Answer:
x = 1/5(k-14)
Step-by-step explanation:
5x + 14 = k
Subtract 14 from each side
5x+14-14 = k-14
5x = k-14
Divide by 5
5x/5 = 1/5(k-14)
x = 1/5(k-14)
Answer:
3.3 cm
Step-by-step explanation:
From the above question, we can draw out a proportion
= Small pentagon = Large pentagon
= x/7 = 7/15
Cross Multiply
x × 15 = 7 × 7
15x = 49
x = 49/15
x = 3.2666666667 cm
Approximately= 3.3 cm
Answer: The answer is (C) 3 4 × 1 6 = 3 24
Step-by-step explanation: We are given a rectangular picture made of square boxes and we are to find among the given options which is modelled by the given picture.
In the diagram, there are 6 boxes lengthwise and 4 boxes breadthwise. Also, 3 × 4 boxes are painted yellow and 1 × 6 boxes are painted blue. The common boxes will be 3.
Therefore, the correct choice is 3 4 × 1 6 = 3 24
Hence, (C) is the correct option.
Step-by-step explanation:
Given,
Perimeter of the rectangle = 200cm
Breadth of the rectangle = 10 cm
Therefore, by the problem
=> 2(l+b) = 200cm
=> 2(l + 10) = 200cm

=> l + 10 = 100
=> l = 100 - 10
=> l = 90
<u>Hence, required length othe rectangle is 90 cm (Ans)</u>
Given:
A prism with right triangular base.
Base of triangle = 6 ft
Height of triangle = 8 ft
Height of prism = 7
To find:
The volume of the given prism.
Solution:
The volume of prism is:
...(i)
Where, B is the base area and h is the height of the prism.
In the given figure, the base of the prism is a right angle triangle with legs 6 ft and 8 ft. So, the area of the base is:




Substituting
in (i), we get


Therefore, the volume of the prism is 168 cubic ft.