Answers
The tension forces are 1895 N and 2542 N.
What is the tension in the ropes?
Tension force is a type of force that results from the stretching or pulling of an object, such as a rope, cable, or string. When an object is under tension, it experiences a force that acts along its length, pulling it apart
We know that the third angle in the triangle that is formed is;
180 - [35 + 48]
= 97 degrees
We then have the tension in the ropes as T1 and T2
Using the sine rule;
T1/sin 35 = 3275/sin97
sin97T1 = 3275 sin 35
T1 = 3275 sin 35/sin97
T1 = 1895 N
For T2
T2/sin48 = 3275/sin97
sin97T1 = 3275 sin 48
T1 = 3275 sin 48/sin97
T1 = 2542 N
Learn more about tension:https://brainly.com/question/15880959
#SPJ1
Related Questions
Write the quadratic function in factored form given the parabola has roots of 9 and -6 and passes through the point (-8,-102).
Answers
The quadratic function in factored form given the parabola has roots of 9 and -6 and passes through the point (-8,-102) is f(x) = x²-3x-54
What is a quadratic function?A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.
Given that, the quadratic function in factored form given the parabola has roots of 9 and -6 and passes through the point (-8,-102).
We know that, the standard form of the quadratic equation is given by,
x²-(α+β)x+αβ=0, where α and β are roots of the equation,
Therefore,
x²-(9-6)x+9(-6) = 0
x²-3x-54 = 0
Hence, the quadratic function in factored form given the parabola has roots of 9 and -6 and passes through the point (-8,-102) is f(x) = x²-3x-54
Learn more about quadratic function, click;
https://brainly.com/question/18958913
#SPJ1
here is a shape. find the total area of the shape
Answers
Answer:
Area A, is x times y
Step-by-step explanation:
To find the area you must multiply the light x width of a rectangle or square
um.... kauser is this u
A rectangular prism measures 7 1/2 cm by 12 cm by 15 1/2 cm. ****If you are stuck, think about how many cubes with 1/2 cm edge lengths fit into 1 cubic centimeter*** Calculate the number of cubes with edge length 1/2 cm that fit in this prism. Cubes What is the volume of the prism in centimeters cubed? centimeters cubed
Answers
Number of cubes with edge length 1/2cm that fit in the prism is 11160 and the volume of the prism is 1395 cubic centimeter
Dimensions of the rectangular prism = [tex]7\frac{1}{2}[/tex] cm × 12 cm × [tex]15\frac{1}{2}[/tex] cm
Convert the mixed fraction to the simple fraction
The dimensions of the rectangular prism = 15/2 cm × 12 cm × 31/2 cm
The volume of the rectangular prism = w × l × h
Where
w is the width
l is the length
h is the height
The volume of the rectangular prim = 15/2 × 12 × 31/2
= 1395 cubic centimeter
The side off the cube = 1/2 cm
Volume of the cube = a^3
= (1/2)^3
= 0.125 cubic centimeter
Number of cubes will fit in rectangular prism = Volume of rectangular prism / Volume of the cube
= 1395 / 0.125
Divide the terms
= 11160 cubes
Therefore, 11160 cubes will fit in the rectangular prism and the volume of the prism is 1395 cubic centimeter
Learn more about rectangular prism here
brainly.com/question/21308574
#SPJ4
suppose that the proportions of blood phenotypes in a particular population are as follows: a b ab o 0.42 0.14 0.05 0.39 assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are o? (enter your answer to four decimal places.)
Answers
The probability that both phenotypes are o is 0.1600
Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail. Both instances include independent occurrences of the two events.
In a probability notation, events and are independent if ( ∣ ) = ( ) . Events and are independent if and only if ( ∩ ) = ( ) × ( ) . If and are dependent events, then ( ∩ ) = ( ∣ ) × ( ) .
the proportions of blood phenotypes in a particular population are as follows: a b ab o 0.42 0.14 0.05 0.39 so for o the value is 0.40 so we put it and slolve .
The samples are independents, so:
P(O1∩O2) = P(O1).P(O2) = 0.40*0.40=0.1600
know more about independent events in probability click here;
https://brainly.com/question/13307696
#SPJ4
find the quadratic equation whose roots are 5 and -9
Answers
The equation of the quadratic equation whose root are 5 and -9 is x² +4x -45
What is quadratic equation?quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The equation of a quadratic is given as :
x²-(alpha+beta)x + alpha×beta = 0
where alpha and beta are the roots of the quadratic equation.
alpha+beta = 5-9 = -4
alpha × beta = -9× 5 = -45
therefore the equation will be;
x²-(-4)x + ( -45) = 0
x² + 4x -45 = 0
learn more about quadratic equation from
https://brainly.com/question/1214333
#SPJ1
which of these shapes is a right isosceles triangle?
