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frutty [35]
3 years ago
9

A triangle has an area of 12 cm² and a height of 12 cm what is the base of the triangle

Mathematics
1 answer:
balu736 [363]3 years ago
5 0
1 cm is the base of the triangle
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-2 1/6 + -3 1/3 + -5 1/2
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Answer:

-2 1/6 + -3 1/3 + -5 1/2 = -11

Step-by-step explanation:

-2 + -3 + -5 = -10

-1/6 +- 1/3 + -1/2 = -1

-10+-1=-11

3 0
2 years ago
Standard algorithm for multiplication
Oksi-84 [34.3K]
A standard algorithm is a step-by-step way to solve a problem.

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3 years ago
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The equation A = x(x-4) describes the area, A, of a rectangular flower garden, where x is the width in feet.
BabaBlast [244]

Answer:

The flower garden width would be 6 ft

Step-by-step explanation:

A = 12 ft^2 = x(x + 4) becomes:

x^2 + 4x - 12 = 0, or (by completing the square) x^2 + 4x + 4 - 4 - 12 = 0

Thus, we have (x + 2)^2 - 16 = 0, or (x + 2)^2 = 16

Taking the square root of both sides yields x + 2 = ±4.

In this context only a positive x value makes sense:  x = 2 + 4  =>  x = 6.

The flower garden width would be 6 ft.  The other dimension would be 6 - 4, or 2, ft.

4 0
3 years ago
Using differential calculus, maximize the volume of a box made of cardboard (top is open) as shown in Figure A. 15, subject to t
lana [24]

The maximum volume of the box is 40√(10/27) cu in.

Here we see that volume is to be maximized

The surface area of the box is 40 sq in

Since the top lid is open, the surface area will be

lb + 2lh + 2bh = 40

Now, the length is equal to the breadth.

Let them be x in

Hence,

x² + 2xh + 2xh = 40

or, 4xh = 40 - x²

or, h = 10/x - x/4

Let f(x) = volume of the box

= lbh

Hence,

f(x) = x²(10/x - x/4)

= 10x - x³/4

differentiating with respect to x and equating it to 0 gives us

f'(x) = 10 - 3x²/4 = 0

or, 3x²/4 = 10

or, x² = 40/3

Hence x will be equal to 2√(10/3)

Now to check whether this value of x will give us the max volume, we will find

f"(2√(10/3))

f"(x) = -3x/2

hence,

f"(2√(10/3)) = -3√(10/3)

Since the above value is negative, volume is maximum for x = 2√(10/3)

Hence volume

= 10 X 2√(10/3)  -  [2√(10/3)]³/4

= 2√(10/3) [10 - 10/3]

= 2√(10/3) X 20/3

= 40√(10/27) cu in

To learn more about Maximization visit

brainly.com/question/14682292

#SPJ4

Complete Question

(Image Attached)

3 0
1 year ago
Which logarithmic graph can be used to approximate the value of y in the equation 3^y = 4?
pentagon [3]

Answer:

c

Step-by-step explanation:

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3 years ago
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