Area of a rectangle: A = 24 a² b
Length: L = 8 a b²
Width: W = A / L = 24 a² b / 8 a b²
Answer: W = 3 a / b
Answer:
∠XDQ : 41°
∠UXD: 139 °
Step-by-step explanation:
Allow me to rewrite your answer for a better understanding and please have a look at the attached photo.
<em>A segment XD is drawn in rectangle QUAD as shown below.
</em>
<em>What are the measures of ∠XDQ and ∠UXD ?
</em>
My answer:
As we can see in the photo, ∠ADX = 49° and ∠ADU =90°
=> ∠XDQ = ∠ADU - ∠ADX
= 90° - 49° = 41°
In the triangle ADX, we can find out the angle of ∠DXA
= 180° - ∠DAX - ∠ADX
= 180° - 90° - 49°
= 41°
=> <em>∠UXD = </em>180° - ∠DXA (Because UA is a straight line)
=180° - 41°
= 139 °
Answer:
32 inches cubed
Step-by-step explanation:
Multiply the length by the width: 4*4=16
Multiply by 12: 16*1/2=8
Multiply by height: 4*8=32
Hope this helped!
Answer:
C. 9
Step-by-step explanation:
y(x+x) +3
{x= 1 , y= 3}
Putting values..
3 (1+1) +3
= 3 (2) +3
= 6 + 3
= 9
So, the option C. 9 is the correct answer.
Answer:
x^2 -20x + 100
Step-by-step explanation:
How this works is that you multiply each number by every other number, so.
(x+a)(x+b) so you do x times x since the parenthesis multiplies them together. Then you do x times b.
Then you do a times x since a is the next number in the first pair. then you do a times b.
(* is the sign for multiplication for the sake of simplifying it and to be easier than doing something like x x x where you are multiplying x together with x.)
So in the expression (x + a)(x + b) you are basically doing
x * x + x * b + a * x + a * b
In your case, a is = to -10 and b is equal to -10
So your expression would be
x * x + x * -10 + -10 * x + -10 * -10
so x times x is x^2 and x times -10 is -10x You are doing -10 * x twice so it is -20x and -10 times -10 is 100
So the final equation would be x^2 plus -20x plus 100 or
x^2 + (-20x) + 100
which is
x^2 -20x + 100
Hope this helps!
