A camper ties a rope from a tree to the ground to help build a shelter. The rope is 8 feet long, and it is tied 6 feet up the tree. How far from the tree is the rope anchored to the ground? Use the Pythagorean theorem to find the answer.

Answers

Answer 1

Answer:

≈5.3 feet,63.6 inches

Step-by-step explanation:

36+b²=64

-36 -36

b²=28

if we square root both sides we can get the radical/exact answer or the rounded one

radical: 4√7

rounded to the nearest tenth: 5.3 feet


Related Questions

Select the correct answer.
Consider function f.
f(x) = 2x²
What is the value of (ƒ•ƒ)(x)₂
O A.
8x4
OB. 16x4
OC. 4x4
4x2
D.

Answers

Step-by-step explanation:

[tex]f(x) = 2 {x}^{2} [/tex]

[tex] \: [/tex]

[tex] = (f \circ f)(x)[/tex]

[tex] = f(f(x))[/tex]

[tex] = 2 {x}^{2} [/tex]

[tex] = 2 {(2 {x}^{2} )}^{2} [/tex]

[tex] = 2(4 {x}^{4} )[/tex]

[tex] = 2.4 {x}^{4} [/tex]

[tex] = 8 {x}^{4} [/tex]

The answer is A.

The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y < −2x + 10 y < 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 I B A F Question 8(Multiple Choice Worth 1 points) (04.06 MC) In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB. Graph of two intersecting lines. One line g of x is solid and goes through the points negative 3, 0, negative 4, negative 1 and is shaded in below the line. The other line f of x is solid, and goes through the points 1, 1, 2, negative 1 and is shaded in below the line. The graph represents which system of inequalities? y ≤ −2x + 3 y ≤ x + 3 y ≥ −2x + 3 y ≥ x + 3 y ≤ −3x + 2 y ≤ −x + 2 y > −2x + 3 y > x + 3 Question 9(Multiple Choice Worth 1 points) (04.06 LC) Choose the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and i

Answers

The graph that represents the system of inequalities will be y ≤ −2x + 3; y ≤ x + 3

How to depict the graph?

The equation of the line will be:

y = mx + b

In this case, we can observe that both lines have the same y intercept and that the lines are solid.

Hence, graph that represents the system of inequalities will be y ≤ −2x + 3; y ≤ x + 3. The graph is attached.

When the coordinate grid shows points A through, the point that is a solution to the system of inequalities is negative 6 point G at negative 3, negative 10 point H at negative 4.

Finally, the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 is the graph of two intersecting lines where both lines are solid.

One line of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.

Learn more about graphs on:

brainly.com/question/19040584

#SPJ1

Please help asap
What is the domain and range of T

Answers

Answer:

Domain = {-3, -2}Range = {-4, -3, 4}

Step-by-step explanation:

The domain is the set of x-values, and the range is the set of y-values.

What is m2?
What is m<1?

Answers

Answer:

∠ 2 = 75° , ∠ 1 = 105°

Step-by-step explanation:

∠ 2 and 75° are alternate angles and are congruent , then

∠ 2 = 75°

∠ 1 and ∠ 2 are a linear pair and sum to 180° , that is

∠ 1 + ∠ 2 = 180°

∠ 1 + 75° = 180° ( subtract 75° from both sides )

∠ 1 = 105°

What type of association does the following scatterplot represent?

Answers

Answer:

Positive Linear Association

Step-by-step explanation:

A positive/negative association can be determined by seeing if the slope of the line of best fit is positive or negative. A positive slope indicates a positive relationship and a negative slope indicates a negative relationship.

If y increases as x increases => positive

If y decreases as x increases => negative

In the graph, the line of best fit clearly has a positive slope. I.e. as x increases, y also increases. Therefore, the association is positive.

Next determine if the relationship is linear or nonlinear. A linear relationship can be modeled strongly with a straight line. Anything else is nonlinear. In the graph, a straight line can be draw through the points with a strong correlation, therefore the association is linear.

Therefore, the best answer is Positive Linear Assosciation

Solve the equation

This is a question from a mock exam I could not answer

Answers

Yes answer is x = 2, 1

The graphs of the functions f (x) = 2x+ 7 and g(x) = x2 -1 intersect in t
xy-coordinate plane. What are the points of intersection?

Answers

Answer:

See below

Step-by-step explanation:

This is a line and a parabola......where they intersect the two equations are      equal :

2x+7 = x^2 - 1

x^2 - 2x -8 = 0

(x-4)(x+2) = 0         shows the x-coordinate for intersections at x = 4 and -2

sub these x values into one of the equations to calculate the y coordinate

 y = 2(4) + 7 = 15      so one point is  4,15

y = 2(-2) + 7 = 3      the other point is then  -2, 3

When a range of values is used to estimate a population parameter, it is called a. A point estiamte b. A range estimate c. A statistical parameter d. An interval estimate.

