Can somebody help? make sure it's right..

The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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The solution of the given expression will be 9/16.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, [-3*(10+(-7))]²÷[(3-(-9)]²

= [-3*(10+(-7))]²÷[(3-(-9)]² = (-9)²/12²

= 9/16

Hence, The solution of the given expression will be 9/16.

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Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

Answer:

Step-by-step explanation:

14+12 = 26+8 = 34 + 6 is 40

the answer is 40.

Answer:

\(2\sqrt{10\)

Step-by-step explanation:

Add all the numbers together on your calculator

Answer:

Choice D

Step-by-step explanation:

x = cost of 1 bagel

y = cost of 1 muffin

3x + 4y = $5.67

5x + 3y = $6.70

Answer:

A.=False

B.=True

C.=False

D.=True

Step-by-step explanation:

The original ration is 2 gallons of water for 4 players.

Each player requires 1/2 gallon of water.

To get the amount of water needed multiply 1/2 by the amount of players.

1*(1/2) does not equal 1

2*(1/2) equals 1

10*(1/2) does not equal 4

30*(1/2) equals 15

Answer:

1.99%. (2% rounded)

Step-by-step explanation:

The total number of ways to select 4 children out of 40 is given by the combination formula:

C(40,4) = 40! / (4! * (40-4)!) = 91,390

The number of ways to select 4 girls out of 16 is given by the combination formula as well:

C(16,4) = 16! / (4! * (16-4)!) = 1,820

Therefore, the probability of selecting 4 girls out of the group of 40 children is:

P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%

So the probability that all 4 helpers will be girls is approximately 1.99%

Hope this helps!.

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Answer:

Step-by-step explanation:

Let x be the side length of the square window. Then the area of the square window is x^2, and the area of the rectangular window is 16 * 4 = 64.

We can write the equation:

x^2 = 64

To solve for x, we can take the square root of both sides:

x = √64

x = 8

Therefore, the side length of the square window is 8 inches.

Answer:

Step-by-step explanation:

1) 1 7/9 = 9*1+7/9 = 16/9

2) 6 3/4 = 6*4+3/4 = 27/4

3) 11 1/5 = 11*5+1/5 = 56/5

4) 5 2/6 = 5*6+2/6 = 32/6

5) 10 3/7 = 10*7+3/7 = 73/7

Hope you understood!!

Step 1: Identify the Qualitative Variables:

The qualitative variables in this data set are Degree, School, Program, and Classes.

Step 2: Identify the Categories Associated with Each Qualitative Variable:

Degree: Bachelors, Masters

School: Brookside E.S., Bergen Academies-Hackensack

Program: 3-Emotionally Distur., 5-Life Skills

Classes: Experience Taught

Step 3: Identify the Quantitative Variables:

The quantitative variables in this data set are Salary and Years.

Step 4: Identify the Measurement Scales for All Variables:

Salary and Years are measured on an interval scale, while Degree, School, Program, and Classes are measured on a nominal scale.

The question does not have any part related to Master's yearly salaries.

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Answer:

7350

Explanation:

3763.2/0.512 can be determined by simply dividing.

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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Given:

The objective is to find the rounded of 565,832 to nearest hundred thoudand.

Here, the place value hundred thousand is starting number 5.

The next number to 5 is 6.

If the lower place value of a number to be rounded is greater than 5 than add 1 to it.

Hence the rounded value of 565,832 is 600,000.

The value for the measure of the vertical angle X is equal to 90°. The option B is correct.

Vertical angles also called vertically opposite angles are formed when two lines intersect each other, the opposite angles formed by these lines are vertically opposite angles and are equal to each other.

We shall evaluate for the measure of x as follows:

X = 2y {vertical angles}

y + 2y + y = 180° {sum of angles on a straight line}

4y = 180°

y = 180°/4 {divide through by 4}

y = 45°

X = 2(45°) = 90°

Therefore, value for the measure of the vertical angle X is equal to 90°. The option B is correct.

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Step-by-step explanation:

tan theta = opp/adj = 16/6

theta = tan inverse of (16/6)

theta = ans

ans = a

Answer:

x

−

3

x

−

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

hope it helps you

this is my answers

Main Answer: The total surface area of cylinder B is approximately 476.7  square units.

Supporting Question and Answer:

How is the surface area of a cylinder calculated?

The surface area of a cylinder is the sum of the areas of its curved surface and two circular bases. It can be calculated using the formula:

A = 2πrh + 2π\(r^{2}\)

where "r" is the radius of the circular base, "h" is the height of the cylinder, and π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14159.

The first term, 2πrh, represents the area of the curved surface of the cylinder, while the second term, 2π\(r^{2}\), represents the combined area of the top and bottom circular bases.

