Answer please..........

Given:

Height of the Statue of Liberty = 305 feet

Angle of elevation = 9 degrees

To find:

The between the tourist and the Statue of Liberty.

Solution:

Using the given information, draw a figure as shown below.

In a right triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In the triangle ABC,

[tex]\tan 9^\circ=\dfrac{305}{x}[/tex]

[tex]x=\dfrac{305}{\tan 9^\circ}[/tex]

[tex]x=1925.6942[/tex]

[tex]x\approx 1926[/tex]

Therefore, the tourist is standing 1926 feet from the Statue of Liberty.

Answer:

1. 27

2. 27

3. 15

Step-by-step explanation:

The solution of the the given three expressions are 27, 22, and 15, respectively.

PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.

The given mathematical expressions can be solved as shown below.

Step1: Solving Parenthesis first,

= 1 + 5 · 2 + (4)²

Step2: Exponents,

= 1 + 5 · 2 + 16

Step3: Multiplication,

= 1 + 10 + 16

Step4: Addition,

= 27

Step1: Parenthesis

= 4 + 8(2.25)

Step2: Multiplication,

= 4 + 18

Step3: Addition,

= 22

Step1: Exponents,

= 0.25 · 64 - 1

Step2: Multiplication,

= 16 - 1

Step3: Subtraction,

= 15

Hence, the solution of the the given three expressions are 27, 22, and 15, respectively.

Learn more about PEMDAS here:

https://brainly.com/question/36185

#SPJ2

Answer:

x = [tex]7\sqrt{3} [/tex] inches

Step-by-step explanation:

- 2021 Edmentum

The height x of the equilateral triangle is 7√3 inches.

Equilateral triangles are triangles that have all their sides and angles equal to each other. The three angles are 60 degrees each.

Therefore,

The side length of the equilateral triangle is 14 inches.

Therefore, To find the height of the triangle using the Pythagoras theorem.

c² = a² + b²

14² - 7² = b²

b² = 196 - 49

b² = 147

b = 7√3

Hence, The height x of the equilateral triangle is 7√3 inches.

learn more on the equilateral triangle here:

brainly.com/question/821299

#SPJ2

Answer:

the answers below:

1: (3,-2)

2: ( -3,2)

Answer:

[tex]si = \frac{p \times t \times r}{100} \\ 81.60 = \frac{510 \times 4 \times r}{100} \\ 8160 = 2040r \\ r = \frac{8160}{2040} \\ r = 4\%[/tex]

Answer:

The answer is "6.3 and 5.25"

Step-by-step explanation:

Please find the complete question in the attached file.

Throghout the question the calculated points are:

[tex](0,0) , \ \ (40,252) \\(0,0) , \ \ (40,210) \\[/tex]

Formula for Calculating slope:

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

For First point slope:

[tex]M=\frac{252-0}{40-0}=\frac{252}{40}= 6.3 \ \frac{people}{mi^2}[/tex]

For second point slope: [tex]M=\frac{210-0}{40-0}=\frac{210}{40}=\frac{21}{4}= 5.25 \ \frac{people}{mi^2}[/tex]

Answer:

307/12

(Decimal: 25.583333)

Step-by-step explanation:

Heart if this helped

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer: 1/14 assuming cards are nut returned back in deck

Step-by-step explanation: first is red P(1. R) = 4/8 = 1/2

Second red P(2. R) = 3/7 and P(3. R) = 2/6 = 1/3.

Multiply probabilities , you get 1/14

Answer:

4/56 simplified is 1/14

Step-by-step explanation:

nCr(8,3) = 56

4 (the number of red cards there are) / 56 = 1/14

Answer:

y = -3x + 1,  y = x + 9

Step-by-step explanation:

An equation consists of a slope and the y-intercept. To find the slope, you need to plug the values into the slope formula.

y2 - y1/ x2 - x1

= -8 - 4/ 3 - (-1)

= -12/ 4

= -3

The slope of the first line is -3.

To find the y-intercept, you need to plug in either one of the coordinates into the equation, y = -3x + b

-8 = -3(3) + b

-8 = -9 + b

1 = b

The equation, for the first one, is y = -3x + 1  

Line 2:

11 - 8/ 2 - (-1)

= 1

y = 1x + b

11 = 1(2) + b

11 = 2 + b

9 = b

y = x + 9

Answer:

The answer will be 35/36

Answer:

[tex]\frac{7}{18}[/tex]

Step-by-step explanation:

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

Answer:

[tex]x^{2}[/tex]+[tex]y^{2}[/tex]=9

Step-by-step explanation:

the equation for graphed circles centered at (0, 0) is

[tex]x^{2}[/tex]+[tex]y^{2}[/tex]=[tex]r^{2}[/tex]

and 3 is r (the radius)

Answer:

c ≈ 40

Step-by-step explanation:

Using the sine ratio in the right triangle

sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{26}{c}[/tex] ( multiply both sides by c )

c × sin40° = 26 ( divide both sides by sin40° )

c = [tex]\frac{26}{sin40}[/tex] ≈ 40 ( to the nearest whole number )

Answer:

science is the answer

Step-by-step explanation:

becuse

Answer:

She answered fastest in social studies.

Step-by-step explanation:

Hope that helps

Answer:

the question is fillped i can not see the questions

Step-by-step explanation:

Answer:

r = 4

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

Given:

V = 100.48

h = 6

π = 3.14

Work:

V = πr²(h/3)

100.48 = r²(3.14)(6/3)

100.48 = r²(3.14)(2)

100.48 = r²6.28

r² = 100.48/6.28

r² = 16

[tex]\sqrt{r^2} =\sqrt{16}[/tex]

r = 4

Answer: Y=0x+b

Step-by-step explanation:

Y=mx+b is what we need to set it to.

Since we already know the slope, we can go ahead and find the y-intercept to complete the equation

(-7,2), here -7 is the x and 2 is the y value

y=mx+b

plug all the known information now and solve for b (y-intercept)

y is 2, m (slope) is 0, x is -7

2=0(-7)+b

2=0+b

2=b

y=0x+2 or simply y=2

Answer:

y = 2

Step-by-step explanation:

The line is a horizontal line thru (-7, 2)

Equation:  y = 2

Answer: 257

257 in delta math

Step-by-step explanation:

After 7 years, Riley would $441.5 more have in her account than Ryan.

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Given that Riley invested $5,100 in an account paying an interest rate of [tex]7\tfrac{3}{4}[/tex]% compounded quarterly. Ryan invested $5,100 in an account paying an interest rate of [tex]7\tfrac{1}{4}[/tex] % compounded daily, we need to find that after 7 years how much more money would Riley have in her account than Ryan,

[tex]A = P(1+r/n)^{nt[/tex]

Where A = amount

P = principal

r = rate

n = number of times the amount is compounded and t = time

Riley = compounded quarterly,

[tex]A = P (1 + r / 4)^{4t[/tex]

[tex]A = 5100(1+0.019375)^{4(7)}\\\\A = 5100(1.019375)^{28}\\\\\\[/tex]

[tex]A = 8728.13[/tex]

Therefore, in 7 years Riley has $8728.13.

Ryan = compounded daily,

[tex]A = P (1 + r / 365)^{365t[/tex]

[tex]A = 5100(1 + 0.00019)^{356(7)}\\\\A = 5100(1.00019)^{2555}\\\\A = 8286.64[/tex]

Therefore, in 7 years Ryan has $8286.64.

Riley will have $441.5 more.

Hence after 7 years, Riley would $441.5 more have in her account than Ryan.

Learn more about compound interest, click;

https://brainly.com/question/14295570

#SPJ3

Answer:

1.03

Step-by-step explanation:

2015.71 = 1900(b)^2

44.896659 = 43.588989 * b

44.896659/ 43.588989 = b

1.0300000 = b

Recall ; for an exponential distribution :

b In the equation = 1 + r ; where, r = rate

b = 1 + r

1.0300000 = 1 + r

r = 1.0300000 - 1

r = 0.03

Hence, the value of b in the equation is 1.03

Answer:

V = 540cm3 (E)

Step-by-step explanation:

Area of a square:

A = a2

Perimeter of a Square

P = 4a

Polygon diagonals of a square

q = √(2a2) = a√2

Side of a Square

a = √A

a = P/4

a = q / √2

Square Calculations

Calculate q, P, A | Given a

Given the length of a side calculate the diagonal, area and perimeter

q = a√2

A = a2

P = 4a

Calculate a, P, A | Given q

Given the diagonal length calculate the side length, perimeter, and area

a = q / √2

P = 4a

A = a2

Calculate a, q, A | Given P

Given the perimeter calculate the side length, diagonal, and area

a = P/4

q = a√2

A = a2

Calculate a, q, P | Given A

Given the area calculate the length of the sides, diagonal, and the perimeter

a = √A

q = a√2

P = 4a

Answer:

D

Step-by-step explanation:

I took chemistry so I know

Answer: your welcome lol

Step-by-step explanation:

Answer:8x5=10-x

Step-by-step explanation:

i uploaded a vid on this here

https://www.you tube.com/watch?v=dQw4w9WgXcQ

Answer:

slope = 1

y - intercept = (0.-4)

Answer:

y = 48

Step-by-step explanation:

Plug in 7 for x:

y = x² - 1

y = (7)² - 1

Simplify. Remember to follow the order of operations, PEMDAS.

PEMDAS stands for:

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

~

First, solve the power, then subtract:

y = (7)² - 1

y = (7 * 7) - 1

y = (49) - 1

y = 48

48 is your value for y.

~