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Answer:

10√3m

Step-by-step explanation:

Given :-

We need to find the height of the pole . We are given here base. Therefore using ratio of tan ,

=> tan 60° = p/b

=> √3 = h / 10 m

=> h = 10 m× √3

=> h = 10√3 m

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Explanation:

You could use synthetic division or polynomial long division to find the answer, but a much quicker way is to apply the remainder theorem.

That theorem says that if we divide p(x) over (x-k), then the remainder is p(k).

We're dividing over x+3, or x-(-3), so we can see that k = -3 in this case.

Plug this into the function

f(x) = x^3+5

f(-3) = (-3)^3 + 5

f(-3) = -27 + 5

f(-3) = -22 is the remainder

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If you want to use polynomial long division or synthetic division, then check out the diagram below.

Answer:

B

Step-by-step explanation:

To find f(- 2) substitute x = - 2 into f(x)

f(- 2) = - 2(- 2)³ + (- 2)² + 4(- 2) - 3

        = - 2(- 8) + 4 - 8 - 3

        = 16 + 4 - 8 - 3

        = 9 → B

Answer:

Step-by-step explanation:

Voir le diagramme ci-attaché.

1) Distance EG

À l'aide du théoreme Pythagore, EG^2 = EF²+FG² = 4²+3² = 25

=>  EG = sqrt(25) = 5

2) Distance SO

Par la symétrie, EO=OG=(EG/2)=5/2 = 2.5

Encore, à l'aide du même théoreme,SE^2 = SO²+EO²

SO^2 = SE² - EO² = 6.5²-2.5² = 42.25 - 6.25 = 36

SO = sqrt(36) = 6  QED

3) Volume de la pyramide

V = (Aire de la base * hauteur ) /3

= (EF * FG) * SO /3

= (4*3) * 6 /3

= 24 cm³

Answer:

B; 4,783

Step-by-step explanation:

To find the sum, we have to multiply the number of observations by the mean

Therefore, we simply have the sum calculated as follows;

100 * 47.83 = 4,783

Answer:

D

Step-by-step explanation:

A function cannot have to values of y for a same x, and he only which have it is the graph D

Answer:

Sales tax rate = 3.94%

Step-by-step explanation:

[tex]Sales \ tax \ rate = \frac{15.20}{386} \\\\Sales \ tax \ rate = \frac{38}{965} \\\\[/tex]

Sales tax rate = 0.039378... ⇒ 3.94%

Answer:

Y=5/1 -2

Step-by-step explanation:

I dont know if u can read the answer but its 5 over 1 and thy Y-int is -2

Answer:

Name:- Trinomial

Degree:- 5 [ the highest power of x is 5 ]

hope it is helpful to you

Answer:

c. 100%

Step-by-step explanation:

profit or loss = (sale price - purchase price)/(purchase price) * 100%

profit or loss = (Rs. 300 - Rs. 150)/(Rs. 150) * 100%

profit or loss = (Rs. 150)/(Rs. 150) * 100%

profit or loss = 1 * 100% = 100%

Since the result is positive it is a profit.

Answer: The profit was 100%.

Answer:

Roger

Step-by-step explanation:

Since he is attending more shows, he will benefit. He will save a net amount of $40

Answer:

roger

Step-by-step explanation:

Answer:

the value at which f(x)=0 are the zeros of the function f(x). The graph of such a function will crosses x-axis at that point and the point is (x,0).

Step-by-step explanation:

Answer:

6 ft

Step-by-step explanation:

Side = √area = √36 = 6 ft (we have to find a positive number that multiply by itself gives 36

Answer:

x intercept: 4    y intercept: -10

Step-by-step explanation:

Use desmos graphing calculator :)

Answer:

D. (x+7 , y+4)

Step-by-step explanation:

x values increase by 7

y values increase by 4

Answer:

15.64

Step-by-step explanation:

92% of 17 we can write it like this!

[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]

92% goes in part, 17 goes in whole then 100% below 92!

[tex]\frac{92}{100} =\frac{x}{17}[/tex]

Then, 17 × 92 = 1,564 ÷ 100 = 15.64

Answer:

The students went on vacation for average 40 days.

The high school students went for more days than college students.

Step-by-step explanation:

The data shows number of students who went for vacation. The data class frequency shows that students who are in high school went for more days in vacation than college students. The students went for average of 40 days on vacation.

Answer:

7 is the answer to your question

Step-by-step explanation:

Given that,

The diameter of the merry-go-round, d = 14 feet

Time taken, t = 6 seconds

Radius, r = 7 feet

The linear speed of the merry-go-round is given by :

[tex]v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s[/tex]

Also,

[tex]v=r\omega[/tex]

Where

[tex]\omega[/tex] is the angular speed

So,

[tex]\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s[/tex]

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.

Answer:

43 degrees

Step-by-step explanation:

Step-by-step explanation:

The general form of a linear equation is given by :

y = mx +b

Where

m is the slope

b is the y-intercept

(a) y = 2x - 3

It is in the form of a linear equation.

Standard form, y =2x+(-3)

(b) The equation is 4x = 2y

or

2y = 4x

y = 2x + 0

It is in the form of a linear equation with slope of 2 and y-intercept of 0.

Answer:

[tex]6A=8B=6\left[\begin{array}{ccc}-4&-1&-9\\-9&6&9\\-1&-1&3\end{array}\right][/tex] [tex]-8\left[\begin{array}{ccc}-10&-2&-5\\9&-7&-1\\9&-4&2\end{array}\right][/tex]

[tex]=\left[\begin{array}{ccc}-24&-6&-54\\-54&36&54\\-6&-6&18\end{array}\right][/tex] [tex]-\left[\begin{array}{ccc}-80&-56&-40\\72&-56&-8\\72&-32&16\end{array}\right][/tex]

[tex]=\left[\begin{array}{ccc}56&50&-14\\-120&92&62\\-78&26&2\end{array}\right][/tex]

[tex]So,~ A ~is ~your~ answer~[/tex]

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hope it helps..

have a great day!!

Answer:

If the area of a square = 4cm^2

then the side length of = √4 = 2 cm

Answer:

(-8,5)

Step-by-step explanation:

The standard form of the equation of a circle is expressed as;

(x-a)^2+(y-b)^2 = r^2 where;

(a, b) is the centre

r is the radius

Given the equation (x+8)^2+(y-5)^2=14.

Compare the two expressions

-a = +8

a = -8

Similarly;

-b = -5

b = 5

Hence the centre of the circle is at (-8,5)