Assuming that a 330-foot tall giant redwood grows vertically, if I walk a certain distance from the
tree and measure the angle of elevation to the top of the tree to be 69°, how far from the base of the
tree am I?
Round your answer to four decimal places.
I am about Number
feet away from the base of the tree.

Answers

Answer 1

9514 1404 393

Answer:

  126.6751 feet

Step-by-step explanation:

The tangent relation can be helpful.

  Tan = Opposite/Adjacent

  tan(69°) = (330 ft)/(distance to base)

  distance to base = (330 ft)/tan(69°) ≈ 126.6751 ft

_____

Comment on precision

It would make more sense to round to 4 significant figures. The value of a unit in the fourth decimal place is 0.0001 feet = 0.0012 inches, somewhat less than the thickness of a human hair. We know of no technology that will make a measurement of that distance to that accuracy.


Related Questions

50T Q12 A man wants to buy bags of gravel to cover his driveway. He decides to work out the area of his driveway. 1 bag of gravel covers 14m2 3m Sketch of driveway Not to scale 3m 8m 6m What is the area of his driveway? How many bags of gravel must he buy?​

Answers

Answer:

hi amki nai patajjdkfkejd

A company produces 2 types of computers; desktops and laptops

Answers

Answer:

?

Step-by-step explanation:

please help me with geometry

Answers

Answer:

A. If the side lengths are the same, then a triangle is not scalene.

Step-by-step explanation:

A triangle can be defined as a two-dimensional shape that comprises three (3) sides, three (3) vertices and three (3) angles.

Simply stated, any polygon with three (3) lengths of sides is a triangle.

In Geometry, a triangle is considered to be the most important shape.

Generally, there are three (3) main types of triangle based on the length of their sides and these include;

I. Equilateral triangle: it has all of its three (3) sides and interior angles equal.

II. Isosceles triangle: it has two (2) of its sides equal in length and two (2) equal angles.

III. Scalene triangle: it has all of its three (3) sides and interior angles different in length and size respectively.

an international company has 27,100 employees in one country. if this represents 18.4% of the company's employees, how many employees does it have in total? round to nearest whole number

Answers

i think its 147,282 employees? divided 100 (for 100%) by 18.4 (for 18.4%) and got 5.434… and i multiplied 27,100 by that number

write your answer in simplest radical form​

Answers

Answer:

q = [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{2\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2q = 2[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

q = [tex]\sqrt{2}[/tex]

Will mercury with a density of 13.6 g/mL float or sink?

Answers

Mercury will sink

(sorry if Im wrong)

Answer:

Sink.

Step-by-step explanation:

Mercury is a quicksilver and hence will sink.

Steve thinks he can drive legally 30 minutes after he drinks 5 beers. The legal limit is BAC = 0.08. Give a 90% prediction interval for Steve’s BAC. Can he be confident he won’t be arrested if he drives and is stopped?

Answers

Answer: Hello your question has some missing data attached below is the missing data

How well does the number of beers a student drinks predict his or her blood alcohol content (BAC)? Sixteen student volunteers at Ohio State University drank a randomly assigned number of 12-ounce cans of beer. Thirty minutes later, a police officer measured their BAC. Here are the data. The students were equally divided between men and women and differed in weight and usual drinking habits. Because of this variation, many students don’t believe that number of drinks predicts BAC well.

answer:

prediction  interval : (0.040 , 0.114)

Step-by-step explanation:

Given data:

Confidence level = 90%

Legal limit ( BAC ) = 0.08

solution

sample size = 16

Degree of freedom ( df ) = 14

critical t value =  1.761

X =  4.81

Σ(x-x)² (Sx) =  72.44

also standard error of estimates = 0.0204

Y=  -0.01270  +  0.01796 * 5 = 0.077

given that ; the predicted value of Y at x = 5

Considering individual response Y

standard error = 0.0211

margin of error = 1.761 * 0.021 = 0.0371

Hence the limits of the prediction interval is :

Lower limit  = 0.077 - 0.037 = 0.040.

Upper limit = 0.077 + 0.037 = 0.114

Finally

90% prediction interval  =  (0.040 , 0.114)

At a restaurant, two burgers and one fries cost 6. 50. What is the cost of six burgers and three fries

Answers

Answer:

19.5

Step-by-step explanation:

let burger be x and fries be y

2x+y = 6.5

6x+3y = 3(2x+y) =3(6.5) =19.5

A box of 8 marbles has 4 red, 2 green, and 2 blue marbles. If you select one marble, what is the probability that it is a red or blue marble.