Answers

[tex] \: \huge \underline \mathbb{ \green{Answer}} \\ \\ \: \: \tt \boxed{\blue{d. \: \: an \: \: interval \: \: estimate}}[/tex]

Solve for x..........
[tex]5x - x - 8 = 15 + 3x[/tex]​

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 23 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 5x - x - 8 = 15 + 3x[/tex]

[tex]\qquad \tt \rightarrow \: 4x - 8 = 15 + 3x[/tex]

[tex]\qquad \tt \rightarrow \: 4x - 3x = 15 + 8[/tex]

[tex]\qquad \tt \rightarrow \: x = 23[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

x = 23

Explanation:

⇒ 5x - x - 8 = 15 + 3x

collect like terms

⇒ 5x - x - 3x = 15 + 8

add or subtract like terms

⇒ x = 23

Checking:

5(23) - 23 - 8 = 15 + 3(23)

115 - 23 - 8 = 15 + 69

84 = 84

Which inequality defines the shaded region graphed below?

Answers

Answer:

Every ordered pair within this region will satisfy the inequality y ≥ x. Incorrect. The boundary line here is y = x, and the correct region is shaded, but remember that a dotted line is used for < and >. The inequality you are graphing is y ≥ x, so the boundary line should be solid.

387 kilograms = x grams
Answer:
a. 387,000g
b. 38,700g
c. 387g
d. 3.87g

Answers

Answer:

a

Step-by-step explanation:

I kilogram is 1000 grams

Hello! Im Sezina

The answer is letter A (just multiply the given by 1,000)

50 people were asked if they speak French or German or Spanish. Of these people, 31 speak French 2 speak French, German and Spanish 4 speak French and Spanish but not German 7 speak German and Spanish 8 do not speak any of the languages all 10 people who speak German speak at least one other language How many people only speak Spanish?

Answers

The number of people that speak only spanish = 6

How to Interpret Venn Diagrams?

We are given;

Total number of people surveyed = 50

31 speak French 2 speak French, German and Spanish.

4 speak French and Spanish but not German.

7 speak German and Spanish.

8 do not speak any of the languages.

All 10 people who speak German speak at least one other language.

Thus;

From the Venn diagram;

Number of people that speak only French and German = 10 - 5 - 2 - 0 = 3

Number that speak only spanish = 50 - 22 - 3 - 2 - 4 - 5 = 6

Read more about Venn Diagrams at; https://brainly.com/question/2099071

#SPJ1

Step 4: Make a prediction with your data.
a) Using your equation from step 2d, ( y=0.14x+0.75 ) estimate the GPA of a student who studies for 15 hours a
week. Justify your answer.

Answers

Answer:

estimated gpa:  2.85

Step-by-step explanation:

Evaluate y=0.14x+0.75 at x = 15 (hours):

y = 0.14(15 hours) + 0.75

  = 2.1 + 0.75

y  =  2.85  =  estimated gpa corresponding to 15 houirs of study

Golf balls cost $0.90 each at Jerzy’s Club, which has an annual $25 membership fee. At Rick and Tom’s sporting-goods store, the price is $1.35 per ball for the same brand. Where you buy your golf balls depends on how many you wish to buy. Explain, and illustrate your reasoning with a graph.

Answers

Answer:

See attached graph.

Step-by-step explanation:

Each situation can be expressed as an equation:

Jerzy: Total Cost (y1) is the $25 membership fee plus $0.80/golf ball (x):

y1 = $25 + $0.90x

Rick and Tom's:  Total Cost (y2) is $1.25 per golf ball, x.

y2 = $1.25x

See the attached graphs of these two equations.  Jerzy's cost less after 56 balls are purchased.

please help me with this

Answers

The range of possible heights is given by the inequality:

d ≥ 300.125 m

How to find the possible heights of the building?

We know that the time that it takes for an object to fall from a distance d is:

[tex]t = \frac{\sqrt{2d} }{4.9}[/tex]

In this case, we know that t ≥ 5s.

Then we can solve for the minimum distance, which is given when t = 5s.

[tex]5 = \frac{\sqrt{2d} }{4.9}\\\\(5*4.9)^2/2 = d = 300.125[/tex]

So the minimum height of the building is 300.125 meters, then the range of possible heights is:

d ≥ 300.125 m

If you want to learn more about inequalities:

https://brainly.com/question/18881247

#SPJ1

The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her school 8 cm. The actual distance from her house to school is 12 km. If d represents the approximate distance in km between her house and her job, what is d? A. 4 km B. 9 km C. 48 km D. 16 k

Answers

The approximate distance in km between her house and her job is 9 km.

What is the approximate distance?

The map is a scale drawing of the places mentioned. A scale drawing is a smaller image of a larger place or diagram.

The scale of the map = 8cm : 12km

Distance between the house and the job = (12 x 6) / 8 = 9m

To learn more about scale drawings, please check: https://brainly.com/question/26388230

#SPJ1

What is the median of the data?

Answers

Answer:

The median is 3.

Step-by-step explanation:

Since, most of the values presented are 0-8 and median is the middle of any data set. It has to be 3.

The median is 3
Have a nice day

The line contains the point (5,0) and is parallel to the line defined by "-3x=4y"

Answers

Answer:

Step-by-step explanation:

Which two points on the number line represent numbers that can be combined to make zero?

B and D
A and B
C and D
A and C

Answers

where is the number line

Area of a sector
Find the perimeter of this sector.
Give your answer rounded to 3 SF.

Pls help

Answers

The perimeter of the sector is 96.34 m if the radius of the circle is 48 m and the measure of the central angle is 115 degrees.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have given a part of the circle.

As we know:

s = rθ

s is the arc length

r is the radius of the circle

θ is the central angle in radians

The central angle is 115 degrees which is in radians:

θ = 2.00713

s = 48×(2.00713)

s = 96.34 m

The perimeter of the sector = s = 96.34 m

Thus, the perimeter of the sector is 96.34 m if the radius of the circle is 48 m and the measure of the central angle is 115 degrees.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

I need help!!!!
True OR False
------------------------
m - 63 = 37, m = 100?

Answers

Answer:

The answer is true!!!

Step-by-step explanation:

If m=100, 100-63=37 which is true.

Answer: A) True

Detailed Solution:

m - 63 = 37
m = 63 + 37
=> m = 100

Therefore, m = 100 so this Statement is True.

the price of an mp3 player is increased by 8%to £52.92
what was the original price?

Answers

Answer:

49£

Step-by-step explanation:

the price of an mp3 player is increased by 8%to £52.92

what was the original price?

52.92 = 108%

52.92 : 108 = 0.49

0.49 * 100 = 49£

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

check

49 * 1.08 = 52.92

the answer is good

The vertex of the parabola below is at the point (2, 4), and the point (3,6) is
on the parabola. What is the equation of the parabola?
10
(3,6)
(2,4)
-10
10
-10
O A. y=2(x-2)² +4
OB. x= 4(y-3)² +1
O C. y= 6(x-2)2 +4
OD. y=3(x-4)2 +2
← PREVIOUS

Answers

The equation of the parabola is y = 2(x - 2)^2 + 4

How to determine the parabola equation?

The given parameters are:

Vertex, (h,k) = (2,4)Point (x,y) = (3,6)

A parabola is represented as:

y = a(x - h)^2 + k

Substitute (h,k) = (2,4)

y = a(x - 2)^2 + 4

Substitute (x,y) = (3,6)

6 = a(3 - 2)^2 + 4

Evaluate the difference

6 = a(1)^2 + 4

This gives

6 = a + 4

Subtract 4 from both sides

a = 2

Substitute a = 2 in y = a(x - 2)^2 + 4

y = 2(x - 2)^2 + 4

Hence, the equation of the parabola is y = 2(x - 2)^2 + 4

Read more about parabola at:

https://brainly.com/question/4061870

#SPJ1

please help this is so confusing

Answers

The answer is 24

You want to replace the x in the expression x^2-2x with 6
36-12
24
Hope this helps

Answer:

f(x)=f(6)= 6^2 - 2*6=36-12=  24

Step-by-step explanation:

This is a function, so we replace x with 6. When we do this, we use it to replace x in the above equation, so instead of having x^2-2x, we have 6^2 -2x. Then we just solve the equation, leaving us with the final solution of 24.

If side b measures 5√3, what is the length of side c?

Answers

Answer:

10

Step-by-step explanation:

cos(30) = b / c

c = b / cos(30)

c = 5xsqrt(3) / 0.866

c = 10

PLEASE HELP ILL GIVE BRAINLIEST PLEASE PLEASE PLEEEEEEEAAAAASE

Write the recursive formula for the arithmetic sequence.
A(n)=(-1)+(n-1)(-5)

Answers

The recursive formula is  [tex]a_n= a_{n-1} -5[/tex].

What is Arithmetic Progression?

A set of numbers is an arithmetic progression (AP) or an arithmetic sequence such that the difference between successive words is unchanged.

Given:

A(n)=(-1)+(n-1)(-5)

A(n) = -1 - 5n + 5

A(n) = 4-5n

n=1

A(1)= 4-5= -1

n=2,

A(2) = -6

n=3

A(3)= -11

Hence, the recursive formula is [tex]a_n= a_{n-1} -5[/tex].

Learn more about this concept here:

https://brainly.com/question/20113523

#SPJ1

Jithu is curating Christmas hampers for his neighbours.

A minimum of 6 cupcakes are to be included in a hamper box.

If he wants to pack 665 cupcakes evenly into hamper boxes, what could be the smallest number of cupcakes that can be included in one hamper box?

Answers

1 hamper box, curated by Jithu can be contained 5 cupcakes.

Calculation:

The total amount of cupcakes =665 nos.

Jithu wants to create a gift box, each of which contains 6 cupcakes.

We have to see first, whether 665 could be equally distributed or not.

Hence, 665/6= 110.84 unit

It is seen that the number is in a fraction.so, It can be said that 665 cakes cannot be equally distributed to each gift pack carrying 6 cakes.

Hence, 110*6=660 cupcakes.

∴665-660= 5 cupcakes in one box

So, it is concluded that Jithu could be prepared 110 gift boxes containing 6 cakes each & 1 box containing 5 cupcakes.

Learn more about cake-related problems:

https://brainly.com/question/25225029?referrer=searchResults

#SPJ10

the average height of 10 pupils is 140cm if a new pupil joined the group the average height of 11 pupils become 148
cm find the height of new pupils ​

Answers

Answer:

228 cm

Step-by-step explanation:

the average is calculated as

average = [tex]\frac{sum}{count}[/tex] , then

[tex]\frac{sum}{10}[/tex] = 140 ( multiply both sides by 10 to clear the fraction )

sum = 1400

let the height of new pupil be x , then

[tex]\frac{sum+x}{11}[/tex] = 148 ( multiply both sides by 11 )

sum + x = 1628 , that is

1400 + x = 1628 ( subtract 1400 from both sides )

x = 228

height of new pupil is 228 cm

Today an electronics store took
5% off the price of a computer,
and for the next two days, it will
take 5% off the previous day's
price. if the price of the
computer yesterday was
$2000.00, what will be the price
of the computer two days from
now?

Answers

Answer:

$ 1805

Step-by-step explanation:

2000 × 95%

= 1900

1900 × 95%

= 1805

Which of the following is correct for determining the length of x to the nearest tenth of a metre?
cos 42 = x/6
tan 48 = x/5
sin 48 = x/5
tan 42 =x/6

Answers

The answer is (tan 48=x/5)
Other Questions
Henry recorded the number of miles he biked each day for a week. His milles were 25,40,35, 25, 40, 60, and 75.Enter the data into the statistics calculatorWhat is the standard deviation of the milles Henry bilked to the nearest tent? the nurse knows that women and older adult are at greater risk for a fatal myocardial event. which factor is the primary contributor of this cause? what it the answer to 1 4 1/2= Solve the equation:1-2 lnx = -4~ [?]X~Round your answer to the nearest thousandth. -3 5/7 X -2 1/2I really don't understand Sonam and Wangchuk are taking part in a long jump event during their school's annual sports day. Sonam ran a few distances before taking the jump while Wangchuk jumped without running. Who will jump furthest? Justify your answer. A half-marathon is 13 miles, how many kilometers is that?26 km82.36 km20.92 km209.31 km _______ is a type of a multinational corporation that centralizes its management and other decisions in the home country.a.Multidomestic Corporationb.Multinational Corporationc.All of the aboved.Global economy I really need help on this question. Im stuck any help? Which of the sentences is grammatically correct?The number of men required is large.The number of men required are large.The number of men required has large.The number of men required have large. URGENT, please help I am so lost Gilroy, a calendar-year taxpayer, is a long-time partner in the firm of Adam and Company, which has a fiscal year ending June 30. The partnership agreement provides for Gilroy to receive 25% of the ordinary business income of the partnership. Gilroy also receives a guaranteed payment of $1,000 monthly, which is deductible by the partnership. The partnership reported ordinary business income of $88,000 for the year ended June 30, 2021, and $132,000 for the year ended June 30, 2022. How much should Gilroy report on his 2021 return as total income from the partnership How long can you use medicine after expiration date. Find the value of x. 5) A restaurant menu has 6 starters, 10 mains and 6 desserts.A customer can choose from the following mealsa starter and a main,a main and a dessert,a starter, a main and a dessert.Show that there are 480 different ways of choosing a meal at this restaurant. Given the quadrilateral below is a rhombus, solve for the length of the side of the rhombus. please help me to find the answer Y=2X 3X+4Y=22 Y=2X 3X+4Y=22 If you receive a 20% DISCOUNT off an item costing $20.00, how much money do you save? Greg started drinking when he was in junior high several years ago. It has now come to a point where he cannot gothrough his day anymore without drinking.What scenario would be the most likely result of his drinking problem? Check all that apply.O He might gain more self-confidence.O He might end up in the hospital.O He might become more popular.O He might do well in school.He might get liver disease. 5. Find the quadratic equation with root alpha and beta,given that alpha-beta=2 and alpha^2-beta^2=3.