If 24 marks is 60 %, then full marks is 40
<em><u>Solution:</u></em>
Given that 24 marks is 60 %
We are asked to find the full marks
Let the full marks be "x"
So out of "x" marks, he has got 24 marks
Therefore,
60 % of full marks = 24
60 % of x = 24
Therefore, full marks is 40
<h3><u>Method 2:</u></h3>
If 60 % is 24, then we have to find what is 100 %
60 % = 24
100 % = x
This forms a proportion, So we can solve the sum by cross multiplying
Thus full marks is 40
Answer: w=12, y=6√3
Step-by-step explanation:
Looking at the figure, we can split the triangle into 2 separate triangles. One on the left and one on the left. The triangle on the right is a 30-60-90 triangle. For this triangle, the hypotenuse is 2x in length. This is directly opposite of the right angle. The leg opposite to 30° is x in length. The leg opposite 60° is x√3 in length. Once you know the length of one side, you can plug in x to find the length of the other legs.
In this case, w and y are located on the same 30-60-90 triangle. Normally we would focus on that triangle to find our values, but in this instance, we don't have any values. We have to use the left triangle to find the leg that both triangles share.
The left triangle is a 45-45-90 triangle. For this triangle, the legs opposite of 45° is x in length. The hypotenuse is x√2. Since we know the hypotenuse, we can use it to find x.
x√2=8
x=8/√2
x=5.7 or 6 [Let's use 6 so that it is easier to work with a whole number]
Now that we know x, we can find w and y. Going back to the right triangle, we know the hypotenuse is 2x. We plug in 6 to find the length.
w=2x
w=2(6)
w=12
We know the leg opposite of 60° is x√3. We can plug in x.
y=6√3
Answer: 
Step-by-step explanation:
To find the function h(x), you need to subtract the function 
and the function 
.
Distribute the negative sign:
Now you can add the like terms:
Therefore, you get that the function h(x) is:
Step 1. Simplify
7x^2 - 8x - 4 - 2x^2 + 3x + 5 + 5x^2 - 10x - 8
Step 2. Collect like terms
(7x^2 - 2x^2 + 5x^2) + (-8x + 3x - 10x) + (-4 + 5 - 8)
Step 3. Simplify
10x^2 - 15x - 7
