A tetrahedron is a triangular pyramid. It has four triangular faces and four vertices.
In the question, we are told that the length of the edges are all equal = 20m and the length from one corner to the center of the base = 11.5m
We sketch a diagram of a tetrahedron with the given measurement as shown below
To find the height, we will use the Pythagoras theorem
20² = h² + 11.5²
h² = 20² - 11.5²
h² = 267.75
h = √267.75
h = 16.36 (rounded to two decimal places)
Answer:
Step-by-step explanation:
The expression can be fully factored as ...
3·5·(x-3)
Equivalent expressions can be formed by eliminating parentheses to give ...
15x -45
or by combining different pairs of factors:
Of course any of the terms can be broken apart and/or combined in different ways:
= 15(x -2) -15
= (7x -7) + 2(4x -19)
Answer:
Yes she has just enough
Step-by-step explanation:
3 eggs per each order of omelet
24 orders so 3x24=72
Let x be the amount of nickels and y be the amount of quarters in a jar. Totally there are 87 coins, then x+y=87.
Since nickel is 5 cent coin and quarter is 25 cent coin, then 5x+25y=1255 ($12.55=1255 cents). Solve this system:x=87-y and 5(87-y)+25y=1255.
435-5y+25y=1255,
25y-5y=1255-435,
20y=820,
y=820÷20,
y=41,
x=87-41=46.
Answer: 46 nickels and 41 quarters.
Space is a way of joining together points, lines and...
Shapes