solve by factoring x^2+5-14=0

Answer:

A = 36√3 - 12π

Step-by-step explanation:

Make 2 identical 30-60-90 triangles out of the "wedge"

For each 30-60-90 triangle:

Since the short leg is 6 the long leg is 6√3

short leg is the base and long leg is the height

a = (1/2)bh

a = (1/2)(6)(6√3)

a = 3(6√3)

a = 18√3

Since there are 2 triangles

a = 36√3

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

Then subtract off the area of the 120º sector

a = (120/360)πr^2

a = (1/3)π(6^2)

a  = (1/3)π(36)

a = 12π

Shaded area

a = 36√3 - 12π

Step-by-step explanation:

we have the areas of 2 right-angled triangles minus 1/3 the area of the circle (because the 120 degree segment of the circle is 1/3 of the whole 360 degree circle).

since the answer is asking for a square root, we need to aim for the result of a Pythagoras calculation.

basically, the area of a triangle is

1/2 × b×c × sin(A)

A being the angle between the 2 sides b and c. for any 2 sides of the triangle.

one triangle is from the outmost left point to the center of the circle and up to the 90 degree angle. the other triangle is then down to the second right angle.

we know all angles in such a triangle : 90, 120/2 = 60, 180-90-60 = 30.

remember, the sum of all angles in a triangle is 180 degrees.

so, via the law of sines we can then calculate all sides :

a/sin(A) = b/sin(B) = c/sin(C)

with the angles being opposite of the sides.

6/sin(30) = baseline/sin(90)

6/0.5 = baseline/1

12 = baseline

top side² + 6² = 12²

top side² = 12² - 6² = 144 - 36 = 108

top side = sqrt(108) = sqrt(36×3) = 6×sqrt(3)

we pick then top side and 6 as the 2 sides, so that we can use sin(90)=1 in the formula.

the area of the 2 triangles is then

6×sqrt(3)×6×sin(90) = 36×sqrt(3)

and the circle segment to be deducted is

pi×r²/3 = pi×6²/3 = pi×36/3 = pi×12

so, the complete answer is

A = 36×sqrt(3) - 12×pi

Answer:

111

Step-by-step explanation:

U calculate the 47°&22°and u cut 69° then u put 180-69=111°

Answer:

y = ac / (a - b - c)

Step-by-step explanation:

y(a - b) = c(y + a)

Distribute

ay - by = cy + ac

Subtract cy from both sides

ay - by - cy = ac

Factor out y

y(a - b - c) = ac

Divide both sides by (a - b - c)

y = ac / (a - b - c)

Answer: the answer is 2 14/15

Step-by-step explanation:

The solution of the expressions will be 0.44.

What is Number system?

A system of writing to express the number is called number system.

Given that;

The expressions are,

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

Now,

Solve the expression as;

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

Using the BODMAS rule to solve the expressions as;

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

⇒ −[−1 2/5 ÷ 1.26 ] − 2/3

⇒ - [ - 7 / 5 ÷ 1.26 ] − 2/3

⇒ - [ - 7 / 5 x 1 / 1.26 ] - 2 / 3

⇒ - [ - 7 / 6.3 ] - 2/3

⇒ 1.1 - 2/3

⇒ 1.1 - 0.66

⇒ 0.44

Therefore,

The solution of the expressions will be 0.44.

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#SPJ5

Answer:

yes, the question is proportional. if you multiply 9.50 by 2 you get 19 and so on and so forth. the constant rate is 9.50

Answer:

2059.20

Step-by-step explanation:

2024 increased by 17% is

2024 * 1.17 = 2368.08

2368.08 reduced by 15% is

2368.08 ÷ 1.15 = 2059.20

Answer:

8900

Step-by-step explanation: :þ

Answer:

Opposite angles are equal

Corresponding angles are equal

Angles on straight lines adds to 180

Angles in triangle adds to 180

180-98=82

82+85=167

180-167=13

Answer is 13

Answer:

D or B

Step-by-step explanation:

Answer:

-1.24*10^4

Step-by-step explanation:

Firstly observe the Digit term of the given operation under scientific notation. and now we are left with the 10th exponents which involves the basics of 10^a - 10^b = 10^a/b and so according to this rule...we have 10^2/10^4 which results in 10^-2

and thus we have −12460 = -1.24*10^4

From the given information, the amount that will be paid averagely each month will be $138.73.

From the information given, Tim Worker wants to purchase an automobile warranty costing $6,659 and he chooses to make 48 equal payments.

Therefore, the amount that will be paid each month will be calculated thus:

= $6,659 / 48

= $138.73

The amount will be $138.73.

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Answer: 18 fliers

Step-by-step explanation:

1/3 of 63 is 21.  Thus, the remaining fliers are 42.

4/7 of 42 is 24.  Thus, the remaining fliers are now 18.

Hope it helps :)

3. option d

2. option a

5. option f

Answer:

-10u-10

Step-by-step explanation:

Answer:

  y -5 = 4(x -2)

Step-by-step explanation:

The derivative of the function tells you the slope of the line at the point of tangency.

  f'(x) = 2x

  f'(2) = 4

Then the point-slope equation of the tangent is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -5 = 4(x -2) . . . . . tangent line with slope 4 through tangent point (2, 5)

Answer:

Step-by-step explanation:

8/9    8 is a cube but 9 is not.  8/9 is not a cube

27      27 = 3^3, a perfect cube

30      Not a cube

8/27   Both 8 and 27 are perfect cubes, and so 8/27 is one also.

1/27    This is equivalent to 1^3 / 3^3 and is a perfect cube.

27/64  Both 27 and 64 are perfect cubes, so 27/64 is one also

64        64 = 4^3, a perfect cube

1/9        9 is not a cube, so 1/9 is not one either.

Answer:

-4x + 2

Step-by-step explanation:

The outputs are decreasing by 4, so -4 is the slope, the coefficient for x.

The y- intercept is 2 because when x is zero, y is 2. You can find the y-intercept by adding 4 to -2, the output for when x is 1.

Answer:

y = -4x + 2

Step-by-step explanation:

First find the slope using this equation ....

y2 - y1/x2 - x2 =

plug in two ordered pairs (doesn't matter which one) ....

-2 - (-6)/1 - 2 =

-2 + 6/-1 =

4/-1 = -4

The slope is -4. The next blank is the y-intercept (0,y) ....

y = -4x + b

plug in any ordered pair ....

-2 = -4(1) + b

-2 = -4 + b

+4   +4

2 = b

Put it all together ....

y = -4x + 2

Answer:

x = 13

Step-by-step explanation:

Given: f ( x ) = 4.5 x 2 − 3 x + 2 To determine the critical points, we must first calculate the first derivative of the function.

Differentiate the given function with respect to x using the power rule of differentiation, d d x x n = n x n − 1.

f ′ (x) =    d        (4.5 x 2 − 3 x + 2)

        ______        

            d x  

Apply sum rule: d d x (f(x)) + g (x) = d d x f (x) + d d x g (x) } f ′ ( x) = d d x (4.5 x^2) + d d x (−3 x) + d d x (x) f ′ (x) = 9 x − 3

To determine the critical points, set f ′ (x) = 0 . 9 x − 3 = 0 9 x = 3 {∴ x = 13}

Therefore, the tangent line to f(x) is horizontal at the point x = 13

Hope this helps, have a nice day/night! :D

Answer:

Could you please show me the question?

Step-by-step explanation:

Answer:

323563

Step-by-step explanation:

Hello there!

To find the slope, we use the following formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{6-(-4)}{0-2} \\\frac{6+4}{-2} \\\frac{10}{-2} \\-5[/tex]

So the slope is -5.

Hope this helps!

~Just a cheerful gal

#CarryOnLearning

[tex]SilentNature[/tex]

Answer:

Bro what to find with this

Answer:

 which would mean it would  have the area  of   160 square feet  

Step-by-step explanation:

Answer:

y = 0.7 * 1.2^x

Step-by-step explanation:

(1, 0.84)

0.84 = ab^1

(2, 1.008)

1.008 = ab^2

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

To find b divide the second point by the first

ab^2 / ab^1 = 1.008 / 0.84

b = 1.2

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

To find a plug b = 1.2 into the first point

0.84 = a * 1.2^1

0.84 = a * 1.2

Divide both sides by 1.2

0.7 = a

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

The equation is

y = 0.7 * 1.2^x

Answer: 22

Step-by-step explanation: 1/4a + 1/3a + 8 = 22

Answer:

Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.

Step-by-step explanation:

Answer: An equation with one variable can have no solutions, one solution, or infinitely many solutions. An equation with two variables can have no solutions, one solution, or infinitely many solutions

Step-by-step explanation:

brainliest me

Answer:

Step-by-step explanation:

50.594

204.3251

47.1138

Answer:

x + 2

--------

49

Step-by-step explanation:

that's the answer

Answer:

480[tex]\sqrt{3}[/tex]

Step-by-step explanation:

4[tex]\sqrt{3}[/tex] · 10[tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex] · [tex]\sqrt{3}[/tex][tex]\sqrt{2}[/tex] · [tex]\sqrt{2}[/tex] = 4 · 10[tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{2}[/tex][tex]\sqrt{2}[/tex]

= 40 · 2 · 3 · 2 · [tex]\sqrt{3}[/tex]

= 480[tex]\sqrt{3}[/tex]

Answer:

B

Step-by-step explanation:

3/9 is the same as 1/3.

It can't be D since 5/12 isn't 1/3.

It can't be A since 2/3 and 3/3 don't equal 1/3.

It can't be C since everything listed is equal to 2/3.

Answer:

47. 1  5/8

48. 1  1/12

Step-by-step explanation:

47.

First, convert the denominators to be the same.

8  1/2 minutes, Ruby's mile time, can be converted to 8  4/8.

Then subtract.

8  4/8 - 6  7/8  = 1  5/8

48.

Make sure the denominators are the same. Both denominators can be multiplied by 3 or 4 to become 12.

1  1/4 can be multiplied by 3 to get 1  3/12. And 1  1/3 can be multiplied by 4 to get  2  4/12.

Then subtract.

2  4/12 - 1  1/3 = 1  1/12

The spin of the wheel by the contestant is an illustration of a sine function whose equation is [tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

The wheel is 1.5 m above the floor, and the peg reaches a maximum height of 2.75 m.

So, the amplitude is:

[tex]\mathbf{A = 1.5 - 2.75}[/tex]

[tex]\mathbf{A = -1.25}[/tex]

The vertical shift is the minimum height of the peg.

So, we have:

[tex]\mathbf{D = 0.25}[/tex]

The period (T) equals one circumference.

So, we have:

[tex]\mathbf{T = (max-min)\pi}[/tex]

This gives

[tex]\mathbf{T = (2.75-0.25)\pi}[/tex]

[tex]\mathbf{T = 2.5\pi}[/tex]

The frequency (B) is then calculated as:

[tex]\mathbf{B = \frac{2\pi}{T}}[/tex]

This gives

[tex]\mathbf{B = \frac{2\pi}{2.5\pi}}[/tex]

Divide

[tex]\mathbf{B = 0.8}[/tex]

A sine function is represented as:

[tex]\mathbf{y =A sin(B(x + C)) + D}[/tex]

Substitute the calculated values

[tex]\mathbf{y =-1.25 sin(0.8(x + C)) + 0.25}[/tex]

The horizontal shift (C) is 0.

So, the function becomes

[tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

See attachment for the graph of the equation

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