needs help please!!!

The wire is attached to the pole at 18 root3 ft high.

We have given that,

A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground.

This is a right triangle formed of which hypotenuse is

h=36ft.

Angle is θ=60degree

Let P be the height of pole.

[tex]\frac{Opposite\ side}{hypotenous}[/tex]

then, sin60=P/H or root3/2=P/36

P=36√3/2

or

P=18√3ft.

The wire attached to the pole at P=18√3ft.

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Answer:

40,320

Step-by-step explanation:

8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

The factorial of a natural number is denoted with n! and is equal to the product of all the natural numbers in sequence from 1 to n.

This refers to the different ways a thing can be arranged from an available selection of items.

Hence, given that we do not have the complete information, we can only give you a general overview of how to solve a factorial and get answers.

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Answer:

12/35

Step-by-step explanation:

tan = opposite side / addjesent side

Tan (A) = 12 / 35

Answer:

91

Step-by-step explanation:

given perimeter = 273

perimeter of equilateral triangle = 3a

3a = 273

a = 273/3

a = 91

hence, length of side of the triangle is 91

Answer: 6.56

Step-by-step explanation:

Here are the detailed math steps we use to convert 6 5/9 mixed number to decimal form:

6 × 9 = 54

54 + 5 = 59

59 ÷ 9 = 6.555556

That's it folks! The answer to 6 5/9 in decimal form is displayed below:

6 5/9 ≈ 6.56

10 packs of dog toys; or 100 dog toys all together.

Step-by-step explanation:

If Lauren bought 10 packs of dog toys, and there are 10 dog toys in each pack, you could simply multiply 10•10, which would come out to 100 dog toys.

Answer:

An exponential model will be the best for the data.

Step-by-step explanation:

If you chart this data (either using a calculator, excel, or an online tool like desmos), it is clear that the curve is exponential.

Furthermore, if you run regression, you can find that the curve [tex]4*2^x[/tex] fits the data quite nicely.

Answer:

3

Step-by-step explanation:

4f-3 = 5f-6

First I would try to get the f's on one side and the other numbers on the other, to do this you woudl have to add 6 to both sides

4f -3 = 5f -6

  +6         +6

Making it into: 4f + 3 = 5f

Now to get the 4f on the other side we will have to subtract it from both sides

4f +3 = 5f

-4f         -4f

3= f  (Remember you do not have to put the 1, making 3 your answer)

Answer:

203.67

Step-by-step explanation:

all those numbers are confusing, but this is what i get from the picture

triangle area formula = 1/2 base * height

rectangle area formula = L * W

AB = 1/2 base * height, = 1/2 * 9 * 4, = 18

ab is the same as AB                        =18

C = 8.1 * 4.5                                      = 36.45

D = 8.1 * 7.2                                        = 58.32

E = 8.1 * 9                                          = 72.9

added together = 203.67

Answer:

B

Step-by-step explanation:

This is a combination problem. For the first letter, there are 26 possible letters in the alphabet to use. For the second, we cannot use the letter used in the first, so there are only 25 possible letters. Repeat this for the remaining 5 letters.

1st - 26

2nd - 25

3rd - 24

4th - 23

5th - 22

6th - 21

7th - 20

To find the number of possible passwords, simply multiply all these numbers together. 26*25*24*23*22*21*20 = 3,315,312,000. Therefore B is the correct answer.

Answer:

B

Step-by-step explanation:

The answer is B

you can find answers for questions like these on quizlet.

Answer:

First one  x = 14

Step-by-step explanation:

First one

The sum of the interior angles of a triangle = 180

so

(180-124)   +  (180-6x)   +  2x = 180

x = 14

The size of the angle QUP in the system formed by the equilateral triangle QUR, the equilateral triangle PUT and the square RUTS is equal to 150°.

By Euclidean geometry we know that squares are quadrilaterals with four sides of equal length and four right angles and triangles are equilateral when its three sides have equal length and three angles with a measure of 60°. In addition, a complete revolution has a measure of 360°.

Finally, we must solve the following equation for the angle QUP:

m∠QUR + m∠QUP + m∠PUT + m∠RUT = 360

60 + m∠QUP + 60 + 90 = 360

m∠QUP + 210 = 360

m∠QUP = 150

The size of the angle QUP in the system formed by the equilateral triangle QUR, the equilateral triangle PUT and the square RUTS is equal to 150°. [tex]\blacksquare[/tex]

To learn more on quadrilaterals, we kindly invite to check this verified question: https://brainly.com/question/13805601

Answer:82

Step-by-step explanation:

90 + 90 × 10%

= 90 + 90 × 0.10

= 90 + 9

= 99

Answer:

See below for answers and explanations

Step-by-step explanation:

A is not a statistical question because there's only a specific value of computers in the lab

B is not a statistical question because there is only one answer, which is 9 letters

C is a statistical question because members can have different favorites (or they find it hard to choose one).

