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Answer: 71

Step-by-step explanation:

Answer:

In terms of pi: 100pi cm

In terms of 3.14: 314 cm

Step-by-step explanation:

The formula for area of a circle is pi*r². If we plug in the values, we can figure out the answer.

By solving a quadratic equation, we will see that the border must measure 1 inch.

The dimensions of the paper are 8 inches by 11 inches. If we have a border of width X all around the text, the dimensions of the text will be:

8 in - 2x by 11in - 2x.

The area of this rectangle will be:

A = (8 in - 2x)*(11in - 2x)

And we know that the area must be 54 square inches, then we need to solve:

54 in^2 =  (8 in - 2x)*(11in - 2x)

54 in^2 = 88 in^2 - (2x)*8in - (2x)*11in + 4x^2

54 in^2 = 88 in^2 - (38 in)*x + 4x^2

This is a quadratic equation, we can rewrite this as:

0 = 4x^2 - (38 in)*x + 88 in^2 - 54 in^2

0 = 4x^2 - (38 in)*x + 34 in^2

The solutions are given by Bhaskara's formula, these are:

[tex]x = \frac{-(-38 in) \pm \sqrt{(-38 in)^2 - 4*4*(34 in)^2} }{2*4} \\\\x = \frac{-(-38 in) \pm 30 in }{8} \\[/tex]

We only care for the solution that is on the wanted range, so we use the negative sign of the plus-minus sign.

x = (38 in - 30 in)/ = 1 in

So the border must measure 1 inch.

If you want to learn more about quadratic equations, you can read:

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Step-by-step explanation:

Two corresponding sides and two corresponding angles are equal

Answer:

the coefficient is 96 and the exponent is 16... should I explain how?

The solution of the expression is 2.486 * 10⁻².

Scientific Notations are used to write very small and very large numbers.

The expression is (9.2 * 10⁷ ) / (3.7 *10⁹)

The exponent rule will be applied to solve this expression

[tex]\rm \dfrac{a^m}{a^n} = a^{m-n}[/tex]

9.2/3.7 = 2.486

10⁷ / 10⁹ = 10⁻²

The solution of the expression is 2.486 * 10⁻².

To know more about Scientific Notation

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Answer:

10.9 pounds

Step-by-step explanation:

50 ÷ (2.3*2) = 10.869

Answer:

cccccccccccccccccccc

Step-by-step explanation:

cccccccccccccccccccccccc

Answer:

C

Step-by-step explanation:

$4.29 for 12 oz

12 = 4.29

1 = ??
(1 * 4.29)/12 = 4.29/12 = 0.3575 is the lowest amongst others

The answer is C

Here is some help

Answer:

x=2

Step-by-step explanation:

The minimum value of the function would be its vertex, where the x-coordinate is defined as [tex]x=-\frac{b}{2a}[/tex] in the form of [tex]ax^2+bx+c=0[/tex], so we expand the function first:

[tex]f(x)=(x-2)^2+4\\\\f(x)=x^2-4x+4+4\\\\f(x)=x^2-4x+8[/tex]

This is now in the form of [tex]ax^2+bx+c=0[/tex] and we use our rule:

[tex]x=-\frac{b}{2a}\\ \\x=-\frac{-4}{2(1)}\\ \\x=-\frac{-4}{2}\\ \\x=-(-2)\\\\x=2[/tex]

Thus, the minimum value of the function occurs when x=2

Answer: three more

Step-by-step explanation:

these are tally marks, one tally mark counts as one, during the fifth mark, it goes sideways across the other four. There are three more students who wanted cookies rather than popcorn because when you minus the numbers of students cookies from popcorn, you get three

Hope this helps

Please give brainliest

Thank you so much

Answer: 20

Step-by-step explanation:

Assuming g(x) = -4x + 1,

( -4 (-4) + 1) - (-4 + 1)

= (16 + 1) - (-3)
= 17 + 3

= 20

Answer:

So longest side is 6 units more then the shorter side

The third side is twice the length of the shortest side

The perimeter (all 3 sides added up) is 25.

