The ferry can travel 7/18 of the distance between the two ports in one hour.To determine the fraction of the distance between the two ports that the ferry can travel in one hour, we need to find the rate at which the ferry is traveling.
We know that the ferry traveled 1/6 of the distance between the two ports in 3/7 hour. This information allows us to find the rate of the ferry's travel.
The formula to calculate rate is:
Rate = Distance / Time
Let's assume the total distance between the two ports is represented by D. Therefore, the distance traveled by the ferry is 1/6 of D. Similarly, the time taken is 3/7 hour.
Plugging these values into the formula, we get:
Rate = (1/6)D / (3/7) = (1/6)D * (7/3) = (7/18)D
The rate of the ferry's travel is (7/18)D.
To find the fraction of the distance the ferry can travel in one hour, we need to divide the distance traveled in one hour by the total distance:
Fraction = Distance in one hour / Total Distance = Rate / D = (7/18)D / D = 7/18.
For such more questions on Distance:
https://brainly.com/question/26046491
#SPJ11
please help:
solve each right triangle. round all angles to the nearest degree and all side lengths to the nearest tenth
The angle D is 29 degrees, side DF is 9 and side DE is 10.3 rounded to nearest tenth.
Assuming the remaining angle of triangle to be x. Calculating the same we get:
90 + 61 + x = 180
151 + x = 180
x = 180 - 151
x = 29 degrees
Now, cos theta = base (EF)/hypotenuse (DE) (for 61 degree angle)
cos 61 = 5/hypotenuse
Hypotenuse = 5/cos 61
Hypotenuse = 10.3
Working out sin 90 degree to find DF
sin 61 = perpendicular (DF)/ hypotenuse (DE)
0.87 = Perpendicular/10.31
Perpendicular = 0.87 × 10.31
Perpendicular = 9
Hence, the remaining angle is 29 degrees and sides are 10.3 and 9.
Learn more about right triangle -
https://brainly.com/question/2217700
#SPJ1
PLEASE HELP ME NEED THE ANSWER 80 POINTS RIGHT ASWER ONLY!!
Answer:on what
Step-by-step explanation: L
Three coins are tossed simultaneously. Let X be the number of heads that will turn up. How many possible values does X have?
1/2
HHH HHT THH HTH Rest of then are: TTT TTH THT HTT so the answer is 1/2
Find the volume of a right circular cone that has a height of 5.9 in and a base with a
diameter of 11.2 in. Round your answer to the nearest tenth of a cubic inch.
The volume of the cone is V = 193.8 inches³
Given data ,
Let the volume of the cone be represented as V
Now , the height of cone h = 5.9 inches
And , diameter of cone = 11.2 inches
So , radius of cone r = 5.6 inches
where , Volume of Cone = ( 1/3 ) πr²h
V = ( 1/3 ) ( 3.14 ) ( 5.6 )² ( 5.9 )
V = 193.8 inches³
Hence , the volume is V = 193.8 inches³
To learn more about cone click :
https://brainly.com/question/1984638
#SPJ1
find the critical numbers of the function. g(y) = y − 6 y2 − 2y + 12
Therefore, the only critical number of g(y) is y = -1/12.
To find the critical numbers of a function, we need to find the values of the independent variable (in this case, y) at which the derivative of the function is zero or undefined.
First, we find the derivative of g(y):
g'(y) = 1 - 12y - 2
Setting g'(y) = 0, we get:
1 - 12y - 2 = 0
-12y = 1
y = -1/12
Since the derivative is defined for all values of y, there are no values of y at which it is undefined.
To know more about critical number,
https://brainly.com/question/31920209
#SPJ11
what does the coefficient used to assess the internal consistency of a measure represent?
The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient.
What does the coefficient used to assess the internal consistency of a measure represent?The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient. This coefficient is a statistic that quantifies the internal consistency reliability of a scale or measure, specifically for measures with multiple items or indicators that are intended to measure the same underlying construct.
The coefficient ranges between 0 and 1, with higher values indicating greater internal consistency. Cronbach's alpha measures the extent to which the items in a scale or measure correlate with each other. It assesses how well the items are measuring the same underlying construct or concept.
In other words, the coefficient represents the proportion of variance in the observed scores that can be attributed to the true score, rather than measurement error or other extraneous factors. It indicates the degree to which the items in the measure are interrelated or consistent with each other, with higher values suggesting stronger internal consistency.
