You and another person are sunbathing on the beach near a lifeguard station. The other person chooses a spot that is the same distance from the shoreline but 11 feet closer to the station than you. The angles of elevation from you and the other person to the top of the lifeguard station are 36 degrees and 46 degrees, respectively. Estimate the height of the lifeguard station to the nearest tenth of a foot.

Answers

Answer 1

Answer: 26.8 feet

Step-by-step explanation:

In the figure attached you can see two right triangles  triangle ABD and a triangle ACD.

You are located at point B and the other person at point C.

The approximate height of the lifeguard station is x.

Keep on mind that:

[tex]tan\alpha=\frac{opposite}{adjacent}[/tex]

Therefore:

For the triangle ABD:

[tex]tan(36\°)=\frac{x}{DC+11}[/tex]    [EQUATION 1]

For the triangle ACD:

[tex]tan(46\°)=\frac{x}{DC}[/tex]    [EQUATION 2]

Solve from DC from [EQUATION 2]:

[tex]DC=\frac{x}{tan(46\°)}[/tex]

Substitute into [EQUATION 1] and solve for x:

[tex]tan(36\°)=\frac{x}{(\frac{x}{tan(46\°)}+11)}\\tan(36\°)(\frac{x}{tan(46\°)}+11)=x\\11*tan(36\°)=x-\frac{xtan(36\°)}{tan(46\°)}\\7.991=0.298x[/tex]

[tex]x=26.81ft[/tex]≈26.8ft

You And Another Person Are Sunbathing On The Beach Near A Lifeguard Station. The Other Person Chooses

Related Questions

Which is a correct first step for solving this equation? -2x+7+5x-4=2x-6​

Answers

Answer:

I gave you the first step(s) for solving it, now learn. Comment on this if you still don't get it.

Step-by-step explanation:

Solve -2x+7 first

then 5x+4

then 2x-6

Answer:

x= -9

Step-by-step explanation:

-2x+7+5x-4=2x-6

first you need to combined like term

3x + 3         = 2x-6

     -3                 -3

  3x             = 2x-9

  -2x              -2x

    1x             =  -9

     1x is x and x equal -9

Whats 39762863x756827549852??

Answers

3.00936e19 is the answer

which equation is a radical equation?​

Answers

[tex]3d = \sqrt{d + 5} \: is \: a \: radical \: equation[/tex]

[tex]3d = \sqrt{d+5}[/tex] is a radical equation.

What is a radical equation?

A radical equation is an equation in which a variable is under a radical.

According to the given question.

We have some equation in variables d, n, and h.

If we see the given equation only the equation [tex]3d = \sqrt{d+5}[/tex] is a radical equation because this is a equation in variable d and its variable is under radical sign(√).

And the other equations are not radical equations because no single variable of the given equations is under radical sign(√).

Hence, [tex]3d = \sqrt{d+5}[/tex] is a radical equation.

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The population of the United States is 3 × 108 people, and the population of the world is 6.9 × 109 people. How many times larger is the world population? Write your answer in standard notation.

Answers

Final answer:

The world population is approximately 23 times larger than the population of the United States.

Explanation:

The question is asking how many times larger the world population is compared to the population of the United States. You can determine this through division. In this case,
6.9 × 109 (the world population) divided by 3 × 108 (the US population) equals approximately 23. This means that the world population is approximately 23 times larger than the population of the United States.

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The answer is expressed in standard notation as 23.

To calculate how many times larger the world population is compared to the United States, we divide the world population by the population of the United States. Given the world population as 6.9 × 10^9 people and the U.S. population as 3 × 10^8 people, we perform the following calculation:

6.9  × 10^9 ÷ 3 × 10^8 = 23 times larger.

When we divide these two numbers, we subtract the exponents (since the bases are the same) resulting in 10^1, which is just 10. Multiply the non-exponential part: 6.9 ÷ 3, which equals 2.3. Therefore, 2.3 × 10 tells us that the world population is 23 times larger than the population of the United States. To write this in standard notation, we simply say the world population is 23 times larger.

A can of tuna fish is a cylinder with a height of 1.75 inches and a diameter of 3 inches. If the can is half full, how many cubic inches of tuna is in the can?

Answers

Answer: [tex]6.185in^3[/tex]

Step-by-step explanation:

The formula for calculate the volume of a cylinder is:

[tex]V_{cylinder}=\pi r^2h[/tex]

r is the radius of the cylinder and h is the height of the cylinder.

Given the diameter of 3 inches, calculate the radius of the cylinder with:

[tex]r=\frac{d}{2}[/tex] (Where d is the diameter)

 [tex]r=\frac{3in}{2}=1.5in[/tex]

Knowing the height and the radius, you can calculate the volume of the entire can of tuna:

[tex]V_{can}=\pi (1.5)^2(1.75in)=12.37in^3[/tex]

As you want to know the cubic inches of tuna that are in the can (volume of tuna), and you know that the can is half full, then:

[tex]V_{tuna}=\frac{V_{can}}{2}\\\\V_{tuna}=\frac{12.37in^3}{2}\\\\V_{tuna}=6.185in^3[/tex]

Answer:

Step-by-step explanation:

jaz its alexis

This is a probability problem. Please help me and explain how you came upon your answer.

Answers

Answer:

151

Step-by-step explanation:

The relative frequency of an item is calculated by dividing the item’s frequency by total frequency.

Relative Frequency=f/(∑f)

Since we know the relative frequency of peanut butter flavored treats and total number of treats, we can use both the values to calculate the frequency of peanut butter flavored treats

Putting the value of relative frequency of peanut butter flavored treats and total frequency in the above formula

0.302=  f/500

f=0.302*500

f=151

For a small music concert, each child in attendance will get a free toy trumpet. Five adults are expected for every 2 children. Find how many children are expected if there are 15 adults, 25 adults, and 40 adults.

Answers

Answer:

If there are 15 adults we can expect 6 children, for 25 adults we can expect 10 children, and for 40 adults we can expect 16 children.

The length of a rectangle is 2 times its width . If the perimeter of the rectangle is 36 inches, find its length and width

Answers

Answer:

Step-by-step explanation

If breadth =x

Length =2x

Perimeter = 2x +x +2x+x

36=6x

X=6

Therefore breadth =6

Length =12

Final answer:

The question asks about finding the length and width of a rectangle given its perimeter. By setting up and solving an equation, we found that the rectangle's width is 6 inches, and its length is 12 inches.

Explanation:

Given that the length of a rectangle is 2 times its width, and the perimeter of the rectangle is 36 inches, we are asked to find the length and width of the rectangle. We can start by defining the width as 'w' and the length as '2w'. The formula for the perimeter of a rectangle is 2(length + width). We can substitute our definitions of length and width into this formula to get 2(2w + w) = 36. Simplifying this gives 3w = 18, so the width is 6 inches. Therefore, the length is 2 × 6 = 12 inches.

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Write an equation that gives the proportional relationship of the graph. A) y = 1 3 x B) y = 2x C) y = 3x D) y = 6x

Answers

Answer:

C

Step-by-step explanation:

A proportional graph is a line. Every line has a slope. The slope is found by subtracting two points as a ratio. The line has points (0,0) and (2,6).

6-0 = 6

2 -0 = 2

The ratio is vertical over horizontal so 6/2 = 3.

The equation is y = 3x.

Read more and see MY solution at https://brainly.com/question/12368013#readmore

Answer:

C) y = 3x

Step-by-step explanation:

The given graph show a proportional relationship that it's modelled by a linear equation. We can make all the process to calculate the equation that belongs to that behaviour. We just have to find the slope:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}} \\m=\frac{18}{6}=3[/tex]

Using the slope interception formula: [tex]y=mx+b[/tex]

[tex]y=3x+0[/tex]

Because the interception with the vertical axis is null, so the equation would be:

[tex]y=3x[/tex]

Therefore the answer is C.

What is the area of this figure?

A) 48 in2

B) 53 in2

C) 56 in2

D) 83 in2

Answers

That's correct is C, thanks

Answer:

the answer is C

Step-by-step explanation:

What is the product of any integer and -1

Answers

Answer:

The negative counterpart

Step-by-step explanation:

x * -1 = -x

For example, 3 * -1 = -3

Hope this helps.

Product of any integer and -1 is negative/positive integer.

For example:

2 • -1 = -2, but

-2 • -1 = 2.

I have 11 red marbles and 4 blue marbles in a bag if I choose one what color will it be

Answers

it will most likely be red

Red

The simplified ratio is for every 1 blue marble there is 2.75 red marbles. Do you are more likely to pull out red.

A diameter of a circle had endpoints of (-5, 6) and (-5,-2). What is the equation of this circle?

Answers

Answer: OPTION A

Step-by-step explanation:

Apply the formula for calculate the distance between two points to know the value of the diameter of the circle:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\D=\sqrt{(-5-(-5))^2+(-2-6)^2}\\D=8[/tex]

The equation of the circle is standard form is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where r is the radius and (h,k) is the point of the center of the circle.

As we know the diameter, we can find the radius:

[tex]r=\frac{8}{2}=4[/tex]

Substitute it into the equation:

[tex](x-h)^2+(y-k)^2=(4)^2[/tex]

[tex](x-h)^2+(y-k)^2=16[/tex]

Then, the answer is:

[tex](x+5)^2+(y-2)^2=16[/tex]

Triangle ABC has measures a equals 2 b equals 2 and angle a equals 30 degrees what is the measure of angle B

Answers

Hello!

The answer is: Angle B is 30°

Why?

Since we know that both sides, a and b are equal to 2, and angle A is equal to 30°, we can conclude that angle B is also equal to 30°. Also, we can know that the other angle (C) will be equal to 120° since the sum of all the angles in a triangle will be always equal to 180°.

Have a nice day!

Answer:

B: 30 degrees

Step-by-step explanation:

a=2

b=2

<b = 30

Convert 3.5 yards to feet round answers to the nearest tenth

Answers

Answer:

The answer is B. 10.5 feet

Step-by-step explanation:

In every one yard there's three feet.

3.5 X 3 = 10.5

Hope this helps :)

I'm having trouble with figuring out a question in algebra. It is: 1/8 times x = 1.

Answers

Answer:

8

Step-by-step explanation:

answer is 8 because 1/8 times 8 equals 1

factor a(p–q)+q–p PPPLLZ

Answers

Answer:

(p-q)(a-1)

Step-by-step explanation:

a x (p-q) -1 (p-q) extract the negative sign

(p-q) x (a-1) fact p-q from expression

(p-q)(a-1)

Answer:

Apq is the answer

Step-by-step explanation:

I need help in these please

Answers

1) The sum of an Octagon is 1080°

And all it's sides are congruent (same size, same angle measure)

And an Octagon has 8 sides

So do,

1080 ÷ 8 = 135°

Each side equals to 135°

2) A triangle adds up to 180°.

We have one angle that's 45° and another angle that has a little □ in it.

That little square (□) is called a right angle which = 90°

So do

90 + 45 = 135

180 - 135 = 45

So the value of x is 45°

PLEASE HELP!! 20 points :)

Answers

Answer:

25

Step-by-step explanation:

God I hate these xD

I am gonna try my best to explain how to do this :)

Jen spent $20 at the fair. She spent half of her money on admission and 18% on food. If she spent the rest on rides, how much did she spend on rides?

Answers

Step-by-step explanation:

Half of 20 is 10.

18 percent of 20 is 3.6

20-13.6 is 6.4 so she spent

6 dollars and 40 cents on rides

Defining congruent triangles

Answers

Answer:

E -->R

D-->K

O-->O

Step-by-step explanation:

Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.

Here Angle E corresponds and is congruent to Angle R in these congruent triangles.

Angle D is congruent and corresponds to Angle K for these congruent triangles.

Angle O is equal to Angle O as they are vertical angles across a vertex.

Final answer:

Congruent triangles, in mathematics, are triangles that are of the same size and shape, meaning their corresponding sides and angles are equal. An example would be two triangles each with sides of 3, 4, and 5 units.

Explanation:

In mathematics, specifically in geometry, congruent triangles are defined as triangles that have the same size and shape. This means that their corresponding sides are of equal length, and their corresponding angles are of equal measure. The concept of congruence is important in many aspects of geometry, including the study of shapes, symmetry, and transformations.

Examples of Congruent Triangles:

If we have two triangles, Triangle A (with sides of 3, 4, and 5 units respectively) and Triangle B (with sides of 3, 4, and 5 units as well), these two triangles are congruent, as the lengths of their corresponding sides are equal. You could rotate, flip or move one to coincide exactly with the other, showcasing their congruency.

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Hhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

A

Step-by-step explanation:

Answer:a

Step-by-step explanation:

If a pitch from a moving vehicle sounds lower to a hearer, where is the vehicle in relations to the hearer? A. Past the hearer B. Before the hearer C. Above the level of the hearers ear D. Below the level of the hearers ear

Answers

Answer:

a

Step-by-step explanation:

give the other kid brainiest

A scientist looks at a bacterium and a virus in a lab. The bacterium has a diameter of meters. The virus has a diameter of meters. Which statement accurately compares the sizes of the specimens?

Answers

Answer:

"The diameter of the bacterium is 10 times greater than that of the virus."

Step-by-step explanation:

Size of bacteria is 10^-6

Size of virus is 10^-7

Definitely the bacteria is larger. How many times larger? We find that by dividing the diameter of bacterium by the diameter of virus.

Let's do this:

[tex]\frac{10^{-6}}{10^{-7}}\\=\frac{0.000001}{0.0000001}\\=10[/tex]

Hence, the bacterium is 10 times larger than the virus

Answer:

I got A) "The diameter of the bacterium is 10 times greater than that of the virus."

Step-by-step explanation:

What is the volume of the cone below radius 4 height 27? NEED HELP ASAP THX

Answers

The volume of the cone is 144π units³

Given,

Radius of cone (r) = 4

Height of cone (h) = 27

What is the volume of a cone?

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

Volume of the cone (V)=1/3πhr²

Substitute the values of h and r,

V = 1/3π(27)(4)²

V = 144π units³

Hence, The volume of the cone is 144π units³

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what is the absolute value of 5+|-6|​

Answers

5+|-6|

5+6

11

...

...

..

..

Final answer:

The absolute value of -6 is 6, so the value of the expression 5 + |-6| is 11.

Explanation:

The absolute value of a number is its distance from zero on a number line, regardless of direction.

Hence, the absolute value of -6 is 6. Now let's solve the expression 5 + |-6|.

First, we find the absolute value of -6, which is 6. Adding this to 5, we get:

5 + |(-6)| = 5 + 6 = 11.

Thus, the absolute value of 5 + |-6| is 11.

what is the 19th term of a geometric sequence where a1=8 and a9=360. Round the common ratio and 19th term to the nearest hundredth.

REALLY need help on this one please please.

Answers

Answer:

Step-by-step explanation:

[tex]a_{1} = 8\\a_{9} = 360 = a_{1} \cdot r^9 = 8 \cdot r^9\\r = \sqrt[9]{\frac{360}{9} }  \cong 1.53[/tex]

By the formula of a geometric series:

[tex]S_{n} = a \cdot \frac{1-r^n}{1-r} => S_{19} = 8 \cdot \frac{1-1.53^{19}}{1-1.53}  = 6091.54[/tex]

Answer:

r = 1.6

a19 = 37800

Step-by-step explanation:

First term [tex] a_1 = 8 [/tex] and [tex] a_9 = 360 [/tex] of a geometric sequence and we are to find the 19th term along with the common ratio for this sequence.

We know that the general term of a Geometric Sequence is given by:

[tex]a_n= a \cdot r^{n-1}[/tex]

where [tex]a_n[/tex] is the nth term, [tex]a[/tex] is the first term, [tex]n[/tex] is the number of terms and [tex]r[/tex] is the common ratio.

Substituting the given values in the above formula to get:

[tex]360 = (8)*(r)^(9-1)[/tex]

[tex]360 = 8*(r^8)[/tex]

[tex]r^8 = \frac{360}{8}[/tex]

[tex]r^8 = 45[/tex]

r = 1.6

Finding the 19th term:

[tex]a_n= a \cdot r^{n-1}[/tex]

[tex]a_{19}= 8 \cdot 1.6^{19-1}[/tex]

a19 = 37800

Please help. Ima have to turn this is tomorrow. ​

Answers

Answer:

A) 7x + (-2)

B) 2x + (-12)

C) 4x + (-16)

D) 6x - 4

Step-by-step explanation:

A=

(-1) + 4x + 2 + 2x + x

7x + (-1) + 2

7x + (-2)

B=

-8x + 4 + (-3) + 10x

2x + 4 + (-3)

2x + (-12)

C=

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

(-16) + 1x (Squared) + 3x

(-16) + 1x + 3x

4x + (-16)

D=

2(3x - 2)

(6x - 4)

6x - 4

write the expression in complete factored form. (x+8) - q(x+8) =

Answers

Answer:

-q+1(x+8)

Step-by-step explanation:

It is this because (x+8) is the same so you just add the numbers+variables that x+8 is being multiplied.

Hope this helped

In this figure a || b Find the measure of each angle using either of the given angle measures. Identify the reason for each answer
∠1
∠2
∠3
∠4
∠5
∠6

Answers

Answer:

[tex]m<1=99\°[/tex]

[tex]m<2=81\°[/tex]

[tex]m<3=86\°[/tex]

[tex]m<4=86\°[/tex]

[tex]m<5=86\°[/tex]

[tex]m<6=94\°[/tex]

Step-by-step explanation:

Part 1) Find the measure of angle 1

we know that

[tex]m<1+81\°=180\°[/tex] -----> by supplementary angles

[tex]m<1=180\°-81\°=99\°[/tex]

Part 2) Find the measure of angle 2

we know that

[tex]m<2=81\°[/tex] -----> by alternate exterior angles

Part 3) Find the measure of angle 3

we know that

[tex]m<3=86\°[/tex] -----> by vertical angles

Part 4) Find the measure of angle 4

we know that

[tex]m<4=86\°[/tex] ------> by corresponding angles

Part 5) Find the measure of angle 5

we know that

[tex]m<5=m<4[/tex] -----> by vertical angles

so

[tex]m<5=86\°[/tex]

Part 6) Find the measure of angle 6

we know that

[tex]m<5+m<6=180\°[/tex] -----> by supplementary angles

we have

[tex]m<5=86\°[/tex]

substitute

[tex]86\°+m<6=180\°[/tex]

[tex]m<6=180\°-86\°=94\°[/tex]

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