Standing at a trailhead, you look up at a 54° angle and see your friend's cell phone reflecting the sun. You know that she is at the top of the 1200-foot cliff and you call her to say you'll meet her at the bottom of the cliff. How many feet will you have to walk to meet? Round to the nearest tenth.

Answers

Answer 1

Answer:

871.9 feet,

Step-by-step explanation:

tan 54 = 1200/ x   where x is the distance you have to walk.

x = 1200 / tan54

= 871.85


Related Questions

A store sells a package of 8 water bottles for $7.20.

What is the price per water bottle?

Answers

Answer:

$0.90

Step-by-step explanation:

$7.20 divided by 8 is 0.9.

Answer:

.90

8 divided by 7.20 is 1.11

1.11 times 7.20 = 8

Step-by-step explanation:

multiply (2a+3)(2a-3)

Answers

Answer:

4a²-9

Step-by-step explanation:

(2a+3)(2a-3) = (2a)²-3² {Difference of two squares}

= 4a²-9

ABC is a right triangle. Find the length of AD.

A. 12 units
B. 2.83 units
C. 7 units
D. There is not enough information to determine the length of AD. ​

Answers

Answer: A

Step-by-step explanation:

What is the interest rate if a principal of $572 earns $228.80 in interest in four years?​

Answers

Answer:

the answer is 10% if it is simple interest you're talking about.

Find the value of Y. Pleasee hellpp meeee

Answers

i'm pretty sure y=30

Answer:

y=30

Step-by-step explanation:

it equals 30 because 2y+y=90. So now you know 3y=90. divide both sides by 3 so you can isolate the y. 90/3=30.

I have 90 because of the right angle. That is a 90-degree angle.

pls help due today :( 26 points promise

Answers

Answer = 14/8

Step by step explanation
2 x 7/8
= (2x7)/8
= 14/8

PLS HELP ME ILL GIVE YOU BRAINIEST

Answers

The answer to that question is 32.6 hope that helps

A line has a rise of 3 and a run of 12. What is the slope?
O 1/3
O 4
O 1/4

Answers

1/4 is the answer
Explanation- 3 divided by 12 is 4 therefore 1/4 of 12 is 3 making 1/4 the slope

find the area with 4cm, 8cm, 16cm

Answers

Answer:

u cant find the area if you dont add a picture or say if the cm is the width or the lenth.

L BOZO

Step-by-step explanation:

Answer:

PLEASE ADD PICTURE OR NOT ANSWER!

Step-by-step explanation:

We don’t know the problem. Pls apply it.

Estimate
10
12

3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.

Answers

Answer:

Step-by-step explanation:

Pls give brainlest if right.

10/20-3/6 ?

what is the rectangular form of the parametric equations x = 4 cos t and y = 5 sint, where

Answers

Let's use some identities to help us solve

 

    [tex]x = 4 cos(t)\\\frac{x}{4} =cos(t)\\\\y = 5sin(t)\\\frac{y}{5} =sin(t)[/tex]

We know -->  [tex]sin^2(t)+cos^2(t) = 1[/tex]

So:

   [tex]\frac{y^2}{5^2} +\frac{x^2}{4^2}=1\\ \frac{x^2}{16} +\frac{y^2}{25} =1[/tex]

Thus the choice is the second choice

An equation is formed of two equal expressions. The correct option is B.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given two of the equations which can be rewritten as shown below,

x = 4 cos(t)

x/4 = cos(t)

Squaring both sides of the equation,

x²/16 = cos²(t)

y = 5 sin(t)

y/5 = sin(t)

Squaring both sides of the equation,

y²/25 = sin(t)

y²/25 = sin²(t)

Adding the two of the given equations we will get,

(x²/16) + (y²/25) = cos²(t) + sin²(t)

(x²/16) + (y²/25) = 1, this is because cos²(x) + sin²(x) = 1

The rectangular form of the parametric equations x=4cos(t)and y=5sin(t) is (x²/16) + (y²/25) = 1.

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Help me please I would really appreciate it

Answers

Adjacent angles in parallelograms are supplementary angles thus :

[tex]x + 130 = 180[/tex]

[tex]x = 180 - 130[/tex]

[tex]x = 50[/tex]

A restaurant sells chicken nuggets in 6-piece and 9-piece cartons. in one day they sell a total of 162 nuggets in 23 cartons. how many of each size carton did the restaurant sell?

Answers

Answer: 18 nine piece cartons
27 six piece cartons
Explanation:you would divide 162 by each number

Factor 25x^2-64

(5x+8)(5x-8)
(5x-8)^2
(5x+8)(-5x-8)
(-5x+8)(5x-8)

Answers

Answer:

Given Equation

[tex] \bf \: 25 {x}^{2} - 64[/tex]

we have to factorise the given equation .

We will use the following identity here

(- b²) = (a + b) ( a - b)

Let's factorise it

[tex]\sf \longrightarrow \: 25 {x}^{2} - 64 \\ \\ \\ \sf \longrightarrow \: {5x}^{2} - {8}^{2} \\ \\ \\ \sf \longrightarrow \:(5x + 8)(5x - 8)[/tex]

Therefore,

Required answer is ( 5x+8)(5x-8)

So, your answer is (5x+8) ( 5x-8)

i will marke brainliest. what is If 1=3

2=3

3=5

4=4

5=4

Then, 6=?

Heres a hint think about how many words are in the number when it is in word form

Answers

Answer:

3

Step-by-step explanation:

Count the number of letters

1 = one ⇒ 3 letters2 = two ⇒ 3 letters3 = three ⇒ 5 letters4 = four ⇒ 4 letters5 = five ⇒ 4 letters6 = six ⇒ 3 letters

Change integers to strings and put them

1=one=32=two=33=three=54=four=45=five=36=six=37=seven=5

Hence answer is 3

What is the answer to this math problem?

Answers

Answer:

7

Step-by-step explanation:

[tex]\dfrac{9 + 5}{2} \\\\\\= \dfrac{14}{2} \\\\\\= \dfrac{2 \times 7}{2} \\\\\\= \dfrac{7}{2 \div 2} \\\\\\= \dfrac{7}{1} \\\\\\= 7[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{9+5}{2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14}{2}[/tex]

[tex]\\ \rm\Rrightarrow 14\div 2[/tex]

[tex]\\ \rm\Rrightarrow 7[/tex]

Done!

six bags of flour and 4 bags of sugar weighs 64 pounds 8 bags of flour weigh 64. all bags of flour weigh the same and all bags of sugar weigh the same. what is the ratio of one bag of flour to one bag of sugar ?

Answers

Answer:

the ratio of one bag of flour is 8

PLEASE HELP Solve the right triangle.
Round your answers to the nearest tenth.

Answers

I think A equals 44 degrees
A = 44 ( triangles add up to 180°) as you can see there is a right angle, a right angle = 90°. Sooo if we do 90+46 we get 136. Since a triangle adds up to 180° we do 180-136=44

Zaire is making granola bars. For one batch of bars, the recipe calls for 1 2/3 cups of rolled oats and ½ cup of raisins. What is the combined amount, in cups of rolled oats and raisins, used in one batch of granola bars?

Answers

Answer:

13/6

No explanation sorry :(

g(n)=−50−15ng, left parenthesis, n, right parenthesis, equals, minus, 50, minus, 15, n Complete the recursive formula of g(n)g(n)g, left parenthesis, n, right parenthesis. g(1)=g(1)=g, left parenthesis, 1, right parenthesis, equals

Answers

Answer:

  g(n) = g(n-1) -15

  g(1) = -65

Step-by-step explanation:

We can find the recursive formula from the explicit formula for this arithmetic sequence by substituting 1 and (n+1) for n in the explicit formula.

__

  g(n+1) = -50 -15(n+1) = (-50 -15n) -15 . . . . . find g(n+1)

  g(n+1) = g(n) -15

and ...

  g(1) = -50 -15(1) = -65

Then the recursive formula can ge written as ...

  g(n) = g(n-1) -15

  g(1) = -65

_____

Additional comment

We found g(n+1) = g(n) -15. Substituting n-1 for n in this formula puts it in the form we need for answering the question:

  g((n-1)+1) = g(n-1) -15

  g(n) = g(n -1) -15

Either of these forms tells you how to get the next term from the previous one.

Answer:

g(n) = g(n-1) -15

g(1) = -65

Step-by-step explanation:

answer on khan

!!20 points and Brainliest please help!!!

Which of the following could be factored by grouping?

A) ab + ad - ac + ae
B) ac + ad + bc - bd
C) ab + cd – ab + cd
D) ac + ad + bc + bd

Answers

D) ac + ad + bc + bd

Hope it helps :)

Answer:

D) ac + ad + bc + bd

Step-by-step explanation:

How do solve a system of equations

Answers

Answer:

you have 3 way which one you want comparison supstitution or the third one

ways of solving a system equationgraphingsubstitutionelimination

What is the equation of the line that passes through (4, -1)
and has a slope of -5?
A y = -5x + 19
B y = -5x + 21
C y = -5x - 19
D y = -5x – 21

Answers

Answer:

Step-by-step explanation:

answer: y = -5 + 19

We can use the point-slope formula to find an equation to solve this problem. The point-slope formula states: (y−y1)=m(x−x1)

Where m is the slope and (x1y1) is a point the line passes through.

Susbtituting the slope and values from the point from the problem gives:

(y−−1)=−5(x−4)

(y+1)=−5(x−4)

We can also solve this for the slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b

Where m is the slope and b is the y-intercept value.

Substitute the slope from the problem for m and the values of the point from the problem for x and y and solve for b:

−1=(−5⋅4)+b

−1=−20+b

20−1=20−20+b

19=0+b

19=b

We can substitute for m and b in the formula to find the equation:

y=−5x+19

We have y=ax+b
Substitute all the informations we have :
-1= -5(4) +b
solve for b
B = 19
A is the correct answer

Find the volume and surface area of this combined figure.

Answers

The volume and surface area of the composite shape are 575.6cm³ and 518.1cm² respectively

How to calculate the volume and surface area of composite shapes

Composite shapes are the combination of two or more shapes combined together.

The composite shape given is made up of a hemisphere and a cone

Volume of the composite shape = 2/3πr³ + 1/3πr²h
Volume of the composite shape = 1/3πr²(2r+h)

Volume of the composite shape = 1/3(3.14)(5)²(2(5)+12)

Volume of the composite shape = 1/3(3.14)(5)²(22)
Volume of the composite shape = 575.6cm³

Hence the volume of the composite shape is 575.6cm³

Calculate the surface area

Surface area = πr(r+l) + 3π r²

Surface area = 3.14(5)(13+5) + 3(3.14)(25)
Surface area = 282.6 + 235.5 = 518.1 square cm

Hence the surface area of the composite figure is 518.1 square cm

100 PTS!!A dilation with a scale factor of 4 is applied to the three line segments shown. The resulting images are P’Q’ and A’B’ and M’N’.

Drag and drop the measure to correctly match the lights of the images.

P’Q’ ->
A’B’->
M’N->

Choices: 0.375cm, 0.5cm, 0.75cm, 6cm, 8cm, 12cm.

Answers

Answer:

P'Q' ⇔ 8 cm

A'B' ⇔ 6 cm

M'N' ⇔ 12 cm

Step-by-step explanation:

A dilation with a scale factor of 4 is applied to the three line segments PQ, AB and MN.

The length of PQ is given as: 2 cm.

The length of line segment AB is given as: 1.5 cm

The length of line segment MN is given as: 3 cm.

Now as there is a dilation with a scale factor of 4 to all the line segments this means that the resulting image will have length 4 times the length of these line segments.

