Two boats leave the same marina. One heads north, and the other heads east. After some time, the northbound boat has traveled 16 miles. If the two boats are 20 miles apart, how far has the eastbound boat traveled?

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:

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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Answer:

80% = 80/100 = 8/10

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

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).

Answer:

388

Step-by-step explanation:

Substituting b = 20 in the expression :

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:

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

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]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:

B) 24 feet

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle h(t) = -16t^2 + 35t + 5[/tex]

Step 2: Find Height

Since we are trying to find the height of the basketball at 1 second, it implies that t = 1. Therefore, we can simply substitute t = 1 into our function:

[tex]\displaystyle\begin{aligned}h(1) & = -16(1)^2 + 35(1) + 5 \\& = -16(1) + 35(1) + 5 \\& = -16 + 35 + 5 \\& = \boxed{24} \\\end{aligned}[/tex]

∴ the height of the basketball at 1 second is equal to 24 feet.

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Topic: Algebra I

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

[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]

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

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

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:

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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Answer:

20 degrees

Step-by-step explanation:

Answer:

20 degrees

Step-by-step explanation:

I got help from my teacher.

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:

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.

Answer:

it spells ucla, or U C LA

get it you see Los Angeles

or the school name in Los Angeles

Step-by-step explanation:

you shade in 12.5in^2

77cm

1.35m^2

48m

17cm^2

11400 in ^2

20.8cm

25m

20in

275 cm ^2

120 ft

43.4 cm^2

6.6m

105m^2

544 in

30m^2

28.8cm

600ft^2

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:

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

[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:

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:

37.95

Step-by-step explanation:

3.3x2.5x4.6=37.95

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:

Bottom right option

Step-by-step explanation:

5 boxes out of 6 are shaded.

Answer:

d) Bottom right picture

Step-by-step explanation:

There are 6 boxes in that rectangle and 5 boxes are shaded. Hence, this diagram shows the required fraction of 5/6.

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:

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

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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