can someone plz help me with 37 × 102 = ​

Answer:

74.2°

Step-by-step explanation:

Given:

m<A = 60°

a = 18 cm

b = 20 cm

Required:

m<ABC = B

Solution:

Apply the sine rule

\( \frac{sin(B)}{b} = \frac{sin(A)}{a} \)

Plug in the values

\( \frac{sin(B)}{20} = \frac{sin(60)}{18} \)

Multiply both sides by 20

\( \frac{sin(B)}{20}*20 = \frac{sin(60)}{18}*20 \)

\( sin(B) = \frac{sin(60)*20}{18} \)

\( sin(B) = 0.96225 \)

\( B = sin^{-1}(0.96225) \)

\( B = 74.2 degrees \) (approximated to nearest tenth)

Answer:

the coordinates of the B after reflection....

(6,5)

The number of players the team can bring to the tournament would be = 24 players

The softball game is the type of game that involves two teams which is made up of 9. - 10 players.

The total amount of money raised by a softball team=

$2089.50

The amount of money spent on rented bus = $1087.50

The amount left after rent deductions= 2,089.50 - 1,087.50 = 1,002

The amount budgeted for meals for each player= $41.75

The number of players that would be brought for tournament= 1,002/41.75

= 24 players.

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Answer:

2.8

Step-by-step explanation:

If u divide 14 into 5, you get a decimal, 2.8.

2.8

simply asking for the answer to 14 divided by 5 it is 2.8

(if anything further is required i’ll try my best to help! )

Answer:

x =145/129

Step-by-step explanation:

129x-33=112

Add 33 to each side

129x-33+33=112+33

129x = 145

Divide each side by 129

129x/129 = 145/129

x =145/129

Answer:

Side length of equilateral triangle is = 29 units

In geometry, an equilateral triangle is a triangle that has all its sides equal in length.

3 given lengths are

3x+8 , 5x - 6 , 2x +15

so,

\( \rm \: 3x + 8 = 5x - 6 = 2x + 15\)

consider 2 sides,

\( \rm \implies 3x + 8 = 2x + 15\)

\( \rm \implies 3x - 2x = 15 - 8\)

\( \rm \implies x= 7\)

so,

\( \rm \: 3x + 8 = 3 \times 7 + 8 = 29\)

As equilateral triangle

3x+8 = 5x - 6 = 2x +15 = 29

The sides of a triangle are straight lines that are joined by the three vertices of the triangle.

so,

Side,length of equilateral triangle is 29 units

Number of Sides = 3

Number of angles = 3

Each interior angle = 60

Each exterior angle = 120

Perimeter = 3 times of side-length

Area = √3/ 4 x (side)2

Height = √3 (side)/2

Here,

AC ≅ AB

→ 5x -6 = 3x+8

→ 5x - 3x = 8+6

→ 2x = 14

→ x = 14/2

→ x = 7

Now Putting the value of x

AC = 5x - 6

= 5(7) -6

= 35 -6

= 29

AB = 3x + 8

= 3(7) +8

= 21 + 8

= 29

BC = 2x + 15

=2(7)+15

= 14 + 15

= 29

Thus,

Area of triangle

\( \sf \: \frac{1}{2}bh \)

Area of equilateral triangle

\( \sf \: \frac{ \sqrt{3} }{4} {a}^{2} \)

Area of Isosceles Triangle

\( \sf \: \frac{b}{4} \sqrt{ {4a}^{2} - {b}^{2} } \)

Answer:

x = -4 or y = 7 or f(x) = 7

Also:

Plz mark brainliest if this helped plz :)

Answer:

x=-4

Step-by-step explanation:

Given data:

The given figure is shown.

The given coordinate of B is (3, 4) and the coordinate of B'(-5, 4).

It can be understand take first reflection about y-axis, then move 2 units left.

Thus, the option (B) is correct.

The equation of the graphed function is the one in option A.

y = f(-x + 4)

Here we know that:

f(x) = √x

Now, we can see that the graph starts at x = 4. This means that the argument becomes zero when x = 4.

So we have:

A translation of 4 units to the right.

y = f(x - 4)

And then we can see that there is a reflection over the y-axis, then we can write:

y = f(-x + 4)

So the correct option is A.

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The answers to all the subparts of the question are shown below.

(A) What type of observational study was this?

(B-1) What is the response variable?

(B-2) What is the explanatory variable?

Therefore, the answers to all the subparts of the question are shown.

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When finding local maxima and minima from the graph of a derivative, we need to identify the points where the derivative changes sign. These points represent the locations of local maxima and minima on the original function.

When finding local maxima and minima from the graph of a derivative, we need to understand the relationship between the original function and its derivative. The derivative of a function represents the rate of change of the function at any given point. Local maxima and minima occur where the derivative changes sign from positive to negative or from negative to positive. At these points, the slope of the original function changes from increasing to decreasing or from decreasing to increasing.

By following these steps, we can identify the local maxima and minima from the graph of a derivative.

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Identify the critical points, Determine the intervals, Analyze the sign changes and Check the endpoints

To find the local maximum and minimum points from the graph of a derivative, you can follow these steps:

Identify the critical points: These are the points where the derivative is either zero or undefined. Find the values of x where f'(x) = 0 or f'(x) is undefined.

Determine the intervals: Divide the x-axis into intervals based on the critical points and any other points of interest. Each interval represents a section of the graph where the derivative is either positive or negative.

Analyze the sign changes: Within each interval, observe the sign of the derivative. If the derivative changes sign from positive to negative, there is a local maximum at that point. If the derivative changes sign from negative to positive, there is a local minimum at that point.

Check the endpoints: Also, check the derivative's sign at the endpoints of the graph. If the derivative is positive at the leftmost endpoint and negative at the rightmost endpoint, there is a local maximum at the left endpoint. Conversely, if the derivative is negative at the leftmost endpoint and positive at the rightmost endpoint, there is a local minimum at the left endpoint.

By following these steps and analyzing the sign changes of the derivative within intervals, as well as checking the endpoints, you can identify the local maximum and minimum points from the graph of the derivative.

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Without additional information such as the significance level or p-value, it is not possible to make a definitive decision regarding the null hypothesis based solely on the t-score of -0.20.

Based on the given information, the counselor obtained a t-score of -0.20. To make a decision regarding the null hypothesis, we need to compare this t-score to a critical value or determine the p-value associated with it.

If the counselor has a predetermined significance level (α), she can compare the t-score to the critical value from the t-distribution table. If the t-score falls within the critical region (beyond the critical value), she would reject the null hypothesis. However, without knowing the significance level or degrees of freedom, we cannot make a definitive decision based solely on the t-score.

Alternatively, if the counselor has access to the p-value associated with the t-score, she can compare it to the significance level. If the p-value is less than the significance level (typically α = 0.05), she would reject the null hypothesis.

Without more information about the significance level or p-value, it is not possible to determine the decision regarding the null hypothesis based solely on the t-score of -0.20.

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Answer:

  (a)  10x^2−x−21

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW . . . . . where L is the length, and W is the width

__

The area of the given rectangle will be ...

  A = (2x -3)(5x +7)

This product is simplified using the distributive property to eliminate parentheses. Then like terms are combined.

  A = 2x(5x +7) -3(5x +7)

  = (2x)(5x) +(2x)(7) -3(5x) -3(7)

  = 10x^2 +14x -15x -21

  A = 10x^2 -x -21

The expression 10x^2 -x -21 represents the area of the rectangle in square inches.

The composite function g(h(8)) when evaluated is 94.

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

g(a) = 4a - 2

h(a) = 3a

To find g(h(8)), we need to first evaluate h(8), and then plug that result into g(a) and simplify.

h(a) is defined as 3a, so h(8) = 3(8) = 24.

Now we can plug in 24 for a in g(a) and simplify:

g(a) = 4a - 2

g(h(8)) = g(24) = 4(24) - 2 = 94

Therefore, g(h(8)) = 94.

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Answer:

perimeter goes with the one that has 5x^2

i dont know the second im sorry

Step-by-step explanation:

Answer:

(-7,-16)

Step-by-step explanation:

calculate the first derivative and equale tot zero.

dy/dx = 2x + 14 = 0

<=> x = -7

calculate now the value of y for x = -7

y = (-7)^2 + 14*(-7) + 33

y = 49 - 98 + 33

y = -16

The storage dimensions 8 inches*5 inches*12 inches will meet the clerk's needs.

To reduce the area of the base while keeping the volume of the office supplies constant, the dimensions must be chosen such that the depth is reduced and the tallness is increased such that the product remains 60 inches and the product of width and depth ( area) decreases.

=> if the volume is constant:

8 X 6 X 10= 8 X a X b

{ where a= new depth and b= new tallness}

=> canceling '8' on both sides:

6 X 10= a X b

=> aXb = 60, such that a <6 and b>10

=>fatorizing 60 gives possibilities of a and b :

1*60; 2*30;3*20;4*15;5*12

Also, the product of any of these values of 'a' with 8 gives a lesser value than 48 sq( 8 X 6).

Of these, 8 inches X 5 inches X 12 inches is most appropriate as these are close to the previous values.

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Answer:

41.90

Step-by-step explanation:

FORMULA 1/3×πr×r×h

Answer: A

Step-by-step explanation: A has the greatest rate of change because it moves 5 spaces up and one right while B moves 3 spaces and C moves 4 spaces.

The entropy of mixing in ideal gases has a real-world application in various fields, such as industrial processes, atmospheric science, and chemical engineering. It helps understand and predict the behaviour of gas mixtures, including their phase changes, equilibrium conditions, and energy distribution.

The concept of entropy of mixing is crucial in understanding the behaviour of ideal gas mixtures. When different gases are mixed together, their individual gas molecules become randomly distributed throughout the mixture. This random arrangement leads to an increase in the system's entropy, which is a measure of randomness.

Real-world applications of entropy of mixing in ideal gases can be found in various industries. For example, in chemical engineering, knowledge of entropy changes during mixing is essential for designing efficient separation processes, such as distillation or absorption.

Understanding the entropy of mixing also helps determine the equilibrium conditions of gas mixtures, which is important in fields like atmospheric science, where the behaviour of air pollutants or greenhouse gases is studied.

Additionally, the entropy of mixing plays a crucial role in energy distribution. In energy systems, such as power plants or combustion processes, gas mixtures are often encountered. Understanding the entropy changes during mixing helps optimize energy transfer and maximize system efficiency.

Overall, the entropy of mixing in ideal gases has significant practical implications, allowing scientists and engineers to make informed decisions and develop efficient processes in a wide range of industries, including chemical engineering, atmospheric science, and energy systems.

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Therefore, the probabilities P(X = 1) and P(X = 2) are given by: P(X = 1) = c/4 P(X = 2) \(= (2 - 16c^2)/(64c + 8)\).

To determine the probabilities P(X = 1) and P(X = 2) based on the given cumulative distribution function (CDF) F(x), we need to calculate the difference in probabilities at those specific points.

P(X = 1):

P(X = 1) is the probability that the random variable X takes the value 1. We can calculate this probability by subtracting the CDF values at x = 0 and x = 1:

P(X = 1) = F(1) - F(0)

Substituting the given CDF function:

\(P(X = 1) = (c(1)^2)/(3(1)^2 + 1) - (c(0)^2)/(3(0)^2 + 0)\)

= c/4

P(X = 2):

P(X = 2) is the probability that the random variable X takes the value 2. We can calculate this probability by subtracting the CDF values at x = 1 and x = 2:

P(X = 2) = F(2) - F(1)

Substituting the given CDF function:

\(P(X = 2) = (c(2)^2)/(3(2)^2 + 2) - (c(1)^2)/(3(1)^2 + 1)\)

= (4c)/(16c + 2) - c/4

= (4c - c(16c + 2))/(16c + 2)(4)

\(= (4c - 16c^2 - 2c)/(64c + 8)\)

\(= (2 - 16c^2)/(64c + 8)\)

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Given statement solution is :- To design a spinner with different point values for landing on different colors, you would need to create a spinner with sectors corresponding to yellow, blue, and red.

To design a spinner with different point values for landing on different colors, you would need to create a spinner with sectors corresponding to yellow, blue, and red. Here's a step-by-step guide on how you could design it:

Materials needed:

Cardboard or thick paper

Scissors

Pencil

Compass (optional)

Marker pens or colored pencils

Brass fastener (paper fastener)

Ruler

Steps:

Decide on the size of your spinner. Draw a large circle on the cardboard or paper using a compass or by tracing around a circular object like a plate.

Divide the circle into three equal sectors. Use a ruler to draw lines that divide the circle into three equal parts, forming three sectors.

Label each sector with the colors: yellow, blue, and red. You can either write the color names or use marker pens or colored pencils to fill in each sector.

Assign the point values to each color. Write "1" in the yellow sector, "3" in the blue sector, and "6" in the red sector.

Cut out the spinner along the outer circle. Use scissors to carefully cut out the circle shape along the outermost line you drew.

Cut a small triangle or arrow-shaped pointer from the remaining cardboard or paper. This will be attached to the center of the spinner to indicate the result.

Poke a small hole in the center of the spinner and the pointer. Use a sharp pencil or the tip of the scissors to create a small hole in the center of both the spinner and the pointer.

Attach the pointer to the spinner using a brass fastener. Insert the brass fastener through the hole in the pointer, then through the hole in the center of the spinner. Open the fastener on the backside of the spinner to secure the pointer in place. Ensure that the pointer can freely rotate.

Your spinner is now ready to use! To play, hold the spinner by the brass fastener in the center and flick it with your fingers. Watch as it spins, and when it comes to a stop, the pointer will indicate the color and the corresponding point value.

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Answer:

47 students in each bus

Step-by-step explanation:

243-8= 235

235/5=47

Answer:

Yes, it can. Triangles [in order for them to be one] must equal 180. If you add all of these angles together, since a triangle only has three angles anyway, it equals to 180, so you know it's a triangle.

If this was confusing, I am happy to help further!

Answer:

Supplementary angle sum is 90°

a+b=c

c=90°

Step-by-step:

according to question (A.T.Q.)

Answer:

the answer you are looking for is C

The 7th term in the expansion of \((x+2y)^{11}\) can be found using the binomial theorem, and it is 330\(x^{4}\) ⋅128\(y^{7}\) .

To find the 7th term in the expansion of \((x+2y)^{11}\) , we can use the Binomial Theorem. The general term in the expansion of \((x+2y)^{11}\) is given by \(({11}{k} ) x^{11-k} (2y) ^{k}\) , where (11k) represents the binomial coefficient.

To find the 7th term, we substitute k=6 into the general term formula. Therefore, the 7th term is \(({11}{6} ) x^{11-6} (2y) ^{6}\).

Simplifying the expression, we have \((11 6)x^{5}( 2^{6} y^{6} )\) . The binomial coefficient \((11 6)\) can be calculated as \(\frac{11!}{61.(11-6)!}\) , which equals 462.

Hence, the 7th term in the expansion of \((x+2y)^{11}\) is 330\(x^{4}\).128\(y^{7}\)after simplifying the expression.

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