Answers
A right isosceles triangle is a triangle with a right angle (90 degrees) and two sides that are equal in length. This means that the triangle is also a special case of an isosceles triangle where the two equal sides are adjacent to the right angle.
To identify a right isosceles triangle among a group of shapes, you should look for the shape that has a right angle and two sides of equal length. One way to check for the right angle is to look for a corner that forms a square angle (i.e., 90 degrees), and one way to check for the equal sides is to compare the length of each side.
For such more question on triangle:
https://brainly.com/question/17335144
#SPJ4
The following question may be like this:
What is a right isosceles triangle?
A rectangle's length is 12 meters more than 5 times the width. The area is 32 square meters. What is the width?
Answers
Let's call the width of the rectangle "w".
According to the problem, the length of the rectangle is 12 meters more than 5 times the width, so we can write that as:
L = 5w + 12
And the area is given as 32 square meters, so we can write that as:
A = L * w = 32
Now we have two equations:
5w + 12 = L
L * w = 32
We can use the first equation to substitute the value of L in the second equation:
L = 5w + 12
32 = (5w + 12) * w = 5w^2 + 12w
Expanding the right side of the equation, we get:
32 = 5w^2 + 12w
Now we have a quadratic equation that we can solve for w. To do this, we can use the quadratic formula:
w = (-b ± √(b^2 - 4ac)) / 2a
where a = 5, b = 12, and c = -32. Plugging in these values, we get:
w = (-12 ± √(12^2 - 4 * 5 * -32)) / (2 * 5)
w = (-12 ± √(144 + 640)) / 10
w = (-12 ± √(784)) / 10
w = (-12 ± 28) / 10
w = (16 / 10) or ( -40 / 10)
w = 1.6 or -4
Since the width cannot be negative, the width must be 1.6 meters.
two messenger services deliver to a small town. service a has 75% of all the scheduled deliveries, and service b has the remaining 25%. their on-time rates are 80% and 60% respectively. calculate the probability that a package is delivered on time.
Answers
Service a has 75% of all the scheduled deliveries, and service b has the remaining 25%, their on-time rates are 80% and 60% respectively, the probability that a package is delivered on time is 0.75 or 75%.
To calculate the probability that a package is delivered on time, we need to use the law of total probability and the probabilities of on-time delivery for each messenger service.
Let A denote the event that a package is delivered by Service A, and B denote the event that a package is delivered by Service B. Then, we have:
P(on-time delivery) = P(on-time delivery | A) * P(A) + P(on-time delivery | B) * P(B)
where P(on-time delivery | A) is the probability that a package is delivered on time given that it was sent through Service A, and P(A) is the probability that a package is sent through Service A.
Similarly, P(on-time delivery | B) is the probability that a package is delivered on time given that it was sent through Service B, and P(B) is the probability that a package is sent through Service B.
From the information given in the question, we know that P(A) = 0.75, P(B) = 0.25, P(on-time delivery | A) = 0.8, and P(on-time delivery | B) = 0.6. Substituting these values into the above formula, we get:
P(on-time delivery) = 0.8 * 0.75 + 0.6 * 0.25
= 0.6 + 0.15
= 0.75
Intuitively, this result makes sense because Service A, which has a higher on-time rate and delivers 75% of the packages, dominates the total probability of on-time delivery. However, the contribution of Service B cannot be ignored completely and reduces the overall on-time rate slightly.
To learn more about probability click on,
https://brainly.com/question/17483505
#SPJ4
? a retailer entered into an exclusive agreement with a supplier who guaranteed to provide all products at competitive prices. the retailer eventually began to purchase supplies from other vendors who offered better prices. the original supplier filed a lawsuit claiming violation of the agreement. in defense, the retailer had an audit performed on a random sample of 25 invoices. for each audited invoice, all purchases made from other suppliers were examined and compared with those offered by the original supplier. the percent of purchases on each invoice for which an alternative supplier offered a lower price than the original supplier was recorded.26 for example, a data value of 38 means that the price would be lower with a different supplier for 38% of the items on the invoice. a histogram and some computer output for these data are shown below. explain why we should not carry out a one-sample t test in this setting
Answers
A one-sample t-test should not be carried out in this setting because the data is in the form of a frequency distribution and is not continuous, and the distribution is not normal.
In statistics, a one-sample t-test is used to determine whether a sample mean is significantly different from a known population mean. However, in this scenario, the data collected and analyzed is in the form of a frequency distribution, where the percent of purchases for which an alternative supplier offered a lower price was recorded.
A frequency distribution shows the number of times a particular value or range of values occurs in a dataset. In this case, the frequency distribution shows the number of invoices that had a certain percentage of purchases for which an alternative supplier offered a lower price. This type of data is not suitable for a one-sample t-test because a t-test requires continuous data, which is not the case here.
Furthermore, a one-sample t-test assumes that the data is normally distributed. A histogram of the data in this scenario shows that the distribution is not symmetrical and does not resemble a normal distribution. Therefore, carrying out a t-test would not be appropriate.
To know more about frequency here.
https://brainly.com/question/28931302
#SPJ4
Calculate the area of a parallelogram which sides are 8cm 13cm and11cm
Answers
Answer:
the answer will be based on which is the base and height, the area of a parallelogram is base×height(bh) so, all you have to do is multiply the base with the height. For example if the base is 7cm, height is 12cm, and the other side is 3cm. The area of the parallelogram from the question will be 84cm²
Given the point (−,), write the coordinates of a point that is related by a reflection over the -axis. Write your answer with a comma and no spaces. Example 7,2 or -7,-2
Answers
When a point (x, y) is reflected across x-axis then (x, -y) will be the new point and reflected across y-axis then (-x, y) be the point.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph
Reflection is a process of transformation.
A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane.
Let the coordinates of a point be (4, 3).
When the coordinates of a point that is related by a reflection over the x-axis, then the new coordinate will be (4,-3).
(x, y)---->(x, -y)
The reflection of point (x, y) across the y-axis is (-x, y).
(x, y)---->(-x, y)
(4,3) reflection across the y-axis is (-4, 3).
Hence, the reflection of point (x, y) across the y-axis is (-x, y) and reflection of point (x, y) across the x-axis is (x, -y).
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ1
what is the period of the function f(x) shown in the graph?
Answers
Answer:
8π
Step-by-step explanation:
The period of a function f(x) is the x-distance between two repeating points of the function
Looking at the function graph given we see that the function reaches a peak value(called amplitude) at x = -6π and then again reaches this value at x = 2π
So the x-distance is 2π - (-6π) = 2π + 6π = 8π
From 2π, the function reaches its maximum value again at 10π giving the period once again as 10π - 2π = 8π
Solve for r in terms of q, s, and t.
s = -tqr
r=
Answers
Answer:
I didn't understand the question 100% but I think the question is asking you to give an equation from the given one
so the answer will be
-s divided over tq
each apple tree produces 48,5 kg apples the apples have an average mass of 165g each
calculate the total number of apples produced by the 200 trees
Give your answer correct to the nearest 1000 apples
Answers
5 additional trees give maximum yield and 35 trees per acre will give largest crop of apple.
Let's assume that, we are planting x apple trees extra per acre. So, net 10x apple will be less.
Let say, total number of apples = y
Then, y = (30+x)×(400–10x)
For, optimum number of trees, let's do the differentiation of the above equation with respect to x.
d(y)/d(x) = (400–10x)×1 + (30+x)×(-10)
= 400–10x-300–10x
= 100–20x …………..(1)
For mimima or maxima, the above equation must be equal to 0.
So, 0 = 100–20x
=> x=5
Let's do the second differentiation of equation (1) and substitute the the value of x I.e x=5
[tex]d^2(y)/d(x^2) = -20[/tex]
The above equation is negative for all values of x which indicates that at x=5 we will have the maximum value.
So, the number of trees for maximum apple will be (30+x)
So, 30+5 = 35 trees per acre will give the largest crop of apple.
Hence 5 additional trees give maximum yield and 35 trees per acre will give largest crop of apple.
Learn more about maxima and minima at:
brainly.com/question/82347
#SPJ1
A container of laundry detergent holds 100 fluid ounces. You use 9 fluid ounces each week. The table shows the amount of laundry detergent that remains after a certain number of weeks. Complete the table Number of Weeks Fluid Ounces Remaining in the Container
Answers
The number of fluids remaining after x weeks is given by the following equation:
y = 100 - 9x.
Hence the number of fluids remaining after week x is found replacing x by the week at the above equation.
How to define the linear function?
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.For this problem, the parameters are given as follows:
b = 100, which is the capacity of the container.m = -9, as each week, the number of fluid ounces in the container is decreased by 9.Hence the function is given as follows:
y = 100 - 9x.
Missing InformationThe problem is incomplete, hence the function used to obtain the amounts is presented.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
What is the value of f(x)=23.2x+2.5 at x =-4.2
Answers
Answer:
-94.94
Step-by-step explanation:
f(x)=23.2x+2.5
Let x = -4.2
f(4)=23.2(-4.2)+2.5
=-97.44+2.5
=-94.94
Answer:
Since x = -4.2, just fill it in the equation and solve:
23.2 * -4.2 + 2.5 =
23.2 * -4.2 = -97.44
-97.44 + 2.5 = -94.94
f(x) = -94.94
Step-by-step explanation:
Hope it helps! =D
Hope it ain't wrong either. If so, I'm sorry.
**EASY POINTS** There is a circular running path in the park. The diameter of the circle is 350 m. What is the length of one lap around the park?
Answers
Answer:
1099
Step-by-step explanation:
350*pi=1099
Arithmetic sequences calculator
This online tool can help you find n^th term and the sum of the first n terms of an arithmetic progression. Also, this calculator can be used to solve much more complicated problems. For example, the calculator can find the common difference (d) if a5=19 and s7=105. The biggest advantage of this calculator is that it will generate all the work with detailed explanation
Answers
An arithmetic sequence calculator is a tool or program that can be used to find the terms of an arithmetic sequence, given the first term and the common difference. The "nth term" of an arithmetic sequence refers to the term in the sequence that is in the nth position.
An arithmetic sequence calculator is a tool or program that can be used to find the terms of an arithmetic sequence, given the first term and the common difference. The common difference is the value that is added to each term in the sequence to obtain the next term. Given these two values, the calculator can generate the entire sequence of terms. Some calculators may also be able to find the first term and common difference from a given set of terms, as well as other properties of an arithmetic sequence, such as the sum of the terms, the nth term, etc. The "nth term" of an arithmetic sequence refers to the term in the sequence that is in the nth position. In other words, it is the term that corresponds to the number n in the sequence. The nth term can be calculated using the formula for the nth term of an arithmetic sequence, which is given by: a_n = a_1 + (n-1)d. where a_1 is the first term of the sequence, d is the common difference, and n is the position of the term that we want to find. For example, if the first term of an arithmetic sequence is 3, and the common difference is 2, then the nth term can be found by plugging in the values of a_1, d, and n into the formula.
To learn more about arithmetic sequence click here
brainly.com/question/10694174
#SPJ4
Complete Question
What is Arithmetic sequences calculator and what is nth term?
Two joggers run 8 miles and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile they must travel to return to their starting position?
Answers
Answer:
A. 9.4 mi
Step-by-step explanation:
Sketch a right triangle with legs of 8 and 5. Shortest distance back to the starting point is the hypotenuse (h) of the triangle:
h² = 8² + 5² = 89
h = √89 = 9.43 mi
6. Ming uses 3/ 4 cup of peanuts and 1/ 4 cup of raisins to make a snack. Which statement correctly compares the fractions?
*
10 points
A. 3/4 = 1/4
B. 1/4 > 3/4
C 3/4 < 1/4
3/4 > 1/4
Answers
Answer:
3/4 > 1/4
Step-by-step explanation:
3/4 is 75%, and 1/4 is 25 percent. 3/4 is greater than 1/4!
what are parameters? group of answer choices parameters are measured constructs that vary across entities in the sample. parameters summarize data or relationships in the population and are usually estimated from a sample a parameter tells us about how well the mean represents the sample data. all of the options describe parameters.
Answers
The option is: Parameters summarize data or relationships in the population and are usually estimated from a sample.
Parameters are numerical values that describe a population, and they are usually estimated from a sample. Parameters summarize important characteristics of the population, such as the mean, variance, or correlation between variables. These characteristics may vary across different entities in the population, such as individuals, households, or businesses.
In statistical analysis, parameters are important because they allow us to draw inferences about the population from a sample. By estimating parameters from a sample, we can make generalizations about the population and test hypotheses about relationships between variables.
Learn more about statistics here: brainly.com/question/29093686
#SPJ4
Find the area of the figure. Use 3.14 for pie
Answers
The area of the figure is 254.8 m²
What is area?Area is the region occupied by an object.
How to find the area of the figure?Since the figure is a rectangle and containing two semi-circles, we find the area of the figure by finding the area of the rectangle and the two semi-circles.
What is the area of the rectangle?The area of the rectangle is given by A = LW where
L = length of rectangle and W = width of rectangleGiven that
L = 16 m and W = 12 mA = LW
= 16 m × 12 m
= 192 m²
What is the area of a semi-circle?The area of a semi-circle with diameter d is A = πd²/4
Now for the first semi-circle, its diameter d' = 8 m.
So, its area A' = πd'²/4
= π(8 m)²/4
= π64 m²/4
= 16π m²
= 16 ×3.14 m²
= 50.24 m²
Also, for the fsecond semi-circle, its diameter d" = 4 m.
So, its area A' = πd'²/4
= π(4 m)²/4
= π16 m²/4
= 4π m²
= 4 × 3.14 m²
= 12.56 m²
So, the area of the figure is A₁ = A + A' + A"
= 192 m² + 50.24 m² + 12.56 m²
= 254.8 m²
So, the area of the figure is 254.8 m²
Learn more about area of figure here:
https://brainly.com/question/30317304
#SPJ1
After allowing 10% discount on the marked price of a radio, 13% VAT was levied and sold it. If the difference between selling price with VAT and selling price after discount is Rs 1170, find the marked price of that radio
Answers
The marked price of the radio is Rs 10000.
How to find the marked price of that radioFrom the question, we have the following parameters that can be used in our computation:
Discount = 10%
VAT = 13%
VAT - Selling price = 1170
Represent the price of the radio with x
Using the above as a guide, we have the following:
Discount = 10% implies 0.9x
VAT = 13% implies 0.9x * 1.13 = 1.017x
So, the difference is
1.017x - 0.9x = 1170
This gives
0.117x = 1170
Divide
x = 10000
Hence, the price of the radio is Rs 10000.
Read more about discount at
https://brainly.com/question/7459025
#SPJ1
Determine the equation of the circle graphed below?
Answers
Answer:
(x + 6)² + (y - 5)² = 16
Step-by-step explanation:
b) A plank of wood 3.5 m long is cut into 5 pieces of equal length. How long, in m, is each piece?
Answers
70 cm or 0.7 m
Step-by-step explanation:3.5 x 100 = 350
350 / 5 = 70
it would be 180 - 136 right?
Answers
Answer:
It would be 180 - 136 = 44
Step-by-step explanation:
Answer:
yes you are correct
Step-by-step explanation:
180-136=44
Which of the following titles is most likely a compare-and-contrast essay?
A. Living on the West Coast and Why I Like It
B. East Meets West: Natives’ Perspectives
C. Traveling on the West Coast
D. Problems with Living on the East Coast
Answers
B. East Meets West: Natives’ Perspectives is most likely a compare-and-contrast essay because it is directly comparing the perspectives of people from the East and West coasts. The other titles are more descriptive or subjective in nature, rather than focused on comparing and contrasting two different things.
Notice how it already compares two things in the title, East and West
13 25 4 8 17 21 A number is to be written on the blank card. The mode and median of all seven numbers are both the same. Find one possible number that can be written on the blank card.
Answers
Answer:
13 or 17
-------------------
Given numbers:
13, 25, 4, 8, 17, 21Put them in the ascending order:
4, 8, 13, 17, 21, 25Let the possible number to be added be x.
Since x is the median, it should be between 13 and 17:
4, 8, 13, x, 17, 21, 25Also x is the mode. As we see all 6 number are unique, x should be repeat of 13 or 17 in order to be a mode. Therefore the possible number that can be written on the blank card is either 13 or 17.
question 12
help me asap
Answers
Answer:
ED = 4 cm
Step-by-step explanation:
given 2 secants from an external point to the circle, then the product of one secant's external part and the entire secant is equal to the product of the other secant's external part and that entire secant, that is
CD × CE = CB × CA
8(8 + x) = 6(6 + 10) = 6 × 16 = 96 ( divide both sides by 8 )
8 + x = 12 ( subtract 8 from both sides )
x = ED = 4 cm
sin 20° = ?
tan 20⁰
sin 70⁰
cos 20⁰
cos 70⁰
Answers
The sin 20° can be expressed as D. cos 70⁰
How can the angle be determined?We will need to find the value of given angles one after the other . for instance By creating an angle of 70 degrees with the x-axis and then determining the coordinates of the point (0.342, 0.9397) on the unit circle, it is possible to determine the value of sin 70 degrees. The y-coordinate is equal to the value of sin 70°. (0.9397). ∴ sin 70° = 0.9397.
The given angle is
Sin 20° = 0.342
option A;
tan 20⁰ =0.364
Option B:
sin 70⁰ = 0.9397
Option C :
cos 20° = 0.9397.
Option D :
cos 70 degrees = 0.342
Therefore, option D is correct.
Learn more about trigonometic at:
https://brainly.com/question/24349828
#SPJ1