Researchers often use Cronbach's alpha to assess the reliability of scales in various fields, such as psychology, education, and social sciences, to ensure that the measure is measuring the construct consistently and accurately.
Learn more about coefficient on:
https://brainly.com/question/1038771
#SPJ4
in the context of anova, what source of variance is presumed to explain between treatments variance?
By identifying and isolating this effect, ANOVA provides a powerful statistical tool for determining whether there are significant differences between the means of the treatment groups being studied.
The source of variance that is presumed to explain between treatments variance in ANOVA is the treatment effect.
This effect represents the differences between the means of the treatment groups being compared. It is the primary factor being studied in ANOVA, as it is used to determine whether there are significant differences between the means of the treatment groups.
In ANOVA, the between treatments variance is explained by the treatment effect, which represents the differences between the means of the treatment groups being compared. This effect is the primary factor being studied in ANOVA, as it is used to determine whether there are significant differences between the means of the treatment groups. By isolating this effect, ANOVA allows researchers to determine whether any observed differences between the treatment groups are statistically significant or merely due to chance.
The treatment effect is the source of variance presumed to explain between treatments variance in ANOVA. By identifying and isolating this effect, ANOVA provides a powerful statistical tool for determining whether there are significant differences between the means of the treatment groups being studied.
To know more about treatments variance visit:
brainly.com/question/10231022
#SPJ11
Taylor is buying grapes and organes at the grocey store she purchase 1/4lb of grapes for 3. 20 per pound and d 1/2lb of oranges for 2. 98 per pound how much will taylor pay for thr grapes and oranges?
Taylor will pay $1.60 for the grapes and $1.49 for the oranges, totaling $3.09 for both.
To calculate the cost of the grapes, we multiply the weight (1/4 lb) by the cost per pound ($3.20):
Grapes cost = (1/4) lb * $3.20/lb = $0.80.
Similarly, to calculate the cost of the oranges, we multiply the weight (1/2 lb) by the cost per pound ($2.98):
Oranges cost = (1/2) lb * $2.98/lb = $1.49.
To find the total amount Taylor will pay for the grapes and oranges, we add the individual costs together:
Total cost = Grapes cost + Oranges cost = $0.80 + $1.49 = $2.29.
Therefore, Taylor will pay $1.60 for the grapes and $1.49 for the oranges, totaling $3.09 for both.
To learn more about weight click here
brainly.com/question/31993417
#SPJ11
andrea has 37 coins, all nickels and dimes. the value of the 37 coins is $3.10. how many dimes does andrea have?
Therefore, Andrea has 25 dimes in 37 coins, all nickels and dimes and the value of the 37 coins is $3.10.
Let's represent the number of nickels by "n" and the number of dimes by "d".
From the problem, we know that:
n + d = 37 (equation 1) ---(the total number of coins)
0.05n + 0.1d = 3.10 (equation 2) ---(the total value of the coins in dollars)
To solve for d, we can rearrange equation 1 to get:
n = 37 - d
Substitute this expression for n into equation 2 and simplify:
0.05(37-d) + 0.1d = 3.10
1.85 - 0.05d + 0.1d = 3.10
0.05d = 1.25
d = 25
To know more about dimes,
https://brainly.com/question/31110261
#SPJ11
Express 11.454545 as a ratio
Answer:
11:1
Step-by-step explanation:
Convert it into a fraction : 11 6/11
Multiply both the numerator and the denominator by 11 to get rid of the fraction part.
121/11
Simplify this by dividing both the numerator and the denominator by 11
11:1
a physician uses two labs to measure patient cholesterol levels and believes that lab 1 (1) may be reporting lower cholesterol levels, on average, than lab 2 (2). to test their theory, the physician collects pairs of blood samples from 35 patients and sends a sample from each patient to lab 1 and sends the other sample from each patient to lab 2. from the 35 pairs of blood samples, the mean and standard deviation of differences in cholesterol levels are calculated. is there evidence to confirm that lab 1 is reporting lower cholesterol levels, on average, than lab 2? flag question: question 9 question 9 5 pts which type of test should be used to determine if lab 1 is reporting lower cholesterol levels, on average, than lab 2? group of answer choices paired t test for means paired z test for means z test for means sign rank test t test for proportions t test for means z test for proportions
To determine if lab 1 is reporting lower cholesterol levels, on average, than lab 2, a paired t-test for means should be used.
This is because the physician collected pairs of blood samples from each patient and wants to compare the means of the two labs' cholesterol level measurements. The paired t-test for means is appropriate for comparing the means of two related samples, in this case, the blood samples from each patient tested by lab 1 and lab 2.
A paired t-test for means should be used to determine if lab 1 is reporting lower cholesterol levels, on average, than lab 2. This test is appropriate because the data consists of paired samples from the same patients, and the goal is to compare the means of the differences between the two labs.
To know more about measurements visit:-
https://brainly.com/question/29185971
#SPJ11
The morris family drove 368.5 miles in 5.5 hours. Determine their rate of speed
Answer:
67 mph
Step-by-step explanation
A method you'd want to remember is r = d/t, or rate equals distance divided by time.
Since the Morris family drove 368.5 miles in 5.5 hours, you'd divide the distance by 5.5.
(368.5/5.5) = 67 miles per hour.
So their average rate is 67 miles per hour.
suppose you want to select two types of snacks and one drink in a coffee shop. there are 5 choices of snacks and 8 types of drinks to choose from. if you don't want to pick the same snack twice, how many different combination of 2 snacks and 1 drink could you have?
There are 160 different combinations of 2 snacks and 1 drink that can be chosen if you can't pick the same snack twice.
What is the combination?
Combinations are a way to count the number of ways to choose a subset of objects from a larger set, where the order of the objects does not matter.
Since you can't pick the same snack twice, the first snack can be chosen in 5 ways, and the second snack can be chosen in 4 ways (since there are only 4 remaining choices after choosing the first snack). The drink can be chosen in 8 ways.
Using the multiplication principle of counting, the total number of different combinations of 2 snacks and 1 drink is:
5 × 4 × 8 = 160
Therefore, there are 160 different combinations of 2 snacks and 1 drink that can be chosen if you can't pick the same snack twice.
To learn more about the combination visit:
https://brainly.com/question/11732255
#SPJ4
Molly wants to see how many days until it’s June 24th. Right now, it is May 8th. Molly wants to see how many days until it’s June 24th WITHOUT the weekend days. How many days until it is June 24th without weekend days?
There are 34 weekdays from May 8th to June 24th, excluding the weekend days.
To solve this problemThere are 48 days altogether from May 8 through June 24.
We must only count the weekdays in order to leave out the weekend days (Saturday and Sunday) from this total.
There are 5 weekdays in a week because there are 7 days in a week, 2 of which are weekends.
We may divide the total number of days by 7 and then multiply the result by 5 to get the number of weekdays between May 8 and June 24:
Number of weekdays = (total number of days ÷ 7) x 5
= (48 ÷ 7) x 5
= 6.857 x 5
= 34.285
Therefore, there are 34 weekdays from May 8th to June 24th, excluding the weekend days.
Learn more about multiply here : brainly.com/question/28768606
#SPJ1
Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being "very satisfactory." This number represented 45% of the total number of customers who took the survey. What was the total number of customers who took the survey?
Answer:
we will use the cross multiplication method.
144 is 45%
(?). is 100%
so (144×100)/45 = 320
so there were total 320 costumers
if KM is 6cm and ML is 4 cm, what is JL?
The measurement of the JL value is 6cm.
Given the measurement of the KM value = 6cm
The measurement of ML value = 4cm
The given figure is in the shape of a rectangle. In rectangle we know that the length and breadth is equal in both sides.
The property is in a rectangle the opposite sides which are parallel sides are equal. [the measurements of both sides are the same]
By using the above condition,
The measurement of JL value which is parallel to the KM value is also 6cm.
So, from the above analysis, we can conclude that the value of JL is 6cm.
To know more about rectangle properties,
https://brainly.com/question/31137721
#SPJ1
Given question is missing figure, I am attaching below,
If two forces pull at right angles to each other, the resultant force can
be represented by the diagonal of a rectangle, as shown at the right. This
diagonal is a hypotenuse of a right triangle. A 50-lb force and a 120-lb force
combine for a resultant force of 130 lb. Are the forces pulling at right angles to
each other? Explain.
The forces are pulling at right angles to each other by using pythagorean theorem
To determine if the forces are pulling at right angles to each other, we can use the Pythagorean theorem
In a right triangle, the square of the length of the hypotenuse (the diagonal) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have a resultant force of 130 lb, which represents the hypotenuse of the right triangle.
The other two forces are 50 lb and 120 lb.
Using the Pythagorean theorem, we can calculate:
(50 lb)² + (120 lb)² = (130 lb)²
2500 lb² + 14400 lb²= 16900 lb²
16900 lb² = 16900 lb²
The equation is true, which means the forces satisfy the Pythagorean theorem.
Therefore, the forces are pulling at right angles to each other.
To learn more on Pythagorean theorem click:
https://brainly.com/question/14930619
#SPJ1
you are given two 8-sided dice. you roll them at the same time. how many outcomes result in a sum that is a square of something?
Rolling two 8-sided dice will yield 8 outcomes that result in a sum that is a square of something.
To find the number of outcomes that result in a sum that is a square, we need to determine the possible sums and identify which of them are perfect squares.
Let's analyze the possible outcomes when rolling two 8-sided dice. Each die has 8 faces, numbered from 1 to 8. Therefore, the maximum sum we can obtain is 8 + 8 = 16.
To determine the number of outcomes that result in a square sum, we need to identify the perfect square sums between 2 and 16. The perfect squares in this range are 4, 9, and 16.
Now, let's find the outcomes that yield these square sums:
To obtain a sum of 4, we can roll (1, 3), (2, 2), or (3, 1) on the two dice. That's 3 possible outcomes.
To obtain a sum of 9, we can roll (3, 6), (4, 5), (5, 4), or (6, 3) on the two dice. That's 4 possible outcomes.
To obtain a sum of 16, we can only roll (8, 8) on the two dice. That's 1 possible outcome.
Therefore, there are a total of 3 + 4 + 1 = 8 outcomes that result in a sum that is a square.
Know more about possible outcome here:
https://brainly.com/question/14704067
#SPJ11
Dr. Zinab has opened a retirement fund account, which pays 12% interest and requires $10,000 annual deposits. Dr. Zinab will retire in 10 years and expects 20 years of retirement life. What is the maximum annual retirement benefit Dr. Zinab can get during her retirement years?
The maximum annual retirement benefit that Dr. Zinab can receive during her retirement years depends on the balance in her retirement fund account at the time of retirement. Based on the given information, Dr. Zinab will make annual deposits of $10,000 for 10 years, which will earn an annual interest rate of 12%.
To calculate the maximum annual retirement benefit, we need to use the formula for the present value of an annuity due, which takes into account the annual payments made at the beginning of each year and the interest earned on those payments.
Using the formula, the maximum annual retirement benefit that Dr. Zinab can receive during her retirement years is approximately $54,305. This assumes that Dr. Zinab's retirement fund account has a balance of $1,449,787 at the time of her retirement, which is calculated based on the 10-year period of annual deposits and the interest earned on those deposits. This amount can be further adjusted based on Dr. Zinab's specific retirement needs and circumstances.
To learn more about annual deposits click here : brainly.com/question/28689203
#SPJ11
The maximum annual retirement benefit that Dr. Zinab can receive during her retirement years depends on the balance in her retirement fund account at the time of retirement. Based on the given information, Dr. Zinab will make annual deposits of $10,000 for 10 years, which will earn an annual interest rate of 12%.
To calculate the maximum annual retirement benefit, we need to use the formula for the present value of an annuity due, which takes into account the annual payments made at the beginning of each year and the interest earned on those payments.
Using the formula, the maximum annual retirement benefit that Dr. Zinab can receive during her retirement years is approximately $54,305. This assumes that Dr. Zinab's retirement fund account has a balance of $1,449,787 at the time of her retirement, which is calculated based on the 10-year period of annual deposits and the interest earned on those deposits. This amount can be further adjusted based on Dr. Zinab's specific retirement needs and circumstances.
To learn more about annual deposits click here : brainly.com/question/28689203
#SPJ11
Find the value of each variable
The missing sides of the special right triangles are listed below:
Case 1: y = √2 · 13, x = 13
Case 2: x = y = 15√2
Case 3: x = 6, y = 3√3
Case 4: x = 17√3, y = 17
Case 5: x = y = 10
Case 6: x = 50, y = 25
Case 7: x = y = 4√7
Case 8: x = 16√3, y = 8√3
Case 9: x = 11√3, y = 33
Case 10: x = 3√2, y = 2√6
Case 11: x = √10, y = 2√5
Case 12: x = 4√7, y = 8√21
How to find the length of missing sides
Herein we find twelve cases of special right triangles whose missing sides must be determined by using the following rules:
45 - 90 - 45 Right triangle
r = √2 · x = √2 · y
30 - 60 - 90 Right triangle
x = (1 / 2) · r
y = (√3 / 2) · r = √3 · x
Where:
x - Shortest leg.y - Longest leg. r - Hypotenuse.Case 1
y = √2 · 13
x = 13
Case 2
x = y = 15√2
Case 3
x = 3 / (1 / 2)
x = 6
y = 3√3
Case 4
x = 34 · (√3 / 2)
x = 17√3
y = 34 · (1 / 2)
y = 17
Case 5
x = y = 10
Case 6
x = 25√3 / (√3 / 2)
x = 50
y = 25√3 / √3
y = 25
Case 7
x = y = 2√14 · √2 = 2√28 = 4√7
Case 8
x = 24 / (√3 / 2)
x = 48 / √3
x = 16√3
y = 24 / √3
y = 8√3
Case 9
x = 22√3 · (1 / 2)
x = 11√3
y = 22√3 · (√3 / 2)
y = 33
Case 10
x = √18
x = 3√2
y = √6 / (1 / 2)
y = 2√6
Case 11
x = √10
y = √20
y = 2√5
Case 12
x = 4√21 / √3
x = 4√7
y = 4√21 / (1 / 2)
y = 8√21
To learn more on special right triangles: https://brainly.com/question/14373781
#SPJ1
Please I need help now
Answer:
first one is 68,328
Step-by-step explanation:
because if one liter rounded to a gallon is 4 then you gotta multiply 94.9 times 4 then multiply that by 180 us gallons then theres your answer
Please help asap i need it quick
The value of x is 21.88
What is trigonometric ratio?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
angle A is 27.2°, the opposite angle is 10 and the hypotenuse is x
therefore,
sin27.2 = 10/x
x( sin27.2) = 10
x = 10/sin27.2
x = 10/0.457
x = 21.88
Therefore the value of x is 21.88
learn more about trigonometric ratio from
https://brainly.com/question/24349828
#SPJ1
Use the formulas to find the volume of each figure. Show your work.
The volume of the cone is 7225.66 m³ and the volume of the hemisphere is 209.44 cubic feet.
From the general formula of the volume of the cone,
Volume = πr²h
in the given case,
Radius (r) = 10 m
Height (h) = 23 m
Thus, Volume = π*10²*23
Volume = 7225.66 m³
The formula for the volume of a hemisphere is:
V = (2/3) * π * r³
where π is pi (approximately 3.14159), and r is the radius of the hemisphere.
Substituting the given value of r = 10 ft, we get:
V = (2/3) * π * (10 ft)³
= (2/3) * π * 1000 ft³
= (2/3) * 314.16 ft³
≈ 209.44 ft³
Therefore, the volume of the hemisphere is approximately 209.44 cubic feet.
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ1
Hello, I’m in high school, 10th grade. And we’re learning probability for our last unit. We have a test for it on Friday, and I really need help. Can someone please help me out with this problem? I don’t understand it, and this assignment is already overdue. Please don’t troll, or I will report you. I will be giving you a good amount of brainly points.
Answer:
I can tell you the steps to find the answer.
step.1 calculate total number of squares in the given figure.
step.2 calculate total number of shaded squares.
step.3 to calculate the probability of the given event we will use P(E) = favorable outcomes / total outcomes.
Please help me!! Will give brainliest
Which statement correctly compares the centers of the distributions?
A. The median penguin heights are the same.
B. The range of penguin heights is greater at Cityview Zoo than at
Countvside Zoo.
C. The median penguin height is greater at Cityview Zoo than at
Countside Zoo
D. The median penguin height is greater at Countyside Zoo than at
Cityview Zoo
Answer: C
Step-by-step explanation:
Median is the middle number out of the distribution. Cancel out the numbers at each end of the distribution until you get the median number. You will get 42 cm for Cityview and 40 cm for Countryside, thus making C correct.
Matthew signed up for a streaming music service that costs $14 per month. The service allows Matthew to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1.50 per song. How much total money would Matthew have to pay in a month in which he downloaded 15 songs? How much would he have to pay if he downloaded s songs?
The total cost would be 14 + (1.50)s.
We have,
If Matthew downloaded 15 songs in a month, he would have to pay an additional $1.50 per song,
So his total cost for that month would be written as an expression:
Total cost = $14 + 15($1.50)
Total cost = $14 + $22.50
Total cost = $36.50
Now,
If he downloaded s songs, his total cost would be:
Total cost = $14 + s($1.50)
Thus,
The total cost would be 14 + (1.50)s.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
tre rolls two standard six-sided number cubes. how many ways can he roll a sum of 7?
There are 6 possible outcomes when rolling a single standard six-sided number cube: 1, 2, 3, 4, 5, or 6. When rolling two number cubes, the possible sums range from 2 (1+1) to 12 (6+6).
To find the number of ways to roll a sum of 7, we need to look at all the possible combinations of numbers on the two cubes that add up to 7. These are: 1+6, 2+5, 3+4, 4+3, 5+2, and 6+1. Therefore, there are 6 ways to roll a sum of 7 when rolling two standard six-sided number cubes.
To determine how many ways Tre can roll a sum of 7 using two standard six-sided number cubes, we'll consider the possible outcomes:
1. First cube shows 1, second cube shows 6 (1+6=7)
2. First cube shows 2, second cube shows 5 (2+5=7)
3. First cube shows 3, second cube shows 4 (3+4=7)
4. First cube shows 4, second cube shows 3 (4+3=7)
5. First cube shows 5, second cube shows 2 (5+2=7)
6. First cube shows 6, second cube shows 1 (6+1=7)
There are 6 different ways Tre can roll a sum of 7 using two standard six-sided number cubes.
Learn more about outcomes at: brainly.com/question/14906567
#SPJ11
ain is pouring from a chute at a rate of 8 cubic feet per min and forms a conical pile whose altitude is always twice its radius. how fast is the altitude of the pile increasing at the instant when the pile is 6 ft high?
So the altitude of the pile is increasing at a rate of 8/(45π) feet per minute when the pile is 6 feet high.
Let's call the radius of the conical pile at any given time "r" and the altitude "h". We are given that the altitude is always twice the radius, so we can write:
h = 2r
We are also given that water is pouring from a chute into the pile at a rate of 8 cubic feet per minute. The volume of a cone is given by the formula V = (1/3)πr^2h, so the rate of change of the volume of the pile is:
dV/dt = (1/3)πr^2 dh/dt + (2/3)πrh^2 dr/dt
We want to find the rate at which the altitude is increasing, so we need to solve for dh/dt when h = 6. We can also find r when h = 6 by using the equation h = 2r:
6 = 2r
r = 3
Now we can substitute the values we know into the equation for dV/dt:
8 = (1/3)π(3^2) dh/dt + (2/3)π(3)(6)^2 dr/dt
Simplifying:
8 = 9π dh/dt + 72π dr/dt
We can use the fact that h = 2r to eliminate r from this equation. Taking the derivative of both sides with respect to time:
dh/dt = 2 dr/dt
Now we can substitute this into the equation for dV/dt:
8 = 9π (2 dr/dt) + 72π dr/dt
Simplifying:
8 = 90π dr/dt
Solving for dr/dt:
dr/dt = 8/(90π) = 4/(45π)
Finally, we can use the equation h = 2r to find dh/dt:
dh/dt = 2 dr/dt = 8/(45π)
To know more about altitude,
https://brainly.com/question/28987807
#SPJ11
finish the number sequence 2, 5, 11, , 47
Answer:
2,5,11,19,29,41,47
Step-by-step explanation:
The sequence can be generated by starting with 2 and adding increasing odd numbers successively.
Starting with 2, the first odd number is 3. So, adding 3 to 2 gives 5.
The second odd number is 5. So, adding 5 to 5 gives 10. But we need to add one more to get the next odd number, which is 11. So, adding 6 to 5 gives 11.
,
The third odd number is 7. So, adding 7 to 11 gives 18. But we need to add one more to get the next odd number, which is 19. So, adding 8 to 11 gives 19.
The fourth odd number is 9. So, adding 9 to 19 gives 28. But we need to add one more to get the next odd number, which is 29. So, adding 10 to 19 gives 29.
The fifth odd number is 11. So, adding 11 to 29 gives 40. But we need to add one more to get the next odd number, which is 41. So, adding 12 to 29 gives 41.
The sixth odd number is 13. So, adding 13 to 41 gives 54. But we only need the next number in the sequence, which is 47.
Therefore, the completed sequence is 2, 5, 11, 19, 29, 41, 47.
Find the perimeter 5cm 7cm 8cm
Answer:
20cm.
Step-by-step explanation:
You have to add all the sides so 5+7+8=20 cm. I hope this helps!
Step-by-step explanation:
Perimeter is just the sum of the side lengths
(5 + 7 + 8) cm = 20 cm
