De acuerdo con la información, podemos inferir que la altura del poste es de aproximadamente 5.84 m. La cuerda atada al ancla a 12 m del pie del poste tiene una longitud de aproximadamente 13.53 m, mientras que la cuerda atada al ancla a 8 m de pie del poste tiene una longitud de aproximadamente 10.22 m.
¿Cómo hallar la altura del poste y la longitud de las cuerdas?Para resolver este problema, podemos utilizar las propiedades trigonométricas del triángulo formado por el poste y las cuerdas. En primer lugar, para encontrar la altura del poste, podemos usar la tangente del ángulo de elevación. Sea h la altura del poste, entonces:
tangent(50 grados) = h / 12h = 12 * tangent(50 grados)h ≈ 12 * 1.1918h ≈ 14.30 mPor otra parte, para encontrar la longitud de la cuerda atada al ancla a 12 m del pie del poste, podemos usar el teorema de Pitágoras en el triángulo rectángulo formado por la cuerda, la altura del poste y la distancia al ancla. Sea c la longitud de la cuerda, entonces:
c² = h² + 12²c² = 14.30² + 12²c² ≈ 204.49 + 144c² ≈ 348.49c ≈ √348.49c ≈ 18.66 mPara encontrar la longitud de la cuerda atada al ancla a 8 m del pie del poste, podemos repetir el mismo proceso. Sea d la longitud de la cuerda, entonces:
d² = h² + 8²d² = 14.30² + 8²d² ≈ 204.49 + 64d² ≈ 268.49d ≈ √268.49d ≈ 16.38 mEn resumen, la altura del poste es de aproximadamente 5.84 m, la cuerda atada al ancla a 12 m del pie del poste tiene una longitud de aproximadamente 13.53 m, y la cuerda atada al ancla a 8 m del pie del poste tiene una longitud de aproximadamente 10.22 m.
English Version:
Based on the information, we can infer that the height of the pole is approximately 5.84 m. The rope attached to the anchor 12 m from the foot of the pole has a length of approximately 13.53 m, while the rope attached to the anchor 8 m from the foot of the pole has a length of approximately 10.22 m.
How to find the height of the pole and the length of the strings?To solve this problem, we can use the trigonometric properties of the triangle formed by the pole and the ropes. First, to find the height of the pole, we can use the tangent of the angle of elevation. Let h be the height of the pole, then:
tangent(50 degrees) = h / 12h = 12 * tangent(50 degrees)h ≈ 12 * 1.1918h ≈ 14.30 mOn the other hand, to find the length of the rope attached to the anchor 12 m from the foot of the pole, we can use the Pythagorean theorem on the right triangle formed by the rope, the height of the pole, and the distance to the anchor. Let c be the length of the chord, then:
c² = h² + 12²c² = 14.30² + 12²c² ≈ 204.49 + 144c² ≈ 348.49c ≈ √348.49c ≈ 18.66mTo find the length of the rope attached to the anchor 8 m from the foot of the post, we can repeat the same process. Let d be the length of the string, then:
d² = h² + 8²d² = 14.30² + 8²d² ≈ 204.49 + 64d² ≈ 268.49d ≈ √268.49d ≈ 16.38mTo summarize, the height of the pole is approximately 5.84 m, the rope attached to the anchor 12 m from the foot of the pole has a length of approximately 13.53 m, and the rope attached to the anchor 8 m from the foot of the pole has a length of approximately 10.22 m.
Note: This question is incomplete. Here it is complete:
In a circus tent, a pole is anchored by a pair of ropes, one is attached to an anchor that is 12 m from the foot of the pole and the other anchor is 8 m from the foot of the pole, under an angle of elevation. 50 degrees, 20 and 15 degrees. Find the height of the post and the measurements of the strings.
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In how many ways can one write the numbers 1, 2, 3, 4, 5, and 6 in a row so that given any number in the row, all of its divisors (not including itself) appear to its left
Answer: 25 ways.
Step-by-step explanation:
first we have 1,2,6. this can appear once.
4, can appear in twice.
3 can appear in-between 2 and 6, this means 3 can appear 3times before 6.5 would appear 5 times.after 6 3 can appear 2 more times.\(= (3+2) * 5\\= 5*5\\= 25ways\)
by not including itself, an appearing on the left side. one number can be written 25ways
A time of 10.4 seconds is given to the nearest 0.1 of a second complete the error interval
The result for the error interval has already been rounded to the nearest integer, which is 4.8.
Define the term error interval?The accuracy thresholds that apply that whenever a number has now been rounded or shortened are known as error intervals. In other words, they represent the range of values which a number may have taken had it not been rounded off or truncated.The numbers 10.3 and 10.5 are below and above, respectively (to 1 decimal place)
For the lower bound, we need to look halfway between 10.3 and 10.4 and for the upper bound, we need to look halfway between 10.4 and 10.5.
For the number to be rounded to 10.4 with one decimal point, it has to be between 10.35 and 10.45.
An inequality can be used to describe this.
We use the or equal symbol because 10.35 should round to 10.4.We simply utilize the less than sign because 10.45 would just not round to 10.5.10.35 ≤ x < 10.45
Thus, the error interval with the lower bound and upper bound are: 10.35 ≤ x < 10.45.
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solve for X 5x(x+3)=x(5x-3)+36
Answer:
x=2
Step-by-step explanation:
5x(x+3)=x(5x-3)+36
5x^2+15x=5x^2-3x+36
-18x+36=0
36=18x
x=2
write any two refinement of partition {1,1.2,1.3,1.4,1.5,2} of [1,2]
The two possible partition refinement of the partition {1, 1.2, 1.3, 1.4, 1.5, 2} of [1, 2] includes:
1. {1, 1.1, 1.2, 1.25, 1.3, 1.35, 1.4, 1.45, 1.5, 1.75, 2}
2. {1, 1.1, 1.3, 1.5, 1.6, 1.7, 1.8, 1.9, 2}
What are refinements of partition?When algorithms are designed, partition refinement is described as a technique for representing a partition of a set as a data structure that allows the partition to be refined by splitting its sets into a larger number of smaller sets.
The first refinement breaks up the larger subintervals of the original partition into smaller subintervals of equal length.
The second refinement groups together some of the subintervals from the original partition to form larger subintervals that are not necessarily of equal length.
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One acute angle of a right triangle measures 35°. What is the measure of the other acute angle? ·
Answer:
55
Step-by-step explanation:
A right triangle always has one angle which is equal to 90 degrees. You have been given the second angle which is 35 degrees hence to get the second acute angle you do:
180 - (90+35)
= 55
Answer:
we have,,
the traingle having one actue angle is 35degree
i.e angle ACB be 35degree, AND
another one angle ABCis 90degree
Also, let angle Bac be x
now,,
x+35+90=180(being the sum of traingle)
or,x=180-125
or,x=55
therefore, the value i.e angle BAC be 55 degree.
1/2 x 2/3 =
plesae help me
Answer:
1/3
Step-by-step explanation:
40 points!!! Triangle ABC is transformed to create Triangle A’B’C’, what type of rigid transformation is this?
Answer:
Reflection
Explanation:
This is a reflection because A B and C and A' B' C' are at the same points in their quadrants. A' B' C' is flipped over the X-Axis
Answer:
reflection about the x -axis
Step-by-step explanation:
Mirror line is the x-axis for this translation
Assessment Practice
9. The base of the prism shown is an isosceles triangle.
What is the surface area, in square centimeters, of this prism?
The surface area, in square centimeters, of this prism is 1301 cm²
How to determine the surface areaA triangular pyramid has 3 rectangular sides and 2 triangular sides.
Now, we are told that the triangular side is isosceles.
This means that two of the rectangular sides which share a side with the equal side of the triangle are equal as well as the 2 triangular sides.
Surface area of prism = 2(area of triangular face) + 2(area of rectangle sharing one side with the equal side of the triangle) + (area of rectangle sharing side with the unequal side of the triangle).
Area of triangle = ½ × base × height
Area of triangle = ½ × 9 × 13 = 58.5 cm²
Since height of prism is 32 cm, then;
Area of rectangle sharing one side with the equal side of the triangle = 32 × 14 = 448 cm²
Area of rectangle sharing side with the unequal side of the triangle = 32 × 9 = 288 cm²
Thus;
Surface area of prism = 2(58.5) + 2(448) + 288
expand the bracket and add the values, we get;
Surface area of prism = 1301 cm²
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Please help!
Task is simplify expressions.
This is direct image from teacher.
Which of the triangles are right triangles?
Step-by-step explanation:
1 is a right triangle I know this because a right triangle is a triangle which one of the angles is a 90 degree angle
Answer:
Triangles 1,2,3, and 4 are all right triangles
Complete the statement with <, >, or =.
7/8 ___ 1
Answer:
7/8 < 1
Step-by-step explanation:
1 is larger than 7/8 so thats why it is 7/8 < 1
I hope it helps! Have a great day!
Lilac~
The correct statement is 7/8<1
What is an inequality?An inequality is an inequation separated by <,>, ≥, ≤. The relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.
Given here 7/8 which is equal to 0.875 thus which is less than 1 and thus we can construct the inequality 7/8<1
Hence, the correct statement is 7/8<1
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what is the rate and unit rate for 115 miles on 9 gallons of gas
Answer:
the actual answer is 12.7777777778 but you can break it down to about 12.8
Step-by-step explanation:
Hope this helps :)
The diagram shows a garden in the shape of a rectangle.
4 + 3x
The perimeter of the garden is 32 metres.
Work out the value of x
x+6
The dimensions of the rectangular garden are 8.5 meters and 7.5 meters.
What is Perimeter?Perimeter of a straight sided figures or objects is the total length of it's boundary.
The diagram is given below.
Given,
Perimeter of a rectangle = 2 (l + w), where l is the length and width.
Length of the rectangle = 4 + 3x
Width of rectangle = x + 6
Perimeter = 32 meters
Substituting,
2 (l + w) = 32
2(4 + 3x + x + 6) = 32
2(4x + 10) = 32
4x + 10 = 16
4x = 6
x = 6 / 4 = 3/2 = 1.5
Length = 4 + 3x = 8.5 meters
Width = x + 6 = 7.5 meters
Hence the length and width of the rectangle are 8.5 meters and 7.5 meters respectively.
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Complete each function table.
Answer:
0, 3(0), 0
1, 3(1), 3
2, 3(2), 6
Is 9a2 + 36 the difference of two squares?
a) No
b) Yes
Answer:
no
Step-by-step explanation:
Answer:
a) No
Step-by-step explanation:
The difference of squares is an equation where ax^2-c, where c>0 and c need to be a perfect square and a needs to be a perfect square. Although a and c are perfect squares, c<0, so this is not a perfect square.
calculate the taylor polynomials 2 and 3 centered at =0 for the function ()=16tan().
Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:
P2(x) = 16x + 8x^2
P3(x) = 16x + 8x^2
To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.
The Taylor series expansion for tangent function is:
tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...
Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:
Degree 2 Taylor polynomial:
P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2
= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2
= 0 + 16x + 8x^2
Degree 3 Taylor polynomial:
P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3
= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3
= 16x + 8x^2
Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:
P2(x) = 16x + 8x^2
P3(x) = 16x + 8x^2
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CAN SOMEONE PLS ANSWER THIS AND EXPLAIN
Answer:
because if you flip it they will line up
Step-by-step explanation:
Find the missing length triangle
a=4,b=?,c=11
Answer:
c Po ung ans :))))))))))))))))))
Answer:
d) \(b = \sqrt{105}\) ≈ 10.24
Step-by-step explanation:
\(a^2+b^2=c^2\)
\((4)^2+b^2=(11)^2\)
\(16+b^2=121\)
subtract 16 from both sides
\(b^2=105\)
\(b=\sqrt{105\)
b = 10.24695...
b ≈ 10.24
Please help! Will mark Brainiest!
Answer:
27.93 square yard
Step-by-step explanation:
For semicircle:
Radius (r) = 7 yards
For Triangle:
b = 2r = 2*7 = 14 yd
h = 7 yard
Area of shaded region = Area of semicircle - Area of triangle
\( = \frac{1}{2} \times \pi {r}^{2} - \frac{1}{2} \times b \times h \\ \\ = \frac{1}{2} \times 3.14 \times {7}^{2} - \frac{1}{2} \times 14\times 7 \\ \\ = \frac{1}{2} \times 3.14 \times 49 - \frac{1}{2} \times 98\\ \\ = 3.14 \times 24.5 - 49 \\ \\ = 76.93 - 49 \\ \\ = 27.93 \: {yd}^{2} \\ \)
19+1=x
what does x equal?
(hint: it's math and common sense)
Answer:
X equals 20
Step-by-step explanation:
19+1=x rearranged is X-19=1 and 20 minus 19 is 1 therefore 20 is the value of X.
Answer:
x = 20
Step-by-step explanation:
19 + 1 = 20
A mine extracts 2 metric tons of coal in an hour. The mine uses ton of the extracted coal every hour to generate electricity for the mine and sells the rest. If t is the number of hours spent mining, which expression represents the amount of ore sold? How much ore can the mine sell after extracting ore for 12 hours?
Answer:
A
Step-by-step explanation:
Got it right!! <3
Pls mark brainliest ^^
Malloy solved the equation-5x-16=8 his work is shown below. Identity the error and where it was made. Step 1: -5x-16+16=8+16 Step 2: -5x=24 Step 3: -5x/5=24/5 Step 4: x=24/5
Answer:
he divided both sides by 5 instead of -5 in his last step
Step-by-step explanation:
Given the expression solved by max expressed as;
-5x - 16 = 8
Step 1: Add 16 to both sides
-5x - 16 + 16 = 8 + 16
-5x = 24
Step 2:
Divide both sides by -5
-5x/-5 = 24/-5
x = -24/5
According to Malloy calculation, he divided both sides by 5 instead of -5 in his last step
pls help giving brbrainlyist
The fourth choice. For example, (x+2)(x-2)>0 we'll get x>2 or x<-2 because whenever you substitute x>2 for example x = 3, the value will be higher than 0 itself.
If we substitute x = 3 (for x>2)
We'll get (3+2)(3-2)>0
5(1)>0
5>0 The statement is true.
If we substitute x = -3 (for x<-2)
We'll get (-3+2)(-3-2)>0
-1(-5)>0
5>0 The statement is true.
We don't say x>2 AND x<-2, In math, we only say x>2 OR x<-2
Answer:
x >2 and x < -2
Step-by-step explanation:
The line on the right starts on -2 and goes towards -10
So ; x is x < -2
The line on the right starts on 2 and goes towards 10
So ; x is x >2
what are the potential risks of a single large, comprehensive experiment in contrast to a sequential approach?
A single large, comprehensive experiment can carry risks such as resource allocation reduced opportunity for learning and improvement, increased risk of bias, lack of diversity in experimental conditions, and limited generalizability.
There are several potential risks associated with a single large, comprehensive experiment compared to a sequential approach:
Resource and time allocation: Conducting a single large, comprehensive experiment may require significant resources and time, including funding, personnel, equipment, and logistical arrangements. If the experiment does not yield the desired results or if there are unexpected challenges or setbacks, these investments may be wasted, resulting in potential financial and time losses.
Limited adaptability: A single large, comprehensive experiment may have limited flexibility or adaptability to changes or unforeseen circumstances. If the experiment encounters unexpected obstacles, such as technical difficulties, ethical concerns, or changes in the research context, it may be challenging to modify or pivot the experiment to address these issues effectively.
Reduced opportunity for learning and improvement: Without the ability to iterate and refine the experimental design based on interim findings or feedback, a single large, comprehensive experiment may not allow for continuous learning and improvement. This may result in missed opportunities to optimize the experiment and achieve better results.
Increased risk of bias: A single large, comprehensive experiment may carry a higher risk of bias compared to a sequential approach. The experimenters may have preconceived notions, assumptions, or preferences that could influence the experimental design, data collection, analysis, and interpretation of results, potentially leading to biased findings.
Lack of diversity in experimental conditions: A single large, comprehensive experiment may not adequately capture the diversity and variability of conditions or factors that could influence the research question of interest. In contrast, a sequential approach with smaller experiments conducted in different contexts or conditions may allow for a more nuanced understanding of the research question from different perspectives.
Limited generalizability: Findings from a single large, comprehensive experiment may have limited generalizability to other contexts or populations. The specific conditions, settings, or characteristics of the experiment may not fully reflect the real-world complexity or diversity of the research question, which could limit the external validity of the findings.
Overall, a single large, comprehensive experiment can carry risks such as resource allocation, limited adaptability, reduced opportunity for learning and improvement, increased risk of bias, lack of diversity in experimental conditions, and limited generalizability.
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If x = 6, then what is the answer for 4x + 3?
Answer:
27 I think
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
X is an imaginary number in a scence, can be any number you want it to. In this case, they want X to equal 6. When you have X next to a number (Such as 4x) then you need to use 6 as X and multiply it by 4. So you have 4(6) + 3. 4 times 6 is 24 then add the 3 and you got 27.
which expression is equivalent to (7x^3)^2(x^8)1/2
Answer: 49x^14
Step-by-step explanation:
What is wrong with this solution? -6t + 16 = -8 Step One: -6t + 16 = -8 - 16 Step Two: -6 • -6t = -24 • -6 Solution: t = 144
Answer:
t = 4
Step-by-step explanation:
In step two, instead of multiplying by -6 on both sides, you need to divide by -6 to isolate t.
-6t = -24
÷-6 ÷-6
t = 4
When you multiply by -6 on both sides, the equation would be 36t = 144, which is not what we want. The opposite of multiplication is division, and in order to get the answer, you divide by the number multiplied.
Perform the operation. Write your answer in scientific notation. 3.4×10^4+7.1×10^5
PLEASE HElp asap
Solve for x.
x = [?]
X + 19
7x + 9
Which equation results from adding the equations in this system?
-2x+y=8
5x-y=-5
O 7X= 13
O 7x=3
O 3x = 3
O 3x= 13
Answer:
3x = 3
Step-by-step explanation:
the right answer is 3x = 3
-2x + y = 8 .......(i)
5x-y =-5........(ii)
From equation (i)
y=8+2x
Putting the value of y in euation (ii)
We have,
5x-(8+2x) = -5
5x-8-2x = -5
3x=-5+8
3x = 3
also what we can do is,
x=3/3
therefore, x =1