Answer: 8
Step-by-step explanation:
Given
Mean of the numbers is 8
If the ratio is 1:1:2:2:3:3
Suppose the numbers are
Write the mean of the numbers
So, the numbers are
As the total numbers are even, median is the sum of the middle values
Answer:
volume of cylinder = 1232cm³
Step-by-step explanation:
from the question
volume of cylinder =?
height of the cylinder = 8cm
Base diameter of the cylinder = 14cm
to solve this problem we need to know the formula to calculate the volume of a cylinder
volume of cylinder = πr²h
or
volume of cylinder = π(d/2)²h........................... if we are given diameter and not radius.
D= 14cm
d = 14/2
d = 7cm
now,
volume of cylinder = π × (7)² × 8
volume of cylinder = 22/7 ×49 ×8
volume of cylinder = 22 × 7 × 8
volume of cylinder = 1232cm³
therefor the volume of the cylinder is equals to 1232cm³
Answer:
<em>The shaded region has an area of 1400 square units</em>
Step-by-step explanation:
<u>Area of Compound Shapes</u>
We are given a shape and it's required to calculate its area. The shape can be divided into three rectangles as shown in the figure attached below.
The lengths of these rectangles are x, y, and z.
The value of x can be calculated as:
x = 60 - 15 - 10 = 35
Similarly:
y = 60 - 15 = 45
z = y = 45
The first rectangle has dimensions of x by 10, thus its area is:
A1 = 35*10 = 350
The second rectangle has dimensions of 60 by 10:
A2 = 60*10 = 600
The third rectangle has dimensions y by 10:
A3 = 55*10 = 450
The shaded area is:
A = 350 + 600 + 450 = 1400
The shaded region has an area of 1400 square units
The shapes are similar.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Therefore,
Simplify:
Cross multiply:
42(10+x) = 57x
420 + 42x = 57x
420 = 57x - 42x
420 = 15x
x = (420÷15)
x = 28