PQ → P'Q'

⇒ Length of P'Q'= 8 cm.   ( since 4×2=8)

AB → A'B'

⇒ Length of A'B'= 6 cm.   ( since 1.5×4=6)

MN → M'N'

⇒ Length of M'N'= 12 cm.   ( since 4×3=12)

Hence,

P'Q' ⇔ 8 cm

A'B' ⇔ 6 cm

M'N' ⇔ 12 cm

As no points are shown so only steps can be provided to solve

So if A(x,y) is dilated by scale factor 4 then 4 is multiplied with A(x,y)

So new coordinates are (4x,4y)

So

if length of segment was x then after dilation new length is 4x

Suppose n represents the number of multiple-choice questions answered correctly on a 20-question test, The function f(n) represents the points earned on the test, where each question is worth 5 points with no partial credit.

a) Define the function f(n).

b) What is an appropriate domain?

c) What is the range?

Answers

Answer:

A)Let's let M = the number of Multiple choice problems and

N = the number of essay questions.

B)Also, since there are 36 questions altogether, we can say that

M + N = 36

So, therefore

M = 36 - N

Step-by-step explanation:

Hope this helped I couldn’t get C very confusing.

pls help me to answer this​

Answers

Answers:

Sample Variance = 31.03

Sample Standard Deviation = 5.57

See the table below.

===================================================

Explanation:

M refers to the midpoint of each interval. The midpoint is [tex]M = \frac{a+b}{2}[/tex] where a,b are the left and right endpoints.

For example, [tex]M = \frac{0+4}{2} = \frac{4}{2} = 2[/tex] in the first row.

Multiply the frequency with the midpoint to get the third column. Summing this column of values leads to 4+49+180+153+154 = 540 shown at the bottom of that column.

Divide this sum over the sum of the frequencies (2+7+15+9+7 = 40) and we arrive at [tex]\overline{x} = \frac{540}{40} = 13.5[/tex] which is the sample mean xbar.

--------------------------------------------------------------------------

After we determine xbar, we subtract it from each value of M. Then we square the result to get [tex](M - \overline{x})^2[/tex]. Multiply that with the column f to get the new column [tex]f(M-\overline{x})^2[/tex].

This column is added to arrive at 1210 shown in the table below. Divide this over the sum of the frequencies minus 1. So we divide by n-1 = 40-1 = 39 to get roughly 31.03

This is the sample variance.

The square root of this is sqrt(31.03) = 5.57 and this is the approximate sample standard deviation.

Determine the volume of a rectangular prism if
length = 5 inches
width = 4 inches
height = 4 inches

Answers

Answer:

80 inches cubed

Step-by-step explanation:

V=bh

b= 5 x4 h=4

5 x 4 x 4 = 80

Given the speeds of each runner below, determine who runs the fastest.
\text{Frank runs 9 feet per second.}
Frank runs 9 feet per second.
\text{Tony runs 299 feet in 34 seconds.}
Tony runs 299 feet in 34 seconds.
\text{Zach runs 1 mile in 396 seconds.}
Zach runs 1 mile in 396 seconds.
\text{Will runs 675 feet in 1 minute.}
Will runs 675 feet in 1 minute.

Answers

Frank 9feet per second
Tony 8.79feet per second
Zach 13.34feet per second
Will 11.25feet per second

Tony runs fastest

Zach  runs with 14.31 feet per second speed  and faster than other runners.

What is Speed?

Speed is measured as the ratio of distance to the time in which the distance was covered

Given that Frank runs 9 feet per second.

Speed=Distance /time

=9 feet/ 1 second

=9 feet per second.

Tony runs 299 feet in 34 seconds

Speed=299/34

=8.794 feet per second.

Zach runs 1 mile in 396 seconds.

We know that 1 mile =5280 feet

Speed=5280/369

=14.31 feet per second.

Will runs 675 feet in 1 minute

1 minute is 60 seconds

Speed=675/60

=11.25 feet per second.

Hence, Zach  runs with 14.31 feet per second speed  and faster than other runners.

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Genevieve needs to buy some uniform shirts for her new job. Store A sells uniform shirts for $12 each. Store B sells uniform shirts for $14. 50 each. Genevieve has a coupon for $10 off her purchase at Store A and another coupon for $20 off her purchase at Store B.

Write an

equation that can be used to determine s, the number of uniform shirts Genevieve can buy to

make the total purchase price the same for each store.

Answers

Therefore, the resulting expression for the price Genevieve will pay

will be:  p - 100 - 3/20p

-lukelaws

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