What is the measure, in degrees, of the acute angle formed by the hour hand and the minute hand of a 12-hour clock at 6:48

Answer:

A) is 29.76 B) IS $54

Step-by-step explanation:

you have to times 24 x 24% = 5.76 then you add 24 + 5.76 =29.76

The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

Learn more about integral here: brainly.com/question/18125359

#SPJ11

Answer:

Pentagon

Step-by-step explanation:

Hope this helps!! :D

Answer: 15

Step-by-step explanation:

Answer:

9H879UIU789U78HT5H7YUIY6IKT5HY78UYJ

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

432/8=54

For the lengths of the triangle, what is true and false is;

1.  YES  2. NO  3. YES  4. YES  5. NO  6. NO  7. NO  8. YES  9. YES

10. YES (if x, y > 0 and the sum of any two sides is greater than the third side)

To determine if a set of three side lengths can form a triangle, they have to fulfil the Triangle Inequality Theorem.

The theorem says that the sum of the lengths of any two sides must be greater than the length of the remaining side.

a. 12, 11, 10

11+10 > 12, 12+10 > 11, and 12+11 > 10

b. 3, 7, 10

3+7 > 10, but 3+10 < 7 and 7+10 < 3.

c. 2+3 > 4, 2+4 > 3, and 3+4 > 2.

d. 4, 6, 7

4+6 > 7, 4+7 > 6, and 6+7 > 4

e. 3, 2, 1

3+2 > 1, but 3+1 < 2 and 2+1 < 3

Find more exercises on lengths of triangle;

https://brainly.com/question/29609563

#SPJ1

AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides of given triangle.

What is triangle?

A triangle is a two-dimensional geometric shape that has three sides, three angles, and three vertices. It is one of the simplest polygonal shapes and is commonly studied in geometry.

Since we have:

∠A ≅ ∠Y

∠B ≅ ∠X

∠C ≅ ∠Z

We can conclude that the two triangles ABC and XYZ are similar by the Angle-Angle (AA) similarity theorem.

Therefore, the corresponding sides of the two triangles are proportional to each other. We can write this as:

AB : YX = BC : XZ = AC : YZ

where AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides.

In other words, the ratio of the length of each side in triangle ABC to the corresponding side in triangle XYZ is constant.

To learn more about triangle visit:

https://brainly.com/question/1058720

#SPJ9

Answer: >

Step-by-step explanation: 3/5 is equal to .6 and .5 is smaller than .6

Answer:

see explanation

Step-by-step explanation:

1

substitute t = - 6 into h(t)

h(- 6) = 3(- 6) - 2 = - 18 - 2 = - 20

2

substitute a = 6 into g(a)

g(6) = - 4(6) - 2 = - 24 - 2 = - 26

3

substitute a = - 3 into w(a)

w(- 3) = (- 3)² + 5(- 3) = 9 - 15 = - 6

4

substitute n = - x into h(n)

h(- x) = 2(- x) - 4 = - 2x + 4

5

substitute a = a - 3 into k(a)

k(a - 3) = 3(a - 3) - 2 = 3a - 9 - 2 = 3a - 11

Answer:

75

Step-by-step explanation:

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Consider ΔKML and ΔRTL, we get

RL/KL =15/(15+9)

= 15/24

= 5/8

TL/ML =12.5/(12.5+7.5)

= 12.5/20

= 5/8

Here, RL/KL=TL/ML

Here, ∠KLM≅∠RLT

By SAS similarity, ΔKML and ΔRTL are similar triangles

So, ∠KMT≅∠RTL

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ1

Answer:

a

Step-by-step explanation:

got it right in edmentum

Answer:

8

Step-by-step explanation:

Answer:

50.2

Step-by-step explanation:

The equation to find the area of a circle is \(a=\pi r^{2}\).

First, substitute your numbers in place of the variable:

\(A=\pi 4^{2}\)

Next, square the radius:

\(A=\pi 16\)

Then, multiply it out to get:

A=50.24

Then, pick the closest answer which is 50.2

Expression for the area of the poster is written as the sum of the areas of each color section is  3a + a + 3/2 +1/2

Area of purple = length × width

length = 3

width = a

Area of purple =3a

Area of red = length × width

length = 1

width = a

Area of red =a

Area of green = length × width

length = 3

width = 1/2

Area of green =3/2

Area of yellow = length × width

length = 1

width = 1/2

Area of yellow =1/2

Total area = 3a + a+ 3/2 + 1/2

To know more about expression click here :

https://brainly.com/question/15034631

#SPJ1

The question is incomplete the complete question is:

Which expression for the area of the poster is written as the sum of the areas of each color section

Answer: 58%

Step-by-step explanation:

Answer:

58%

Step-by-step explanation:

If 1468 weren't in favor of the new park, then 3462-1468=1996 people were in favor of the new park. This means the percentage of those who are in favor of the park is 1996/3462=0.5765=57.65%=58%

Area Principle. In a statistical display, each data value should be represented by the same amount of area. Bar chart (Relative Frequency Bar Chart)

Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

Learn more about bar chart here

https://brainly.com/question/24741444

#SPJ4

Add all the numbers together to find your answer.

___________________________________________

Answer:

100 im pretty sure because 10 x 10 = 100

The task described involves the use of selective attention.

The task described, where Fred is asked to keep his eyes fixed on a cross in the middle of the screen and press a button when a word appears in place of the cross, requires the utilization of selective attention. Selective attention refers to the cognitive process of focusing on specific stimuli while ignoring others. In this case, Fred needs to selectively attend to the appearance of a word while disregarding other visual stimuli on the screen.

Selective attention allows individuals to filter and prioritize relevant information from the environment while minimizing distractions. By keeping his eyes fixed on the cross and waiting for the appearance of a word, Fred is engaging in a form of visual selective attention. This task requires him to direct his attention to a specific location on the screen and monitor it for the presence of the target stimulus (the word).

Selective attention plays a crucial role in everyday tasks, as it helps individuals allocate their cognitive resources efficiently. By focusing on relevant stimuli and filtering out distractions, selective attention enables individuals to process information more effectively and respond appropriately to specific cues or events.

Learn more about selective attention here:

https://brainly.com/question/4122584

#SPJ11

A leaf plot, also known as a stem-and-leaf plot, is a way of displaying numerical data by separating each value into a "stem" and "leaf" and organizing them in a table for easy analysis.

To find the value of the 18th percentile for this data set, we need to first determine how many scores fall below that percentile.

Since there are 31 scores in total, the 18th percentile would correspond to the score at the 0.18(31) = 5.58th position when the scores are listed in ascending order. However, since we are given a stem-and-leaf plot rather than the raw data, we need to estimate the position of the 18th percentile based on the plot.

Looking at the plot, we can see that there are a total of 31 scores, with 12 of them falling in the range from 120 to 139 (inclusive) and 9 of them falling in the range from 140 to 159 (inclusive). This means that the 18th percentile must be somewhere in the first group of scores.

To estimate the exact position, we can use the fact that the 12 scores in the first group represent 12/31 = 0.3871 (rounded to 4 decimal places) of the total number of scores. To find the position of the 18th percentile within that group, we can multiply that fraction by the number of scores in that group:

0.3871 x 12 = 4.6452 (rounded to 4 decimal places)

So the 18th percentile falls somewhere between the 4th and 5th scores in the first group. Looking at the stem-and-leaf plot, we can see that the 4th score is 127 and the 5th score is 133.

Therefore, the value of the 18th percentile for this data set is between 127 and 133.5 (since we know it falls between the 4th and 5th scores in the first group, and there is a gap of 0.5 between adjacent scores).

The answer choices given are 152, 133, 127, and 133.5. Of these, the only one that falls within the range we just determined is 133. Therefore, the answer is:
O 133

To know more about leaf plot visit:

https://brainly.com/question/12857419

#SPJ11

Answer:  Dilated and then translated

Step-by-step explanation:

Answer:

dilated and then translated

Step-by-step explanation:

Rectangle A has been enlarged (dilated) and then translated up and to the right.

The true statements are (A) 30×400 ml equal the total number of milliliters for 30 bowls of soup

(B) 30 bowls of soup hold 12,000 ml, which is same as 12 Litres

(C) Noah can multiply the number of bowls of soup by 1,000 to find the number of litres

(D) If each family member has 2 bowls of soup , Noah need to make 24 litres of soup

There are 30 people and each person is served soup in a 400 ml bowl, so the total amount of soup needed is 30 × 400 ml = 12,000 ml.

Option A is true

30 bowls of soup hold 30 × 400 ml = 12,000 ml, which is the same as 12 litres (since 1 litre = 1,000 ml).

Option B is true

Since 1 litre = 1,000 ml

Noah can multiply the number of bowls of soup by 1,000 to find the number of litres.

For example, 30 bowls of soup hold 12,000 ml = 12 litres.

Option C is true

If each family member has 2 bowls of soup, then the total amount of soup needed is

30 × 2 × 400 ml

= 24,000 ml, which is 24 litres (since 1 litre = 1,000 ml).

Option D is true.

Noah needs to make 24 litres of soup, and each pot contains 6 litres of soup.

Therefore, he would need to make 24 ÷ 6 = 4 pots of soup to serve each family member 2 bowls of soup.

Option E is false.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Noah is making soup for a family reunion of 30 people. Each pot he makes contains 6 liters of soup. He uses bowl that 400mL to serve the soup to his family

Select all the true statements

(A) 30×400 ml equal the total number of milliliters for 30 bowls of soup

(B) 30 bowls of soup hold 12,000 ml, which is same as 12 Litres

(C) Noah can multiply the number of bowls of soup by 1,000 to find the number of litres

(D) If each family member has 2 bowls of soup , Noah need to make 24 litres of soup

(E) Noah would need to make 2 pots of soup for each family member to have 2 bowls of soup

a) The probability that the score of a person more than 125 is 0.0478

b)  The probability that the score of a person between 90 and 110 is  0.4972

Let us assume that  X be a random variable that represents a random person's IQ

here the mean (μ) = 100 and standard deviation (σ) = 15

a) To find: the Probability that the score of a person more than 125

P(X > 125)

= 1 - P(X ≤ 125)

= 0.0478

b)  the probability that the score of a person between 90 and 110

P(90 ≤ X ≤ 110)

= P(X ≤ 110) - P(X ≤ 90)

= P(\(\frac{X-100}{15}\) ≤ \(\frac{110-100}{15}\)) - P(\(\frac{X-100}{15}\) ≤ \(\frac{90-100}{15}\))

= 0.4972

Learn more about the probability here:

brainly.com/question/15124899

#SPJ4

The complete question is:

A randomly chosen IQ test taker obtains a score that is approximately a normal random variable with mean 100 and standard deviation 15. What is the probability that the score of such a person is (a) more than 125; (b) between 90 and 110?

A check or quadrangle is defined by the intersection of pairs of diagonals of a parallelogram.

A parallelogram is a quadrilateral with two pairs of parallel sides. In a parallelogram, the opposite sides are parallel and have the same length. The opposite angles of a parallelogram are equal. A parallelogram is a unique type of quadrilateral with specific characteristics.

A quadrangle or check is defined as the intersection of pairs of diagonals of a parallelogram. In other words, it is the area inside the parallelogram that is divided into four triangles, each of which shares a common vertex in the center of the parallelogram.

The diagonals of a parallelogram are the line segments that connect the opposite vertices of a parallelogram. When these diagonals intersect, they form four triangles, which are also known as the parallelogram's "sub-triangles." The point where the diagonals intersect is called the center of the parallelogram, and it divides each diagonal into two equal parts.

To know more about parallelogram refer here:

https://brainly.com/question/1563728#

#SPJ11

Answer:

4xy+24y^2−7x−38y−7

Step-by-step explanation:

(-7+4y) (6y+x+1)

-7*6y= -42y

-7*x= -7x

-7*1= -7

4y*6y= 24y²

4y*x= 4yx

4x*1= 4y

Add them up

Answer:

6(x +8)

Step-by-step explanation:

Factorising:

6x + 48

Take 6 as common, Therefore:

6(x +8)

Because:

6 * x = 6x

6 * 8 = 48

therefore:

6x + 48 = 6(x + 8)

Hope it helped!!!

Taking into account the definition of a system of linear equations, the amount of adult tickets sold is 356 and the amount of child tickets sold is 144.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

The maximum capacity for seating in a theater is 500 people. If they sold out on a certain showtime, this is represented by x+y=500.

On the other side, the theater sells two types of tickets, adult tickets for $7.25 each and child tickets for $4 each and the made a total of $3,157. This is represented by 7.25x +4y=3157.

So, the system of equations to be solved is

\(\left \{ {{x+y=500} \atop {7.25x+4y=3157}} \right.\)

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable x from the first equation you get:

x=500 - y

Substituting this expression in the second equation you get:

7.25× (500 -y) +4y=3157

7.25×500 - 7.25y +4y=3157

3625 - 7.25y +4y=3157

- 7.25y +4y=3157 -3625

-3.25y= -468

y= (-468)÷ (-3.25)

y= 144

Substituting this value in the expression x=500 - y you get:

x=500 - 144

x=356

Remembering that "x" is the amount of adult tickets sold and "y" is the amount of child tickets sold, you get that the amount of adult tickets sold is 356 and the amount of child tickets sold is 144.

Learn more about system of equations:

brainly.com/question/14323743

brainly.com/question/1365672

brainly.com/question/20533585

brainly.com/question/20379472

a. Jump with a bobbing motion: Shortest jump  b. Jump from deep knee flexion: Intermediate jump

c. Jump with fully extended knees: Longest jump ,In the long jump activity, three different jumping techniques were observed:

a) The bobbing motion involved bending and extending the knees and arms during the jump.

b) Starting from deep knee flexion meant initiating the jump from a position with knees bent and no motion prior to the jump.

c) Starting with fully extended knees involved jumping with the knees straight and no motion before the jump. During the performance, the lengths of each jump were measured. Trial results consistently indicated that the jump with the bobbing motion had the shortest length, while the jump starting from deep knee flexion had an intermediate length. The jump with fully extended knees consistently achieved the longest distance.

The observations reveal that starting the jump with fully extended knees and no knee motion results in the longest jump. The bobbing motion with knee and arm movements leads to the shortest jump. Deep knee flexion position falls between the two in terms of jump length.

To know more about bobbing visit:

https://brainly.com/question/32261353

#SPJ11

Answer:

(-2,4)

Explanation:

Given the inequality:

The solution set is graphed on the number line below: