You need the angle of the line between the shadow and the line from the extreme of the shadow to the cup ot the tree.
Suppose that the angle is the same of a right triangle with a base of 5 ft and a tall of 2 ft.
=> 2/5 = x / 30ft => x = 30ft * 2 / 5 = 12ft
=> The tree is 12 ft tall.
And the two triangles are similar (they have same angles).
Answer: 22
Step-by-step explanation:
Evaluate g + 3h - 6 when g = 10 and h = 6.
Substitute the values of g and h into the expression :
10 + 3(6) -6.......open the bracket
= 10 + 18 - 6
=28 - 6
= 22
:
Answer:
Step-by-step explanation:1
When ever you have percentages, it should be helpful to bear in mind you can express them as multipliers. In this case, it will be helpful.
So, if we let:
a = test score
b = target score
then, using the information given:
a = 1.1b + 1
a = 1.15b - 3
and we get simultaneous equations.
'1.1' and '1.15' are the multipliers that I got using the percentages. Multiplying a value by 1.1 is the equivalent of increasing the value by 10%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the simultaneous equations, we can just solve them now:
There are a number of ways to do this but I will use my preferred method:
Rearrange to express in terms of b:
a = 1.1b + 1
then b = (a - 1)/1.1
a = 1.15b - 3
then b = (a + 3)/1.15
Since they are both equal to b, they are of the same value so we can set them equal to each other and solve for a:
(a - 1)/1.1 = (a + 3)/1.15
1.15 * (a - 1) = 1.1 * (a + 3)
1.15a - 1.15 = 1.1a + 3.3
0.05a = 4.45
a = 89
