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 the given functions.

A table with values of x and f of x is given along with a non-linear equation g of x equals 2 power x minus 5 and a graph solving the equation

Select the true statement regarding the end behavior of the functions.

Answers

Using limits, it is found that the true statement regarding the end behavior of the function is given by:

B. As the value of x increases, f is the only function to approach 0.

How to find the end behavior of a function?

The end behavior of a function is given by the limit of the function as x goes to infinity.

In this problem, we have that:

[tex]\lim_{x \rightarrow \infty} f(x) = 0[/tex], as we can see from the table, when x increases, y decreases. [tex]\lim_{x \rightarrow \infty} g(x) = 2^{\infty} = \infty[/tex].[tex]\lim_{x \rightarrow \infty} h(x) = \infty[/tex], from the graph.

Hence statement B is correct.

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There are 7 pieces of pie over in the cafeteria. If 5 pieces are apple and 2 are cherry, what fraction of the remaining pieces are cherry?

Answers

Answer:

No

Step-by-step explanation

because 5+2=7 so I don't have a piece of cake left over

What is 9 squared?
Why?
Why do we call this "Squared"?
What is 5 cubed?
Why?
Why do we call this "Cubed"?

Answers

Answer:

The squared root of 9 is 3

Why - Half of 9 is 3

Why do we called this squared - It is the positive solution of the equation x2 = 9. The number 9 is a perfect square.

5 Cubed is equal to 125

Why - The number 125 on prime factorization gives 5 × 5 × 5. On combining the prime factors in groups of 3 gives 5

Why do we call this cubed = The cube of a number is that number times itself times itself. 5 cubed, denoted 53, is equal to 5×5×5, or 125.

A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estimated probability that three out of four randomly chosen teenagers do not prefer watching a movie at a theater. How could you design a simulation for this situation?

Answers

Answer:

7m tall convert this into imperial measurement

Which inequality is shown on this graph?

Answers

The inequality which shows the graph is [tex]y\le\ 4x+2[/tex].

What is inequality?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

As, from the inequalities the graph is representing the fourth inequality.

The graph attached below show the graph corresponding to  

[tex]y\le\ 4x+2[/tex] is shown.

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1. Kelsey spent 55 hours over 2 weeks working on a ELA project. She worked 32 hours the

Answers

Answer:

23

Step-by-step explanation:

If Kelsey spent 32 hours in the first week. We subtract 32 from 55. 55-32=23. That means she worked 23 hours in the second week.

6. Solve for x: please explain

Answers

Answer:

5

Step-by-step explanation:

the angles need to add up to 180

60 + 40 =100

180 - 100 =80

80 - 5 =75

75/15 =5

20 points!!
Flynn is playing with a toy that is tied to his hand by a string. The toy falls toward the floor then rises back toward Flynn's hand, and repeats this motion, following the path illustrated by given graph.

Answers

The function is h(t) =  7/4 cos π/3 t + 9/4,

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

As, h(t) =  x cos π/3 t +y

when t= 0, h(t) = 4

when t= 3, h(t) = 0.5

So,

x cos π/3 *0 +y=4

x cos π/3 *3 +y=0.5

and, x+ y = 4,   -x+ y =0.5

Now,

2y= 4.5

y= 9/4

and, x= 4-9/4= 7/4.

Hence, h(t) =  7/4 cos π/3 t + 9/4

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Answer:got it right

h(t)=1.75, cos(1/3), + 2.25

Step-by-step explanation:

What is true about △ABC? Select three options

AB ⊥ AC

The triangle is a right triangle.

The triangle is an isosceles triangle.

The triangle is an equilateral triangle.

BC ∥ AC

Answers

Answer: Isosceles triangle

Step-by-step explanation: Two of the base sides are equal distance away. (Sides AB and AC)

What are all the solutions of x² + 3x -4 = 0? Multiple choice


A: -4
B:-2
C:-1
D:0
E:1
F:2
G:4

Answers

Answer :

A and E .

Step-by-step explanation:

-4 and 1 because (x+4)(x-1)=0 is the same as x^2 + 3x - 4 when multiplied. when each term [x + 4, x - 1] is set to zero, using the zero product principle, we get x = -4 or x = 1

can someone please help mee i need the exact answer(30 points will give brainliest!!!)

Answers

Answers:

Domain:  [tex]\boldsymbol{(-\infty, \infty)}[/tex]

Range:  [tex]\boldsymbol{(-\infty, \infty)}[/tex]

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

Explanation:

domain = set of all possible x inputs

range = set of all possible y outputs

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

In this case, the domain is the set of all real numbers because the graph stretches forever to the left and right. There aren't any gaps, holes, jumps, etc to worry about. Any real number works as an input.

We can say x is between [tex]-\infty[/tex] and [tex]\infty[/tex] and write [tex]-\infty < x < \infty[/tex]

That turns into the interval notation [tex](-\infty, \infty)[/tex]

The curved parenthesis are always used with either infinity because we cannot reach them.

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

The range is the same story, but with the y values this time. The graph stretches forever upward and downward due to the arrow.

If it peaked at y = 4, then the range would be [tex](-\infty, 4][/tex], but instead the graph goes beyond y = 4 because of that upward arrow.

Help with math work

Answers

Answers for different section are given below;

What is Function?

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, given function;

   f(x) = -x² - 4x + 6

1.    If we take -1 common from the given function, we get

                      f(x) = -1 (x² + 4x - 6)

                      f(x) = -1 (x² + 4x) + 6

      Thus, first block contains -1 and second block contains 4.

     

2.   Then we add half of the coefficient of x², (b/2)², inside the bracket and subtract it outside a times, a(b/2)².

                 f(x) = -1 ( x² + 2. 2x + 2²) +2² + 6

                 f(x) = -1 ( x² + 4x + 2²) +4 + 6

Thus, first block contains -1, second block contains 4, third block contains 4, and fourth block contains 4.

3. Then we factorize the bracket and simplify outside the bracket;

                 f(x) = -1 (x + 2)² + 10

Thus, first block contains -1, second block contains 2 and third block contains 10.

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What number is the opposite of -2?
O A. ¹/2
O B. -¹/2
5
O C. - 13/
OD. /
12

Answers

Answer: 2

Step-by-step explanation:

The opposite of a negative number is the corresponding positive number.

Round to the nearest tenth. B 63 142° 61 A C X x = [?]

Answers

The value of x in the triangle is 117.2 units

The missing image is attached with the answer.

What is an Equation?

An equation is formed when two expression is equated by an equal sign to a constant , variable or an expression.

Cosine rule of Triangles is used and is given by

c² = a² + b² - 2ab cos C

Where a, b, c are the sides and C is the angle opposite side c.

from the given data in the figure

c = 63

a = 61 and

angle B is 142 degree

x² = 63² + 61² - 2(63)(61) * cos(142)

On solving

x = 117.2

The value of x in the triangle is 117.2 units

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Marcy and her sister watched a cartoon movie that was 2 hours and 18 minutes long. after the movie, they played a card game for 34 minutes and then played soccer for 1 hour and 12 minutes. when they came in from playing soccer, it was 5:28 p.m. what time did marcy and her sister start watching the movie?

Answers

Answer:

1:24pm

Step-by-step explanation:

Couple of ways to solve this. Here is one method
Convert all times to minutes and find the total number of minutes they spent on all 3 activities. Then convert to hours and minutes and subtract from the end time of 5;28 to get the start time of all activities which is also the start time of watching the movie (first activity)

So time spent:

Movie: 2 hours 18 minutes = 2 * 60 + 18 = 120 + 18 = 138 minutes
Card game: 34 minutes
Soccer: 1 hour 12 minutes = 1 * 60 + 12 = 72 minutes

Total time spent = 138 + 34 + 72 = 244 minutes = 4 hours and 04 minutes

Subtract 4:04 from 5:28 to get 1:24pm

Check
Movie watch starts at 4:04, ends at 1:24 + 2:18 or 3:42pm
Card game starts at 3:42pm ends at 3:42+0:34 ==> 4:16pm
Soccer starts at 4:16pm ends at 4:16pm + 1:12 ==> 5;28pm

tan A + sin A/tan A-sin A
= sec A +1/sec A-1

Answers

We need to prove

[tex]\frac{\tan A+\sin A}{\tan A-\sin A}=\frac{\sec A+1}{\sec A-1}[/tex]

[tex]\text{LHS}=\frac{\tan A+\sin A}{\tan A-\sin A}\\\\=\frac{\frac{\sin A}{\cos A}+\sin A}{\frac{\sin A}{\cos A}-\sin A}\\\\=\frac{\sin A+\sin A \cos A}{\sin A-\sin A \cos A}\\\\=\frac{\sin A(1+\cos A)}{\sin A(1-\cos A)}\\\\=\frac{1+\cos A}{1-\cos A}\\\\=\frac{1+\frac{1}{\sec A}}{1-\frac{1}{\sec A}}\\\\=\frac{\sec A+1}{\sec A-1}\\\\ =\text{RHS}[/tex]

Evaluate.

{3−[−4−(6+2)]}⋅(−5)

A−75

B−57

C−15

D−9

Answers

Step-by-step explanation:

please mark me as brainlest

Answer: A) 75

Step-by-Step Explanation:

= {3 - [-4 -(6 + 2)]}(-5)
= {3 - [-4 -(8)]}(-5)
= {3 - [-4 -8]}(-5)
= {3 - [-12]}(5)
= {3 + 12}(5)
= 15(5)
= 15 * 5
=> 75

Expression -2(x + 4)
Sentence
Symbol
operation​

Answers

Answer:

c

Step-by-step explanation:

An object is attached to a spring that is stretched and released. The equation d= -8COS(pi/6 t) models the distance, d, of the object in inches above or below the rest position as a function of time, t, in seconds. Approximately when will the object be 6 inches above the rest position? Round to the nearest hundredth, if necessary.
0 seconds
1.38 seconds
4.62 seconds
8 seconds

Answers

The time when the object will be 6 inches above the rest position is C. 4.62 seconds.

How to depict the information?

From the information, the object is attached to a spring and is stretched and released.

The given model is given as:

d = -8 cos (π/6t)

In this case, it's important to plot the graph based on the model given. Therefore, the time when the object will be 6 inches above the rest position is 4.62 seconds.

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What is the formula for capacity of a prism?

Answers

Answer:

The prism volume formula is B*h B (area of one end) =0.5*1000*566 = 283,000 mm 2 (area of a triangle) H (length/height of prism) = 1000 mm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Any prism volume is equal to the area of the base (B) multiplied by the height of prism (H)  

V = BH

Now, to find the area of the base you need this formula : B = 1/2 h(b1+b2), then multiply by the height of the prism.

PLEASE HELP ME WITH THIS ASAP

Answers

Answer:

4 rows

Step-by-step explanation:

First set:

unknown rows, 5 tiles each

meaning old total is divisible by 5

Second set:

3 additional rows, 3 tiles each

meaning that the new total is divisible by 3

so, our total number of tiles is divisible by 5, add 1 and it is divisible by 3 when added 1

{another way I solved it : [and when it is divided by 3, it has 8 that fit into the original pattern; which is another way of knowing that each of the rows of 5 [each have 2 removed when turned into rows of 3] add up to having a remainder of 8 tiles; 8 / 2 = 4; so there were four rows in the original pattern contributing to the change--there were four rows] }

x is divisible by 5, x + 1 is divisible by 3

essentially, we are looking for a number that ends in 5 or 0, and the next number [ending in 6 or 1] is divisible by 3

I know that 5 goes into 20, and that 21 is divisible by 3, so let's test it out:

4 (rows of 5) turns into 7 [4 + 3] rows of 3

because 21 can be split into 7 rows, this number of tiles is possible

so, in the original pattern, there must have been 4 rows

hope this helps!! {so sorry if this confuses you, please let me know if I should explain my reasoning further}

have a lovely day :)

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Answers

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. So the correct answer is option B.

What is inequality?

inequality the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

We can start by dividing the inequality by 3 to get ...

 8 -4x < 2(x -5)

And we can divide by 2 to simplify further to ...

 4 -2x < x -5

Now, we can add 2x+5, which gives ...

 9 < 3x

and then divide by 3 again:

 3 < x

Therefore number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. So the correct answer is option B.

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Find each difference.
(-6s² + 12s-8) - (3s² +8s - 6) =
O-9s² + 4s-14
O-9s² + 4s-2
O-9s² + 20s - 14
O-9s² +20s-2
DONE ✔

Answers

Answer: [tex]-9s^2 + 4s-2[/tex]

Step-by-step explanation:

[tex](-6s^2 +12s-8)-(3s^2 + 8s-6)\\\\=-6s^2 + 12s-8-3s^2 - 8s+6\\\\=\boxed{-9s^2 +4s-2}[/tex]

A gym has 65 members. If 35 are men and the
rest are women, what is the ratio of the female
members to the total members of the gym?

Answers

Answer:

Step-by-step explanation:

số nữ là 65- 35= 30

vậy tỷ lệ số tv nữ trên tổng số thành viên của phòng tập là 30/65 = 6/13

What statement is true for f(x) = 3.2^x?

Answers

Answer:

Step-by-step explanation:

Is the following relation a function?

Answers

Answer: Yes.

Step-by-step explanation: No number in the map is paired to two different, distinct numbers.

Yea it is!!!!!!!!!!!!!!!!!!!!!!

Which of the following is an example of why irrational numbers are not closed under addition?
√4+√4=2+2=4,
and 4 is not irrational
1/2+1/2=1, and 1 is not irrational
√10+(-√10) = 0, and 0 is not irrational
-3 +3 = 0, and 0 is not irrational

Answers

Answer:

√10 + (-√10) = 0, and 0 is not irrational

^ this one

Nick wants to save up enough money to go to Carowinds for the day with a group of his friends. He already has $50 saved up and plans to save $10 each week. Write an expression that represents the total amount Nick will have depending on the number of weeks (w) he saves for.

Answers

Answer:

a=10w +50

Step-by-step explanation:

a= amount

w= weeks

please vote brainliest

8y and y are like terms

true
or
false

Answers

Answer:

True

Step-by-step explanation:

Hope this helps :)

Answer: True
have a great day

Which two numbers does √√61 lie between on a number line? O 7.7 and 7.8 O 7.8 and 7.9 O 7.9 and 8.0 Stm O 8.0 and Which two numbers does √√61 lie between on a number line ? O 7.7 and 7.8 O 7.8 and 7.9 O 7.9 and 8.0 Stm O 8.0 and 8.1​

Answers

Answer:

B) 7.8 and 7.9

Step-by-step explanation:

Taking the square root of 61, we can conclude that the decimal form is 7.810, which falls between the range of 7.8 and 7.9

Answer:

√61 lie between 7.8 and 7.9

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