How many degrees are in the acute angle formed by the hands of a clock at 3:30?
Answers
The acute angle formed by the hands of a clock at 3:30 is 75 degrees. An acute angle is an angle that measures less than 90 degrees, and in this case, the hour hand is pointing at the 3, which is a 90-degree angle from the 12, while the minute hand is pointing at the 6, which is a 180-degree angle from the 12.
Find the number of degrees in the acute angle formed by the hands of a clock at 3:30, follow these steps:
Determine the position of the hour hand. At 3:30, the hour hand is halfway between 3 and 4, so it's at 3.5 hours. Convert this to degrees by multiplying by 30 (since there are 360 degrees in a circle and 12 hours on a clock, each hour represents 30 degrees).
So, the hour hand is at 3.5 x 30 = 105 degrees.
Determine the position of the minute hand. At 3:30, the minute hand is on 6, which is 180 degrees around the clock.
Find the difference between the two positions.
Subtract the smaller angle from the larger angle: 180 - 105 = 75 degrees.
The acute angle formed by the hands of a clock at 3:30 is 75 degrees.
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Related Questions
Simplify by combining like terms: 5x + 3x + 10x
Answers
Answer:
answer is 8x+10x
18x
is the answer
example 2 major premise: no dogmatists are scholars who encourage free thinking. minor premise: some theologians are scholars who encourage free thinking. conclusion: some theologians are not dogmatists. the major premise in example 2 is an proposition. the minor premise in example 2 is an proposition. the conclusion in example 2 is an proposition. therefore, the mood of the categorical syllogism in example 2 is .
Answers
The mood of the categorical syllogism in example 2 is AIO.
In your example, we have the following premises and conclusion:
1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.
The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).
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The product of two consecutive integers is 272. Which quadratic equation can be used to find x, the smaller number?
x2 + 1 = 272
x2 − 1 = 272
x2 + x − 272 = 0
x2 + x + 272 = 0
Answers
The smaller number is -17, and the quadratic equation that can be used to find it is\(x^2 + x - 272 = 0.\)
The correct answer would be \(x^2 + x - 272 = 0.\)
To find the quadratic equation that can be used to find the smaller number, we can set up the equation using the given information. Let's assume that the smaller number is x.
Since the product of two consecutive integers is 272, we can express this as an equation: x(x + 1) = 272.
Expanding the equation, we have:
\(x^2 + x = 272.\)
To find the quadratic equation, we need to rearrange the equation in the standard form, which is\(ax^2 + bx + c = 0\). In this case, we have:
\(x^2 + x - 272 = 0.\)
Therefore, the correct quadratic equation that can be used to find the smaller number is\(x^2 + x - 272 = 0.\)
This equation can be solved by factoring, completing the square, or using the quadratic formula. Factoring may not be straightforward in this case since 272 does not have obvious factors, so let's use the quadratic formula to find the solutions.
The quadratic formula states that for an equation of the form \(ax^2 + bx + c = 0\), the solutions for x can be found using the formula:
x = (-b ± √\(\sqrt{(b^2 - 4ac)}\)) / (2a).
For the equation\(x^2 + x - 272 = 0,\)we have a = 1, b = 1, and c = -272. Substituting these values into the quadratic formula, we get:
x = (-(1) ± \(\sqrt{((1)^2 - 4(1)(-272))) / (2(1)).}\)
Simplifying further, we have:
x = (-1 ±\(\sqrt{ (1 + 1088)) / 2.}\)
x = (-1 ± \(\sqrt{1089)}\) / 2.
Since we are looking for the smaller number, we take the negative square root:
x = (-1 -\(\sqrt{ 1089}\)) / 2
Calculating the value, we have:
x = (-1 - 33) / 2.
x = -34 / 2.
x = -17.
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Find the equation of the line that passes through (-5,3) and (1,1)
Answers
The equation of the line that passes through (-5,3) and (1,1) is y = (-1/3)x + 3.
To find the equation of the line that passes through the given points, we need to use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.
First, we need to find the slope of the line. The slope formula is:
m = (y₂ - y₁) / (x₂ - x₁)
Plugging in the given points, we get:
m = (1 - 3) / (1 - (-5))
m = (-2) / (6)
m = -1/3
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line. The point-slope form is:
y - y₁ = m(x - x₁)
Plugging in the slope and one of the given points, we get:
y - 3 = (-1/3)(x - (-5))
y - 3 = (-1/3)(x + 5)
y - 3 = (-1/3)x - (5/3)
y = (-1/3)x + (9/3)
y = (-1/3)x + 3
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The PTA at Middletown High School is having its annual dinner and auction to raise money for music and art programs. Last year, the event raised $20,800. This year, it raised $31,408. What is the percent of increase in the amount raised?
Answers
Answer:
51%
Step-by-step explanation:
31,408-20,800=10,608÷20,800=0.51×100=51.
You subtract the retail price from the original and you divide the number you get by the original price and then times the number by a hundred.
3. Convert 3.4 miles to yards.
53,856 yards
5984 yards
1553 yards
O 1760 yards
Answers
Answer:
5894
Step-by-step explanation:
1 mile is 1760
so multiply 1760 by 3.4
1 point
Carla needs to purchase carpet for her living room (see diagram below).
What is the area of Carla's living room? Answer without units. *
6 ft.
17 ft.
12 ft.
5 ft.
10 ft.
HELPPP PLEASEEE
Answers
Together, this two sections would equal 92ft^2. 42ft + 50ft = 92ft.
a committee will be formed with 4 managers and 4 engineers selected randomly without replacement from 11 managers and 16 engineers. what is the probab
Answers
The probability that engineer Jane or manager Mary is on the committee will be 1/11 formed with 4 managers and 4 engineers selected randomly without replacement from 11 managers and 16 engineers.
The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.
Probability = Expected/Total outcome
If 4 managers were randomly selected from 11 managers, the probability will be 4/11.
If 4 engineers were randomly selected from 16 engineers, the probability will be 4/16.
The probability that engineer Jane or manager Mary is on the committee will be -
= 4/11 * 4/16
= 1/11
Therefore, the probability is 1/11.
The given question is incomplete, the given question is given below :
A committee will be formed with 4 managers and 4 engineers selected randomly without replacement from 11 managers and 16 engineers. What is the probability that engineer Jane or manager Mary is on the committee?
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Prove that cot 4x (sin 5x + sin 3x) = cot x (sin 5x – sin 3x).
Answers
..........................
.........
.....
....
Select the formula for the xth term of the sequence.
3, 11, 19,
Answers
Answer:
8n - 15
Step-by-step explanation:
for finding the nth term we need to figure out the difference between the numbers:
3,11,19 = difference of 8
multiples of 8:
8,16,24,32,40...
the nth term would be 8n - 5 because in order to get to 3 from 8, we minus 5
look yall i got 10 math questions if you get all ten right brainlliest so if yall could help a man out here it would be great
here they are
1.)Which of the following best describes the squaring property of equality?
A.
if a=b,then \(a^{2} =b^{2}\)
B
if \(a\leq b then a^{2} \leq b^{2}\)
C
\(if a\geq b then a^{2} \geq b^{2}\)
D
\(if a \neq b then a^{2} \neq b^{2}\)
2.)Solve for x.
\(\sqrt{x-2} =9\)
A.
11
B.
20
C.
83
D
no solution
3.)The length of a side of a square is \(\sqrt{x^{2}-4 }\) If the area of the square is 12, find x.
A.
16
B.
4
C.
12
D.
\(\sqrt{148}\)
4).Solve for x.
\(5x^{2} +3=-122\)
A.
no solution
B.
–5
C.
±5
D.
±25
5.)solve for x\(x^{2} +5=30\)
A.
±25
B.
\(\sqrt{35}\)
C.
±5
D.
no real solutions
6.)The acceleration of an object can be described by the equation\(a=\frac{2d}{t²} where a is acceleration, d is the distance, and t is time. Suppose an object accelerates for a distance of 15 meters. Which of the following equations relates the time to the acceleration?
A.
\(t=\sqrt{\frac{a}{30} }\)
B.
\(t=\sqrt{\frac{a}{15} }\)
C.
\(t=\sqrt{\frac{30}{a} }\)
D.
\(t=2\sqrt{\frac{30}{a} }\)
7.)The acceleration of an object can be described by the equation \(a=\sqrt{\frac{2d}{t²} }\) , where a is acceleration, d is the distance, and t is time. Suppose an object accelerates at a rate of 5 meters per second squared. Which of the following equations relates the time of the acceleration to the distance?
A.
\(t=\sqrt{10d}\)
B.
\(t=\sqrt{2d}\)
C.
\(t=\sqrt{\frac{5d}{2} }\)
D.
\(t=\sqrt{\frac{2d}{5} }\)
8.)Solve for x \(\sqrt{2x+8}=2\)
A.
2
B.
–3
C.
–2
D.
no solution
9.)Solve for x:\(\sqrt{3x-2}=2\)
A.
2
B.
\(-\frac{2}{3}\)
C.
–2
D.
no solution
10.)What is the first step to solve the equation \(x^{2} -3=15\)
A.
Take the square root of \(x^{2}\), 3, and 15.
B.
Square 15.
C.
Add 3 to both sides of the equation.
D.
Add 1 to both sides of the equation.
can yall help a brother out im in deep sh|t if i dont pass so if your gunna do it do it right thank yall for helpen me out oh and i already tried to look em up so that dont work
Answers
Answer:
number 2. is A I think number 8. is -2 or 2 it might be between those two
Step-by-step explanation:
2.explanation: 11-2=9
sorry but that's all i know i'm only in middle school
Answer:
number 2. is A I think number 8. is -2 or 2 it might be between those two
2.explanation: 11-2=9
Step-by-step explanation:
Which expression is equivalent to 2x4×−3x2?
Answers
Answer:
2(4x-3)
Step-by-step explanation:
The ______ is the essential geometric form in the construction and support of a geodesic dome. multiple choice question. hexagon triangle rhombus circle
Answers
The triangle is the essential geometric form in the construction and support of a geodesic dome.
A geodesic dome is a spherical structure like a round tent that is formed by the simultaneous placements of triangular structures one along the other. The triangles are placed in such a way it seems that rhombuses are placed one after the other.
They are lightweight, and a layer of canvas or transparent material is placed over the structure to make it water-proof.
It was first created by the American designer Richard Buckminster Fuller in the 20th century.
Although these homes save energy and give a perfect place to live in nature, they can also pose some issues like the placement of the chimney, creating rooms within the dome, leakage in the roof, and so on.
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the length of a rectangle is 3n+ 2 and its width is n-1. The perimeter of the rectangle is twice the sum of its length and its width.
Write an expression that represents the perimeter of the rectangle.
Answers
Combine the length and width (4n+1) and then multiply by 2
Which expressions can be used to find the volume of the pyramid? Select three choices
Answers
The correct answer regarding the volume of the pyramid has been explained and given below.
The volume of the pyramid shape is given by the product of its base area and its height and then the product is divided by 3.
i.e.V = (1/3)a²h
So, the options which are correct are, (a) XY and ST , (b) VU and TW and (d) TX and WX.
From the given figure we can clearly see that,
a=XY=YZ=ZU=UV=VW=WX
h=ST
Firstly, the volume of the pyramid can be easily determined by XY and ST.
and also, VU and WX can be used to calculate the area of the base and YZ and TX can be used to calculate height.
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Which of the following is the most reasonable estimate for the number of Calories in one serving of milk. servings of milk:5 and calories:430
Answers
Answer:
86 calories per serving
Step-by-step explanation:
430/5 =86
Does there exist an 8 x 8 matrix A = (a) satisfying the following three conditions? (i) If i j then a = 0 (ii) a18 #0 (a18 denotes the entry in the first row and eighth column of A) (iii) A is diagonalizable If such a matrix exists, provide an example of one and prove that it satisfies the given three conditions. If no such matrix exists, prove that no such matrix exists
Answers
We need to determine whether an 8x8 matrix A exists that satisfies three conditions:
(i) having zeros below the main diagonal,
(ii) having a non-zero entry in the first row and eighth column, denoted as a18
(iii) being diagonalizable. In the second paragraph.
we will either provide an example of such a matrix and prove that it satisfies the conditions, or prove that no such matrix exists.
To provide an example of an 8x8 matrix A that satisfies the given conditions, we need to construct a matrix that satisfies each condition individually.
Condition (i) requires that all entries below the main diagonal of A are zero. This condition can easily be satisfied by constructing a matrix with zeros in the appropriate positions.
Condition (ii) states that a18, the entry in the first row and eighth column, must be non-zero. By assigning a non-zero value to this entry, we can fulfill this condition.
Condition (iii) requires that the matrix A is diagonalizable. This condition means that A must have a complete set of linearly independent eigenvectors. If we can find eigenvectors corresponding to distinct eigenvalues that span the entire 8-dimensional space, then A is diagonalizable.
If we are able to construct such a matrix that satisfies all three conditions, we can provide it as an example and prove that it fulfills the given conditions. However, if it is not possible to construct such a matrix, we can prove that no such matrix exists by showing that the conditions are mutually exclusive and cannot be satisfied simultaneously.
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Solve the equation by factoring
2x^2=3x+2
Answers
Answer:
the correct answer would be x = -1/2 , 2
Step-by-step explanation:
hope this helps
Answer:
2x^2=3x+2
-3x
2x^2-3x=+2
-2
2x^2-3x-2 = 0
-2 x 2 = - 4
X to get - 4
Adds to get - 3
-4x1
-4 +1 = - 3
2x^2-4x + 1x -2
2x(x - 2) 1 (x-2)
(2x+1)(x-2)
(2x+1) =0
+1
2x = 1
÷2
x= 1/2 or 0.5
(x-2) = 0
+2
x = 2
x = 2 & x = 1/2
Hope this helps!
the probability wine will be ordered at a table in a restaurant is 0.35. the probability dessert will be ordered at a table in a restaurant is 0.55. assume whether a table orders wine is independent of whether the table orders dessert. what is the probability a table orders wine or the table orders dessert?
Answers
The probability that a table orders wine or dessert is 0.7075, or approximately 70.75%.
What is probability?
Probability is a measure or quantification of the likelihood or chance of an event occurring. It is a way to express how probable or likely an event is to happen, ranging from 0 (impossible) to 1 (certain).
What is Principle of inclusion-exclusion?
The principle of inclusion-exclusion is a fundamental concept in combinatorics and probability theory. It provides a method to count or calculate the probability of the union of multiple events.
The principle states that for any finite set of events, the probability of their union is equal to the sum of their individual probabilities minus the sum of the probabilities of their intersections.
To find the probability that a table orders wine or dessert, we can use the principle of inclusion-exclusion.
The probability of a table ordering wine is 0.35, and the probability of a table ordering dessert is 0.55. Since the events of ordering wine and ordering dessert are independent, we can calculate the probability of both events occurring by multiplying their individual probabilities:
P(wine) = 0.35
P(dessert) = 0.55
P(wine and dessert) = P(wine) * P(dessert) = 0.35 * 0.55 = 0.1925
Now, to find the probability of a table ordering wine or dessert, we need to consider the sum of the probabilities of ordering wine and dessert minus the probability of both events occurring:
P(wine or dessert) = P(wine) + P(dessert) - P(wine and dessert)
= 0.35 + 0.55 - 0.1925
= 0.7075
Therefore, the probability that a table orders wine or dessert is 0.7075, or approximately 70.75%.
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a child enters a carousel that takes one minute to revolve once around. the child enters at the point (0,1) , that is, on the due north position. assume the carousel revolves counterclockwise. what are the coordinates of the child after 30 seconds?
Answers
the coordinates of the child after 30 seconds are (0,-1). A carousel is a rotating platform that can be found in amusement parks or other recreational areas. When a child enters a carousel, the position of the child changes as the carousel revolves.
To determine the position of a child on a carousel, it is necessary to consider the speed and direction of the rotation, as well as the starting point of the child.
If a carousel takes one minute to revolve once around and the child enters at the point (0,1) on the due north position,
after 30 seconds the child will have rotated 30/60 = 1/2 of the way around the carousel.
Since the carousel revolves counterclockwise, the child's new position can be found by rotating the starting position (0,1) by 1/2 of a full revolution,
which is equal to 180 degrees.
The rotation can be performed using trigonometric functions, such as sine and cosine. The coordinates of the child after 30 seconds would be (-sin(180), cos(180)) = (0,-1).
This means that the child would be located on the due south position, which is the opposite direction from their starting position on the due north position.
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36 inches in 3 feet
rate=____ unit rate ___
Answers
Answer:
Rate: 36:3
Unit Rate: 12:1
Step-by-step explanation:
What is the missing lenght of X and Y?
Answers
Answer:
D. x = 2, y = 2
An airplane is traveling at 400 miles per hour. Which equation can be used to find the
total distance the plane will travel in h hours?
Answers
Answer:
400h=mi
Step-by-step explanation: 400 hours = miles which is an equation above.
Points that are on the same line are collinear. Use the definition of slope to determine whether the given points are collinear.
(-2,6),(0,2),(1,0)
Answers
Using the definition of slope, the points (-2 , 6), (0 , 2), and (1 , 0) are collinear.
Three or more points are said to be collinear if they lie on a single straight line.
To determine whether the given points are collinear, use the definition of slope. The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.
m = (y2 - y1)/(x2 - x1)
Getting the slope of each pair of points:
(-2 , 6) and (0 , 2)
m = (y2 - y1)/(x2 - x1)
m = (2 - 6)/(0 - -2)
m = -4/2
m = -2
(0 , 2), and (1 , 0)
m = (y2 - y1)/(x2 - x1)
m = (0 - 2)/(1 - 0)
m = -2/1
m = -2
(-2 , 6) and (1 , 0)
m = (y2 - y1)/(x2 - x1)
m = (0 - 6)/(1 - -2)
m = -6/3
m = -2
Since collinear points lies on the same line, the slope of any pair of points should be the same. Since the slopes of each pair of points is equal with each other, then they are collinear.
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Given that P(A) = 0.33, P(B) = 0.16, and P(A and B) = 0.0297, are events A and B independent?
a. Yes, they are independent
b. No, they are not independent
Answers
P(A) * P(B) is not equal to P(A and B), we can conclude that events A and B are not independent.
To determine whether events A and B are independent, we need to compare the product of their individual probabilities (P(A) * P(B)) with the probability of their intersection (P(A and B)).
If P(A) * P(B) = P(A and B), then the events are independent. Otherwise, they are dependent.
In this case, we have:
P(A) = 0.33
P(B) = 0.16
P(A and B) = 0.0297
Calculating P(A) * P(B) = 0.33 * 0.16 = 0.0528
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rs 80,000 is invested at the rate of 6 percent p.a . find the interest at the end of one year
Answers
Answer:
$4800
Step-by-step explanation:
80000×.06=4800 6 percent is written as .06
PLEASE help me...! I am really stuck on this question.
Answers
Answer:
D
Step-by-step explanation:
the domain of 3^x is (-∞,∞) and the range is (0,∞)
the domain of 3^x-5 is (-∞,∞) and the range is (-5,∞)
the domain doesn't change, the range (-5,∞)
simplify - 8t + 3r - 7t - 9r
Answers
Answer:
15t+12r
Step-by-step explanation:
you have to do like term like -8t and-7t that is like term so the next like term is 3r and -9r
Help me please answer thanks
Answers
Suppose the supply and demand equations for a product are given by: p²+4q = 253 183 p² + 6q0 - Find the equilibrium point, and enter it as a point. Equilibrium Quantity: q = Equilibrium Price: p =
Answers
The equilibrium point for the supply and demand equations p² + 4q = 253 and 183p² + 6q = 0 is (q, p) = (3, 10).
To find the equilibrium point, we need to solve the system of equations formed by the supply and demand equations. By substituting the value of q = 3 into the first equation, we get p² + 4(3) = 253, which simplifies to p² + 12 = 253.
Solving this equation gives us p = 10. Substituting the values of q = 3 and p = 10 into the second equation, we get 183(10)² + 6(3) = 0, which simplifies to 18300 + 18 = 0.
Since this equation holds true, we have found the equilibrium point to be (q, p) = (3, 10), where the equilibrium quantity is q = 3 and the equilibrium price is p = 10.
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