At the same time a 6 foot person casts a 2 foot shadow, a nearby flagpole casts a ten foot
shadow. How tall is the flagpole?

Answer:

12.04

Step-by-step explanation:

Because the questions are true and false, that is, there are only two answer options, therefore, you have a success probability = 1/2 = 0.5

The standard deviation can be calculated as follows:

Standard Deviation = (n*p* (1-p)] ^ (1/2)

replacing we have:

SD = (290 * (1-0.5)] ^ (1/2) = 12.04

That is, the standard deviation is 12.04

Answer:

2√21

Step-by-step explanation:

√81 is √4 times √21

Since √4 is a perfect square, √4 = 2

We are left with 2 times √21

2√21

Answer:

2√21

Step-by-step explanation:

√84

84 can be written as 4 × 21.

√(4 × 21)

Distribute the square root to both terms.

√4 × √21

4 is a perfect square.

2 × √21

Answer:

Each persons share is 6.03

Step-by-step explanation:

Divide the total cost by the number of students

48.24 / 8

6.03

Each persons share is 6.03

Answer:

$6.03

Step-by-step explanation:

A group of 8 students paid $48.24 for food.

Each of their shares would be divided among the 8 students.

48.24/8=6.03

Each student paid a share of $6.03.

Answer:

360 cm^2

Step-by-step explanation:

First find the area of the bottom

10*10 = 100

The find the area of one of the triangular shapes

A = 1/2 bh since it is a triangle

A = 1/2 ( 10)*13 = 65

Since there are 4 triangles ( 1 for each side), multiply by 4

4*65 = 260

Add the areas together

260+100 = 360

Answer:

Integers, Terminating Decimals, Recurring Decimals, Proper and Improper Fractions.

Step-by-step explanation:

The following subset of the real number system can be written in the form [tex]\dfrac{a}{b}[/tex], b≠0.

Integers(ℤ): These are positive and negative whole numbers. For example, 5 can be written as [tex]\dfrac{5}{1}[/tex]

Terminating Decimals: These are fractions that when converted to decimal numbers have an end.

e.g. [tex]\dfrac{5}{2}=2.5[/tex]

Recurring Decimals: These are fractions that when converted to decimal numbers do not have an end.

e.g. [tex]\dfrac{8}{11}=0.727272...=0.\overline{72}[/tex]

Proper Fractions: These are fractions of the form [tex]\dfrac{a}{b}[/tex] where a<b. An examples is [tex]\dfrac{4}{5}[/tex]

Improper Fractions: These are fractions of the form [tex]\dfrac{a}{b}[/tex] where a>b. An examples is [tex]\dfrac{5}{4}[/tex]

Answer:

The shoes and purse each take up 1/4th of the circle (since 25 is 1/4th of 100) so we can eliminate the top 2 choices. Since the dress costs more than the bracelet it will take up more room leaving us with the bottom right circle as the answer.

Answer: The fourth one, or the bottom right hand corner one

Step-by-step explanation:

Shoes: 25 --> 25%

Purse: 25 --> 25%

Bracelet: 15 --> 15%

Dress: 35 --> 35%

Since the circle graph are not exact percentages, you have to estimate on how which values are larger.

Answer:

The amount of safety inventory of cell phones best  buy should carry is $465.277

Step-by-step explanation:

Solution

We recall that:

The weekly demand for cell phones=  300 per week

The Standard Deviation = 200 per week

The lead time or number of weeks = 2 weeks (14 days)

Thus,

Z = 95%

= 1.645

Now,

The standard deviation of lead time = Standard deviation√ *√ lead time

Which is

= 200 * √ (2) =2.82.843

So,

The safety inventory = Z * Standard deviation of the lead time

= 1.645 * 2.82.843

$465.277

Answer:

Option (3).

Step-by-step explanation:

Option (1).

3(x - 1) = x + 2(x + 1) + 1

3x - 3 = x + 2x + 2 + 1

3x - 3 = 3x + 3 [Not True]

Therefore, this equation is not an identity.

Option (2).

x - 4(x + 1) = -3(x + 1) + 1

x - 4x - 4 = -3x - 3 + 1

-3x - 4 = -3x - 2 [Not true]

Therefore, this equation is not an identity.

Option (3).

2x + 3 = [tex]\frac{1}{2}(4x + 2) + 2[/tex]

2x + 3 = 2x + 1 + 2

2x + 3 = 2x + 3 [True]

Therefore, this equation is an identity.

Option (4).

[tex]\frac{1}{2}(6x-3)=3(x+1)-x-2[/tex]

3x - 1.5 = 3x + 3 - x - 2

3x - 1.5 = 2x + 1 [Not true]

Therefore, this equation is not an identity.

Answer:

2x + 3 = 1/2(4x + 2) + 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

All rhombi are parallelograms.

All squares are rhombi.

No trapezoid is a rectangle.

Answer:

y = 3x + 5

Have a good day! :)

Answer:

y=2x+4

Step-by-step explanation:

the line has equation like this y=ax+b

x=0  then y=4 so 4=a*0+b so b=4

y=0, then x=-2, 0=a*(-2)+4 so -2a+4=0,-2a=-4, a=2

so the equation of the line is y=2x+4

verify

x=-1, y=2*(-1)+4=-2+4=2 so the equation is correct

Answer:

Option D is correct

Step-by-step explanation:

Applying the cosine theorem for triangle ABC, you would have:

cos (angle BAC) = (BA^2 + CA^2 - BC^2)/(2*BA*CA)

                           = (10^2 + 18^2 - 20^2)/(2*10*18)

                           = 24/360

=> angle BAC = ~86 deg

Hope this helps!

Answer:

Biker = 25 mph

Walker = 16⅔ mph

Step-by-step explanation:

Distance = rate × time

If x is the walker's speed and y is the biker's speed, then:

1.5 y − 1.5 x = 12.5

y = 1.5 x

Solve the system of equations.

1.5 y − y = 12.5

0.5 y = 12.5

y = 25

x = 16⅔

Answer:

The solutions of the equation in the interval [0,2π )

                    ={  [tex]\frac{\pi }{3}[/tex] }

General solution    θ = 2 nπ +α

                                θ =   [tex]2n\pi + \frac{\pi }{3}[/tex]

Step-by-step explanation:

Step(i):-

Given equation

                      cos x + sin x tan x = 2

               ⇒      [tex]cos x + sin x \frac{sin x}{cos x} = 2[/tex]

    On simplification , we get

              ⇒     [tex]\frac{sin^{2} x+ cos^2x}{cos x} = 2[/tex]

we know that trigonometry formula

[tex]sin^{2} x+ cos^2 x = 1[/tex]

now we get

             [tex]\frac{1}{cos x} = 2[/tex]

⇒         [tex]cos x = \frac{1}{2}[/tex]

⇒         cos x = cos 60°

Step(ii):-

General solution of cosθ = cosα

General solution    θ = 2 nπ +α

                               θ = 2 nπ +60°

                                θ =   [tex]2n\pi + \frac{\pi }{3}[/tex]

put n = 0 ⇒ θ = 60°

Put n =1 ⇒  θ = 360°+60°= 420°

.....and so on

The solutions of the equation in the interval  =[tex]\frac{\pi }{3}[/tex]

Final answer:-

The solutions of the equation in the interval [0,2π )

                    ={  [tex]\frac{\pi }{3}[/tex] }

General solution    θ = 2 nπ +α

                                θ =   [tex]2n\pi + \frac{\pi }{3}[/tex]

Answer:

-115.5

Step-by-step explanation:

here's ur answer I hope I was able to help you

Answer:26 2/3 feet

Step-by-step explanation:40/30 = 4/3

(26 2/3) / 20= 4/3

Answer:I believe that it is A but i am not fully sure

Step-by-step explanation:

Answer:

6 times.

Step-by-step explanation:

There is a 1/9 chance you pick the orange one. If you pick 54 times, you can expect to pick the orange marble 6 times.

Answer:

X<3

Step-by-step explanation:

4x-7 <5

4x < 5+7

4x < 12

X < 12/4

X < 3

Hope this helps..

Good Luck!

Answer:

19305

Step-by-step explanation:

We simply take the percentage of 29700 to find how many people were added.

29700(0.35) = 10395 <== so 10395 people have been added

Subtract it from the current:

28700 - 10395 = 19305 people before.

Answer:

4+3n

Step-by-step explanation:

We get the formula 4+3n because the pattern is +3 each term starting with the first term as 7. Since the first term is 7, we get 4+3n.

Answer:

[tex]f(n) = 3f(n - 1) + 2f(n - 2)[/tex], if [tex]n \geq 2[/tex].

[tex]f(0) := 1[/tex],  [tex]f(1) := 3[/tex]

Step-by-step explanation:

Let [tex]f(n)[/tex] be the number of different tiling of [tex]1 \times n[/tex] floor. We can divide all possible tiling of floor [tex]1 \times n[/tex] into five not overlapping groups by color of last cell in the row (Blue, Red, Green, Orange, White).

The number of tiling [tex]1\times n[/tex] floor such that last cell in row is Blue is exactly f(n - 1) because we can throw away last [tex]1\times 1[/tex] tile and cover the rest [tex]1\times (n - 1)[/tex] cells in f(n - 1) ways. Similarly for Red and Green.

The number of tiling [tex]1\times n[/tex] floor such that last cell in row is Orange is exactly f(n - 2) because we can throw away last [tex]1\times 2[/tex] tile and cover the rest [tex]1\times (n - 2)[/tex] cells in f(n - 2) ways. Similarly for White.

So we get recurrent relation:

[tex]f(n) = 3f(n - 1) + 2f(n - 2)[/tex], if [tex]n \geq 2[/tex].

Now we should define the initial conditions.

[tex]f(0) := 1[/tex] because there is only one empty tiling.

[tex]f(1) := 3[/tex] because we can place Blue, Red or Green tile.

This completely define our recurent sequence because the depth of reccurence is 2.

Answer:

495.6 Euros

Step-by-step explanation:

If 1 pound equals 1.77 euros we can set up a proportion that;

[tex] \frac{1 pound}{1.77 euros} [/tex]

This proportion would be equal to the new amount;

[tex] \frac{280 pounds}{x euros} [/tex]

This means that

[tex] \frac{1 pound}{1.77 euros} = \frac{280 pounds}{ x euros} [/tex]

So;

[tex]280 pounds*1.77 euros / 1 pound[/tex]

Pounds cancel out; and so you have

[tex]280 * 1.77 euros[/tex]

giving you as performed on a calculator;

495.6 euros.

Hope this helps

Answer:

495.6 euros.

Step-by-step explanation:

For each pound we get 1.77 euros so:

it  is 280 * 1.77

= 495.6 euros.

Answer:

A.34

Do it in this order

PEDMAS

Parentheses

Exponents

division or multiplication (whichever is further left)

addition or subtraction (whichever is further to the left goes first)

3 x 8 = 24

2 x 5 = 10

24 + 10 = 34

A. = 34

For B. we do the addition first because they are inside the parentheses

8+2=10

10 x 3 = 30

30 x 5 = 150

B. = 150

Hope this helps

Step-by-step explanation:

Answer:

the answer is 34.

Step-by-step explanation:

a.3×8+2×5

=24+10

=34

b.3×(8+2)×5

=3×10×5

=30×5

=150

hope this help you!!!!!

Answer:

-2

Step-by-step explanation:

the power is 2 for (x+2) so it will touch the axis

thepower of (x-5) is 3 so it will cross the axis

the correct answer is then -2

hope this helps

Answer:

B. -2

Step-by-step explanation:

Answer:

x = -2 + 2 i or x = -2 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 4 x + 8 = 0

Subtract 8 from both sides:

x^2 + 4 x = -8

Add 4 to both sides:

x^2 + 4 x + 4 = -4

Write the left hand side as a square:

(x + 2)^2 = -4

Take the square root of both sides:

x + 2 = 2 i or x + 2 = -2 i

Subtract 2 from both sides:

x = -2 + 2 i or x + 2 = -2 i

Subtract 2 from both sides:

Answer:  x = -2 + 2 i or x = -2 - 2 i