Answers

Answer:

3/4

Step-by-step explanation:

add the no. of red marbles and blue marbles

2+4 = 6

Probability so divide 6/8 simplified to 3/4

Given coordinates A(3,3),B(2,5),C(4,3) complete transformation. Complete double reflection over the lines y=2 followed by y=0.​

Answers

9514 1404 393

Answer:

A"(3, -1)B"(2, 1)C"(4, -1)

Step-by-step explanation:

Reflection over 'a' then over 'b' will result in a translation of 2(b -a). Here, we have a=2, b=0, so the translation is 2(0-2) = -4. The reflection is over horizontal lines, so the transformation is ...

  (x, y) ⇒ (x, y -4)

  A(3, 3) ⇒ A"(3, -1)

  B(2, 5) ⇒ B"(2, 1)

  C(4,3) ⇒ C"(4, -1)

Find x.

A. 7√6/2
B. 28
C. 21/2
D. 7√6

Answers

9514 1404 393

Answer:

  A. 7√6/2

Step-by-step explanation:

The side ratios of the 30-60-90 triangle are 1 : √3 : 2. This means the horizontal line segment is 7√3.

The side ratios of the 45-45-90 triangle are 1 : 1 : √2. This means ...

  x = (horizontal segment)/√2 = (√2)/2 × 7√3 = (7/2)√(2·3)

  x = 7√6/2

Use the graph of ƒ to find ƒ(2).
0.5
–8
–0.5
Does not exist

Answers

Answer:

Step-by-step explanation:

When you're looking to find things like f(2) and f(4) and f(-3000), etc. the number inside the parenthesis is an x value. Look to the graph, find that x value, and locate the y value that corresponds to it. f(2) = -8. f(-1) = 4. f(1) = -4. See?

Answer:

does not exist

Step-by-step explanation:

that what i put hope it helps

the two roots a minus the square root of b and a plus the square root of b are called

Answers

Answer:

The two roots a+√b and a-√b are called Conjugate radicals

Step-by-step explanation:

I'd really appreciate a brainleast:)

Ashley has a rectangle made out of paper that is 8 cm by12 cm. She folds it in half twice, first vertically and then horizontally. The new rectangle looks just like the original rectangle but smaller. What is the area of the new smaller rectangle in square cm

Answers

Answer:

[tex]Area =24cm^2[/tex]

Step-by-step explanation:

Given

[tex]L = 8cm[/tex]

[tex]W = 12cm[/tex]

[tex]r = 2[/tex] -- folded twice

Required

The area of the new rectangle

When the length was folder, the new length is:

[tex]l = L/2 = 8cm/2 = 4cm[/tex]

When the width was folder, the new width is:

[tex]w = W/2 = 12cm/2 = 6cm[/tex]

So, the new area is:

[tex]Area =l * w[/tex]

[tex]Area =4cm * 6cm[/tex]

[tex]Area =24cm^2[/tex]

Which
sequences are geometric? Check all that apply. 5, 10, 20, 50

Answers

Answer:

not geometric

Step-by-step explanation:

The ratios of the numbers in the sequence 5, 10, 20, 50 are 2, 2, 2.5. That is, the ratios are not constant. Hence the sequence is not geometric.

Answer:

76K would find this fake but.....

Step-by-step explanation:

Non geometrical

What is the slope of the line that passes through the points (4, 10) and (1,10)?
Write
your answer in simplest form.

Answers

Answer:

0

Step-by-step explanation:

We have two points so we can use the sloe formula

m = (y2-y1)/(x2-x1)

   = ( 10-10)/(1-4)

  = 0/ -3

  = 0

Answer:

Slope is 0

explanation:

Slope is the same as gradient.

Formular:

[tex]{ \boxed{ \bf{slope = \frac{y _{2} - y _{1}}{x _{2} - x _{1} } }}}[/tex]

Substitute the variables:

[tex]{ \tt{slope = \frac{10 - 10}{1 - 4} }} \\ \\ = { \tt{ \frac{0}{ - 3} }} \\ = 0[/tex]

which lines are parallel?

Answers

Answer:

Lines 'p' and 'q' are parallel I believe!

Step-by-step explanation:

They are the only two lines relating to angles 8 and 11 of the three listed pairs.

Answer:

p and q are parallel

Step-by-step explanation:

Select the expression that has a value of 13.

9 + 3 x (2 ÷ 3) + 6
(9 + 3) x 2 ÷ 3 + 6
9 − (3 x 2) ÷ 3 + 6
(9 + 3 x 2) ÷ 3 + 6

Answers

Answer:

9 − (3 x 2) ÷ 3 + 6 is the answer

A population is currently

Answers

Answer:

Step-by-step explanation:

The current world population is 7.9 billion as of July 2021 according to the most recent United Nations estimates elaborated by Worldometer. The term "World Population" refers to the human population (the total number of humans currently living) of the world.

What is the equation of a line that passes through the point (5,-3) and has a slope of -2

Answers

Answer:

y=-2x+7

Step-by-step explanation:

The Slope is obviously -2, and just add a random y and play around with it until it goes through the point (5,-3)

Put the following equation of a line into slope-intercept form, simplifying all fractions 2x-2y=14

Answers

Answer:

y = x - 7

Step-by-step explanation:

Answer: y = x - 7

Slope intercept form: y = mx + b

[tex]2x-2y=14\\\\-2y=-2x+14\\\\y=\frac{-2x+14}{-2} =\frac{-2(x-7)}{-2} =x-7[/tex]

The length of a rectangle is 7 inches
more inan its width. the area of
the rectangle is eqaul to 4 inches less
than 4 times the perimeter. Find the
length and width of the rectangle

Answers

Answer:

length = 20 inches

width = 13 inches

Step-by-step explanation:

l = length

w = width

area = l×w

perimeter = (2×l) + (2×w)

l = w + 7

l×w = 4×(2×l + 2×w) - 4

(w+7)×w = 4×(2×(w+7) + 2×w) - 4

w² + 7w = 4×(2w + 14 + 2w) - 4

w² + 7w = 8w + 56 + 8w - 4 = 16w + 52

w² - 9w - 52 = 0

the solution for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

here we use now w instead of x.

and a=1

b=-9

c=-52

w = (9 ± sqrt(81 - -208))/2 = (9 ± sqrt(81+208))/2 =

= (9 ± sqrt(289))/2 = (9 ± 17)/2

w1 = (9+17)/2 = 26/2 = 13

w2 = (9-17)/2 = -8/2 = -4

and a negative length does not make any sense for a geometric shape.

so, only w1 = 13 applies.

l = w + 7 = 13 + 7 = 20

In an experiment, the initial temperature of a solution is -5 °C. The solution is heated up at 3 °C per minute for 19 minutes and then it is cooled at 4 °C per minute for 6 minutes. Calculate the final temperature, in °C, of the solution.​

Answers

Answer:

28°C

Step-by-step explanation:

First you do 3*19=57°C

-5+57= 52°C

then you do 4*6=24 °C

as its being cooled you takeaway

52-24=28°C

Please help! There is 2 questions in this pic! Thank you so much to whoever helps me

Answers

Answer:

[tex]{ \sf{thats \: it}}[/tex]

absolute value means they answer should be positive
ans |-13-17|=30
|-30|=30

Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data.
A supervisor must give a summary evaluation rating from among the choices given below:
1) Poor   
2) Fair   
3) Good   
4) Very good   
5) Excellent
a. Are these data qualitative or quantitative?
b. Are these data discrete or continuous?
c. What is the highest level of measurement the data possesses?

Answers

Answer:

Qualitative data

Neither discrete or continous

Ordinal

Step-by-step explanation:

Qualitative data simply refers to Non-numeric measure, they make use of data labels which are expressed in words rather than figures or numbers.

For a data to be either discrete or continous, then it has to be numeric, since the data is qualitative and non- numeric, then it is neither continous or discrete.

This is an ordinal scale representation of data as data are ordered or ranked in terms of performance, however, there is no measure of difference between each rank or order. The highest level of performance in the scale is Excellent.

Given: 3x+11=y, solve for x if y = 29

Answers

answer is 6

Step-by-step explanation:

3x+11=y

y=29

3x+11=29

3x=29-11

3x=18

x=18÷3

x=6

Answer:6

Step-by-step explanation:

3x+11=29

3x=29-11

3x=18

X=18/3

X=6


At a birthday party there were five more girls than boys. If the ratio of girls to boys was 4 to 3,
how many girls were at the party? (Make a chart to help you.)

Answers

Let number if boys be x

No of girls=x+5

ATQ

[tex]\\ \sf\longmapsto \dfrac{x+5}{x}=\dfrac{4}{3}[/tex]

[tex]\\ \sf\longmapsto 3(x+5)=4x[/tex]

[tex]\\ \sf\longmapsto 3x+15=4x[/tex]

[tex]\\ \sf\longmapsto 4x-3x=15[/tex]

[tex]\\ \sf\longmapsto x=15[/tex]

Number of girls

[tex]\\ \sf\longmapsto x+5=15+5=20[/tex]

in aremethic, variables look like

Answers

Variables look like the letters of the alphabet

Find the area enclosed in the graph of
x² + y² 16x + 32y.

Answers

Answer:

3

256

sq.units

Step-by-step explanation:

Both parabolas cut each other at (0,0) and (16,16)

Area enclosed by these parabolas

=∫

0

16

4

x

dx−∫

0

16

16

x

2

dx

=[

3

2×4×x

3/2

]

0

16

−[

16×3

x

3

]

0

16

=

3

2×4

4

3

4

4

=

3

256

sq. units

Paul can install a 300-square-foot hardwood floor in 18 hours. Matt can install the same floor in 22 hours. How long would it take Paul and Matt to install the floor working together?
4 hours
9.9 hours
13.2 hours
30 hours

Answers

Answer:

9.9 hours

Step-by-step explanation:

The formula to determine the time together is

1/a+1/b = 1/c  where a and b are the times alone and c is the time together

1/18 + 1/22 = 1/c

The least common multiply of the denominators is 198c

198c(1/18 + 1/22 = 1/c)

11c+ 9c = 198

20c = 198

Divide by 20

20c/20 =198/20

c =9.9

Answer:

B - 9.9 hrs

Step-by-step explanation:

took the test.

Other Questions
What was the topic of John martinez historical reseearch Find an equation in slope-intercept form of the line that has slope 7 and passes through point A(8,-4)a.) y = 52x + 7b.) y = 7x + 52c.) y = -7x - 52d.) y = -7x + 52 Translate the following into an expression 45% of a per capita income alone cannot indicate the true status of development. present your views on this statement. Which of the following is an opinion adverb Live Trap Corporation received the data below for its rodent cage production unit. OUTPUT INPUT 49,200 cages Production time 630 labor hours Sales price: $3.40 per unit Wages $ 7.40 per hour Raw materials (total cost) $ 31,000 Component parts (total cost) $ 15,355.Required:Find the total productivity in Units Sold and Dollars of Sales per Dollar Input. Nick feels that poverty exists because powerful people exploit the powerless. Jacob disagrees because he thinks poverty serves a purpose in society in that it makes people want to work hard to avoid being poor. Nick is a ___________ while Jacob is a _______________. QUESTION All the following statements support the theory that similar organisms have a common ancestor except...CHOICESa. groups of organisms display similar embryonic developmentb. transitional fossils show links between groups of organismsc. similar DNA patterns occur in closely related organismsd. organisms sharing a habitat tend to develop similar behaviours Choose the correct form of the past tenses Last night at 9 p.m.I (be) at home. I ( watch) television when suddenly I (hear) a noise. I went to check and it ( turn out) that someone ( break) a window at the back of the house! I (try) to phone the police, but the burglar (cut) the phone line so I couldn't get through. I (run) upstairs and I (phone) the police on my mobile. The burglar heard me and while I (speak) he ran away. It was a frightening experience. While My sister ..The piano, my mother..TV. A. Was playing was watching B. Played watched C. Played - was watching D. Was playing watched ADBIf mZABD = 60, then mZDBC = [?] write your answer in simplest radical form What is the perimeter of the following figure The mutation of a cell for a specific function is called Mrs brown designed a rug if it cost $22 per square foot to make how much will Mrs brown pay if the square feet is 31.25 Simplify: 3(y + 2)2 5 + 6y. Read the scenario.What type of method was used by the traffickers torecruit the girl?A young girl from Ukraine reads an advertisement in alocal newspaper about modeling jobs in Hollywood. Shecalls the number and they tell her that many of theirmodels have gone on to work in movies and TV shows inthe United States. When she arrives at the airport, theypick her up and take her to an apartment. There, they takeher passport and tell her that she must sell sex servicesand give them the money to pay back the cost of herairplane ticket.O offer of educationO payment for smugglingO offer of workfalse love interest what is the length of the third side triangle? On January 1, 2016, Weaver Company purchased as held-to-maturity debt securities $500,000 face value of Park Corporation's 8% bonds for $456,200. The bonds were purchased to yield 10% interest and pay interest annually. The bonds mature on January 1, 2021. Weaver uses the effective interest method of amortization. What amount should Weaver report on its December 31, 2016, balance sheet as an investment in held-to-maturity debt securities 8 thousand+7tens=6thiusand+. tens