You acquired a 34.5 foot rope and are excited to string it between the ground and up a tree to create a delivery system. You need the rope to make a 25° angle with the ground. How high up the tree do you need to place the rope? Include a sketch that shows all known information and clearly shows what you need to find . Show all work and give the answer rounded to the nearest tenth of a foot.
Answers
The height of the tree is 14.5 ft.
Step-by-step explanation:
Let the height of the tree be 't'
The angle between the ground and the rope = 25°
Length of the rope = 34.5 ft.
To find :
The height of the tree.
We can use the sine to calculate the height of the tree.
sin 25° = t/34.5
sin 25° = 0.42
sin 25° = t/34.5
0.42 = t/34.5
t = 0.42 x 34.5
t = 14.5 ft.
The height of the tree is 14.5 ft.
Related Questions
find the radius of circle j !!
Answers
Answer: 5.38
Step-by-step explanation:
a^2+b^2= c^2
4^2+ 3.6^2=c^2
16+ 12.96=c^2
28.96=c^2
Sq rt of 28.96
C= 5.38
Truncate the decimal expansion of
6
to find the best approximation.
A) 1.8 <
6
< 1.9
B) 1.80 <
6
< 1.85
C) 1.81 <
6
< 1.82
D) 1.82 <
6
< 1.83
Answers
Truncate the decimal expansion of √3.6 is 1.89.
The correct option is A.
What is decimal?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.
Given:
An expression,
decimal number √3.6.
The value of √3.6 = 1.8973.
From the given choices:
It will lie between,
1.8 < √3.6< 1.9
Therefore, 1.8 < √3.6 < 1.9.
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The complete question:
Truncate the decimal expansion of √3.6 to find the best approximation.
A)1.8 < √3.6< 1.9
B)1.80 < √3.6< 1.85
C)1.81 < √3.6< 1.82
D)1.82 < √3.6 < 1.83
Convert the angle 0 = 290° to radians.
Express your answer exactly.
0 =
radians
Answers
Answer:
[tex]\frac{290}{180}\pi[/tex]
Step-by-step explanation:
To convert from degrees to radians you multiply by [tex]\frac{\pi}{180}[/tex]
The exact value of 290° is [tex]\dfrac{290\pi }{180}[/tex] the radian.
How to convert angle from degree to radians?To convert a given angle from degrees to the radians, we will multiply by [tex]\dfrac{\pi }{180}[/tex].
The given degree measure is 290°
Its radian equivalence is
[tex]\dfrac{\pi }{180} \times 290\\ \\= \dfrac{290\pi }{180}[/tex]
Therefore the exact value of 290° is [tex]\dfrac{290\pi }{180}[/tex] the radian.
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What is the value of x and the length of segment DE?
1.5=
2x
9
+ 3
2. 10x + 15 = 9(9)
2x + 3
x=
Length of DE =
units
Intro
Done
Answers
Answer:
x = 6.6; DE = 16.6
Step-by-step explanation:
Assume the diagram is like the figure below.
1. Calculate the value of x
In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the triangle into two similar triangles.
Thus, ∆CDF ~ ∆FDE, and
[tex]\begin{array}{rcl}\dfrac{CD}{DF} &=& \dfrac{FD}{DE}\\\\\dfrac{5}{9} &=& \dfrac{9}{2x + 3}\\\\5(2x + 3) & = &81\\10x + 15 & = & 81\\10x & = & 66\\x & = & \mathbf{6.6}\\\end{array}[/tex]
2. Calculate the length of DE
DE = 2x + 3 = 2(6.6) + 3 = 13.2 + 3 = 16.2
Answer:
X= 6.6
DE= 16.2
Step-by-step explanation:
Classify the quadrilateral. Then find the value(s) of the variable(s).
Answers
Answer:
DStep-by-step explanation:
The shape we see is a kite.
The measures of the triangles must add to 180°.
27 + 90 + x = 180°
117 + x = 180°
x = 63°
3 = 63°
We can also solve for 1 and 2. 2 is a right angle so 90° and 1 is a reflection of the 27° angle on the other side, so it also is 27°.
1 = 27° 2 = 90° 3 = 63°
I'm always happy to help :)
A circle with radius of \greenD{1\,\text{cm}}1cmstart color #1fab54, 1, start text, c, m, end text, end color #1fab54 sits inside a \blueD{3\,\text{cm} \times 4\,\text{cm}}3cm×4cmstart color #11accd, 3, start text, c, m, end text, times, 4, start text, c, m, end text, end color #11accd rectangle
Answers
Answer:
[tex]8.86cm^2[/tex]
Step-by-step explanation:
Given the rectangle of 3cm by 4cm and a circle of 1 cm inside it:
The Area of the shaded portion =Area of Rectangle-Area of Circle
Area of a Rectangle=Length X Width[tex]=3 X 4 =12cm^2[/tex]
Area of the circle =[tex]\pi r^2=\pi X 1^1=3.142cm^2[/tex]
Area of the shaded portion=12-3.142
[tex]=8.86cm^2[/tex]
The area of the shaded region inside the rectangle but outside the circle is 8.86 cm².
Explanation:A circle with a radius of 1 cm sits inside a rectangle with dimensions of 3 cm by 4 cm. To solve this problem, we can use the formula to find the area of a rectangle and the area of a circle.
The area of the rectangle is calculated by multiplying its length by its width, giving us an area of 12 cm². The area of the circle can be found using the formula A = πr², where A represents the area and r represents the radius.
Plugging in the given radius of 1 cm, we find that the area of the circle is π cm², which is approximately 3.14 cm². Therefore, the area of the shaded region (the region inside the rectangle but outside the circle) is 12 cm² - 3.14 cm² = 8.86 cm².
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1 Point
The area of a rectangle with width x and length 6x is 6x2. What does the
coefficient 6 mean in terms of the problem?
O
A. The total area of the square is 6.
O
B. The length iş 6.
O
C. The length is 6 times the width.
O
D. The width is 6 times the length.
Answers
Answer:
C. The length is 6 times the width.
Step-by-step explanation:
Hope it helps you in your learning process.
Which function below will translate f(x) = x2 left 5 units and down 1 unit?
Answers
Answer:
its c. trust me
Step-by-step explanation:
The resultant function of the parent function f(x) = x², which is translate left 5 units and down 1 unit, is f(x) = (x+5)^2-1.
What is transformation of a function?Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.The given function is,
[tex]f(x) = x^2[/tex]
It has to be translated left 5 units. For this we have to add 5 units in the above function. Thus the function become,
[tex]f(x) = (x+5)^2[/tex]
Now the function is translated down 1 unit. For this we have to substract 1 units outside of the above function. Thus the function become,
[tex]f(x) = (x+5)^2-1[/tex]
Hence, the resultant function of the parent function f(x) = x², which is translate left 5 units and down 1 unit, is f(x) = (x+5)^2-1.
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This scatterplot and regression line below show the relationship between the average rent for a 111-bedroom apartment in New York and the number of years after the year 200020002000.
The fitted line has a yyy-intercept of 800800800.
What is the best interpretation of this yyy-intercept?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
On average, the rent of a 111-bedroom apartment in New York increases by 800800800 dollars each year.
(Choice B)
B
The average rent for a 111-bedroom apartment in New York is approximately 800800800 dollars.
(Choice C)
C
The model indicates that 111-bedroom apartments in New York had an average rent of approximately 800800800 dollars in 201020102010.
(Choice D)
D
The model indicates that 111-bedroom apartments in New York had an average rent of 800800800 dollars in 200020002000.
A graph plots Average rent, in dollars per month, from 0 to 1200, in increments of 100, versus Years after 2000, from 0 to 12, in increments of 2. 14 points rise diagonally in a single file cluster between (0, 800) and (12, 1290). A regression line rises diagonally through the center of the cluster from (0, 800) to (12.5, 1300). All values estimated.
Answers
Answer:
D The model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.
Step-by-step explanation:
The y-axis of the graph represents the year 2000. The value on that axis represents the rent for a 1-bedroom apartment. So, the y-intercept of 800 means ...
1-bedroom apartments in New York had an average rent of 800 dollars in 2000
The best interpretation of this y-intercept is the model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.
What is y-intercept of a function?The intersection of the graph of the function with the y-axis gives y-intercept of that function.
The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Thus, y-intercept of y = f(x) is y = f(0)
In this case, x be the number of years after the year 2000.
Then we can show that x = 0, represents the year 2000 itself.
Now, the y-intercept is the value of y when we have x = 0.
So, the y-intercept gives information about the average price of a 1-bedroom apartment in the year 2000.
The information that we can conclude with this is the model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.
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Please help me!
A giant water lily pad is shaped like a circle with a diameter of up to 9 feet. Find the circumference and area of the pad. Use 3.14 for π. Round to the nearest tenth. Drag and drop the numbers into the boxes to show the circumference and area of the pad.
(fill in the blanks)
The circumference of the lily pad is about [ ] ft.
The area of the lily pad is about [ ] ft^2.
(options for both: 14.1, 63.6, 254.3, 28.3)
Answers
Answer:
Circumference of the lily pad is about 28.3 ft
Area of the lily pad is about 63.6 ft²
Step-by-step explanation:
Formula for circumference of circle is,
Circumference = 2 π r
Given that diameter is 9 ft. Therefore radius is half of diameter.
[tex]r=\dfrac{d}{2}[/tex]
Substituting the values,
[tex]r=\dfrac{9}{2}=4.5[/tex]
Also value of π = 3.14
Substituting the value,
C = 2 × 3.14 × 4.5
Simplifying,
C = 28.26 ft
Rounding to nearest tenth value of circumference is C = 28.3 ft.
Formula for area of circle is,
A = π r²
Substituting the values,
A = 3.14 × 4.5²
Simplifying,
A = 63.585 ft².
Rounding to nearest tenth value of area is A = 63.6 ft².
Correct or Incorrect?
Ishaan thinks the distance between Island A and Island
Bis 7 miles.
Is he correct?
Why or why not
Yes
No
Answers
If the equal sides of an isosceles right triangle measure 12 units then the measure of the hypotenuse is
Answers
Answer:
16.97056275
Step-by-step explanation:
12 squared + 12 squared = 288
square root of 288 = 16.97056275
The measure of the hypotenuse of an isosceles triangle with equal sides measureing 12 units is 16.97 units
What is an isosceles triangle?An isosceles triangle is a triangle that has two of its sides equal to each other . The base angle is also equal to each other.
The isosceles triangle is a right triangle. Since, one of the leg is 12 units, the other leg is also 12 units.
Using pythagora's theorem,
c² = a² + b²
c = √12² + 12²
c = √144 + 144
c = √288
c = 16.9705627485
c = 16.97 units
Therefore, the length of the hypotenuse is 16.97 units.
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The data below shows the scores of some students on a test:
28, 30, 22, 20, 24, 23, 32
Which box plot represents the data?
A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 32. Above the line is written Student Scores. Correct Answer
A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 35. Above the line is written Student Scores.
A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 26 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 30. Above the line is written Student Scores.
A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 25. The whiskers end at 20 and 32. Above the line is written Student Scores.
Answers
A. A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 32. Above the line is written Student Scores.
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Selena spends $53.94 to buy a necklace and a bracelet set for each of her friends. Each necklace cost 9.99, and each bracelet costs 7.99. How many necklace and bracelet sets, s, did selena buy?
Answers
Answer:
3 sets
Step-by-step explanation:
each set is 17.98 (adding necklace and bracelet)
Total is 53.94
dividing 53.94 (amount spent) by 17.98 (cost of set)
Results in 3 sets
Answer:
She bought 3 necklace and bracelet sets
If i can be brainliest that would be great
Step-by-step explanation:
Each set contains a necklace and a bracelet
∵ Each necklace cost $9.99
∵ Each bracelet cost $7.99
∴ The cost of one set = (9.99 + 7.99)
∵ She spent on them $53.94
- Add the cost of a necklace and the cost of a bracelet and
multiply the sum by x and then equate the product by 53.94
∴ (9.99 + 7.99)x = 53.94
∴ 17.98 x = 53.94
- Divide both sides by 17.98
∴ x = 3
Which set of line segments could create a right triangle? (4 points)
Answers
Answer:
The answer is 18, 24, and 30. because there is a special triangle triple (it only works on right triangles.) it is the ration 3:4:5. If you multiply 6 to all of them you get 18:24:30 which is your answer.
Step-by-step explanation:
because there is a special triangle triple (it only works on right triangles.) it is the ration 3:4:5. If you multiply 6 to all of them you get 18:24:30 which is your answer.
:)
whats the theoretical probability of rolling a 5 on a normal dice?
Answers
Answer:
1/6
Step-by-step explanation:
A "normal" dice is considered to have 6 sides
6 numbers
10/36 = (27.778%)
Hope this helps you !!!!!
Have a nice day/night
In the diagram below, P is circumscribed about quadrilateral ABCD. What is the value of x?
Answers
Answer:
60°
Step-by-step explanation:
In a circumscribed quadrilateral, opposite angles are supplementary.
x° = 180° -120°
x° = 60°
_____
Derivation of the relationship
Arcs BAD and BCD have a sum of 360°. Arc BAD is twice the measure of angle BCD. Likewise, arc BCD is twice the measure of angle BAD. So, we have ...
2∠BCD +2∠BAD = 360°
∠BCD +∠BAD = 180° . . . . . . divide by 2. This is the relation we used above.
7. A box contains fifteen billiards balls, numbered 1 through 15. Anna draws a ball, records the number, and then returns it to the box. Then Vicki draws a ball. Find the probability of getting a 9 then a 3. *
Answers
The probability of first drawing a ball numbered 9 and then drawing a ball numbered 3, with each ball being returned to the box between draws, is 1 in 225.
Explanation:The question is about calculating the probability of two specific events occurring consecutively when drawing billiard balls from a box that contains numbers 1 through 15. We focus on the probability of first drawing a ball numbered 9 and then, after returning it, drawing a ball numbered 3. Since each ball is returned to the box before the next draw, the number of possible outcomes does not change between draws.
For the first draw, the probability of drawing a 9 is 1 out of 15 (since there is one '9' ball and 15 total balls). When the 9 ball is returned, the probability of drawing a 3 on the second draw is also 1 out of 15. Because these two events are independent (the outcome of the second draw does not depend on the outcome of the first), we multiply the probabilities of each event to find the overall probability of both events occurring:
Probability of drawing a 9 and then a 3 = (1/15) * (1/15) = 1/225.
This means there is a 1 in 225 chance of drawing a 9 followed by a 3 when both balls are returned to the box in between draws.
Which of these are mathematical sentences? Check all that apply.
O
A. b + 41 = 93
OB. + 23
OC. 93
O D. 7y= 49
Answers
Answer:
A, D
Step-by-step explanation:
A is a completed statement and b can be solved.
B is an incomplete statement.
C is just a number.
D is a completed statement and y can be solved.
North Carolina: 79.6 years
Oregon: 82 years
District Of Columbia: 77.9 years
Nevada: 81.3 years
New York: 82.5 years
Colorado: 80.9 years
Alaska: 74.9 years
Connecticut: 82.7 years
Montana: 74.1 years
Mississippi: 74.2 years
please answer all questions to the best of your ability!!
will rate brainliest!!
thank you so much
Answers
Answer:
See below
Step-by-step explanation:
Think: They want us to make a box-o-gram (histogram and box-whisker-plot combo).
Identify: They gave us the information we need and we know that health care varies in each state, so that affects the life longevity and also different imcomes affect the care people resceive. We will make the box-o-gram after ordering the data appropriately.
Do: After ordering the numbers from least to greatest, we make calculations for the medians and mean. Here are the answers:
Least: 75 (Need to round up for this)
Greatest: 83 (Need to round up)
Q1: 90.2 (Got this by adding the two numbers of the upper half of data and dividing by 2)
Median/mean: 80.2 (Average of the data)
Q3: 85 (Rounded. Got this by adding the two numbers of the middle half of data and dividing by 2)
Answer:
A: 75
B: 80.2
C: 90.2
D: 85
E: 83
Yes, this makes sense since the data on the box-o-gram fall within the data given in the chart at the top of the worksheet.
A woman put $580 into a savings account. she used 25% of that amount to take a trip . How much money was used to take the trip?
Answers
Answer:
145 dollars
Step-by-step explanation:
Answer: 145
Step-by-step explanation:
bruh literally 580 times 25% on a calc
Which of the following is true of functions and their inverses?
The inverse of a quadratic function is not a function.
The inverse of a quadratic function is always a function.
The inverse of a linear function is not a function.
The inverse of a linear function is always a function.
Answers
The inverse of a quadratic function is not always a function, as it can assign multiple outputs to a single input. Conversely, the inverse of a linear function is always a function because it strictly assigns one output to each input.
Explanation:The presented statements about the nature of functions and their inverses are particularly related to the definition of a function. A function is a rule which assigns to each input exactly one output. Considering this, the inverse of a quadratic function is not always a function because it can assign multiple outputs (y-values) to a single input (x-value). This is why the graph of a quadratic function doesn't pass the 'horizontal line test', which is a criterion for a graph to represent a function.
On the other hand, the inverse of a linear function is indeed always a function. Because a linear function always assigns exactly one output to each input, its inverse will also satisfy the definition of a function.
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is 3 yards greater than 36 inches ?
Answers
Answer:
No, it is the same amout
Step-by-step explanation:
there are 12 inches is 1 foot. 12*3 is 36
Answer: Yes it is.
Step-by-step explanation:
3 yards = 3 x 3 x 12 = 108 inches which is greater than 36 inches.
Could anyone help me with this? I will mark you as brainliest
Answers
Answer:
the right answer is number 7
Answer:
= 7
Step-by-step explanation:
[tex] \frac{ {7}^{8} \times {7}^{3} \times {7}^{4} }{ {7}^{9} \times {7}^{5} } \\ = \frac{ {7}^{8 + 3 + 4} }{ {7}^{9 + 5} } \\ = \frac{ {7}^{15} }{ {7}^{14} } \\ = {7}^{15 - 14} \\ = 7[/tex]
Solve the inequality.
y − 3 ≥ −5
Answers
Answer:
y≥−2
Step-by-step explanation:
Answer:
y _> -2
Step-by-step explanation:
you add 3 to both sides which leaves you with -2
The graph below shows the function f (x) = StartFraction 5 x + 10 Over x squared + 7 x + 10 EndFraction.
On a coordinate plane, a hyperbola is shown. Both curves approach x = negative 5. There is a hole at x = negative 2.
Where is the removable discontinuity of f(x) located?
x = –5
x = 0
x = –2
x = 5
Answers
Answer:
The removable discontinuity of f(x) would be located at C: x = –2.
Also, the image linked below has the graph that is associated with this question. The original poster forgot to add that so if you needed to make sure this is the right question, there you go.
Gracie can do a 4-foot long jump. How many jumps will she have to do in order to jump a total of 8 yards?
Pls help will give BRAINLIEST!!!
Answers
Answer
I think it would be 8 jumps, might not be correct though.
Step-by-step explanation:
1 yard = 3 foot
There is already 3 foot inside of 4 foot so you just keep adding until you hit 8 yards.
The eastward translation of the rose garden is along which axis? What integer represents a change of two yards east?
Answers
Answer:
a) + x direction, b) [tex]+2\,yd[/tex].
Step-by-step explanation:
a) According to the Cartesian plane, an eastward translation implies a movement in the +x direction.
b) [tex]+2\,yd[/tex]
Coordinate geometry involves the use of a plane to represent positions.
The axis of the eastward translation is the x-axisTwo yards east can be represented using the integer 2 or +2.On a coordinate geometry, eastward translation is represented by the horizontal (or x-axis).
Hence, the axis of the eastward translation is the x-axis
A change of two yards east:
The axis of the eastward translation is the x-axis
And it is along the positive x-axis
Hence, two yards east can be represented using the integer 2 or +2.
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1/2x -2 =3 solve plZ
Answers
Answer:
x = 10
Step-by-step explanation:
1/2 x - 2 = 3
1/2 x = 3 + 2
1/2 x = 5
x = 5 / (1/2)
x = 10
HELP ASAP ROCKY!!!!!!
What is the median of the data in this stem-and-leaf plot? 31.0 31.5 32.0 32.5 Untitled Stem and leaf plot. Vertical line separates each stem number from its first leaf number. First row. Stem 2. Leaves 6, 7, 7. Second row. Stem 3. Leaves 0, 2, 3, 3, 4. Third row. Stem 4. Leaves 0, 5. Key. 3 vertical line 0 means 30.
Answers
Answer:
32.5
Step-by-step explanation:
there are 4 rows
1 = 3
2 = 5
3 = 2
so there is 10 numbers
We go for the middle number which is 2-3 so the answer must be 32.5.
We know it is between 2-3 as the same as 1-10
1,2,3,4,5, ------ 6,7,8,9,10
So the imput numbers are listed 2 + 3 in your stem diagram where so 5 + 6 would be in the explanation. As 10 +1 = 11 then 11/2 = 5.5 - this means 5.5 = 32.5 as 33 would be the 6.
Answer:
32.5
Step-by-step explanation:
I took the test c: