The formula for the area of a circle is
A=πr²
plug in the data we know
A=π4²
A=16π
Since we only we need to find the area of the shaded section, we need to twerk this equation a bit. (remember that the shaded section is 84/360 of the original circle.)
A=84/360*16π
A=11.728
A=11.73 units²
answer: <span>A=11.73 units²</span>
Answer:
<h2><em>
2x-4</em></h2>
Step-by-step explanation:
Area of a rectangle = Length * Width
Given parameters
Area A = 8x2 – 10x – 12
Length of the rectangle = 4x+3
Required
Width of the rectangle.
Substituting the given parameters into the formula
8x2 – 10x – 12 = (4x+3)*width
width = 8x2 – 10x – 12
/4x+3
S
Factorizing the numerator
8x² – 10x – 12
= 2(4x²-5x-6)
= 2(4x²-8x+3x-6)
= 2(4x(x-2)+3(x-2))
= 2(4x+3)(x-2)
Width = 2(4x+3)(x-2)/4x+3
Width = 2(x-2)
Width = 2x-4
<em>Hence the width of the rectangle is 2x-4</em>
Answer:
The length of the diagonal HJ is 10.82 units
Step-by-step explanation:
* Lets revise the rule of the distance between two points
- 
, where
and 
are the two points
* Lets use this rule to find the length of the diagonal HJ
∵ The coordinates of point H are (-4 , 3)
∵ The coordinates of point J are (5 , -3)
∴ 
and 
∴ 
and 
- Lets find the length of the diagonal HJ by using the rule above
∴ HJ = 
∴ HJ = 
∴ HJ = 10.82
* The length of the diagonal HJ is 10.82 units
Answer:
4y = -m-1 bcoz u use the formula y-y1 = (y2-y1/x2-x1) times (x-x1)
Answer:
7 + 8 = 7 + 7 + 1.
Step-by-step explanation:
We know that, 'double plus one facts' is used to make the addition of numbers easy.
For e.g. we have 8 + 9 = 17. This addition can also be done as 8 + 8 + 1 = 17 i.e. we write first term twice and add 1 to get the result.
Hence, we give the name to this type of addition as 'double plus one'.
Now, we have to use this fact for 7 + 7.
So, we consider 7 + 8 = 15.
Therefore, 7 + 8 can be written as 7 + 7 + 1
Hence, the double plus one facts for 7 + 7 is 7 + 8 = 7 + 7 + 1.
