A scatter plot would be appropriate for displaying the data for the given question as it can show the relationship between two variables (angle of incoming sunlight and number of daylight hours) and help determine if there is a correlation between them.
A scatter plot is a type of graph that displays the relationship between two variables. In this case, the two variables are the angle of incoming sunlight and the number of daylight hours experienced at a location. Each point on the plot represents a specific location and shows the values for both variables. By plotting all the data points on the graph, we can visually see if there is a correlation between the two variables.
If there is a positive correlation between the angle of incoming sunlight and the number of daylight hours, we would expect to see a general trend of the points moving from the lower left to the upper right of the graph. Conversely, if there is a negative correlation, we would expect to see the points moving from the upper left to the lower right of the graph. If there is no correlation, the points would be scattered randomly around the plot.
To know more about scatter plot,
https://brainly.com/question/31343001
#SPJ11
can someone pls help me?
Answer:
yes, every one will fit.
Step-by-step explanation:
114 divided by 3 is 38 so there are 38 teams and each person will fit.
9514 1404 393
Answer:
22. yes
23. is divisible by 9
Step-by-step explanation:
A number is divisible by 9 if the sum of its digits is divisible by 9. The process of reducing the sum of digits to a single digit is called "casting out nines." It can be a useful process for checking arithmetic of all sorts.
A number is divisible by 3 if the sum of its digits is divisible by 3.
__
22. 114 is divisible by 3 because 1+1+4 = 6, a number divisible by 3. Everyone will have a spot.
__
24. 2187 has a sum of digits of 2+1+8+7 = 18, which has a sum of digits of 1+8=9. This is divisible by 9, so 2187 is divisible by 9.
Please help meee !!!??
its A
bugs in ur skinVbugs in ur skinbugs in ur skinbugs in ur skin bugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skin bugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinVbugs in ur skinbugs in ur skinVbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinbugs in ur skinVVbugs in ur skinVVVVbugs in ur skin
10. Susan went out and bought 2 packs of toilet paper and 4 containers of Clorox wipes for $46. She told her friend where she found them and her friend went out and bought 1 pack of toilet paper and 3 containers of Clorox wipes for $27. How much did a pack of Clorox wipes cost? *
Answer:
$9
Step-by-step explanation:
Let's make the price of toilet paper x, and the clorox wipes y. We can then use the given information to create a system of equations.
Our equations are 2x+4y=36 (because 2 packs of toilet paper and 4 containers of Clorox wipes cost $46) and x+3y=27 (because 1 pack of toilet paper and 3 containers of Clorox wipes cost $27). Now, let's solve!
2x+4y=36 (1)
x+3y=27 (2)
2x+6y=54 (3) (i just mutiplied (2) by 2 so that i could eliminate x)
2y=18 (3)-(1)
y= $9/pack
Please help I don't know how to do it
The value of x is obtained as follows:
128º.
The measure of angle A is given as follows:
m < A = 132º.
How to obtain the measures?For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:
5x - 508 = x + 4.
4x = 512
x = 512/4
x = 128.
Then the measure of angle A is given as follows:
m < A = 5(128) - 508
m < A = 132º.
More can be learned about angle measures at https://brainly.com/question/25716982
#SPJ1
(d)
Most of the kinetic energy of the diver is transferred to the water.
How does this affect the thermal energy of the water?
Tick (✓) one box.
The thermal energy decreases.
The thermal energy stays the same.
The thermal energy increases.
Most of the kinetic energy of the water is transferred into the water, then the thermal energy will increase. Hence, option C is correct.
What is kinetic energy?Kinetic energy is the term used in physics to describe the force that a moving item has. It is described as the amount of effort necessary to accelerate anybody with a particular mass from rest to a given velocity. Except variations in speed, the body retains the kinetic energy it gains during acceleration.
The body uses exactly the same amount of energy when slowing down from its current rate to a state of rest. Formally, kinetic energy refers to any term in a system's Lagrangian that has a derivative with respect to time.
As per the given information in the question,
When the kinetic energy of the diver is transferred into the water, the thermal energy will increase.
The entity's thermal energy grows as the average kinetic energies of its particles rise. As a result, an object's thermal energy rises as its temperature does.
To know more about Kinetic energy:
https://brainly.com/question/26472013
#SPJ1
How to measure an angle
Answer:
You can use Protector' but dint have use this method:
Acute. Draw a vertical line connecting the 2 rays of the angle. To determine the number of degrees in an acute angle, connect the 2 rays to form a triangle. Line up the short end of your ruler with the bottom ray, then draw a vertical line intersecting the other ray using the long side of your ruler.
Dakota walked the dog for 14 minutes and then completed chores for 48
minutes. If she finished the chores at 1:32 p.m., what time did she start walking
the dog
Answer:
12:30 pm
Step-by-step explanation:
Add 14 + 48 = 62
there are 60 minutes in 1 hour
1:32 pm 1 hour ago is 12:32 pm
then subtract 2 and you get 12:30
Dakota started walking the dog at 12:30 pm.
Hope this helps!!!
Can anyone help me on this , please don’t send the link things .
Answer:
D
Step-by-step explanation:
1/2 is the same as square root
the square of 8 is 2 root 2
then x squared is 2
and y is 2
16 is to the power of 1/4 is 2
find the odds for rolling a 6-sided die and getting a 2. to find the odds against rolling a 6-sided die and getting a 2. to
The probability of an event not occurring refers to the probability of all other possible outcomes except for the event in question.
The odds for rolling a 6-sided die and getting a 2 are 1:5 or 1/5. This means that the probability of rolling a 2 is 1/6, and the probability of not rolling a 2 is 5/6. To find the odds against rolling a 6-sided die and getting a 2, we simply invert the odds for rolling a 2, which gives us the odds of rolling any number other than 2. The odds against rolling a 6-sided die and getting a 2 are therefore 5:1 or 5/1. This means that the probability of not rolling a 2 is 5/6, and the probability of rolling a 2 is 1/6. It's important to note that the odds against an event are not the same as the probability of that event not occurring. The odds against an event refer to the ratio of the number of unfavorable outcomes to the number of favorable outcomes, while the probability of an event not occurring refers to the probability of all other possible outcomes except for the event in question.
Learn more about probability here
https://brainly.com/question/13604758
#SPJ11
Find the flux of f across the surface s, where s is the part of the plane z=1 x y (oriented upward) inside the cylinder x2 y2=1, and f=j. group of answer choices 0
The flux of f across the surface s is 0.
To find the flux of f across the surface s, we can use the formula for flux:
flux = ∬(f · dS)
where f is the vector field, dS is the differential surface area vector, and the double integral is taken over the surface s.
In this case, f = j, which means the vector field is constant in the z-direction with a magnitude of 1. Therefore, the flux simplifies to:
flux = ∬(j · dS)
Now, let's calculate the flux step-by-step:
1. First, we need to parametrize the surface s. Since s is the part of the plane z=1 x y inside the cylinder x^2 + y^2 = 1, we can parametrize it as:
r(u, v) = (u, v, 1), where -1 ≤ u, v ≤ 1
2. Next, we need to find the differential surface area vector dS. Since s is a plane, the differential surface area vector is simply the cross product of the partial derivatives of r with respect to u and v:
dS = (∂r/∂u) × (∂r/∂v)
Calculating the cross product, we get:
dS = (1, 0, 0) × (0, 1, 0) = (0, 0, 1)
3. Now, let's evaluate the double integral ∬(j · dS) over the surface s. Since the magnitude of j is 1 and the dot product of j and dS is always 0, the flux is always 0.
Therefore, Flux of f across the surface s is 0.
To know more about the differential surface area visit:
https://brainly.com/question/32998017
#SPJ11
What is the length of ST?
Answer:
14.49 inches......I think this help you.....I am not dam sure this is right or not....
Question 1: A criminal court considers two opposing claims about a defendant: they are either innocent or guilty. In the Canadian legal system, the role of the prosecutor is to present convincing evidence that the defendant is not innocent. Lawyers for the defendant attempt to argue that the evidence is *not convincing* enough to rule out that the defendant could be innocent. If there is not enough evidence to convict the defendant and they are set free, the judge generally does not deliver a verdict of "innocent", but rather of "not guilty". (a) If we look at the criminal trial example in the hypothesis test framework, which would be the null hypothesis and which the alternative? (b) In the context of this problem, describe what rejecting the null hypothesis would mean. (c) In the context of this problem, describe what failing to reject the null hypothesis would mean. (d) In the context of this problem, describe what a type II error would be. (e) In the context of this problem, describe what a type I error would be.
(a) In the hypothesis test framework applied to the criminal trial example, the null hypothesis would be that the defendant is innocent, and the alternative hypothesis would be that the defendant is guilty.
In hypothesis testing, the null hypothesis represents the default assumption or the claim that is initially presumed to be true unless there is sufficient evidence to support the alternative hypothesis. In this case, the null hypothesis assumes the defendant's innocence, while the alternative hypothesis asserts their guilt.
The null hypothesis (H0): "The defendant is innocent" and the alternative hypothesis (Ha): "The defendant is guilty."
(b) Rejecting the null hypothesis would mean that the evidence presented by the prosecutor is strong enough to conclude that the defendant is not innocent and, consequently, the defendant is found guilty.
In hypothesis testing, rejecting the null hypothesis implies that the evidence provided is significant enough to support the alternative hypothesis. Therefore, if the null hypothesis is rejected in this context, it would mean that the evidence presented by the prosecutor is convincing, and the defendant is considered guilty.
Rejecting the null hypothesis in this case would lead to the defendant being found guilty based on the evidence presented.
(c) Failing to reject the null hypothesis would mean that the evidence presented by the prosecutor is not strong enough to conclude that the defendant is not innocent. Therefore, the judge would deliver a verdict of "not guilty."
Failing to reject the null hypothesis does not necessarily mean that the null hypothesis is true; it simply means that there is insufficient evidence to support the alternative hypothesis. In this scenario, if the null hypothesis is not rejected, it would mean that the evidence presented by the prosecutor is not convincing enough to rule out the possibility of the defendant's innocence.
Failing to reject the null hypothesis in this context would result in the defendant being declared "not guilty" due to insufficient evidence to prove their guilt.
(d) In the context of this problem, a type II error would occur if the judge fails to reject the null hypothesis (declares the defendant "not guilty") when, in reality, the defendant is guilty.
A type II error in hypothesis testing refers to the situation where the null hypothesis is false, but the test fails to reject it. In this case, a type II error would occur if the judge, despite the defendant being guilty, fails to find sufficient evidence to reject the null hypothesis of the defendant's innocence.
Committing a type II error in this scenario would result in the defendant being declared "not guilty" even though they are actually guilty.
(e) In the context of this problem, a type I error would occur if the judge rejects the null hypothesis (declares the defendant guilty) when, in reality, the defendant is innocent.
A type I error in hypothesis testing refers to the situation where the null hypothesis is true, but the test mistakenly rejects it in favor of the alternative hypothesis. In this case, a type I error would occur if the judge, based on the evidence presented, wrongly concludes that the defendant is guilty and rejects the null hypothesis of the defendant's innocence.
Committing a type I error in this scenario would lead to an incorrect conviction of the defendant, declaring them guilty when they are actually innocent.
To know more about hypothesis, visit
https://brainly.com/question/29576929
#SPJ11
The graph of f(x) is shown below of g(x) and f(x) are inverse functions, which graph represents g(x)
Answer:
It's B
Step-by-step explanation:
Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it
What is the answer?
Six envelopes each contain the same
amount of money. After $20 is removed.
The total amount of money altogether
is 200. How much is in each envelope
During swim practice Brand swim six butterfly stroke laps and eight freestyle Laps. What is the ratio of freestyle apps to total laps? A. 6:14 B. 8:6 C. 8:14 D. 14:8
Answer:
C) 8 : 14
Step-by-step explanation:
From the Question, we have
Six butterfly stroke laps
Eight freestyle Laps.
Total number of laps = (6 + 8)laps
= 14 laps
Hence,
The ratio of freestyle laps to total laps is:
Freestyle laps : Total laps
= 8 : 14
Option C is correct.
Find the 14th term of the geometric sequence 10, 20, 40, ...
The 14th term of the geometric sequence 10, 20, 40, ... is 81920.
What is geometric sequence?"A geometric sequence is a special type of sequence. It is a sequence in which every term (except the first term) is multiplied by a constant number to get its next term."
The geometric sequence formulas include the formulas for finding its nth term and the sum of its n terms. We will see the geometric sequence formulas related to a geometric sequence with its first term 'a' and common ratio 'r' (i.e., the geometric sequence is of form \(a, ar, ar^{2},ar^{3} ,.............\)). Here are the geometric sequence formulas.
\(a_{n}=ar^{n-1}\)
Given geometric sequence
10, 20, 40, .........
From the given sequence
\(a_{1} = 10\), \(a_{2} = 20\), \(a_{3} = 40\)
Using the formula \(a_{n}=ar^{n-1}\)
⇒ \(a_{4} = 10(2)^{3} =80\)
⇒ \(a_{5} = 10(2)^{4} =160\)
⇒ \(a_{6} = 10(2)^{5} =320\)
⇒ \(a_{7} = 10(2)^{6} =640\)
⇒ \(a_{8} = 10(2)^{7} =1280\)
⇒ \(a_{9} = 10(2)^{8} =2560\)
.
.
.
⇒ \(a_{14} = 10(2)^{13} =81920\)
Hence, the 14th term of the geometric sequence 10, 20, 40, ... is 81920.
Learn more about geometric sequence here
https://brainly.com/question/11266123
#SPJ2
If you go twice as fast, will your stopping distance increase by: A. Two times. B. Three times. C. Four times. D. Five times
If you go twice as fast, your stopping distance will increase by four times (option C).
This relationship is based on the laws of physics and the principles of motion.
When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).
According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.
It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.
To know more about laws of physics refer here:
https://brainly.com/question/13966796
#SPJ11
4. Write an equation in slope intercept form for a line with a slope of 3/8
y-intercept = -4.
K
BD bisects ZABC. Solve for x and find mZABC.
m/ABD = (6x), m/DBC = (2x+12)°
X=
m/ABC=
bisects x = -12AB / (2AB - 6BD)
m∠ABC = 6x
= 6 × (-12AB / (2AB - 6BD))
To solve for x and find the measure of angle ABC (m∠ABC), we will apply the angle bisector theorem and use the given information.
According to the angle bisector theorem, the ratio of the lengths of the segments created by an angle bisector is equal to the ratio of the measures of the angles formed by the bisector.
Let's set up the equation using the given information:
m∠ABD = 6x (angle ABD)
m∠DBC = 2x + 12 (angle DBC)
Using the angle bisector theorem, we have:
AB/BD = m∠ABD/m∠DBC
Since BD bisects ∠ABC, we can substitute the given measures into the equation:
AB/BD = (6x) / (2x + 12)
To solve for x, we can cross-multiply:
AB × (2x + 12) = BD × (6x)
Expanding both sides of the equation:
2ABx + 12AB = 6BDx
Rearranging the equation:
(2AB - 6BD)x = -12AB
Now we can isolate x:
x = -12AB / (2AB - 6BD)
The measure of angle ABC (m∠ABC), we substitute the value of x back into the expression:
Simplifying this expression further would require additional information about the lengths of AB and BD.
Without this information, we cannot find the exact value of m∠ABC.
For similar questions on bisects
https://brainly.com/question/22499006
#SPJ8
Simplify the problem 6(m + 5)
Answer:
6m+30
Step-by-step explanation:
Find the 11th term of the geometric sequence 7,35,175,..
A closed rectangular box (top included) is to be constructed with a square base. The material for the top of the box costs $1 per square foot and the remaining sides are $2 per square foot. If the total cost of materials for one box is $36, find the dimensions of the box that will have the greatest volume.
The dimensions of the box that will have the greatest volume are:
Length and width of the base: 2√3 feet
Height: h = (36 - x^2) / 8x = (√3)/2 feet
Let the length and width of the base be x, and let the height be h.
The surface area of the top is x^2, and the surface area of the remaining four sides is \(2(xh + xh) = 4xh\).
The cost of the top is \(x^2\), and the cost of the remaining four sides is \(2(4xh) = 8xh\). Therefore, the total cost is:
\(C(x,h) = x^2 + 8xh\)
We know that the total cost is $36, so we have:
\(x^2 + 8xh = 36\)
Solving for h, we get:
\(h = (36 - x^2) / 8x\)
The volume of the box is given by:
\(V(x,h) = x^2h\)
Substituting h in terms of x, we get:
\(V(x) = x^2 ((36 - x^2) / 8x)\)
Simplifying, we get:
\(V(x) = (1/8) x (36x - x^3)\)
To find the dimensions of the box that will have the greatest volume, we need to find the value of x that maximizes V(x). We can do this by taking the derivative of V(x) with respect to x, setting it equal to 0, and solving for x:
\(V'(x) = (1/8) (36 - 3x^2) = 0\)
Solving for x, we get:
x = 2√3
Therefore, the dimensions of the box that will have the greatest volume are:
Length and width of the base: 2√3 feet
Height: \(h = (36 - x^2) / 8x\) = (√3)/2 feet
The volume of the box is:
\(V = x^2h\)= (2√3)^2 ((√3)/2) = 9√3 cubic feet
Note: To confirm that this value represents the maximum volume, we can check that V''(x) < 0, which indicates a maximum point. We have:
\(V''(x) = (1/8) (-6x) = -3x/4\)
At x = 2√3, V''(x) = -3(2√3)/4 = -3√3/2 < 0, so this is indeed a maximum point.
To know more about dimensions refer here:
https://brainly.com/question/29581656
#SPJ11
500x1,002+246b yall help timer
Consider the absolute value functions cand d.Which statement correctly describes these functions?OA.The minimum value of d is 5 more than the maximum value of c.OB.The maximum value of dis 3 less than the minimum value of aОс.The minimum value of dis 3 more than the maximum value of c.ODThe maximum value of dis 5 less than the minimum value of a
The correct option is Option A
The minimum value of D is 2, while the maximum value of C is -3.
The minimum value of D is 5 more than the maximum value of C
help asap i give big brain!! which diagram shows lines converging?
Answer:
Diagram A
Step-by-step explanation:
Diagram A shows the ''converging lines.''
What is Line segment?
Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The diagram is shown in figure.
Now,
We know that;
Two or more lines that get closer and closer towards the end are called the Converging lines.
Thus, Diagram A shows the ''converging lines.''
Therefore, Diagram A shows the ''converging lines.''
Learn more about the line segment visit:
https://brainly.com/question/280216
#SPJ2
!!PLS HELP ASAP!!30 POINTS!!
Divide using synthetic division
\(x^4-3x^3-7x+1\)÷\(x+2\)
The quotient and remainder are x³ -5x² + 10x - 17 and 55.
What is Synthetic division?
When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials.
Here, (x+2) is a linear factor which indicates that synthetic division can be applied.
So, we will divide the x^4 - 3x^3 - 7x + 1 by x+2.
(refer the attached solution)
Learn more about Polynomials from the given link:
https://brainly.com/question/29638766
#SPJ1
If f′(−6)=7, and g(x)=−3f(x), what is g′(−6)?
Given that `f′(−6)=7` and `g(x)=−3f(x)`, we are supposed to find out what `g′(−6)` is.The derivative of `g(x)` can be obtained using the Chain Rule of derivatives. Let `h(x) = -3f(x)`.
Then `g(x) = h(x)`. Let's now differentiate `h(x)` first and substitute the value of x to get `g'(x)`.The chain rule says that the derivative of `h(x)` is the derivative of the outer function `-3` times the derivative of the inner function `f(x)`.Therefore, `h′(x) = -3f′(x)`Let's now substitute x = -6 to get `h′(-6) = -3f′(-6)`.`g'(x) = h′(x) = -3f′(x)`This means that `g′(−6) = h′(−6) = -3f′(−6) = -3 * 7 = -21`.Therefore, `g′(−6) = -21`.I hope this answers your question.
To know more about obtained visit:
https://brainly.com/question/2075542
#SPJ11
Use the trapezoidal rule with n = 20 subintervals to evaluate I = ∫_1^5▒sin ^2 (√Tt)dt
The trapezoidal rule with n = 20 subintervals can be used to evaluate the integral I = ∫_1^5▒sin ^2 (√Tt)dt. The value of the integral is approximately equal to 0.4598.
The trapezoidal rule is a numerical integration method that uses trapezoids to approximate the area under a curve. The trapezoidal rule with n = 20 subintervals divides the interval [1, 5] into 20 equal subintervals. The area of each trapezoid is then calculated and summed to approximate the area under the curve. The value of the integral is then obtained by multiplying the area of the trapezoids by the width of the subintervals.
In this case, the width of each subinterval is (5 - 1) / 20 = 0.2. The area of each trapezoid is then calculated as (sin^2(√Tt) at the midpoint of the subinterval) * (0.2). The sum of the areas of the trapezoids is then approximately equal to 0.4598.
To learn more about trapezoidal rule here brainly.com/question/30401353
#SPJ11
Using trig to find a side.
Solve for x. Round to the nearest tenth, if necessary.
The side length x of the triangle to the nearest tenth is 170.3
What is the value of side length x?The figures in the image are right-triangle.
From the diagram:
Angle θ = 20°
Opposite to angle θ = 62
Adjacent to angle θ = x
To find the value of x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Plug in the values
tan( 20 ) = 62 / x
Solve for x
x = 62 / tan( 20 )
x = 170.3
Therefore, the measure of side length labelled x is 170.3 units.
Learn more about trigonometric ratio here: brainly.com/question/28016662
#SPJ1
HELP and please explain it
Answer:
SAS, ASA, SSS, ASA, Yes
Step-by-step explanation: