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FromTheMoon [43]
3 years ago
11

I don't understand how to solve this please help

Mathematics
2 answers:
Firdavs [7]3 years ago
8 0
PI x r^2 is the equation for the area of a circle. Clearly, we have 3 quarters of a circle here, so we can divide our answer by 4 and then multiply it by 3.

PI x 10^3 = 314.159...

Divide by 4 = 78.540...

Multiply by 3 = 235.619...


Therefore the answer is the third one.
I am Lyosha [343]3 years ago
3 0
Area=pi x radius squared so (3.14)(10)squared = 314
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An open box is to be made from a 3 ft by 8 ft rectangular piece of sheet metal by cutting out squares of equal size from the fou
Burka [1]

Answer:

Maximum volume of the box will be 7.41 cubic feet.

Step-by-step explanation:

Open box has been made from a metal sheet measuring 3 ft and 8 ft.

Let four square pieces were removed from the four corners with one side measurement x ft.

Volume of the open box = Length × width × height

Length of the box = (3 - 2x) ft

Width of the box = (8 - 2x) ft

Height of the box = x ft

Volume of the box = (3 - 2x)(8 - 2x)x

V = (24 - 6x - 16x + 4x²)x

V = 24x - 22x² + 4x³

Now we take the derivative of V with respect to x and equate the derivative to zero,

\frac{d}{dx}(V)=\frac{d}{dx}(24x - 22x^{2}+4x^{3})

V' = 24 - 44x + 12x²

V' = 0

12x² - 44x + 24 = 0

3x² - 11x + 6 = 0

3x² - 9x - 2x + 6 = 0

3x(x - 3) - 2(x - 3) = 0

(3x - 2)(x - 3) = 0

(3x - 2) = 0

and (x - 3) = 0

Therefore, x = 3, \frac{2}{3}

For x = 0.67

Length of the box = (3 - 2x) = 3 - 1.34

                              = 1.66 ft

Width of the box = (8 - 2x) = 8 - 1.34

                            = 6.66 ft

Volume of the box = 0.67 × 1.66 × 6.66

V = 7.41 cubic feet.

Similarly, for x = 3,

Length of the box = (3 - 2\times 3) = -3

which is negative but the length of the box can not be negative.

Therefore, maximum volume of the box will be 7.41 cubic feet.

6 0
3 years ago
HELP PLEASEEEEE!!!!!
Gekata [30.6K]
1/3 of 9/5 is 3/5


1/3*9/5 = 9/15 = 3/5


Hope this helps!
3 0
2 years ago
Given square NOWR, what is the value of x and y?
Rina8888 [55]

Answer:

x = 4, y = 9

Step-by-step explanation:

The angles in a square are right, that is 90°

The diagonals bisect the angles , then

6x + 21 = 45 ( subtract 21 from both sides )

6x = 24 ( divide both sides by 6 )

x = 4

------------------------------------------------

The sides of a square are congruent , then

10y - 29 = 5y + 16 ( subtract 5y from both sides )

5y - 29 = 16 ( add 29 to both sides )

5y = 45 ( divide both sides by 5 )

y = 9

8 0
3 years ago
In complete sentences explain how you would simplify √8/2.
Dovator [93]

Answer:

To find the square root of any number you must see what the number that you are trying to find the square of then you look at it and think what number times itself equals this number that you are trying to find the square root of the you solve it...

But in this case you have to divide 8 by 2 then find the square root of 4 which is 2

So there is your answer, Hope this helps:)

Step-by-step explanation:

Well, the answer is 2.

7 0
3 years ago
Try This one out and I’ll give you brainliest no links or I will report you Thank you
sladkih [1.3K]

Answer:

32. steps below.

Step-by-step explanation:

So calculate 4(2x2^3-8)

=

4(2^4-8)

calculate

4(16-8)

Then get

4x8=32.

3 0
2 years ago
Read 2 more answers
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