What’s the 3 sides of the triangle.

So lets make variables.

Let’s make the shortest side of the triangle “s”.

The longest side is 6 units more then the shorter side so

S + 6 is the longest side.

The third side is twice the length of the shortest side so

2S is the third side

S of course is already the shortest side now solve.

s + 6 + 2s + s = 25 <— This is your equation

Now solve

4s + 6 =25

4s = 19

s = 4.75

The shortest side is 4.75

The longest side is 4.75 + 6 which is 10.75

The third side is 2 times the shortest side which is 4.75 * 2 which is 9.50

Answer:

Perimeter of a shape = sum of length of all sides

Let x = shortest side

Given:

⇒ perimeter:   x + (x + 6) + 2x = 25

                                      4x + 6 = 25

                                             4x = 19

                                               x = 4.75

Therefore,

Answer:

  30%

Step-by-step explanation:

To find the percentage spent on English, divide the amount of time spent on English by the total time, and express the fraction as a percent.

  Yesterday's time: Math, 35 minutes; English, 15 minutes

  English/Total = (15)/(15 +35) = 15/50 = 3/10

As a percentage, that is ...

  3/10 × 100% = 30%

Yesterday, you spent 30% of your homework time on English.

The two (2) methods that can be used to add these user accounts to Active Directory are:

Account management can be defined as a process through which administrators store, manage, monitor and optimize a database (accounts) on a computer system, especially for improved performance, availability and security.

In a database management system (DBMS), when many user accounts require an action, it is often most efficient and effective for the administrator to use an automatic method to perform the action.

In this context, the two (2) methods that can be used to add these user accounts to Active Directory without a manual creation of each account from scratch include the following:

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Answer:

The higher the slope, the steeper it is, the faster it increases. The faster we increase in the vertical direction as we increase in the horizontal direction. The graph of an increasing function has a positive slope. A line with a positive slope slants upward from left to right as in (a).

Step-by-step explanation:

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Answer: 175x + 20 ✅

Step-by-step explanation: 12x^2 + 31x = 175x

175x + 20

Answer:

I'm not sure what the question is.  I don't see an "=" sign, so I'll assume this is simply an expression and we are asked to factor it.

(4x+5)(3x+4)

Step-by-step explanation:

(4x+5)(3x+4) = 12x^2 + 31x + 20

If the equation is = 0, the solutions are x = -(3/4) and x = -(5/4)

Answer:

Step-by-step explanation

1/4s squared, square root of 32

bh3. A = pi(r) squared4

1/2 h (b1+ b2)5

pi(d)6 base x altitude7

1/2(ap)8

1/2(bh)

Answer:

1.) True

2.) False

3.) True

4.) True

Answer:

C(x) = 30x + 108.17

Hope this helps!

x = training sessions

$30 for each session (x) (independent variable)

$65. 94 and $42. 23 for monthly costs (fixed variable)

C(x) = 30x + (65.94+42.23)

C(x) = 30x + 108.17

Answer:

c. 73°

Step-by-step explanation:

Simply GNH is 47° by vertically opposite angle of MNL

NOW,

GNF+GNH+HNK=180° [ being straight line]

60+47+HNK=180

107+HNK=180

HNK=180-107=73

Answer:

2= 43°

1=137°

3= 137°

Step-by-step explanation:

.this is because 43° and 2 are vertically opposite angles.

.this is because 1 and 43° are on a straight line and angles on a straight line sum up to 180°.

.this is because 1 and 3 are vertically opposite angles.

To find the area of ​​different geometric figures, different mathematical formulas must be used, such as: A = Π x r², A = b x h, A = b x h, among others.

To calculate the area of ​​a circle we must use the following mathematical formula:

In this formula we have the value of π, which is equal to 3.14, and the value of r², which is equal to the radius of the circle squared. For example:

To calculate the area of ​​a rectangle it is necessary to use the following mathematical formula:

A = b × h, in this formula b is equal to the length of the base and h to the length of the height of the rectangle. For example:

To calculate the area of ​​a square it is necessary to use the following formula:

In this formula b represents the base of the base and c the length of the side of the square; we must take into account that the base and the side have the same length in a square. For example:

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Answer:

1)  (3 - 6x)(-8) = (-8)(3) - (-8)(6x) = -24 - (-48x) = -24 + 48x = 48x - 24

2) (-12)(2x - 3) = (-12)(2x) - (-12)(3) = -24x - (-36) = -24x + 36 = 36 -  24x

3) (10 - 2x)9 = (9)(10) - (9)(2x) = 90 - 18x

4) (-5)(11x - 2) = (-5)(11x) - (-5)(2) = -55x - (-10) = -55x + 10 = 10 - 55x

5) (1 - 9x)(-10) = (-10)(1) - (-10)(9x) = -10 - (-90x) = -10 + 90x = 90x - 10

6) (-6)(x + 8) = (-6)(x) + (-6)(8) = -6x + (-48) = -6x - 48

7) (-4 + 3x)(-8) = (-8)(-4) + (-8)(3x) = 32 + (-24x) = 32 - 24x

8) (-5)(1 - 11x) = (-5)(1) - (-5)(11x) = -5 - (-55x) = -5 + 55x = 55x -5

9) (-12x + 14)(-5) = (-5)(-12x) + (-5)(14) = 60x + (-70) = 60x - 70

Step-by-step explanation:

The distributive property is a(b + c) = ab + ac

Answer:

Please follow me back

Step-by-step explanation:

The Answer is 158

Answer:

Using volume formula in terms of cylinder and use units such as yd carefully for conversions

Step-by-step explanation:

Diameter = 3 yd

Radius (r) = 3/2 = 1.5 yd

height (h) = 4 yd

Volume (V) = πr²h

                 =π * (1.5)² * 4 =π *2.25 *4

                 = 9π cubic yd

Given :-

To Find :-

Solution :-

Firstly lets calculate radius of cylinder, as we know that;

Putting all values we get;

➸ Radius = 5/2

➸ Radius = 2.5 yd

Now let's calculate its volume, as we know that;

Putting all values we get;

➸ Volume(cylinder) = 3.14 × (2.5)² × 4

We can write it as;

➸ Volume(cylinder) = 3.14 × 4 × 2.5 × 2.5

➸ Volume(cylinder) = 12.56 × 6.25

➸ Volume(cylinder) = 78.5 cubic yd

Answer:

It would be 7cm

Step-by-step explanation:

please find step by step explanation on the picture

Answer:

BC= 9.04

AC= 15.0

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Answer:

  BC ≈ 9

  AC ≈ 15

Step-by-step explanation:

The side adjacent to the given angle is the one whose length is known, so the relevant trig relations are ...

  Cos = Adjacent/Hypotenuse   ⇒   cos(37°) = AB/AC

  Tan = Opposite/Adjacent   ⇒   tan(37°) = BC/AB

Then the unknown sides are ...

  AC = AB/cos(37°) = 12/cos(37°) ≈ 15

  BC = AB·tan(37°) = 12·tan(37°) ≈ 9

__

Additional comment

Rounded to the nearest degree, angles 37° and 53° are the acute angles found in a 3-4-5 right triangle. Since the given side is adjacent to the smallest acute angle (not the hypotenuse), it will correspond to "4" in the 3-4-5 triangle. That means the scale factor is 12/4 = 3, and the other two sides are 3·3 = 9 and 3·5 = 15.

The numbers work out this way only by rounding to tenths or integers.

Answer:

-5ab, 5ab, and ab.

Step-by-step explanation: