Find the arc length of AB to the nearest tenth.
90°
B
A
70 m
The arc length is
meters.
Answers
90 is a fourth of 360, so the a fourth of the total circumference is between those two radii. This means that, if you find the circumference and divide it by 4, the resulting number is that length.
Related Questions
suppose that the time required to complete a 1040r tax form is normally distributed with a mean of 100 minutes and a standard deviation of 15 minutes. what proportion of 1040r tax forms will be completed in less than 77 minutes? round your answer to at least four decimal places.
Answers
The proportion of 1040r tax forms completed in less than 77 minutes = 0.06301
How to find the proportion of the tax forms?
The time required to complete a 1040r tax form = normally distributed
Mean = \(\mu\) = 100 minutes
Standard deviation = \(\sigma\) = 15 minutes
The proportion of 1040r tax forms completed in less than 77 minutes is given by ,
P( X< 77 ) = P ( Z < \(\frac{77-100}{15}\) )
= P( Z < - 1.53 )
=0.06301
Cumulative probability in the normal distribution =0.06301 or 6.301%
What is normal distribution?
A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution.It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.The natural and social sciences frequently utilize normal distributions to describe real-valued random variables whose distributions are unknown, which is why normal distributions are essential in statistics. Not all symmetrical distributions are normal, but all normal distributions are symmetrical.Natural occurrences frequently resemble the normal distribution.A bell curve is another name for a normal distribution.To learn more about normal distribution, refer:
https://brainly.com/question/4079902
#SPJ4
Alex learned 80 new vocabulary words for his English exam. The following function gives the number of words he remembers after t days: W(t) = 80(1 - 0.1t)^3 What is the instantaneous rate of change of the number of words Alex remembers after 5 days? Choose 1 answer: A. 10 days B. 10 words per day C. -6 days D. -6 words per day
Answers
The instantaneous rate of change is -6 words per day,
the number of words Alex remembers after 5 days, option (D).
What is the instantaneous rate of change ?
An instantaneous rate is the rate at some instant in time. An instantaneous rate is a differential rate: -d[reactant]/dt or d[product]/dt. We determine an instantaneous rate at time t: by calculating the negative of the slope of the curve of concentration of a reactant versus time at time t.
Have given,
Alex learned 80 new vocabulary words
and after t days he learned,
W(t) = \(80 (1-0.1t)^{3}\)
differentiate respect of t
W'(t) = \(80 \frac{d}{dt} (1-0.1t)^{3}\)
W'(t) = \(80 * 3(1-0.1t)^{2} \frac{d}{dt}(1-0.1t)\)
W'(t) = \(240(1-0.1*5)^{2} (0.1)\)
W'(t) = 6
That's mean , the instantaneous rate of change is -6 words per day.
To learn more about instantaneous rate visit : brainly.com/question/28837697
#SPJ4
Two brothers have ages that are consecutive odd integers. The product of their ages is 38 less than the older brother's age squared. What are the ages of the two brothers?
Answers
answer = the elder bother is 17 and the younger one is 15
constructive odd integers= 15 and 17
17×15= 255
255+38 = 293
Square root of 293 = 17
Shelby found a nice 2 bedroom apartment for rent for per month What should her monthly income be to afford this apartment?
Answers
In a square PQRS, if PQ = (2x + 3) cm and QR = (3x-5)cm then the value of X is...
Answers
Answer:
⇛x=8cm.
Step-by-step explanation:
Given that
PQRS is a square and PQ = (2x+3) cm
and QR = (3x-5) cm
We know that
All sides are equal in a square .
⇛ PQ = QR = RS = PS
⇛ 2x+3 = 3x-5
⇛ 3+5 = 3x-2x
⇛ 8 = x
⇛ x = 8
Therefore, The value of x = 8 cm.
0.52k bird altitude of 550m gravitation potential energy
Answers
Therefore , the solution of the given problem of expressions comes out to be potential energy at 550 metres of altitude is roughly 2,798.46 Joules.
What does an expression actually mean?Instead of producing estimates at random, it is preferable to use expanding, decreasing, & blocking moving numbers. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. In addition to arithmetic operations like addition, negation, synthesis, and combination, a truth statement may also contain formulas, components, and notations. It is feasible to evaluate and analyse both sentences as words.
Here,
The gravitational potential energy of the bird at a height of 550m can be determined using the following formula, assuming you meant to say "0.52 kg bird" instead of "0.52k bird":
Mass times gravity times height equals gravitational potential energy.
where mass is measured in kilogrammes, gravity is the force of gravity, which accelerates objects near the Earth's surface at a rate of around 9.81 m/s2, and height is measured in metres.
Inputting the values provided yields:
The gravitational potential energy is equal to
=> 0.52 kg * 9.81 m/s2 *550 m,
=> 2,798.46 joules.
Hence, the bird's gravitational potential energy at 550 metres of altitude is roughly 2,798.46 Joules.
To know more about expressions visit :-
brainly.com/question/14083225
#SPJ1
Question 25 Given that a: b = 8:5 and b: c = 3:4, find the ratio a: b: c Give your answer in its simplest form.
Answers
Answer:
24 : 15 : 20
Step-by-step explanation:
express ratios in fractional form and express b and c in terms of a
\(\frac{a}{b}\) = \(\frac{8}{5}\) ( cross- multiply )
8b = 5a ( divide both sides by 8 )
b = \(\frac{5}{8}\) a
also
\(\frac{b}{c}\) = \(\frac{3}{4}\) ( cross- multiply )
3c = 4b ( divide both sides by 3 )
c = \(\frac{4}{3}\) b = \(\frac{4}{3}\) × \(\frac{5}{8}\) a = \(\frac{5}{6}\) a
Then
a : b : c
= a : \(\frac{5}{8}\) a : \(\frac{5}{6}\) a ( multiply each part by 24, the LCM of 8 and 6 )
= 24a : 15a : 20a ( divide each part by a )
= 24 : 15 : 20 ← in simplest form
Identify the mean, median, mode, and range of the data set. 7, 6, 8, 12, 9, 13, 8
Answers
The mean is approximately 9, the median is 9, the mode is 8, and the range is 7.
To find the mean, we add up all the numbers in the data set and divide by the total number of numbers:
Mean = (7 + 6 + 8 + 12 + 9 + 13 + 8) / 7 = 63 / 7 ≈ 9
So the mean is approximately 9.
To find the median, we need to arrange the numbers in order from smallest to largest:
6, 7, 8, 8, 9, 12, 13
Since there are an odd number of values in the data set, the median is the middle value, which is 9.
To find the mode, we need to look for the value that occurs most frequently in the data set. In this case, 8 occurs twice, which is more than any other value, so the mode is 8.
To find the range, we need to subtract the smallest value from the largest value:
Range = largest value - smallest value = 13 - 6 = 7
To learn more about median here:
https://brainly.com/question/28060453
#SPJ1
when dividend is 45324 and divisor is 5, find the quotient and remainder
Answers
Answer:
45324÷5=9064
remainder=4
Hope it helps you!!
is 3/4 less than,greater than,or equal to -1/2 ?
Answers
Answer: Greater than
3/4 greater than -1/2
3/4 > -1/2
Any positive number is always larger than any negative number
On a number line, stuff on the right side is always larger than stuff on the left side.
Answer:
it"s greater then
Over the last semester, Mr. Finch kept track of the number of student
absences, Now that the semester is over, he wants to see if there is a linear
relationship between the number of absences and a student's grade for the
semester. The data he collected are given in the table.
Answers
A scatter plot of the data is shown in the image attached below.
An equation for the least squares regression line (trend line) is y = -3.49x + 93.14
How to determine a line of best fit for the data?In order to determine a linear equation for the least squares regression line (trend line) that models the data points contained in the table (see attachment), we would have to use a scatter plot.
In this scenario, the number of absences would be plotted on the x-axis of the scatter plot while the algebra grade would be plotted on the y-axis of the scatter plot.
On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the trend line on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the number of absences and algebra grade in the table, a linear equation for the least squares regression line (trend line) in terms of the problem is given by:
y = -3.49x + 93.14
Read more on scatter plot here: brainly.com/question/28605735
#SPJ1
I dont get this question equation
y=0.5 (6) - 4
I know that 0.5 is equivalent to 1/2 but I just don’t get this question
Answers
To solve the equation, you first need to simplify 0.5(6) to get 3, since 0.5 is equivalent to 1/2 and multiplying 6 by 1/2 gives you 3. So the equation becomes:
y = 3 - 4
Next, you need to subtract 4 from 3 to get -1. So the solution to the equation is:
y = -1
Therefore, when the value of the independent variable is 6, the value of the dependent variable is -1.
Answer
\(\pink\sf{y=-1}\)
Step-by-step explanation
I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).
We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:
\(\sf{y=3-4}\)
And now we just simplify the last part:
\(\sf{y=-1}\)
∴ answer: y = -1
95 5/8 - 30 7/8=
please answer fast
Answers
Answer:
64 3/4
Step-by-step explanation:
\(\frac{765}{8}-30\frac{7}{8}\) \(\frac{765}{8} -\frac{247}{8}\) \(\frac{518}{8}\) \(\frac{259}{4}\) \(64 \frac{3}{4}\)A copper plate is in the shape of an isosceles triangle with a base of 34 inches. The perimeter of the plate is 110 inches. How long is each of the equal sides of the plate
Answers
Answer:
An isosceles triangle has 2 equal sides. If the perimeter is 110 inches, and your base is 34 inches, subtract the base from the total perimeter. 110-34= 76. If 2 sides have to be equal, the total length of the 2 sides is 76 inches, divide the 2 lengths by 2 to get the measure of each side individually. 76÷2=38.
Hence, your answer is each of the equal sides of the plate equals 38 inches.
Hope this helps!
What is the meaning of "the universal class V is a proper class"?
Answers
The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.
We have,
In set theory, a proper class is a class that is not a set.
A class is a collection of objects, and a set is a class that can be a member of other classes.
On the other hand, a proper class cannot be a member of another class.
The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.
This means that V cannot be an element of any other class or set within the context of the set theory being considered.
The concept of proper classes is used to prevent paradoxes and contradictions that can arise when unrestricted comprehension is allowed in set theory.
Thus,
The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.
Learn more about sets here:
https://brainly.com/question/8053622
#SPJ1
The Sunny Days Apartment building has a cylindrical, above ground pool in the yard. The radius of the pool is 2 times its height, and the volume is 3000 cubic feet. How deep is the pool? In other words, what is the height of the pool?
Answers
9514 1404 393
Answer:
6.2 ft
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr²h
Here, we have r=2h and V=3000 ft³. Putting these numbers into the formula and solving for h, we get ...
3000 ft³ = π(2h)²h
(3000 ft³)/(4π) = h³ . . . . . divide by the coefficient of h³
h = ∛(750/π) ft ≈ 6.2 ft
The pool is about 6.2 feet deep.
The ratio of girls to boys in a chess club was 2 : 3. There was 32 girls. How many boys were there in the club
Answers
48 boys
The ratio of boys to girls must be 2/3, so
2/3 = 32/x
2x = 96
x = 48
Find the slope from the graph below
Answers
Answer: y2-y1/x2-x1=-1-3/3-3=-4/0=undefined.
Step-by-step explanation:
2y=6x+8 y=3x+1 Are the lines parallel and solve the equations
Answers
The lines are not parallel and the slope of the lines is 3 and intercept is 1
How do we know if two equation lines are parallel?Two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.
In the two equations
2y = 6x+ 3
divide both sides by 2
y = 3x+1
This means that the slope of the line is 3.
And also in equation y = 3x+1. The slope of the line here is also 3.
Though both lines have the same slope but they have thesame y-intercept which is 1. Therefore the two lines are not parallel.
The slope of the equations is 3 and the intercept is 1
learn more about parallel line equation from
https://brainly.com/question/13763238
#SPJ1
The volume of a tree stump can be modeled by considering it as a right cylinder. Lauren measures it’s height as 0.7ft and it’s radius as 20in find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary
Answers
The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h
Given:
Radius (r) = 20 inches
Height (h) = 0.7 feet
First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:
Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches
Now, we can substitute the values into the volume formula:
Volume = π * (20 inches)^2 * 8.4 inches
Calculating the volume:
Volume = 3.14159 * (20 inches)^2 * 8.4 inches
≈ 3.14159 * 400 inches^2 * 8.4 inches
≈ 1005.3096 cubic inches
Rounding the volume to the nearest tenth:
Volume ≈ 1005.3 cubic inches
Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
for such more question on volume
https://brainly.com/question/6204273
#SPJ8
Help please
Driving on the highway, you can safely drive 70 miles per hour. Which of the following functions could be used to find how far you can drive in ‘h’ hours?
A.) D= 70/h. B.) D=70h. C.)h/70. D.)70+h
Answers
Answer:
B
Step-by-step explanation:
Explanation because that’s the answer
how do I find b of the traingal
Answers
Answer:
Pythagorean Theorum:
16ft
Step-by-step explanation:
pythagorean theorum states a^2+b^2=c^2
it only works for right triangles, c is the hypotenuse, a and b are the legs
so to find b we plug in the info we have!
7.8^2+b^2=17.8^2
next we simplify:
60.84+b^2= 316.84
subtract 60.84 from both sides to isolate the variable:
b^2=256
square root both sides
b=16
16ft is the answer
I hope this helps!
Parallel to the graph of x + y = 6 and passing through the point at (4, 3)
Answers
The equation of line that passes through (4,3) and is parallel to x + y = 6 is y = -x + 7.
What is the equation of line that passes through the given point and is parallel to x + y = 6?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the original line
x + y = 6
y = -x + 6
Using the slope intercept, slope m is -1
The equation of a parallel line to y = -x + 6 must have a slope similar to the original slope.
Slope of parallel line = -1
Plug the slope m = -1 and point (4,3) into point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
( y - 3 ) = -1( x - 4 )
y - 3 = -x + 4
y = -x + 4 + 3
y = -x + 7
Therefore, the equation of the parallel line is y = -x + 7.
Learn more about equation of line here: brainly.com/question/2564656
#SPJ1
Plsss I need help it’s due today at 2:00 I’ll reward brainiest it’s super easy
Answers
Answer:
1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
2/3 * 1/2 = 1/3
What is the value of x?
URGENT
Answers
Answer:
14
Step-by-step explanation:
angle 90° is opposite the side x. angle 45° is opposite side 7√2.
x/sin 90 = (7√2)/sin 45
multiply both sides by sin 90 (sin 90 is = 1).
x = (7√2)/sin 45
= 14
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?
Answers
Answer:
Yep pretty much
Step-by-step explanation:
Step-by-step explanation: let the number be x, then the difference of x and 6 is x - 6 and 5 times the sum of x and 2 is 5 (x + 2) Equate both expressions 5 (x + 2) = x - 6
Answer = - 4 → A
Part 1: 12% annual interest on 132000 for 8 days
Part 2: 12% annual interest on 106,750 for 20 days.
If it helps, it's a 5 year note. Assuming 365 days in a year.
Answers
The interest for Part 1 is approximately $385.10.
The interest for Part 2 is approximately $709.31.
To calculate the interest for Part 1 and Part 2The formula is as follows:
Interest is calculated as follows: Principal * Rate * Time
Where
Principal represents the starting sumThe interest rate is rateTime measures length in years.Part 1:
$132,000 is the principal.
(Decimal) Rate = 12% = 0.12
Time = 8 days/365 days.
How much interest is there in Part 1?
Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10
Therefore, the interest for Part 1 is approximately $385.10.
Part 2:
$106,750 as the principal
(Decimal) Rate = 12% = 0.12
Time = 20 days / 365 days.
How much interest will there be in Part 2
Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31
Therefore, the interest for Part 2 is approximately $709.31.
Learn more about annual interest here : brainly.com/question/15728540
#SPJ1
A bee flies at 6 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 11 minutes, and then flies directly back to the hive at 4 feet per second. It is away from the hive for a total of 13 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
a. Write the equation. Let d be the distance of the flowerbed from the hive.
select:
(Type an equation. Use integers or fractions for any numbers in the equation. Do not simplify.)
Answers
Answer:
(6)11-(4)/13
Step-by-step explanation:
which of the following expresses the coordinates of the foci of the comic section shown below
Answers
This represents an ellipse, the foci can be calculated as follows:
\(\begin{gathered} f=(h\pm c,k) \\ where: \\ h=-2 \\ k=1 \\ c=\sqrt{b^2-a^2} \\ c=\sqrt{49-25} \\ c=\sqrt{24}=2\sqrt{6} \\ Therefore: \\ f=(-2\pm2\sqrt{6},1) \end{gathered}\)Answer:
B
Mr. Anderson decides to visit a childhood friend. His car gives him 24.82 miles to the gallon. Mr. Anderson has 4 gallons of fuel. Which of the following is true?
A.
Mr. Anderson can travel 83.28 miles.
B.
Mr. Anderson can travel 49.64 miles.
C.
Mr. Anderson can travel 115.28 miles.
D.
Mr. Anderson can travel 99.28 miles.
Answers
Answer:
D. Mr. Anderson can travel 99.28 miles.
Step-by-step explanation:
If Mr. Anderson has 4 gallons and each gallon moves him 24.82 miles you can multiply the number of miles per gallon by the gallon resulting in an equation that looks like 4*24.82=99.28.