Two airplanes leave the same airport. One heads north, and the other heads east. After some time, the northbound airplane has traveled 68 miles. If the two airplanes are 85 miles apart, how far has the eastbound airplane traveled?

Answer:

I graphed it for you in the image below.

Step-by-step explanation:

Graph the logarithmic function f(x) = log2(x - 1) + 2 is attached below.

The function is referred to as a particular kind of relationship, every value in the domain is associated with exactly one value in the range. They have a set perimeter and territory.

It is given that the logarithmic function is, f(x) = log2(x - 1) + 2.

The first step in graphing a logarithmic function is to locate some points on the exponential f. (x). The graph will look better as we plot more points, and we can flip the x and y values to get points on the opposite axis. locate the asymptote. The following logarithmic functions can be graphed. Specify the domain and the range.

Thus, the graph is attached below.

Learn more about the function here:

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Answer:

Surface area of the figure = 1,296π km²

Step-by-step explanation:

Given figure is a sphere;

Given:

Radius of sphere = 18 km

Find:

Surface area of the figure

Computation:

Surface area of the figure = Surface area of sphere

Surface area of sphere = 4πr²

Surface area of the figure = 4πr²

Surface area of the figure = 4π(18)²

Surface area of the figure = 4π(324)

Surface area of the figure = 1,296π km²

Answer:

A

Step-by-step explanation:

A. $329.04

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Answer:

x = 1.5, y = 2

Step-by-step explanation:

Cuando tenemos un sistema de ecuaciones lineales, para resolverlo gráficamente simplemente debemos graficar ambas líneas y ver en que punto las líneas se interceptan.

En este caso, tenemos las líneas:

y = 4*x - 4

2*x + y = 5

El primer paso puede ser escribir ambas líneas en forma estándar, así será más fácil graficarlas.

Para ello, aislamos y en ambas ecuaciones:

y = 4*x - 4

y = 5 - 2*x

Ahora que tenemos ambas líneas debemos graficarlas en un mismo eje de coordenadas, y buscar el punto en donde ambas líneas se interceptan.

Un gráfico de este sistema se puede ver abajo:

Viendo el gráfico, podemos estimar que la solución del sistema es el punto:

(1.5, 2)

Es decir, la solución es:

x = 1.5

y = 2

Solamente para ser completos, también podemos resolver el sistema analíticamente y ver si la solución que encontramos gráficamente es aceptable.

Para ello escribimos el sistema:

y = 4*x - 4

y = 5 - 2*x

Como y esta aislada en ambas ecuaciones, tendremos:

4*x - 4 = y = 5 - 2*x

4*x - 4 = 5 - 2*x

Ahora podemos resolver esto para x.

4*x + 2*x = 5 + 4

6*x = 9

x = 9/6 = 3/2 = 1.5

Remplazando este valor de x en cualquiera de las dos líneas obtendremos el valor de y de la solución:

y = 4*x - 4 = 4*1.5 - 4 = 6 - 4 = 2

Así probamos analíticamente que la solución es x = 1.5, y = 2.

Answer:

No its not, because if you use the pythagorean theorem formula 9 and 14 will not equal 15. So it wouldn't make it a right triangle.

9514 1404 393

Answer:

Step-by-step explanation:

Locate the digit to the right of the place you're rounding to. If that digit is 5 or more, add 1 to the digit in the place you're rounding to. Drop all digits to the right of the one you're rounding to, unless it is left of the decimal point. In that case, zero any digits between the one you rounded and the decimal point. (See problem 3 for an example of this.)

If you're rounding to the ones place (nearest whole number), and that digit ends up being 0, then put a decimal point after it to indicate it is a significant digit.

The second attachment shows the names of the number places, if you need a reminder.

Answer:

Step-by-step explanation:

Work hours Monday till Friday:

Payment for 5 days:

Payment for Saturday:

Total payment:

Answer:

$ 230 is the answer.

Step-by-step explanation:

Answer:

D) Angle VUX

Step-by-step explanation:

Answer:

112.3

Step-by-step explanation:

Answer:

the answer is 84 being how you asked the question but I dont think thats what you meant to ask. if thars wrong just tell me and ill answer it the way you need it

Step-by-step explanation:

Answer:

84 miles

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The formula for the volume of a sphere

= 4/3  π  r^3 where r = the radius.

So for number 1:

V = 4/3 π (5)^3

= 523 .60 mm^3   to nearest hundredth.

The others are solved in exactly the same way except where the diameter is given as in number 4 and 5 you get the radius r by dividing the diameter by 2. So in number 4,  r = 30/2 = 15.

Answer:

36 games won ...............

Answer:

y=1.06x-6

36

Step-by-step explanation:

→heart is central to the circulatory system as it is the fist-sized pump that circulates the blood throughout the body.

Answer:

3/12

Step-by-step explanation:

the entire bag has 12 skittles. there are only 3 red. This gives a fraction of red skittles/entire bag in order to get the probability. So this would be 3/12 in this most basic sense? I am not sure if you need to go further than this or not. Hope this helps!

Answer:

n = 4

Step-by-step explanation:

Combine like terms and solve.

n + n + 2 = 10

2n + 2 = 10

2n = 8

n = 4

Answer:

×= 4 and the perimeter is 18

Step-by-step explanation:

(x+3)(x-2)=14

x^2+x-6=14

x^2+x-20=0

(x+5)(x-4)=0

x=4

perimeter = 7(2)+2(2)=18

Answer:

side- 7

area of square - side x side

7 x 7 - 49² cm

square - all sides are the same length

area - length * width

7 * 7 = 49

Answer:

1) 243 in.²

Step-by-step explanation:

1)

A = 18 in. * 18 in. - 9 in. * 9 in. = 243 in.²

Answer:

HK=42°

Step-by-step explanation:

because the arc of HK is two time bigger than HLK measurement

HLK=1/2HK

21°=1/2HK cross production

HK=2×21°

HK=42°

Answer:

x = -2

y = -3

Step-by-step explanation:

5x - y = -7

x + y = -5

6x = -12

x = -2

x + y = -5

-2 + y = -5

y = -5 + 2

y = -3

Answer:

(-2,-3)

Step-by-step explanation:

x + y = -5

y = -x - 5

5x - (-x - 5) = -7

5x + x + 5 = -7

6x = -12

x = -2

x + y = -5

-2 + y = -5

y = -3

pi is 3.15 so I think its pi time radius to get the area which is 3.15 times 9. that equals to 28.35

Answer:

$1,680 - F

Step-by-step explanation:    

You do 2800 x 0.6 in ur calculator which is 1680..

Answer:

30?

Step-by-step explanation:

If y is 30 and x = y. Then wouldn't x be 30 HOWEVER I'm unsure what the other part of the equation is.

Answer:

3077.68

Step-by-step explanation:

the Area of the regular decagon is 3077.68

The area of the decagon with side length of 20 units is -

A = 1000√(5 + 2√5) square units.

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write area -

V = ∫∫F(x, y) dx dy

Given is a regular decagon with length of each side is 20 units

The area of the regular decagon is -

A = (5/2)a²√(5 + 2√5)

We have {a} = 20. So, we can write that -

A = (5/2)(20)²√(5 + 2√5)

A = (5/2) x 400 x √(5 + 2√5)

A = 5 x 200 x √(5 + 2√5)

A = 1000√(5 + 2√5)

Therefore, the area of the decagon with side length of 20 units is -

A = 1000√(5 + 2√5) square units.

To solve more questions on areas, visit the link-

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x^2 - 3x = x ( x - 3 )

ʜᴏᴘᴇ ʏᴏᴜ ɢᴇᴛ ᴡᴇʟʟ

Answer:

angle z= 96°

angle x = 33

I hope it's helps you

Answer:

z = 96

x = 33

Step-by-step explanation:

Given that g and h are parallel, we can assume that 84 and z will be equal to 180.

[tex]84 + z=180\\z= 96[/tex]

Then we make the , simple algebra work!

[tex]96 = 6x - 102\\198 = 6x\\x = 33[/tex]

It's been like 2 years since I've touched geometry, but if I could remember I can explain this with proofs, sadly I can't.

Answer:

y = 4

Step-by-step explanation:

2y - 6 = 2

add 6 to each side of the equation:

2y = 8

divide both sides by 2:

y = 4