f(x) = x^2. what is g(x)?

Answer:

i think maybe use Pythagorean Theorem :

call Kite is K

all state is S

we have KS²= KX²+ SX²

400=144+ SX²

so SX = 16, so that distance in feet between the stake and X is 16 feet

Answer:

16

Step-by-step explanation:

We can solve for a missing side using the Pythagorean Theorem

a² + b² = c²

where a and b = the legs and h = hypotenuse

Looking at the triangle created, we notice we are given a leg ( which has a measure of 12t ) and the hypotenuse ( which has a measure of 12ft )

That being said, we plug in what we are given into the Pythagorean theorem and solve for the missing side length ( aka b )

12² + b² = 20²

step 1 simplify

12² = 144

20² = 400

we now have 144 + b² = 400

step 2 subtract 144 from each side

144 - 144 cancels out

400 - 144 = 256

we now have 256 = b²

step 3 take the square root of each side

√b² = b

√ 256 = 16

we're left with b = 16

So we can conclude that the length from the ground directly over point x to the stake is 16 feet.

( important note: The Pythagorean theorem can only be used in right triangle. )

Answer:

Midpoint = (1, 3)

Step-by-step explanation:

we have coordinates (x1, y1) and (x2, y2)

Then the midpoint is determined by

(x1 + x2)/2 , (y1 + y2)/2

=

[tex] \frac{ - 5 + 7}{2} \: \: \: \: \: \frac{8 + - 2}{2} [/tex]

= 1 , 3

Answer:

$1,298.12

Step-by-step explanation:

there are 1564 hundreds in 156,400

so 1564 x .83 = 1298.12

A n B = { 1 , 0 , - 1 }

A n C = { - 1 , 0 , 2 , 3 }

_________________________________

A n ( B U C ) =

( A n B ) U ( A n C ) =

{ - 1 , 0 , 1 } U { - 1 , 0 , 2 , 3 } =

{ - 1 , 0 , 1 , 2 , 3 }

Answer:

f(n)= -40.

Step-by-step explanation:

Answer:

246= AB

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

<P = 1/2 ( AB - CD)

93 = 1/2 ( AB - 60)

Multiply by 2

186 = ( AB-60)

Add 60 to each side

186+80 = AB

246= AB

Answer:

(-6,18)

Step-by-step explanation:

3x + 2y = 18

2y= -3x + 18

y=-3/2 x + 18

give x=0

y=-3/2 *0+18

y=18#

y=18

3x+2(18)=18

3x+36=18

3x=18-36

3x=-18

x=-18/3

x=-6

Answer:

84563 to 3 significant figure is 85,000.

Step-by-step explanation:

In this problem, we need to round off 84563 into 3 significant figures.

Significant figures are the digits that reliable and absolutely necessary to indicate the quantity of something. If a number expressing the result of measurement of something.

In 84563, it is eighty four thousand five hundred and sixty three. It is rounded off to 3 significant figures as 85,000.

Hence, 84563 to 3 significant figures is 85,000.

There are so many types of angles, let's see what we've got here!

--(5x - 17) and 48 are alternate interior angles, which means that they are congruent.

--(5x - 17) and y are supplementary angles.

--48 and y are same-side interior angles, which means that they are also supplementary.

Let's solve for x first.

5x - 17 = 48

5x = 65

x = 13

Now, let's solve for y.

48 + y = 180

y = 132

Hope this helps!! :)

Answer:

0.1771

Step-by-step explanation:

total number of cards in a deck : 52

number of face card per suite : 3

total number of suites : 4 (hearts, clubs, diamonds, spades)

3 * 4 = total number of face cards

12/52 = 0.23 = probability of drawing a face card

remaining card are non face cards

52-12 = 40

40 non face cards

40/52 = 0.77 = probability of drawing a non face card

probability of drawing a face card followed by a non face card

multiply probabilities together to find combined probability

probability of drawing a face card * probability of drawing a non face card

= 0.23 * 0.77

= 0.1771

Answer:

97.2°

Step-by-step explanation:

yw

The degree measure for the sector for the Navy be in a circle graph is 118.80.

"The angle of the sector is 360°, area of the sector, i.e. the Whole circle = πr2. When the Angle is 1°, area of sector = πr2/360° So, when the angle is θ, area of sector, OPAQ, is defined as; A = (θ/360°) × πr2."

Given here,

Navy = 165 members

Total members = 495

So, navy percentage in the circle is [tex]\165*495/ 100 = 27.27[/tex]

And, angle of the sector of Navy is = [tex]27.27*360/100[/tex] = 118.80

Hence, option D is correct.

To know know about degree measure here

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9514 1404 393

Answer:

  0.33 litres

Step-by-step explanation:

If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...

  3(m +0.07) +4m = 2.52

  7m +0.21 = 2.52 . . . . . . . . simplify

  7m = 2.31 . . . . . . . . . . . . . subtract 0.21

  m = 0.33 . . . . . . . . . . . . . divide by 7

Each mug can hold 0.33 litres.

Answer:

12 hour                24 hour

08:05pm               20:05pm

12:01am                  00:01am              

Step-by-step explanation:

Answer:

15 days

Step-by-step explanation:

Given

[tex]Truck\ 1: 3\ days[/tex]

[tex]Truck\ 2: 5\ days[/tex]

Required

Next time they both visit

First, list out days of visitation of each truck

[tex]Truck\ 1: 3, 6, 9, 12, 15, 18, 21\ days.....[/tex]

[tex]Truck\ 2: 5, 10, 15, 20, 25, \ days.....[/tex]

Write out the common days;

[tex]Day = 15[/tex]

The next time they both visit is the after 15 days

Answer:

35.52 ounces

Step-by-step explanation:

7.4 * 4.8 = 35.52

Answer:

option 1

Step-by-step explanation:

[tex]volume \ of \ cone = \frac{1}{3} \pi r^2 h \\r = 4\\h = 8\\so, volume = \frac{1}{3} \pi (4^2)( 8)[/tex]

Answer:

1,320ft

Step-by-step explanation:

D= r(88)*t(15)

Answer:

18.28 sq inches

Step-by-step explanation:

the area of the composite fig. =

(½×3.14×2²)+(½×4×6)

= 6.28 + 12 = 18.28

Answer:

Step-by-step explanation:

Prepare closing entireties for the concert hall bond fund

Answer:

Step-by-step explanation:

Multiply the two top numbers together. Then record the first digit of the answer.

5*4 =20              Record 2

9*8 = 81              Record 8

3*6 =18               Record 1

7*5 = 35             Record 3

Answer:

0.0013 probability that at least 6 employees were over 50.

Step-by-step explanation:

The employees were "chosen" to be dismissed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

8 employees dismissed means that [tex]n = 8[/tex]

Had 7 + 17 = 24 employees, which means that [tex]N = 24[/tex]

7 over 50, which means that [tex]k = 7[/tex]

What is the probability that at least 6 employees were over 50?

6 or 7, so:

[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex].

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 6) = h(6,24,8,7) = \frac{C_{7,6}*C_{17,2}}{C_{24,8}} = 0.0013[/tex]

[tex]P(X = 7) = h(7,24,8,7) = \frac{C_{7,7}*C_{17,1}}{C_{24,8}} \approx 0[/tex]

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.0013 + 0 = 0.0013[/tex]

0.0013 probability that at least 6 employees were over 50.

The name of polygon is SRVUT.

In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).

Given:

Usually while naming the polygon we have to focus on the letter to which each vertex is allotted.

and, the name of any geometrical shape should be in a flow, it should be like which letter come after the previous in clockwise or anticlockwise order.

Here, the polygon will have name:

VRSTU

RSTUV

STUVR

TUVRS

UTVRS

Learn more about Polygon here:

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Answer:

circumference =2×3.14

circumference =6.28 m

Answer:

It shows that 8 is not a factor of 44

It will be a factor of 44 is there is no decimal for the answer

Answer:

it shows that 8 is not a factor of 44

Step-by-step explanation:

because if the result was a whole number, then 8 would be a factor of 44.

Answer:

0.0786

Step-by-step explanation:

It is given that Bartholemew had drawn the replacement of 160 tickets.

There are five tickets = [0, 0, 0, 1, 2]

Now we need to find the estimate of the ticket that has 1 on it and it turns up on the 32 draws exactly.

Since the probability of the drawing 1 out of 5 tickets is given by,   [tex]$\frac{1}{5} = 0.2$[/tex]

So the binomial with the parameter of n = 160 and p = 0.2, we get

P (it turns up on exactly 32 draws) = P(X = 32)

Therefore,

[tex]$C(160, 32)\times (0.2)^{32}\times (0.8)^{160-32}$[/tex]

= 0.0786

Answer:

54

Step-by-step explanation: