At what time between 2 pm to 3 pm is the first right angle formed by hands of the clock.
Answers
At 2:27pm, between 2 pm to 3 pm is the first right angle formed by hands of the clock.
Total degree in a click which is shaped like a circle: 360°
The number of degrees a minute hand will cover- 360 / 60 = 6°
The minutes the hands cover when right angle 90/ 6 = 15
This means when the hands are at a ninety-degree angle they are 15 minutes apart.
The number of degrees covered by the hour hand in an hour:
= 360 / 12
= 30°
The number of degrees covered by the hour hand in a minute:
= 360 / 12 × 60
= 0.5°
We have to start at 2:00, the time when the minute hand is at 0 degrees and the hour hand is at (360)*2/12 = 60 degrees.
We must find the time T it takes for the hour hand of the clock to move to an angle A(hour) at the same time that the minute hand is at an angle of
A(hour) + 90.
The minute hand rotates at 360 degree per hour
= (360 degree)/60 minutes
= 6 degree/minute
=0.1 s
The hour hand moves at 1/12th the speed of the second hand, so its rotational rate is
= 0.5 degrees/minute.
= 0.0083 degree/second)
So the angle A(minute) of the minute hand at any time t [ sec] will be A(m)
= 0.1 t.
The angle of the hour hand will be A(hour) = 60 + 0.0083 t.
60 degrees is added as the hour hand has a “head start” of 60 degrees at 2:00.
Now the task is to find the time t at which
A(m) = A(h) + 90
0.1 t = 60 + 0.0083 t + 90
This solves to give us the answer
= 1635.8 s
=27.26 m
= 27 min 15.6 sec
So the hour and minute hands will form a right angle at 2:27 pm
(2 hours 27 minutes 15.6 seconds)
Therefore the correct answer is 2:27 pm.
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Related Questions
help me please!!!!!!!
Answers
Answer have two are more cars 150 and 38 not homeowmers
Step-by-step explanation:
Calculate the value of tan75 without using a calculator
Answers
The value of tan 75 without using calculator is
What are special angles in trigonometry?The special angles used in trigonometry are 0°, 30°, 45°, 60° and 90°. These are the common angles which are used while performing computations of trigonometric problems.
Tan 75 = tan(45+30)
Tan(A+B) = tan A +tanB)/ 1-tanAtanB
therefore tan75 = tan45 + tan30)/1-tan 45 tan 30
= 1+1/√3)/1-√3
= √3+1)/1-√3
using rationalization
√3+1)/1-√3 )×1-√3/1-√3
= 3+1 +2√2)/3-1
= 4+2√2)/2
= 2+√2
therefore the value of tan 45 = 2+√2
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download the document below and complete the proof of the triangle sum theorem. once completed, save the file for upload at the bottom of this page.
Answers
The request is to download a document and complete the proof of the Triangle Sum Theorem. After finishing the proof, the completed file should be saved for upload on a webpage.
The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always equal to 180 degrees. To complete the proof, it is necessary to provide a logical and coherent argument that supports this theorem. The document provided likely contains a partially completed proof, and the task is to finish it.
The proof of the Triangle Sum Theorem typically involves using the properties of parallel lines and alternate interior angles. By extending one side of the triangle, parallel lines can be created that intersect with the other sides. This forms interior and exterior angles that can be related to the interior angles of the triangle. Through geometric reasoning and the use of angle relationships, the proof should demonstrate that the sum of the interior angles of a triangle equals 180 degrees.
Once the proof is completed, the document should be saved for upload on the webpage specified, most likely for evaluation or further review. It is important to follow any instructions provided regarding the file format or naming conventions for the upload.
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Macy wants to know if the number of words on a page in her grammar book is generally more than the number of words on a page in her math book. She takes a random sample of 25 pages in each book, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book. MeanMedianMean Absolute DeviationGrammar49.7418.4Math34.5441.9 She claims that because the mean number of words on each page in the grammar book is greater than the mean number of words on each page in the math book, the grammar book has more words per page. Based on the data, is this a valid inference? (1 point) a No, because there is a lot of variability in the grammar book data. b Yes, because there is a lot of variability in the grammar book data. c Yes, because the mean is larger in the grammar book. d No, because the mean is larger in the grammar book.
Answers
The higher Variability in the math book data, it is not a valid inference to conclude that the grammar book has more words per page solely based on the mean comparison.
Based on the given information, the valid inference would be:
d) No, because the mean is larger in the grammar book.
The mean number of words per page in the grammar book is 49.7, while the mean number of words per page in the math book is 34.5. Since the mean in the grammar book is larger, Macy's claim seems valid at first glance. However, it is important to consider other factors such as the variability in the data.
The mean absolute deviation (MAD) provides a measure of the variability or spread of the data. In this case, the MAD for the grammar book is 18.4, while the MAD for the math book is 41.9. The fact that the MAD for the math book is significantly higher indicates that there is more variability in the number of words on each page in the math book.
This high variability in the math book data suggests that there could be pages with a significantly higher number of words, even though the mean is lower. On the other hand, the lower MAD for the grammar book suggests that the number of words per page in the grammar book is more consistent.
Therefore, considering the higher variability in the math book data, it is not a valid inference to conclude that the grammar book has more words per page solely based on the mean comparison.
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Simplify each expression. Type your answer into the box. (8 – 4)2 x |4 – 8| =
Answers
Answer:
-32
Step-by-step explanation:
First you have to solve the numbers in the parenthesis which would be (8-4)= 4 then there is a 2 that you have to multiply which would be 4x2=8, then you have to solve the other parenthesis (4-8)=-4 so then you end up with 8x-4 which equals -32
Answer:
-8
Step-by-step explanation:
What graph represents the function f(x) = |x+3|?
Answers
Answer:
no sé xdxd espero te ayude xd
Answer:
The graph should go left 3 not right 3.
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. What is the probability you will choose 5 and an even number? You have 7 tiles in total
Answers
The correct answer = 1 /14
Answer:
The answer is 1/14
Traveling carnivals move from town to town, staying for a limited number of days before moving to the next stop. The management of a certain carnival knows that each
time it opens in a new town, it can expect to bring in about $15,000 in revenue the first night. Each night after the first revenue will be about 75% of the previous night's
revenue.
To the nearest dollar, about how much revenue can the carnival anticipate on its 5th night in town?
Answers
Answer: 4746.09375 dollars (just round down to nine cents)
Step-by-step explanation:
The revenue in the 5th night in two will be $4746.093.
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
Revenue in the first night = $15000
Since revenue of new night is 75% of the previous night
So,
2nd night = 15000 × 75/100 = 11250
3rd night = 8437.5
So the given sequence is ;
15000, 11250, 8437.5 ... it is a GP series.
First term(a) = 15000
Common ratio(r) = 11250/15000 = 0.75
The nth term of a GP is given by ;
\(a_{n} = ar^{n-1}\)
So for 5th-night n = 5
So,
a₅ = ar⁵⁻¹
a₅ = 15000(0.75)⁴
a₅ = 4746.093
Hence "The revenue in the 5th night in two will be $4746.093".
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Gina reads 120 pages in 4 days. Which reading rate is equivalent?
1: 74 pages in 3 days
2: 60 pages in 2 days
3: 105 pages in 5 days
4:80 pages in 3 days
Answers
Answer:
60
Step-by-step explanation:
she read 60 pages in just 2 days
i need help with this ;n;
Answers
HELP!!! I WILL MARK BRAINLEST!
Answers
Answer:
the second one three over two
Step-by-step explanation:
because the decimal version of that is 1.5
A fair coin is flipped 3 times and a random variable X is defined to be 3 times the number of heads minus 2 times the number of tails. Find the probability mass function of X. (Write it in table format).
Answers
The probability mass function of X( -3, -1, 1 ,3) is P(X) 1/8 3/8 3/8 1/8.
A fair coin is flipped 3 times and the random variable X is defined as follows:
X = 3 times the number of heads - 2 times the number of tails
To find the probability mass function of X, we can list all the possible outcomes and calculate their probabilities.
The Possible outcomes are as shown:
3 heads (X = 3)
2 heads, 1 tail (X = 1)
1 head, 2 tails (X = -1)
3 tails (X = -3)
And the Probabilities are:
P(X = 3) = 1/8
P(X = 1) = 3/8
P(X = -1) = 3/8
P(X = -3) = 1/8
Therefore, the probability mass function of X is:
X( -3, -1, 1 ,3) is P(X) 1/8 3/8 3/8 1/8
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Calculate the volume of each solid. Use 3.14 for pi. Round answers to the nearest whole number.
Answers
Answer:
See below.
Step-by-step explanation:
Rectangle Volume = Length x Width x Height
Rectangle Volume = 15 x 6 x 8
Rectangle Volume = 720 in^2
Cube volume = s^3
Cube volume = 9^3
Cube volume = 729
Cylinder Volume = \(\pi\)r^2h
Cylinder Volume = \(\pi\)4^214
Cylinder Volume = \(\pi\)1614
Cylinder Volume = \(224\pi\)
Answer
720, 729, 703
Step-by-step explanation:
your welcome
The rectangular floor of a classroom is 28 feet in length and 38 feet in width. A scale drawing of the floor has a length of 14 inches. What is the area, in square inches, of the floor in the scale drawing?
Answers
The area of the floor of the scale drawing and the scale factor are 72 in² and 1/2 respectively.
Actual Length = 28 feets
Actual width = 38 feets
Model width = 14 inches
The scale factor = 14/28 =1/2
The length of the model can be calculated thus :
Actual Length × scale factor
Model width = 38 × 1/2= 19 inches
The Area of a rectangle can be calculated using the relation :
Area = Length × width
Area of floor = 19 inches × 14 inches = 266 inch²
Therefore, the area of the floor of the scale drawing is 266 in²
What is area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.To learn more about area refer to:
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2x-3y 2 12
Line: Solid or Dashed?
Shade: Above or Below?
Are these points solution: (0,2)
(-2,-2)
Answers
For the given inequality: 2x - 3y ≥ 12.
m = 2
b = -4
Line: Solid
Shade: Below
(0, 2) is not the solution for the given inequality.
(3, 4) is the solution for the given inequality.
(-2, -2) is not the solution for the given inequality.
What is linear inequality?
An inequality is a mathematical statement comparing two values or expressions, usually involving one of the following relational operators: < (less than), > (greater than), <= (less than or equal to), >= (greater than or equal to), or != (not equal to). The solution to inequality is a set of values that make the inequality true.
The given inequality, 2x-3y>=12, is a linear inequality in two variables. The slope of the line represented by this inequality is the coefficient of x, which is 2. The y-intercept of the line is not explicitly given in the inequality, but we can find it by setting x = 0 and solve for y.
To find the y-intercept, we set x = 0 and substitute it into the inequality:
2(0) - 3y >= 12
-3y >= 12
y <= -4
and by observing the graph, we can say that
Line: Solid
Shade: Below
(0, 2) is not the solution for the given inequality.
(3, 4) is the solution for the given inequality.
(-2, -2) is not the solution for the given inequality.
Hence,
For the given inequality: 2x - 3y ≥ 12.
m = 2
b = -4
Line: Solid
Shade: Below
(0, 2) is not the solution for the given inequality.
(3, 4) is the solution for the given inequality.
(-2, -2) is not the solution for the given inequality.
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pleaseeeeee helppppp, ill give you brainley i promise
Answers
What is the solution to the system of equations y =- 3x 2 5x 2y 15?
Answers
The solution for the system of equations is (-19,55).
As given the equations in the question
y = –3x – 2
Simplify the above
y + 3x = -2
5x + 2y = 15
Multiply y + 3x = -2 by 2 and subtracted from 5x + 2y = 15.
2y - 2y + 5x -6x = 15 + 4
-x = 19
x = -19
Putting the value of x in the equation y + 3x = -2.
y + 3 × - 19 = -2
y - 57 = -2
y = -2 + 57
y = 55
Therefore the solution for a system of equations is (-19,55).
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Which of the following will result in a rational number? Select all that apply.
A. 645+9√4
B. 645−5√7
C. 645×9√4
D. 645÷5√7
help me please
Answers
Answer:
B. 645−5√7
Correct me if iam wrong
i’m pretty sure
A peach orchard owner wants to maximize the amount of peaches produced by his orchard.
He cannot simply plant as many trees as he can, since planting more trees will decrease the amount of fruit that each tree produces (the yield of each tree).
He has found that the per-tree yield can be described by the equation
Y = 1200 - 15 x.
Here Y is the yield per tree and x is the number of trees planted per acre.
For example, if there were 10 trees planted per acre, each tree would produce 1200 - 15 * 10 = 1050 peaches.
Find the number of trees per acre that should be planted in order to produce the maximum crop and the resulting total yield.
Number of trees per acre : trees per acre
Total yield : peaches per acre
Answers
To maximize the amount of peaches produced by the orchard, the peach orchard owner should plant a certain number of trees per acre. The per-tree yield is given by the equation Y = 1200 - 15x, where Y represents the yield per tree and x represents the number of trees planted per acre.
To find the number of trees per acre that maximizes the crop yield, we need to determine the value of x that corresponds to the vertex of the equation. The vertex of a downward-opening parabola, represented by the given equation, occurs at the x-coordinate given by x = -b / (2a).
In this case, the coefficient of x is -15 and the constant term is 0, so b = 0 and a = -15. Substituting these values into the formula, we get x = -0 / (2 * -15) = 0.
While the mathematical calculation suggests that planting zero trees per acre would maximize the yield, this result is not practical. Therefore, the closest feasible value greater than zero would be 1 tree per acre.
For 1 tree per acre, substituting x = 1 into the equation, we find that each tree would produce a yield of Y = 1200 - 15 * 1 = 1185 peaches. Consequently, the resulting total yield would be 1185 peaches per acre.
Number of trees per acre: 1 tree per acre
Total yield: 1185 peaches per acre
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A cylinder has a diameter of 16 feet
and a height of 5 feet. What is the
volume of the cylinder??
Answers
Answer:
V = 1,005.31ft³
Step-by-step explanation:
V = \(\pi\)\((\frac{d}{2} )^{2}\)h
V = \(\pi\)\((\frac{16}{2} )^{2}\)(5)
V = 1,005.30965ft³
Step-by-step explanation:
diameter is 16 feet
height is 5 feet
For you to find the volume you have to know the
formula for finding it
the formula is πr^2h
π=22/7,
r=radius=16/2=8
h=height=5
πr^2h
22/7 x 8^2 x 5
22/7 x 64 x 5
22/7 x 320
=1005.71 feet^3
4 mm
What is the surface area of this cube?
A. 16 mm2
B. 48 mm
C. 64 mm
D. 96 mm
Answers
Answer:
It is surely 16mm2, because a cube is always two-dimensional.
Step-by-step explanation:
This means that it has to be a value with mm2!
Hope I helped!
Answer:
calculate the value of × if :
72:64=×:16
Find the distance between the points (-3, 2) and (4, -5). √10 7√2 2√2
Answers
Answer:
Step-by-step explanation:
Use distance formula
\(d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\)
d = sqrt of (4--3)^2 + (-5-2)^2
D^2 = 7^2 + 7^2
D^2 = 49 +49
D^2 = 98
D = \(7\sqrt{2} \\\)
Hoped this helped :)
Is 707 greater or less than 6391÷10 9/7
Answers
Answer: yes
Step-by-step explanation:
When drawing a histogram, which is a good number of categories to include on your x axis?
Answers
Usually, six to twelve equally wide categories are a decent number to use when trying to understand how the data is distributed for drawing a histogram.
One common graphing tool is the histogram. It is employed to present interval-scaled summaries of discrete or continuous data. It is frequently used to conveniently depict the main characteristics of the data distribution.
A histogram is a graphic representation of data that uses bars of various heights. Each bar in a histogram divides numbers into ranges. More data falls inside that range, as shown by taller bars. The form and distribution of continuous sample data are shown in a histogram.
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1.The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair and \$7,100is collected. How many adults and how many children were at the fair?
Answers
Answer:
568 ADULTS
284 CHILDREN
Step-by-step explanation:
5C+10A=7100
A=2C
5C +10(2C)=7100
5C+20C=7100
25C=7100
C=284
A=2C
A=568
BRAINLIEST???
Three teachers buy prizes to put in the prize bin at school. Mrs. Maiers spends $7.68 on stickers. Mr. Lang spends $11.52 on balloons. Mrs. Connor spends $17.64 on pencils.
Answers
Answer: $12.28
Step-by-step explanation:
Here's the complete question:
Three teachers bought prizes to put in a bin at school. Mrs. Maier spent $7.68 on stickers. Mr. Lang spent $11.52 on balloons. Mrs. Connor spent $17.64 on pencils. The teachers divided the cost evenly. How much did each teacher pay?
Cost of stickers = $7.68
Cost of balloons = $11.52
Cost of pencils = $17.64
Total spent = $7.68 + $11.52 + $17.64 = $36.84
The amount that each teacher will pay when the total cost is evenly shared will be:
= $36.84 / 3
= $12.28
I really need help for this question
Answers
A line has a slope 2/3 and a y- intercept -2 witch answer is the equation of the line
Answers
Answer:
y = 2/3x - 2
Step-by-step explanation:
I'm pretty sure this is asking about the slope intercept form, since you didn't give us the actual answers. If not, comment below. Slope intercept form follows the y = mx + b form, where m is the slope and b is the y-intercept. By plugging your givens in, you get y = 2/3x - 2
explain the difference between a stratified sample and a cluster sample. (select all that apply.) in a stratified sample, the clusters to be included are selected at random and then all members of each selected cluster are included.
Answers
The required points on difference between a stratified sample and a cluster sample are explained.
How we go through the difference between a stratified sample and a cluster sample?In a stratified sample the populace is partitioned into various portions and afterward we take irregular components from each section.
In a group test, the example is separated into sections (or bunches) and afterward the example is taken by choosing different clusters.
Consequently, in the group test we take ALL components from various bunches while in a separated example we take A few components from the various segments.
According to question:In a group test, the main examples conceivable are those including each kth thing from the irregular beginning position: Bogus. In the group test we select all things from the bunch.In a group test, each example of size n has an equivalent possibility being incorporated: Valid. in the event that we partition the example into groups of size n, each bunch has an equivalent possibility being chosen (since we select them at irregular).In a separated example, irregular examples from every layers are incorporated: Valid. We previously said that we take an irregular example from each fragment (layers).In a separated example, the main examples conceivable are those including each kth thing from the irregular beginning position: Misleading. We can apply various strategies to choose our example from every layers.In a bunch test, the groups to be incorporated are chosen indiscriminately and afterward all individuals from each chose group are incorporated. Valid. This is the meaning of bunch test we composed from the beginning.In a delineated example, each example of size n has an equivalent possibility being incorporated: Valid, we take tests from components, not from stratas.In a bunch test, irregular examples from every layers are incorporated: Bogus. This is the meaning of separated example.In a separated example, the bunches to be incorporated are chosen aimlessly and afterward all individuals from each chose group are incorporated: Bogus. This is the meaning of bunch test.To know more about stratified sample and a cluster sample visit:
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DUE TODAY NEED HELP WELL WRITTEN ANSWERS ONLY!!!!!!!!!!!!
Based on surveys of random samples from students at a university, the proportion of university students interested in a new chain restaurant opening on their campus is 0.62 with a standard deviation of 0.04. Which of these intervals is the smallest that likely contain 95% of the sample proportions?
a
0.31 to 0.93
b
0.54 to 0.70
c
0.58 to 0.66
d
0.60 to 0.64
Answers
Answer:
the answer is b: 0.54 to 0.70
Step-by-step explanation:
1-98%=0.05
0.05÷2=0.025
p(z<1.96)=0.975
m=0.62
o=0.0
The smallest interval that likely contain 95% of the sample proportions is 0.54 to 0.70.
Given that,
Based on surveys of random samples from students at a university, the proportion of university students interested in a new chain restaurant opening on their campus is 0.62 with a standard deviation of 0.04.
So, we have,
Mean, μ = 0.62
Standard deviation, σ = 0.04
z score for 95% interval = 1.96
Interval of students who are likely contain 95% of the sample proportions is μ ± z σ, which is confidence interval.
Substituting, Interval is,
(0.62 ± (1.96 × 0.04))
= (0.62 ± 0.0784)
= (0.5416, 0.6984)
≈ (0.54, 0.70)
Hence the correct option is b.
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