4 divided by 1/2

need explanation to pls

The measure of the missing side is 8. The solution is obtained by applying the Pythagoras theorem.

What is Pythagoras theorem?

The hypotenuse side of a right-angled triangle's square is equal to the sum of the squares of its other two sides, according to the Pythagorean Theorem.

In the question, we are given a right - angled triangle with the hypotenuse measuring 17 and the base measuring 15.

So, by applying the Pythagoras theorem, we get

⇒H² = P² + B²

⇒17² = P² + 15²

⇒P² = 17² - 15²

⇒P² = 289 - 225

⇒P² = 64

⇒P = √64

⇒P = 8

Hence, the measure of the missing side is 8.

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If Billy, who works 6 hours per day and is paid overtime at time and a half, works 7 hours one day, he earns $72.00.

The total earnings for the day by Billy is the addition of the normal earnings and the overtime earnings.

Overtime rates are based on a time and a half, which is 150% of the normal hourly rate of pay.

Normal hourly rate of pay = $9.60

Normal day work hours = 6 hours

The number of hours worked for the day = 7 hours

Overtime hours for the day = 1 hour (7 - 6)

Overtime rate = $14.40 ($9.60 x 1.5)

Normal earnings for the day = $57.60 ($9.60 x 6)

Overtime earnings for the day = $14.40 ($14.40 x 1)

Total earnings for the day = $72.00 ($57.60 + $14.40)

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Answer:

2.4

Step-by-step explanation:

101/2m=120

m=120(2/101)

m=2.4

The graph of f(x) = x√3 has been transformed to obtain the graph of g(x) = -12x - 9 - √3. We need to determine which transformations have been applied to the original graph.

To identify the transformations, let's compare the given equation g(x) = -12x - 9 - √3 with the original equation f(x) = x√3.

1. Horizontal Reflection (Reflection across the y-axis):

The negative coefficient in front of x (-12x) in g(x) indicates a horizontal reflection compared to the original graph. This means the graph of g(x) is a mirror image of the graph of f(x) across the y-axis.

2. Vertical Translation (Shift downward):

The constant term in g(x) (-9 - √3) indicates a vertical translation downward compared to the original graph. This means the graph of g(x) is shifted vertically downwards by 9 + √3 units.

Therefore, the correct transformations applied to the graph of f(x) = x√3 to obtain the graph of g(x) = -12x - 9 - √3 are a horizontal reflection across the y-axis and a vertical translation downward.

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Answer: the answer would be 0.305

The measure of the angles A and B are 55 and 70 respectively.

According to the triangle's "angle sum property," the sum of its interior angles is 180°. The total of the angles of a triangle, whether acute, obtuse, or right, is always 180°. The following is a representation of this: A + B + C Equals 180° in an ABC triangle.

By angle - sum property,

We know that the sum of the triangle is 180°

⇒  ∠A + ∠B + ∠C = 180

⇒   11x + 14x + 55 = 180

⇒   25x + 55 = 180

⇒   25x = 180 - 55

⇒   x = 125/25 = 5

x = 5

The measure of ∠A will be - 11x = 11× 5 = 55°

The measure of ∠B will be - 14x = 14×5 = 70°

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Answer:

D. 8/15

Step-by-step explanation:

13/23 = .565217

11/20 = .55

9/17 = .52941176

8/15 = .53333333

Finding the area under a curve using technology requires knowledge of calculus or a graphing calculator with a built-in integral function.

We can use either method to find the area between the edge of the garden bed and the side of the house.

To find the area between the edge of the garden bed and the side of the house, we need to integrate the function that represents the distance between the two. In this case, the distance between the edge of the garden bed and the side of the house is given by the equation y = x + 1.

To integrate this function, we can use calculus or a graphing calculator with a built-in integral function. Calculus involves finding the antiderivative of the function, while a graphing calculator can use numerical methods to approximate the integral.

If using a graphing calculator, we can graph the function y = x + 1 and then use the integral function to find the area between the curve and the x-axis. The result will be the area between the edge of the garden bed and the side of the house, which can be used to calculate the amount of mulch needed for the job.

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Answer:

Petter Sydow : A producer of division.

Step-by-step explanation:

Answer: Johann Heinrich Rahn

It was introduced by the Swiss mathematician, Johann Heinrich Rahn, in his work Teutsche Algebra (1659). This symbol was not much of a success in his home country of Switzerland or in Europe. But however, it was in both the Britain and also the USA.

Answer:

side A should be about 44cm

Answer:

This question is asking you to write the algebraic expression for "five times the sum of a number and 8).  Basically it is saying take a number (x) and add 8 to it. When we add, the answer is the sum.  

So the first part of the expression is (x + 8)

Then multiply that sum by 5

So our answer is 5(x+8)

Answer:

The cost for one pound would be 3.8

Step-by-step explanation:

if you do 19divided by 5 you get 3.8

HUNTER X HUNTER

wrong ANIME gtg

Answer:

the temperature at 11:30 plus 30 minutes (i.e., 11:30 plus half an hour) will be the same as the temperature at 11:30, which is 2°C.

The dimensions of the room will be 12m x 6m.

So, now calculate the dimensions of the room as follows:

Solve as shown:

Therefore, 12m x 6m will be the dimensions of the room.

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The inference procedure for each is give below-

A. The inference procedure: Confidence Interval - One mean, μ.

C. The inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

E. The inference procedure: Confidence Interval - One proportion, p.

G. The inference procedure: Confidence Interval - Difference in proportions from two separate samples, M1-M2

I. The Inference procedure: Hypothesis test - Difference in means from two independent samples.

K. The Inference procedure: Hypothesis test - Paired means, HD.

B. The Inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

D. The Inference procedure: Hypothesis test - One mean, μ.

F. Inference procedure: Confidence Interval - Paired means, HD.

H. Inference procedure: Hypothesis test - One proportion, p.

J. Inference procedure: Confidence Interval - Difference in means from two independent samples.

L. It doesn't directly involve inference.

Now we have-

A. What's the average number of free throws for the Warriors to attempt during a game?

Distribution type: z

C. Do the Warriors make more free throws (on average) during games at home than on the road?

Simulation type: BT (bootstrap)

Distribution type: z

E. What proportion of free throw attempts do the Warrior players make?

Simulation type: BT (bootstrap)

Distribution type: z

G. How much better (or worse) are the Warriors at making free throw attempts compared to their opponents?

Simulation type: BT (bootstrap)

Distribution type: z

I. Is the mean number of free throw attempts awarded to the Warriors during their games different from the mean number attempted by their opponents?

Distribution type: z

K. (Challenge) On average, is the point spread when GSWarriors win larger than the point spread when they lose?

Simulation type: BT (bootstrap)

Distribution type: z

B. Is the proportion of free throws made by the Warriors different between games they play at home and those they play on the road?

Simulation type: BT (bootstrap)

Distribution type: z

D. Over the past 10 years, NBA teams have averaged close to 25 free throw attempts per game. Treating this as the population mean, is the mean number of free throw attempts by the Warriors much different?

Simulation type: BT (bootstrap)

Distribution type: z

F. How many more (or fewer) free throw attempts do the Warriors take on average for home games compared to road games?

Simulation type: BT (bootstrap)

Distribution type: z

H. Players in the NBA as a whole make about 75.6% of their free throws. Is the proportion made by the Warriors different from this?

Simulation type: BT (bootstrap)

Distribution type: z

J. How does the average number of free throws made (per game) by the Warriors compare to their opponents?

Distribution type: z

L. (Extra) On average, what is the point spread in GS Warrior games? (where "+" means they won; "-"means they lost)

This case doesn't directly involve inference.  As it requires calculating the average point spread, but it doesn't involve making statistical inferences about a population parameter.

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Answer:

125

Step-by-step explanation:

\(a = \frac{1}{2} \times 90 \degree \\ \\ a = 45 \degree \\ \\ b =\frac{1}{2} (360\degree - 200\degree) \\ \\ b = 80\degree \\ \\

a + b = 45 + 80 \\ \\ a + b = 125 \degree\)

Answer:

2.3inches

Step-by-step explanation:

Survey result;

a. Number of friends who like both football and cricket:

Denoted as |F ∩ C|

b. Number of friends who do not like either football or cricket:

Denoted as |(F ∪ C)'|

c. Number of friends who like only one game:

Denoted as |(F ∪ C) \ (F ∩ C)|

Let's denote the set of friends who like football as F, and the set of friends who like cricket as C.

Based on the survey data, the results for the given categories can be tabulated as follows:

a. Number of friends who like both football and cricket: This can be determined by finding the intersection of the sets representing football and cricket preferences. Count the individuals who indicated they enjoy both games.

b. Number of friends who do not like either football or cricket: This can be determined by finding the complement of the union of the sets representing football and cricket preferences. Count the individuals who indicated they do not have a preference for either game.

c. Number of friends who like only one game: This can be determined by finding the difference between the sets representing football and cricket preferences. Count the individuals who indicated they have a preference for either football or cricket but not both.

By collecting the data from the survey, count the number of friends falling into each category and tabulate the results based on the above cardinality relations.

 Complete question should be In a survey conducted in a locality, data was collected about the preferences of friends regarding football, cricket, and both games. The results are as follows:

a. Determine the number of friends who like both football and cricket.

b. Calculate the number of friends who do not like either football or cricket.

c. Find the number of friends who like only one game.

Using the cardinality relation of two sets, tabulate the results for the given categories.

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The number of  ways that he can make the fruit salad if it must contain watermelon is 35.

Selection of the one object from the given samples with replacement or without replacement is called as the permutation. The selection of the items from the sample as they are different with each other.

The salad contains water melon, now we have to select 4 more fruits out of 7.

Using combination

\(^{n{C}_r\) = n! / r! (n-r)!

\(^{7}C_4\) = 7!/ 4! (7-4)!

      = 7*6*5*4! / 4! * 3*2

      = 35

Hence,  number of ways that he can make the fruit salad if it must contain watermelon is 35.

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Answer: 35 on edge got it right

Step-by-step explanation:

The initial amount of oats that Stefan had was 4 1/2 cups

He made granola bars with 3 1/4 cups.

Therefore, after that there was 4 1/2 - 3 1/4 = (4 - 3) (1/2 - 1/4) = 1 1/4 cups left.

Answer:

d. V = 668.2 ft³

Step-by-step explanation:

\(V = \frac{1}{2}bhl\\V = \frac{1}{2}(8.6)(8.4)(18.5)\\V = 668.2ft^{3}\)

Answer:

\(\boxed {\boxed {\sf D. \ V \approx 668.2 \ ft^3}}\)

Step-by-step explanation:

The volume of a triangular prism is found using this formula:

\(V=\frac{1}{2} bhl\)

For this prism, the base is 8.6 feet, the height is 8.4 feet, and the length is 18.5 feet.

\(b= 8.6 \ ft \\h= 8.4 \ ft \\l= 18.5 \ ft\)

Substitute the values into the formula.

\(V= \frac{1}{2} (8.6 \ ft) (8.4 \ ft) ( 18.5 \ ft)\)

Multiply the first two numbers in parentheses.

\(V= \frac{1}{2} (72.24 \ ft^2) ( 18.5 \ ft)\)

Multiply again.

\(V= \frac{ 1}{2} (1336.44 \ ft^3)\)

Multiply by 1/2 or divide by 2.

\(V= 668.22 \ ft^3\)

Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 2 in the tenth place.

\(V \approx 668.2 \ ft^3\)

The volume is about 668.2 cubic feet.

Answer:

226.19

Step-by-step explanation:

V=π•r^2•h

V=π•3^2•8

v=72π

V=226.19

The length of the QR is 16 cm when PQR ~MNO

In the given question, it is given that two similar triangles as PQR ~MNO

Then, the corresponding sides will be in equal proportion to each other as follows

PQ / MN = PR / MO = QR / NO

We need to find the length of the side QR

As above relations are given,

\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)

\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)

Equating all the fractions, equal to each we'll find

\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)

5x + 7 = 3(x +5)

5x + 7 = 3x + 15

2x = 8

x = 4

We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm

Therefore, the length of the QR is 16 cm when PQR ~MNO

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Answer:

Step-by-step explanation:

Less than 1/3/5

- 1/3/5*1/3

- 3/4*1/3/5

Greater than 1/3/5

- 1/2/3*1/3/5

- 1/3/5*1/1/4

The correct option is C: A number less than or equal to 3 will add one point and A.4 will lose two points.

Given the spinner below in which all regions are equal, which of the following point scales would result in a favorable game

Therefore a spinner is divided into 4 equal sections.

A favorable game is one in which, loosely speaking, there are opportunities for favorable bets.

each section is a different color and is labeled 1 through 4.

red is 1; 2 is blue; 3 is green; 4 is yellow.

The odd-numbered regions will add one point.

The even-numbered regions lose one point.

red will add one point.

any other color will lose one point. a number less than or equal to 3 will add one point.

Therefore the option a and c is correct

C: A number less than or equal to 3 will add one point.

A.4 will lose two points.

Edge

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Answer:

A number less than or equal to 3 will add one point.

A 4 will lose two points.

Step-by-step explanation:

The answer above is correct.

The annual profit in 2004 was $48,000.

Let's assume the annual profit in 2004 is denoted by P.

According to the given conditions:

1. If the annual profit is $14,000 or lower:

  Albert's share = 30% of P

2. If the annual profit is higher than $14,000:

  Albert's share = $6,000 (bonus) + (P - $6,000) / 5

It is stated that Albert's and Mr Toh's shares of the annual profit in 2004 were equal. Therefore, we can set up the equation:

Albert's share = Mr Toh's share

For the case when the profit is $14,000 or lower:

0.30P = Mr Toh's share

For the case when the profit is higher than $14,000:

$6,000 + (P - $6,000) / 5 = Mr Toh's share

Since the problem states that the shares are equal in both cases, we can set up the equation:

0.30P = $6,000 + (P - $6,000) / 5

To solve this equation, we can simplify it:

0.30P = $6,000 + (P - $6,000) / 5

Multiply both sides by 5 to eliminate the fraction:

1.5P = $30,000 + P - $6,000

Rearrange the terms:

0.5P = $24,000

Divide both sides by 0.5:

P = $48,000

Therefore, the annual profit in 2004 was $48,000.

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If (x, y, z) and (x, y, z) are two distinct solutions, there must be an infinite number of solutions along the line passing through them. If 25 planes meet at two points, they meet at a common point i.e., the plane is concurrent.

If (x, y, z) and (x, y, z) are two solutions to a system of linear equations, then the line passing through these two points is also a solution. This is because the line passing through two points can be parameterized by the equation (x, y, z) = t(x1, y1, z1) + (1 - t)(x2, y2, z2) for some value of t between 0 and 1, where (x1, y1, z1) and (x2, y2, z2) are the two given solutions.

If 25 planes meet at two points, then those two points must lie on all 25 planes. Therefore, the planes must be concurrent (i.e., they meet at a common point). By the Fundamental Theorem of Linear Algebra, the number of equations in a system of linear equations must be greater than or equal to the number of unknowns for there to be a unique solution.

In this case, since there are only two points of intersection among the 25 planes, the system of equations cannot have a unique solution and must either have no solutions or an infinite number of solutions.

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Answer:

Yes, the measurements 3cm, 4cm and 5cm are possible to create a triangle!

Step-by-step explanation: