Consider the parallelogram below.
Find the value of y.
Enter each line of work as an equation.

The sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.

Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus, according to this theorem,

[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]

The sides of first option are, 6,14,and 17.

[tex]6+14 > 17\\20 > 17[/tex]

This set satisfy the triangle inequality theorem. All the other options do not follow, to satisfy this theorem.

Thus, the sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.

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Answer:

If I am correct he will save $405 by having his friend helping him.

Step-by-step explanation:

3x115=345

750-345=$405

totaled saved: 405

The length of the hypotenuse x will be equal to x=89.72 cm.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

It is given in the question that:-

The base is = 54 cm

Angle just opposite the base is =37

So the angle with the base will be =180-90-37=53

So by applying the cosine formula for the right-angled triangle:-

Cos Ф=(B)/(H)

Cos 53=(54)(x)

x=(54)(Cos53)

x=889.72 cm

Hence the length of the hypotenuse x will be equal to x=89.72 cm.

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Answer:

x = - 21

Step-by-step explanation:

[tex]\frac{-12+x}{11}[/tex] = - 3 ( multiply both sides by 11 to clear the fraction )

- 12 + x = 11 × - 3 = - 33 ( add 12 to both sides )

x = - 21

Answer:

80% = 80/100 = 8/10

I hope this helps! If it does, please mark me Brainliest! Thanks in advance!

Answer:

A = 5

Step-by-step explanation:

Add 13 to each side of the expression :

Step-by-step explanation:

A 13+13 equal to -8+13

A 13-8

A 5

Answer:

444.94300

Step-by-step explanation:

497.063-52.12

Answer:

a. 38

b. 12

Step-by-step explanation:

i used calculator. net

The height of the kite is  38.042(approx.) and the shadow of kite from Dmitri is 12.36 m (approx.)

The term angle of elevation denotes the angle from the horizontal upward to an object.  An observer’s line of sight would be above the horizontal.

According to the question

Kite string = hypotenuse = 40m

angle of elevation = 72 °

a) Height of kite  = perpendicular

sin( 72 °) = [tex]\frac{Perpendicular}{hypotenuse}[/tex]

0.951  =  [tex]\frac{Perpendicular}{40}[/tex]

38.042 ≈ Perpendicular or Height of kite  ≈ 38.042

b) Sun is directly above the kite , kite's shadow from Dmitri is = base

Tan (72°) = [tex]\frac{perpendicular }{base}[/tex]

3.077   =  [tex]\frac{38.042 }{base}[/tex]

Base ≈  12.36 m

Hence, height of the kite is  38.042(approx.) and the shadow of kite from Dmitri is 12.36 m

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The statement is a mathematical statement, and the equation that shows the statement is y = 4m - 3

The product of 4 and m is represented as:

4 * m

Evaluate

4 * m = 4m

3 less than this product is represented as:

4 * m - 3 = 4m - 3

Let the result of the equation be represented with y.

So, we have:

y = 4m - 3

Hence, the equation that shows the statement is y = 4m - 3

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The value of the discriminant is 24. Then the factor of the polynomial is not a whole number.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

x² + 8x + 10

If the value of the discriminant is a perfect square then the factor of the polynomial will be in whole number.

D = b² - 4ac

D = 8² - 4 x 1 x 10

D = 64 - 40

D = 24

The value of the discriminant is not a perfect square.

The solution of the polynomial can be determined by the formula method.

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Answer:

6.25 km^2.

Step-by-step explanation:

Let the park be x km wide. Then it's length is 4x km.

Perimeter = 2(Length + width)

12.5 = 2(4x + x)

2*5x = 12.5

x = 12.5 /10 =1.25 km.

So the park is 1.25 km wide and 4*1.25 = 5 km long.

The area of the park = 1.25 * 5

= 6.25 km^2.

The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

A recreation area is multiple times for however long it is wide. assuming the distance around the recreation area is 12.5 kilometers.

Then the equation is given as,

L = 4W

Then the perimeter of the garden is given as,

12.5 = 2(L + W)

12.5 = 2(4W + W)

6.25 = 5W

W = 1.25 km

Then the length is given as,

L = 4 x 1.25

L = 5 km

Then the area of the garden is given as,

A = 5 x 1.25

A = 6.25 square km

The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.

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x-coordinates for the maximum points in any  function  f(x) by f'(x) =0 would be  x = π/2 and x= 3π/2.

To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

we want to find x-coordinates for the maximum points in any  function  f(x) by f'(x) =0

Given f(x)= 4cos(2x -π)

[tex]f'(x) = 0\\- 4sin(2x -\pi ) =0\\\\sin (2x -\pi ) =0 \\2x -\pi = k\pi ... k in Z[/tex]

In general  [tex]x=(k+1)\pi /2[/tex]

from x = 0 to x = 2π :

when k =0  then  x = π/2

when k =1  then x= π

when k =2  then x= 3π/2

when k =3  then x=2π

Thus, X-coordinates of maximum points are  x = π/2 and x= 3π/2

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Answer:

a) 1.8

b) 11.8

c) 23.6

(2.4 + 1.6 + 3.2 + 0.3 + 1.5) / 5 = 1.8

(12.4 + 11.6 + 13.2 + 10.3 + 11.5) = 11.8

(24.8 + 23.2 + 26.4 + 20.6 + 23) / 5 = 23.6

or,

11.8 × 2 = 23.6

Answer+Step-by-step explanation:

a)

original mean = (2.4+1.6+3.2+0.3+1.5)÷5

         = 9÷5

         = 1.8

b)

New mean = ((2.4+10)+(1.6+10)+(3.2+10)+(0.3+10)+(1.5+10))÷5

         = (12.4) + (11.6) + (13.2) + (10.3) + (11.5)) ÷ 5

         = 59÷5

         = 11.8

Note:  

11.8-10 = 1.8

then

New mean = original mean + 10

c)

Newest mean = ((2×12.4)+(2×11.6)+(2×13.2)+(2×10.3)+(2×11.5))÷5

                       = ((24.8)+(23.2)+(26.4)+(20.6)+(23))÷5

                       = 118÷5

                       =23.6

Note :

Newest mean = 2×(New mean)

                       = 2×(original mean + 10)

Answer:

1230000

Step-by-step explanation:

this is because of growth and inflation and deflation

12% of 120,000 = 14400

14400x7 = 100800

120,000 - 100800 = 19200

A:DECAY

Answer:

B. <

Step-by-step explanation:

2.7 * 10^3 is < 27 * 10^3

since

27 * 10^3 = 27000

2.7 * 10^3 = 2700

2700 < 27000

now since multiplying by 10 moves the decimal to the right, just looking and mentally comparing them. since they are both multiplied by 10^3 you're left with 2.7 and 27

27 is greater than 2.7

so

your answer is B or <

hope this helps :)

Answer: the answer is choice b

Step-by-step explanation:

Step-by-step explanation:

270°/360° ×π×13²cm

=398.20cm²

the area of the sector with a radius of 13 units and a central angle of 270 degrees is approximately 398.25 square units.

To find the area of a sector, we use the formula:

Area of sector = (θ/360) * π * r²

Where:

θ is the central angle of the sector in degrees,

r is the radius of the sector.

In this case, the radius (r) is 13 units, and the central angle (θ) is 270 degrees.

Area of sector = (270/360) * π * 13²

Area of sector = (3/4) * π * 169

Area of sector = (3/4) * 169π

Area of sector ≈ 398.25 square units

So, the area of the sector with a radius of 13 units and a central angle of 270 degrees is approximately 398.25 square units.

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Answer:

388

Step-by-step explanation:

Substituting b = 20 in the expression :

Answer:

Top Left (<A) = 86 degrees // Top Right (<B) = 112 degrees // Bottom Left (<C) = 68 degrees // Bottom Right (<D) = 94 degrees

Step-by-step explanation:

So with inscribed quadrilaterals opposing corners are supplementery. This means they will add to 180 degrees. So first what we can do is set (x + 2) and (x - 6) equal to 180 ----> 2x - 4 = 180 ----> 2x = 184 ----> x = 92

So if x = 92 then <A = 86 degrees //// <B = 112 degrees //// <C must equal 68 degrees because <B and <C are supplementery //// <D = 94 degrees

Answer:

x = 5

Step-by-step explanation:

216 ^x  = 6^(x+10)               notice that 216  = 6^3

(6^3 )^x = 6^(x+10)

6^3x = 6^(x+10)       now just equate the exponents

 3x = x + 10

   2x = 10       x = 5

First set is parallel - same gradient

Second set is neither - gradient is 2/6 or 1/3. It then had to be 3 for it to be perpendicular.

Hope this helps!

Answer:

The answer is 72

Step-by-step explanation:

The formula for perimeter is (L+W)x2

So in your case (11+25)x2

Or add all 4 sides of the rectangle up and you have your answer <3

Using the normal distribution, it is found that:

a) The z-score associated with a 60th percentile score is of Z = 0.253.

b) The score associated with the 60th percentile is of 51.265.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 50, \sigma = 5[/tex]

The 60th percentile is X when Z has a p-value of 0.6, so X when Z = 0.253, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.253 = \frac{X - 50}{5}[/tex]

X - 50 = 5(0.253)

X = 51.265.

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[tex]1.37 + 0.9\\\\\\=\dfrac{137}{100} + \dfrac{9}{10}\\\\\\=\dfrac{137}{100}+\dfrac{90}{100}\\\\\\=\dfrac{137+90}{100}\\\\\\=\dfrac{227}{100}\\\\\\=2.27[/tex]

Answer:

Quadratic

Step-by-step explanation:

The function shown here is :

As the degree of the polynomial is 2, this function is considered to be quadratic.

Answer:

20 degrees

Step-by-step explanation:

Answer:

20 degrees

Step-by-step explanation:

I got help from my teacher.

The awnser is 3 units

Start from the y-axis and count to your point.

When I was in tge 5th grade frog leaps/ bunny hops helped me.

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

How many kilometers is equal to 800 meters?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Divide the number of meters by 1000 to convert meters (m) into kilometers  (km):

[tex]\texttt{800:1,000=0.8 km}[/tex]

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

[tex]v = \frac{lwh}{3} [/tex]

[tex]v = \frac{10 \times 6 \times 6}{3} [/tex]

[tex]v = 120 \: {ft}^{3} [/tex]

[tex]v = lwh[/tex]

[tex]v = 10 \times 6 \times 4[/tex]

[tex]v = 240 \: {ft}^{3} [/tex]

[tex]v = 120 + 240[/tex]

[tex]v = 360 \: {ft}^{3} [/tex]

volume of rectangular pyramid is 120 ft^3.

volume of rectangular prism is 240 ft^3.

total volume is 360 ft^3.

hope this helps.

Answer:(-3,-1.5)

Step-by-step explanation: the vertex is the point then the line starts to bend. that would be (-3,-1.5).