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3 years ago

What is the Square root of -5

Mathematics

2 answers:

lilavasa [31]3 years ago

8 0

The square root of -5

2.23606798

or

-2.23606798

elena-14-01-66 [18.8K]3 years ago

7 0

Answer:

2.23606798 i

or sqrt(-5)

Step-by-step explanation:

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Write a real life scenario that can be represented by the integer –55.

Lynna [10]

Comparing the temperature of a coolant before and after use in a machining process.

Step-by-step explanation:

The temperature of a coolant in the polar region was found to be modeled by the equation t=(8x-55)° where t is the final fluid temperature after being used for cooling ,x is the time the fluid is applied on the cutting edge and -55 is the normal temperature of the fluids used for cooling processes in a machine garage.

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7 0

3 years ago

Which of the following statements is true?. . A.A tangent is never a secant.. B.A secant is always a chord.. C.A chord is always

skelet666 [1.2K]

The correct answer is:

A) A tangent is never a secant.

Explanation:

A tangent is a line that touches a circle in exactly one point. A secant is a line that touches a circle in two different points.

Since a tangent only touches once and a secant touches twice, there is no way a tangent can be a secant.

3 0

3 years ago

What value(s) of x will make each equation below true

Dahasolnce [82]

We need to solve for x. Let's try problem b:

$2x-6=3x+1-x-7$

Let us first combine line terms. 3x and -x as well as 1 and -7 can be combined. Let's do that:

$2x-6=2x-6$

Since this is true, your answer would be:

All real numbers

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

Let's solve for problem c:

$3x+1=43$

Let's isolate x, so subtract 1 from both sides:

$3x=42$

Since x can't have a coefficient, divide both sides by 3:

$\frac{3x}{3}=\frac{42}{3}$

$x=14$

So, only the value of 14 would make this equation true.

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

Let's try problem d:

$4x-1=4x+7$

Let's get our whole numbers on the right side. Add 1 to both sides:

$4x=4x+8$

Subtract 4x from the right side on both sides:

$0=8$

Since this is not true, your answer would be:

No solution

7 0

4 years ago

a farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the bar

xenn [34]

The constraint for the maximum enclosed area is the amount the farmer is

willing to spend on fencing.

The width of the plot that will give the most area, y = 83. $\underline{\overline 3}$ feet

The length of the plot that will give the most area, y = 125 feet

Reasons:

The given parameters are;

The cost of fencing per foot = $20

The maximum amount the farmer is willing to spend = $5000

Number of sides of fencing = 3 sides

Cost of the west side of the = Split with neighbor

Solution:

Let, y, represent the length of the fence, and let x represent the width of

the fence, we have;

Length of fence required = y + 2·x

Cost of the fence = 20·y + 20·x + (20÷2)·x = 20·y + 30·x

Therefore;

Maximum amount to be spent on the fence, 5000 = 20·y + 30·x

$\therefore y = \dfrac{5000 - 30 \cdot x}{20} = 250 - \dfrac{3}{2} \cdot x$

$y = \mathbf{250 - \dfrac{3}{2} \cdot x}$

Area of a rectangle = Length × Width

The enclosed rectangular area of the fencing, A = y × x

$\therefore A = \left(250 - \dfrac{3}{2} \cdot x\right) \cdot x = 250 \cdot x - \dfrac{3}{2} \cdot x^2$

$\therefore A = -\mathbf{ \dfrac{3}{2} \cdot x^2 + 250 \cdot x}$

The leading coefficient of the quadratic function of the area is negative,

therefore, the function only has a maximum point.

At the point of the most area, the slope, $\dfrac{dA}{dx} = 0$

Finding the value of x at the maximum point, we get;

$\dfrac{dA}{dx} = \mathbf{ \dfrac{d}{dx} \left( 250 \cdot x - \dfrac{3}{2} \cdot x^2\right)} = 250- 3 \cdot x = 0$

Therefore;

$\mathrm{ The \ width \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ x = \dfrac{250}{3} \ feet = \underline{83.\overline 3 \ feet}$

$\mathrm{ The \ length \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ y = 250 - \dfrac{3}{2} \times \dfrac{250}{3} = 125$

The length of the plot that will give the most area, y = 125 feet

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6 0

3 years ago

A triangle has side lengths of 24 in., 32 in., and 40 in. Is the triangle acute, obtuse, or right? A) right. B) obtuse. C) acute

Feliz [49]

24, 32 , 40. Divide through by 8

3, 4, 5,

The 3 , 4, 5 reminds of the Pythagorean triple, which is a right angled triangle.

So a triangle with sides 24, 32, 40 is a right angled triangle.

Option A.

8 0

3 years ago

Read 2 more answers