Answer:
The first three terms of the sequence is 16,49,148.
Step-by-step explanation:
Given : Function 
, starting with x=5.
To find : What are the first three terms of the sequence defined by function ?
Solution :
To find the first three terms of the sequence, substitute the value of x in the function.
Input at x=5,
Input at x=16,
Input at x=49,
Therefore, The first three terms of the sequence is 16,49,148.
Answer:
B.
Step-by-step explanation:
Since 21 is divided by 3 you might think that it is equivalent but remeber you have to divide by both sides, so if you divide 21 by 7 it works but 28 by seven does not! Hope this helps!
Fifteen 250 ml glasses contain 3750 ml of the drink, and 750 ml of orange squash.
There are 3000 ml of water in 3750 ml of the drink.
3000 ml of water - 3750 ml of the drink
x l of water - 10 l of the drink
8 litres of water are needed to make 10 litres of this drink.
Step-by-step explanation:
(You might need to draw the triangle on a piece of paper to follow)
First I tried to find the height in terms of<em> a</em>.
If you draw the height in, the triangle is cut in half. That half triangle is a right triangle.
Using the Pythagoras theorem you can find out the height. Since you know that the hypotenuse is also <em>a </em>(because it's an equilateral triangle) the equation would be:
(a/2)² + h² = a²
Assuming that h = height
(It's a/2 because when you cut the triangle in half, the base of the right triangle became a/2)
This equation is simplified:
a²/4 + h² = a²
a² + 4h = 4a²
4h = 3a²
h² = 3a²/4
Now, remeber that everything is squared so it should be
h = a√3/2
Now we have the height. To get the area we need to multiply it by the base, which is <em>a, </em>and then divide it by 2<em>.</em>
a√3/2 × a ÷ 2
a²√3/2 ÷ 2
a²√3/4
And there you go. Thats the area.
