Answer:
length=24 inches and width=12 inches
Step-by-step explanation:
Let width of the rectangular sheet be x.
Then its length is twice as width = 2x
From each corner 3-inch square is cut to form a tray.
The length of the tray formed = l = 2x-6 (total length - length of 2 squares cut out from both ends)
The width of the tray formed = b = x-6 (total width - length of 2 squares cut out from both ends)
Height of the tray formed = h = 3 inches
Volume of the tray = l*b*h = (2x-6)*(x-6)*3 = 324 cubic inches.
The length and width of the sheet is 24 and 12 inches respectively.
Answer:
<u>The correct answer is Hypotenuse = 3.61 units (Rounding to two decimal places)</u>
Step-by-step explanation:
We can use the Pythagoras theorem formula for solving this questions. It can be expressed symbolically as follows:
Hypotenuse² = First leg² + Second leg²
"The amount of units comprising the hypotenuse squared is equal to the addition of the measure of both legs squared."
Hypotenuse² = First leg² + Second leg²
Hypotenuse = √(First leg² + Second leg²
)
Replacing with the real values:
Hypotenuse = √(3² + 2²
)
Hypotenuse = √(9 + 4
)
Hypotenuse = √13
Hypotenuse = 3.60555
<u>Hypotenuse = 3.61 units (Rounding to two decimal places)</u>
The measure is one hundred eighty
Answer:
- f¯¹(x) =9x+18, for the pictorial(image) question
- what is the send question is it asking derivative or inverse
- If it is inverse f¯¹(x)=-x-2 as it is
- Or if it is derivative f'(x)=-1
Step-by-step explanation:
<h2>
For the image question f(x)=1/9x-2,f¯¹(x)=?</h2>
- f(x)=1/9x-2............given
- y=1/9x-2................swapping f(x) by y to Easily write
- x=1/9y-2................interchanging x and y
- 1/9y-2=x................changeling side of equation
- 9(1/9y-2)=(x)9.......multiplying both sides by 9 to override the fraction on the right side
- y-18=9x
- y=9x-18.................Return to where it were
- <em><u>f¯¹(x)=9x+18</u></em>..........swap back f¯¹(x) in the y
<h2>
For the question f(x)=-x-2,f¯¹(x)=?</h2>
- following the ☝️ arrangement
- y=-x-2
- x=-y-2
- -y-2=x
- -y=x+2
- y=-x-2
- f¯¹(x)=-x-2
Answer:
x=0.875
Step-by-step explanation:
2×+y=1
y=0.5
4×+2y=-1
4×+2.5=-1
1+2.5=4x
3.5=4x
x=0.875