D is not a statistical question because there is only one amount of people that helped out.

E is not a statistical question because each student purchased their own amount of video games and data can be collected for each individual student

Answer:

B. 33.95

Step-by-step explanation:

177.25 - 7.50 = 169.75

169.75/5 = 33.95

Answer:

b

Step-by-step explanation:

the volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius , h is the height )

here diameter = 12 , so r = 12 ÷ 2 = 6 and h = 22 , then

V = [tex]\frac{1}{3}[/tex]π × 6² × 22

   = [tex]\frac{1}{3}[/tex]π × 36 × 22

    = [tex]\frac{1}{3}[/tex]π × 792 ( cancel 3 and 792 by 3 )

    = π × 264

    ≈ 829.4 m³ ( to the nearest tenth )

Answer:

-280

Step-by-step explanation:

step-by-step explanation: so ( x-2y)^7 expanded is: x^7-14 x^6y+84x^5y^2-280x^4y^3+560x^3 y^4-672x^2y^5+448xy^6-128y^7. The x^4y^3 term would then be -280 x^4y^3,meaning the coefficient (the number before the variables) here is 280

Answer:

0.293263 rounded to the ten thousandths place

=0.2933

Answer:

0.2933

Step-by-step explanation:

0.293263 is the decimal you have to round.

0.293263 (the first 2 is in the tenths place)

0.293263 (the 9 is in the hundredths place)

0.293263 (the first 3 is in the thousandths place)

0.293263 (the second 2 is in the ten-thousandths place)

0.293263 (the 6 is in the hundred-thousandths place)

0.293263 (the second 3 is in the millionths place)

They tell you to round the decimal to the ten thousandths place.

The second 2 is in the ten-thousandth place (0.293263).

To round digits you look at the number to its right, if it is 5-9 you round the number up, if it is 0-9 you leave the number as it is.

The number to the right of the number we're rounding (the 2 in the ten-thousands place) is a 6, 6 is a 5-9 number so we round the ten-thousands place digit up 1 number, (from 2 to 3).

And we have our rounded number 0.2933

Hope that helped... Chow!

Answer:

D

Step-by-step explanation:

The distance between point C and the y axis is 2 units

The distance between point A and the y axis is 9 units

2<9

D

Answer:

its d, point c is closer to the y-axis than point a

Step-by-step explanation:

Answer:

Jack: 4 x 6 = 24

Jill: 5.4 x 10 = 54

Step-by-step explanation:

Jack:

5 + 1 = 6

24 ÷ 6 = 4

4 = $4 per item

Jill:

6 + 4 = 10

54 ÷ 10 = 5.4

5.4 = $5.4

B: 11

N: 5

Hope this helps!

Answer:

k ±16

Step-by-step explanation:

Evaluate x^2 + 8 x + k where x = -4:

x^2 + 8 x + k = k - 4 8 + (-4)^2

(-4)^2 = 16:

k - 4 8 + 16

8 (-4) = -32:

k + -32 + 16

Grouping like terms, k - 32 + 16 = k + (16 - 32):

k + (16 - 32)

16 - 32 = -16:

Answer:  k ±16

Answer:

The answer is

k=−11

Explanation:

Let

f(x)=x^3−6x62+kx+10

If (x+2)is a factor

Then,

f(-2)=0

f(−2)= −8− 24 − 2k + 10= 0

2k=-22

k=−11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

  5,450,000

Step-by-step explanation:

The population can be modeled by an exponential function with a growth rate of 1% per month. The time of interest, 5 years, is 60 months.

__

  population = (initial value) × (1 + growth rate per month)^(months)

  p = 3,000,000 × (1.01^60) . . . . . . population in 60 months

  p ≈ 5,450,000 . . . . in 5 years

The estimated population of rats in nyc is about 5,450,000 in 5 years.

y=-2x+5

First of all we need to determine the slope of the line perpendicular to y = 1/2x - 5 .

The slopes of perpendicular lines are opposite reciprocals.

So we take 1/2 , turn it over , and change it's sign :

[tex]^1/_2\:\:\:--- > ^2/_1\:\:\:--- > 2\:\:\:--- > -2[/tex]

The slope of the line perpendicular to y = 1/2x-5 is -2 .

Since we're also given a point that the line crosses , we can write the line's equation in point - slope form :

y-y₁=m(x-x₁)

y-7=-2(x-(-1)

y-7=-2(x+1)

Now convert to slope intercept :

y-7=-2x-2

add 7 on both sides :

[tex]\footnotesize\text{hope\:helpful}[/tex]