The volume of the cone is 12936 
Answer: 55.56
Step-by-step explanation:
Let the unknown number be k
(45 x k) / 100 = 25
45k/100 = 25
multiply both sides by 100
45k = 25 x 100
45k = 2500
divide both sides by 45
k = 2500/45
k = 55.56
Answer:
The correct option is O B'
Step-by-step explanation:
We have a quadrilateral with vertices A, B, C and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line and D is 9 units away from the line.
Now we perform the reflection and we obtain a new quadrilateral A'B'C'D'.
In order to apply the reflection to the original quadrilateral ABCD, we perform the reflection to all of its points, particularly to its vertices.
Wherever we have a point X and a line of reflection L and we perform the reflection, the new point X' will keep its original distance from the line of reflection (this is an important concept in order to understand the exercise).
I will attach a drawing with an example.
Finally, we only have to look at the vertices and its original distances to answer the question.
The vertice that is closest to the line of reflection is B (the distance is 4 units). We answer O B'