heellllllllllllllpppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Find the angle of elevation of the sun when a 12.5 meter-tall telephone pole casts a 18meter-long shadow.
Guick!!!!!!!!!!​

Answer:

96π

Step-by-step explanation:

The transformation x = au , y = bv (a>0, b>0) can be re-written as;

[tex]\dfrac{x}{a}= u , \dfrac{y}{b}=v ;[/tex] which maps the circular region u² + v² ≤ 1 into the elliptical region

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}\le 1[/tex]

Integrating and transforming the elliptical region into a circular region;

[tex]\int \int _R \sqrt{16x^2+9y^2}\ dA[/tex]

here;

R = region enclosed by the ellipse.

[tex]\dfrac{x^2}{9}+\dfrac{y^2}{16}=1[/tex]

Let x = 3u ; y = 4v

Jocobian = J(x,y)

                [tex]= \left[\begin{array}{ccc}\dfrac{\partial x}{\partial u}&\dfrac{\partial x}{\partial v}\\\dfrac{\partial y}{\partial u}&\dfrac{\partial y}{\partial v}\\\end{array}\right] \\ \\ \\ \\ = \left[\begin{array}{ccc}3&0\\0&4\\\end{array}\right] \\ \\ \\ = 12[/tex]

So;

[tex]\int \int_R \sqrt{16x^2+9y^2 \ dA}= \int \int _D\sqrt{16(4u)^2+9(3v)^2} \ |J| dudv \\ \\ \\= 12 \int \int _D \sqrt{x^2 +v^2} \ \ (12) dudv \\ \\ \\ =144 \int \int _D \sqrt{x^2 +v^2} \ \ dudv[/tex]

Using polar coordinates;

[tex]u = rcos \theta ; v = rsin \theta \\ \\ \implies u^2+v^2 = r^2 ; dudv = rdr \theta \\ \\ limits :\\ \\ 0 \le r \le 1, 0\le \theta \le 2 \pi[/tex]

∴

[tex]\int \int _R \sqrt{16x^2 + 9y^2 }\ dA[/tex]

[tex]= 144 \int ^{2 \pi}_{0} \int ^{1}_{0} \ r (rdrd \theta) \\ \\ = 144 \int ^{2 \pi}_{0} \int ^{1}_{0} \ r^2drd \theta \\ \\ = 144 \int ^{2 \pi}_{0}(\dfrac{r^3}{3})^1_0 r d \theta \\ \\ = 144 ( \dfrac{1}{3}) \int ^{2 \pi}_{0} \ d \theta \\ \\ = 144(\dfrac{1}{3}) ( 2 \pi) \\ \\ \mathbf{= 96 \pi}[/tex]

Answer:

7 months.

Step-by-step explanation:

1250-800=450. so more than 450 has to be spent and that comes out to 7 months where you'll spend 455

Answer:

Step-by-step explanation:

Fourth row is least accurate.

hey buddy,

●15x + 5y = 25

5y = 25-15x

y = (25 - 15x) /5

y = 5 - 3x

Answer:

This is your answer ☺️☺️☺️

Answer:

it is D

Step-by-step explanation:

Answer:

2square root of 10

Step-by-step explanation:

to find a simplification of a surd ,there must be a perfect square which you multiply w number to get square root of 40

Answer:

the correct option is

C. m<1 + m<2 = 90

Hope it will help :)❤

Answer:

65 + r = 130

65 + r - 65 = 130 - 65

r = 65

Step-by-step explanation:

6x-7= -1696

6x= -1689

x= -281.5

x − 7 = − 169

x= -162

Answer:

x = 12

Step-by-step explanation:

a² + b² = c²

16² + x² = 20²

256 + x² = 400

x² = 144

x = 12

Answer:

choice 4) x = 12

Step-by-step explanation:

sin 60 = 6/a

0.8660 = 6/a

a = 6.9228

tan 60 = x/6.9228

1.7321 = x/6.9228

x = 12

Answer:

A, C, and F

Step-by-step explanation:

Two angles that lie on the same  side of the transversal in  corresponding positions

Answer:

here is your ans

mark it as brainliest if you think so❤️

9514 1404 393

Answer:

  3)  (0, 0)

  4)  (-1, 2)

Step-by-step explanation:

I find a graphing calculator provides a quick solution to a system of linear equations.

3) The solution is (x, y) = (0, 0)

4) The solution is (x, y) = (-1, 2)

__

In each case, the y-term can be eliminated by multiplying the first equation by 3. For problem 3) the resulting equations must be added. For problem 4), the resulting equations must be subtracted.

Answer:

23

Step-by-step explanation:

2x-7=39

2x=46

x=23

Answer:

[tex]f(x)=(x-3)(x^2+4x+8)[/tex]

Step-by-step explanation:

A polynomial function is given by the form:

[tex]f(x)=a(x-p)(x-q)...[/tex]

Where a is the leading coefficient, and p and q are the roots (more can be added if necessary).

Our zeros are 3 and (-2 + 2i).

And our leading coefficient a = 1.

Furthermore, by the Complex Root Theorem, if (-2 + 2i) is a zero, then (-2 - 2i) must also be a zero.

So, by substitution, we acquire:

[tex]f(x)=1(x-(3))(x-(-2+2i))(x-(-2-2i))[/tex]

Simplify:

[tex]f(x)=(x-3)(x+2-2i)(x+2+2i)[/tex]

Expand the second and third factors:

[tex]\begin{aligned} &=(x+2-2i)x+(x+2-2i)(2)+(x+2-2i)(2i)\\&= (x^2+2x-2ix)+(2x+4-4i)+(2ix+4i-4i^2)\\&=(x^2)+(2x+2x)+(-2ix+2ix)+(-4i+4i)+(4-4i^2)\\&=x^2+4x+(4+4)\\&=x^2+4x+8 \end{aligned}[/tex]

Therefore, our polynomial function of least degree and the given zeros will be:

[tex]f(x)=(x-3)(x^2+4x+8)[/tex]

Answer:

49

Step-by-step explanation:

Let  be the unknown number. Twice means times 2. So, the mathematical sentence should be .

Divide both sides by 2.

To remove the radical symbol, raise both sides to the second power.

Thus, the answer is 49. Twice the square root of 49 is equal to 14.

*CREDIT* goes to CebuMath: https://brainly.ph/question/1047782

HE SOLVED THIS NOT ME.

Answer:

The answer is D ...     4(x – 3)(2x + 5)

Step-by-step explanation:

just answered on edg.

Answer:

D

Step-by-step explanation:

2022

Answer:73/500

Step-by-step explanation: To convert a percent to a fraction, write the percent as a fraction with a denominator of 100

This is gives us a complex fraction which can be simplified by writing the numerator as an improper fraction and then multiplying the improper fraction by 1/100

73/5×1/100=73/500

The fraction in lowest form is 73/500.

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The number is,

⇒ 14 3/5%

Now, Simplify the number in lowest term as;

⇒ 14 3/5%

⇒ 73/5%

⇒ 73/5 × 1/100

⇒ 73 / 500

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ2

Answer:

(-2)^5 / (-2)^4 = -2

Break it down. (-2)^5= -32. (-2)^4= 16. Divide the -32 by 16 and you get -2

Step-by-step explanation:

Answer:

2142

Step-by-step explanation:

The range is the difference between the biggest and smallest number so for this set it would be 3113-971=2142.

Answer:

b

Step-by-step explanation:

Answer:

Box Plot

Step-by-step explanation:

Median: 82

Minimum: 67

Maximum: 123

First quartile: 79

Third quartile: 89

Outlier: 123

Answer:

$551.25

Step-by-step explanation:

1. Encuentre el 25% de $735:

0.25 x 735 = 183.75

2. Reste este número del precio original, $735:

735 - 183.75 = 551.25

The lady paid $551.25 after the 25% discount on merchandise.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a 25% discount is advertised on all merchandise. A lady bought a merchandise for $735.

Assume that she paid $x after the 25% discount. Then, we can write -

[x] = 735 - 25% of 735

[x] = 735 - (25/100) x 735

[x] = 735 - (1/4) x 735

[x] = 735(1 - 1/4)

[x] = 735 x 3/4

[x] = 551.25

Therefore, the lady paid $551.25 after the 25% discount on merchandise.

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/14441381

#SPJ2

[Question in english -

In a store, a 25% discount is advertised on all merchandise. If a lady bought $735, how much did she pay after the discount?]

Answer:

t ➗(division sign) 3 = 7

Hope this helped <3

Answer:

[tex]m = \frac{5}{7}[/tex]

[tex]m_2 = \frac{5}{21}[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (7,5)[/tex]

[tex](x_2,y_2) = (21,15)[/tex]

Using the available details, the solution goes thus:

Solving (a): The slope (m) of this line:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{15 - 5}{21 - 7}[/tex]

[tex]m = \frac{10}{14}[/tex]

Simplify:

[tex]m = \frac{5}{7}[/tex]

Solving (b): Another line with 1/3 of the slope.

This is calculated using:

[tex]m_2 = \frac{1}{3} * m[/tex]

[tex]m_2 = \frac{1}{3} * \frac{5}{7}[/tex]

[tex]m_2 = \frac{5}{21}[/tex]

Answer:

7,5

Step-by-step explanation:

Answer:

8x³

Step-by-step explanation:

Given

16x^4 divided by 2x

= 16x^4 / 2x

= 8x^4-1

= 8x³

Hope it will help :)❤

Answer:

16x⁴/2x=8x^(4-1)=8x³

Answer:

The answer is "[tex]x_k= -\frac{9}{16} (-2)^k + \frac{9}{16} 2^k +\frac{3}{8} k\times 2^k\\\\[/tex]"

Step-by-step explanation:

[tex]\to F(Z)=\frac{3z(z-1)}{z^3-2z^2-4z+8}\\\\\to \frac{F(Z)}{z}=\frac{3z(z-1)}{z(z^3-2z^2-4z+8)}\\\\\to \frac{F(Z)}{z}=\frac{3(z-1)}{(z^3-2z^2-4z+8)}\\\\\to \frac{F(Z)}{z}=-\frac{9}{16} \frac{1}{z+2} + \frac{9}{16} \frac{1}{z-2} +\frac{3}{4} \frac{1}{(z-2)^2}\\\\\to F(Z)=-\frac{9}{16} \frac{z}{z+2} + \frac{9}{16} \frac{z}{z-2} +\frac{3}{4} \frac{z}{(z-2)^2}\\\\\to x_k= -\frac{9}{16} (-2)^k + \frac{9}{16} 2^k +\frac{3}{8} k\times 2^k\\\\[/tex]

Answer:

$14

Step-by-step explanation:

80% of 70= 56

70-56=14