Please answer correctly, will give brainlist.

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

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9514 1404 393

Answer:

Step-by-step explanation:

1. The desired angle is given on the diagram as 125°.

__

For the rest of these problems, the Law of Sines applies. A side can be found from ...

  a = b(sin(A)/sin(B))

and an angle can be found from ...

  A = arcsin(a/b·sin(B))

__

2. Y = arcsin(y/z·sin(Z)) = arcsin(5/11·sin(88°))

  ∠Y = 27°

__

3. DF = (11 km)·sin(32°)/sin(103°)

  DF = 5.98 km ≈ 6 km

__

4. b = c·sin(B)/sin(C) = (13 ft)·sin(65°)/sin(180° -65° -37°)

  b = 12 ft

Answer:

#1: The measure of m<B is 125°.

#2: M<Y is equal a 27°.

#3: So the length of DF is 5.99 km.

#4: the side length AC is 13.1 feet.

Explanation:

# 1: The following given,

c = AB = 17 cm

a = BC = unknown

b = CA = 44 cm

Ø = 125

M<B means it is the angle at vertex B of the triangle, it is also the only angle given in thbe figure.

Therefore, The measure of m<B is 125°.

#2: We can calculate the value of the angles by means of the law of sine which is the following:

\( \frac{yz}{sin \: x} = \frac{xz}{sin \: y} = \frac{xy}{sin \: z} \)

We need you know the Y value, therefore we replace and solve for Y

\( \frac{xz}{sin \: y} = \frac{xy}{sin \: z} \\ \frac{5}{sin \: y} = \frac{11}{sin \: 88} \\ 5 \: . \: sin \: 88 = 11 \: . \: sin \: y \\ sin \: y = \frac{5 \: . \: sin \: 88}{11} \\ sin \: y = 0.45426 \\ y = {sin}^{ - 1} (0.45426) \\ y = 27\)

#3: In order to find the length of Df, we can use the law of sines in this triangle:

\( \frac{11}{sin \: (103)} = \frac{df}{sin \: (32)} \\ \frac{11}{0.974} = \frac{df}{0.53} \\ df = \frac{11.0.53}{0.974} \\ df = 5.99\)

So the length of DF is 5.99 km.

#4: We are given two two angles and one side length.

<A = 37°

<B = 65°

AB = 13 ft

We are asked to find side length AC

We can use the "law of sines" to find the side length AC

\( \frac{sin \: c}{ab} = \frac{sin \: b}{ac} \)

Let us first find the angle <C

Recall that the sum of all three interior angles of a triangle must be equal to 180°

\( < a + < b + < c = 180 \\ 37 + 65 + < c = 180 \\ 102 + < c = 180 \\ < c = 180 - 102 \\ < c = 78\)

So, the angle <C is 78°

Now let us substitute all the known values into the law of sines formula and solve for AC

\( \frac{sin \: c}{ab} = \frac{sin \: b}{ac} \\ \frac{sin \: 75}{13} = \frac{sin \: 65}{ac} \\ ac = \frac{sin \: 65 \: . \: 13}{sin \: 75} \\ ac = \frac{9.06 \: . \: 13}{0.899} \\ ac = 13.1ft\)

Therefore, the side length AC is 13.1 feet.

Answer:

\(\frac{11}{12}\)

Step-by-step explanation:

\(Rule: \frac{x}{y} \pm \frac{a}{b} = \frac{x \pm y}{z}\\\frac{1}{4}+\frac{2}{3} = \frac{3}{12}+\frac{8}{12} (LCM)\\=\frac{3+8}{12}\\=\frac{11}{12}\\\)

Answer.

The polynomial is a binomial with degree 5.

Explanation:

Step 1. The expression that we have is:

Required: find the type of polynomial and its degree.

Step 2. The definition for each type of polynomial shown is:

• Monomial: Expression with only one term.

• Binomial: Expression with two terms.

• Trinomial: Expression with three terms.

In this case, we have two terms:

Therefore, it is a binomial.

Step 3. To find the degree of a polynomial, we need to add the exponents of the variables in each term, and the greatest sum will be the degree of the polynomial.

For our expression, the degree is:

The greatest sum is that of 1 and 4 --> 5, which is greater than 2. The degree of the polynomial is 5.

Answer.

The polynomial is a binomial with degree 5.

Answer:

5 is the correct answer ....

Answer:

by adding or subtracting other angle from sum of angle

Answer:

0, 4, -4 and they may want you to mention formally all the kt multiples of \(\pi\).

Step-by-step explanation:

Let's do the second derivative of the function: \(y(t)=sin(k\,t)\)

\(y'(t) =k\,cos(k\,t)\\y"(t)=-k^2\,sin(kt)\)

So now we want:

\(y"+16\,y'=0\\-k^2\,sin(kt)+\,16\,sin(kt)=0\\sin(kt)\,(16-k^2)=0\\\)

Then we have to include the zeros of the binomial (\(16-k^2\)) which as you say are +4 and -4, and also the zeros of \(sin(kt)\), which include all those values of

\(kt=0\,,\,\pi\,\,,\,2\pi\, ,\,etc.\)

So an extra one that they may want you to include is k = 0

The two new wrestlers must weigh 164 pounds each in order for the median to increase by 3 pounds.

Median is used to identify the central tendency of the data and is calculated by sorting the data in order from smallest to largest and then selecting the middle value.

Since the median weight of the wrestlers increases by 3 pounds, the median of the new data set (with the two new wrestlers) must be 153 pounds.

To calculate the weights of the two new wrestlers, we need to arrange the data set in ascending order first.

When the two new wrestlers are included, the new data set looks like this: 112, 130, 142, 150, 178, 206, x, y.

The median number in this data set is the average of the third and fourth numbers, 150 and 178.

Thus, the equation is written as

(150 + 178) / 2 = 164.

We can then solve this equation to find the weights of the two new wrestlers.

150 + 178 = 328

328 / 2 = 164.

So, the two new wrestlers must weigh 164 pounds each in order for the median to increase by 3 pounds.

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Answer:

54

Step-by-step explanation:

ratio is 7:9

7=42

9=?

9×42÷7

Answer:

what? i need a table to answer

Step-by-step explanation:

The collection, description, analysis, and drawing of conclusions from quantitative data are all included in the area of statistics, which is a branch of applied mathematics. Probability theory, linear algebra, and calculus of differential and integrals are some of the core mathematical concepts in statistics.

Descriptive statistics were used in the statement.

Descriptive statistics is a branch of statistics that deals with the collection, presentation, and summary of data. It is used to describe and summarize the main features of a data set, such as measures of central tendency (e.g., mean, median, mode) and measures of dispersion (e.g., range, variance, standard deviation).

In this case, the statement is simply reporting a single value, the average credit card debt for college students in 2008. This is an example of a descriptive statistic because it is a summary measure that describes a characteristic of the population or sample under study.

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Descriptive statistics were used in the statement.

Descriptive statistics is a branch οf statistics that deals with the analysis, descriptiοn, and summarizatiοn οf data. It invοlves the use οf variοus statistical measures, such as measures οf central tendency (mean, median, and mοde), measures οf dispersiοn (standard deviatiοn, variance, range), and graphical representatiοns (histοgrams, bοx plοts, scatter plοts, etc.) tο describe the features οf a dataset.

Descriptive statistics were used in the statement. The statement is simply describing the average credit card debt fοr cοllege students in 2008. Descriptive statistics are used tο describe οr summarize a dataset οr pοpulatiοn, while inferential statistics are used tο draw cοnclusiοns οr make predictiοns abοut a larger pοpulatiοn based οn a sample οf data. Since the statement οnly prοvides infοrmatiοn abοut a specific grοup οf cοllege students in 2008, it dοes nοt invοlve making any inferences οr predictiοns beyοnd this grοup.

Hence, Descriptive statistics were used in the statement.

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The dimensions of the rectangle are 25 by 4.12  feet

From the question, we have the following parameters that can be used in our computation:

Rectangle area = 103 square feet

The area of a rectangle is calculated as

Area = Length * Width

Assume the length is 25

So, we have

Area = 25 * Width

Substitute the known values in the above equation, so, we have the following representation

25 * Width = 103

Divide both sides by 25

Width = 4.12

Hence, the dimensions are 25 by 4.12  feet

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Answer: D

Step-by-step explanation:

The value of e can be calculated by  e = A - f/2.

Usually, simplification involves proceeding with the pending operations in the expression.

For example, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

We have been given an expression as;

A =e+f/2

We need to find the solution for 'e'.

So,

A = e+f/2

Subtract from f/2 on each side, we get;

A - f/2 = e

Thus, e = A - f/2

Therefore, the value of e can be calculated by  e = A - f/2.

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Resulting box has the greatest volume for the values  (25 ± 5√7)/6 .

This is a problem that can be solved using derivatives , maxima & minima and common logic.

Hence , going by logic :

Creating a flap of 'a' inches in width, the base of the box will be

 (10 - 2a) by (15 - 2a)

and the depth of the box will be the width of the fold-up flap: a.

Then the volume of the box is

 v = \(a(10 -2a)(15 -2a) = 150a -50a^2 +4a^3\)

Using the derivative of the volume will be zero at the maximum volume.

 0 = \(dv/da = 150 -100a +12a^2\)

This has roots at

 a = (100 ±√(100² - 4(12)(150)))/(2·12)

 a = (100 ± √2800)/24 = (25 ± 5√7)/6

Only the smaller of these solutions gives a maximum volume.

You should cut (5/6)(5-√7) ≈ 1.962 inches to obtain the greatest volume.

Similarly , replacing the values of 10 by A and 15 by B , a generalized solution can be formed .

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The length of the fence must be 618cm

The volume that it can hold is 1,909,620 cm³

First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:

C = П*D

Here we use П = 3, then:

C = П*206cm

C = 3*206cm = 618cm

Now the volume, for a cylinder of diameter D and height H, the volume is:

V = П*(D/2)²*H

Replacing the values that we know we will get:

V = 3*(206cm/2)²*60cm = 1,909,620 cm³

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Answer:

To mathematically prove that Marc hit the ball near the top of the tower, he could use the equation h(x) = -16x^2 + 120x, where h is the height of the ball and x is the number of seconds the ball is in the air.

First, Marc would need to determine the maximum height the ball reached during its flight. This can be found by using the vertex formula, which is x = -b/2a. In this case, a = -16 and b = 120, so x = -120/(2*-16) = 3.75 seconds.

Next, Marc can substitute this value back into the original equation to find the maximum height the ball reached. h(3.75) = -16(3.75)^2 + 120(3.75) = 135 feet.

Since the tower is 300 feet tall, Marc could conclude that if the ball hit near the top of the tower, it would have reached a height close to 300 feet. Since the ball reached a maximum height of 135 feet, it is unlikely that it hit the top of the tower.

However, this calculation assumes that the tower is directly in line with Marc's shot and that the ball did not have any horizontal movement. In reality, the tower could have been to the left or right of the shot, and the ball could have had some horizontal movement, which would affect its height at impact. Therefore, this calculation can only provide a rough estimate and cannot definitively prove whether or not the ball hit near the top of the tower.

Answer:

B.

Step-by-step explanation:

First in order to solve this problem we need to simplify the answer choices.

A. 6×8 + 6×6 = 48+ 36

B. 12×4 + 12×1=48+12

C. 4×44 + 4×3=176+12

D. 8×6 + 8×4 = 48+32

As you can see there is one expression that is equivalent to 48+12. Answer choice B is correct.

The expression that is equivalent to 48 + 12 is 12(4 + 1), Option B is correct.

An expression is combination of variables, numbers and operators.

To find the expression that is equivalent to 48 + 12, we need to simplify each of the given expressions and find the one that is equal to 60.

Because the value of 48+12 is 60

A. 6(8 + 6) = 6(14) = 84

B. 12(4 + 1) = 12(5) = 60

C. 4(44 + 3) = 4(47) = 188

D. 8(6 + 4) = 8(10) = 80

Out of the given expressions, only expression B simplifies to 60, which is equivalent to 48 + 12.

Therefore, the expression that is equivalent to 48 + 12 is 12(4 + 1), Option B is correct.

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The percentage of women with weights that are within the limits is:

60.93%

Can be calculated using the normal distribution formula. First, we need to find the z-scores for both the lower and upper limits:

z-score for lower limit = (132.4 - 168.7) / 48.8 = -0.74

z-score for upper limit = (217 - 168.7) / 48.8 = 0.99

Next, we can use a z-table to find the corresponding probabilities for these z-scores:

Probability for lower limit = 0.2296

Probability for upper limit = 0.8389

Finally, we can subtract the lower probability from the upper probability to find the percentage of women with weights that are within those limits:
Percentage = 0.8389 - 0.2296 = 0.6093

Therefore, approximately 60.93% of women have weights that are within the limits of 132.4 lb and 217 lb.

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Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

Answer:

x = 8

Step-by-step explanation:

m<PQR = (2x + 6)°

m<RPQ = (x - 7)°

m<QRS = (5x - 17)°

<PQR and <RPQ are interior angles opposite to the exterior angle <RPQ.

Therefore,

m<PQR + m<RPQ = m<QRS (Exterior Angle Theorem of a Triangle)

Substitute in the values

2x + 6 + x - 7 = 5x - 17

Add like terms

3x - 1 = 5x - 17

Collect like terms

3x - 5x = 1 - 17

-2x = -16

-2x/-2 = -16/-2

x = 8

Answer:

sdfdfds

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

3 divided by 5 is the same as 0.6

Answer:

True

Step-by-step explanation:

y= mx + b

y= slopex + y intercept

slope would be the rise and run with x, then you'd add the y intercept

ex:  y= 3x + 7

Answer:

d breach of warranty

Step-by-step explanation:

A theory for suing for damages caused by products is breach of warranty. This is a contract claim, and the purchaser of the product is claiming that the product failed to perform as warranted.

Answer:

The answers are: 35 hot dogs & 52 sodas.

Answer:

47.12

Step-by-step explanation:

Answer:

Step-by-step explanation:

volume of the rectangular prism = length x width x height

where:

length = 4/3 cm

width = 4/3 cm

height = 4/3 cm

plugin values into the formula:

volume of the rectangular prism = length x width x height

                                                      = 4/3 x 4/3 x 4/3

                                                      = 64/27 cm³ or 2.37 cm³

Using the Central Limit Theorem and the Empirical Rule, it is found that values of the sample mean between 62.88 and 65.12 would be consistent with the population distribution being N(64, 2.5).

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

Applying the Empirical Rule:

64 - 2(0.56) = 62.88

64 + 2(0.56) = 65.12

Values of the sample mean between 62.88 and 65.12 would be consistent with the population distribution being N(64, 2.5).

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The volume of the cylinder rounded to the nearest cm is,

V₁ = 9,646.1 cm³

We know the following:

Cylinder volume: V₁ = π r² h

Ball (sphere) volume: V₂ =4/3 π r³

where:

V - volume

r - radius of base of cylinder and diameter of ball

h - height of cylinder.

Here, We have,

D = 16 cm ⇒ r = 16 ÷ 2 = 8

π = 3.14

a) Since balls touch all sides of cylinder (as shown in image), it can be concluded that height of cylinder is equal to sum of diameters of 3 balls and that radius of base of cylinder is equal to radius of ball:

h = 3 × r = 3 × 16 cm = 48 cm

r = 8 cm

So,

V₁ = π r² h

V₁ = 3.14 × (8 cm)² × 48 cm

V₁ = 9,646.1 cm³

Thus, The volume of the cylinder rounded to the nearest cm is,

V₁ = 9,646.1 cm³

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