Write the equation for the inverse of y = cos 2x
1 answer:
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Thulani goes to both the library and the market for 5 more times during the year.
Step-by-step explanation:
Thulani goes to the library every 7 days. He goes to the market every 4 days.
We have to calculate the Least Common Multiple (LCM) to analyze the next common day on which he will go to both places.
The factors of 7 are: 1 x 7
The factors of 4 are: 2 x 2
Therefore, the LCM would be = 1 x 7 x 2 x 2
LCM = 28
LCM indicates that Thulani will go to both places on every 28th day.
To calculate the number of times (n) he will go to both places on same day. We can use the formula mentioned below:'
Here frequency represents the LCM = 28.
The number of days are:
August: 30 (we are excluding 1st August)
September: 30
October: 31
November: 30
December: 31
Total = 152
By putting the values in formula, we get
n = 5.42
As, the number of times can only be a whole number. Therefore, Thulani goes to both the library and the market for 5 more times during the year.
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Keywords: LCM, same day
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Answer:
The total surface area of triangular pyramid is 172 cm squared
Step-by-step explanation:
Triangular pyramid:
- Number of faces 4.
- Number of vertices of a triangular pyramid is 6.
- The volume is
. A= area of the pyramid's base and H= height of the pyramid.
- The surface area of triangular pyramid B+L. B= area of base, L= area of lateral surface.
Given that, the area of the base is 43 cm squared. Lateral faces with bases of 10 cm and heights 8.6 cm.
The 3 sides of the triangular pyramid is triangle in shape.
The area of triangle is .
The lateral surface area of the triangular pyramid is
cm squared
=129 cm squared
The total surface area of triangular pyramid is
=Area of the base + lateral surface area
=(43+129) cm squared
=172 cm squared