Body of the Solution: Let the height and radius of cylinder A be "h" and "r" respectively. Then, the height and radius of cylinder B are "2h" and "R" respectively, since cylinder B has twice the height of cylinder A but the same radius.

The total surface area of a cylinder is given by the formula:

Area = 2πrh + 2π\(r^{2}\)

For cylinder A, we know that the surface area is 180, so we can substitute the values and solve for "r" as follows:

180 = 2πrh + 2π\(r^{2}\)

90 = πrh + π\(r^{2}\)

We can rearrange this equation to solve for r:

r² + rh - 90/π=0

Using the quAdratic formula,we get:

r = (-h ± √((h)² + 4(90/π)))/2

r = -h/2 ± √(h² + 4(90/π))/2

Now we have an expression for r in terms of h . We can use this expression to find the radius of cylinder B, since we know that cylinder B has twice the height of cylinder A.

R = 2r= -h ± √(h² + 4(90/π))

We can use this expression to find the surface area of cylinder B:

Surface area of cylinder B = 2πR² + 2πR(2h)

Surface area of cylinder B= 2π( -h ± √(h² + 4(90/π)))² + 4πh( -h± √(h² + 4(90/π)))

We can use the value we found for 2h using the quadratic formula in the expression to get:

Surface area of cylinder B = 476.7 square units (rounded to one decimal place)

Therefore, the total surface area of cylinder B is approximately 476.7  square units.

Final Answer: Therefore, the total surface area of cylinder B is approximately 476.7  square units.

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Answer:

D. Starla and Lewis will have the same balance in their accounts after 7 months.

Answer:

42,500

Step-by-step explanation:

The number which is ten times greater than 4250 is 42, 500.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The number 4,250 is ten times smaller than what number.

let the number be x.

So, x/10 = 4250

Now, make x as subject formula

x = 4250(10)

x= 42500

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Answer:

B. x = 8

Step-by-step explanation:

The length of segment AB when the line segment AB is on square ABCD is 36 units.

From the task content, the length of the line segment AB which is a side of the square ABCD is to be determined.

In this case, since the perimeters of triangle EFG and square ABCD are equal as given;

Let the length of segment AB = x.

Therefore, EF = x + 12.

Therefore, the perimeter of the equilateral triangle = 3(x +12).

While the perimeter of square ABCD is; 4x.

Therefore, since the perimeters are equal, we equate them and this will be:

3(x + 12) = 4x

3x + 36 = 4x

36 = x.

Therefore, the length is 36 units.

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The numeric value of the greatest sum that can be obtained by Greg is given as follows:

1173.

When two n digit numbers are added, the numbers in the equivalent positions are added with each other, that is, starting from the end of the number to the begining.

For example, 21 + 32:

Hence the sum is of 54.

Hence the greatest sum would be obtained as follows:

Hence the sum would be given as follows:

642 + 531 = 1173.

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A) The total possible outcomes are the sum of all fingerboards: B + 9 (grey) + 4 (white) + 3 (yellow).

B) The total possible outcomes remain the same: B + 9 + 4 + 3.

C) The total possible outcomes remain the same: B + 9 + 4 + 3.

D) The total possible outcomes remain the same: B + 9 + 4 + 3.

E) The total possible outcomes remain the same: B + 9 + 4 + 3.

To determine the probability of events related to choosing a black fingerboard from David's collection, we need to calculate the ratio of the favorable outcomes (black fingerboards) to the total possible outcomes (all fingerboards).

Let's denote the number of black fingerboards as B.

A) The total possible outcomes are the sum of all fingerboards: B + 9 (grey) + 4 (white) + 3 (yellow).

Event A: A black fingerboard is chosen.

The favorable outcome for Event A is choosing a black fingerboard, which is B.

The total possible outcomes are the sum of all fingerboards: B + 9 (grey) + 4 (white) + 3 (yellow).

B) The total possible outcomes remain the same: B + 9 + 4 + 3.

Event B: The chosen fingerboard is grey or white.

The favorable outcomes for Event B are choosing a grey fingerboard (9) or a white fingerboard (4).

C)The total possible outcomes remain the same: B + 9 + 4 + 3.

Event C: The chosen fingerboard is not yellow.

The favorable outcomes for Event C are choosing a black fingerboard (B), a grey fingerboard (9), or a white fingerboard (4).

The total possible outcomes remain the same: B + 9 + 4 + 3.

D) The total possible outcomes remain the same: B + 9 + 4 + 3.

Event D: The chosen fingerboard is not white.

The favorable outcomes for Event D are choosing a black fingerboard (B), a grey fingerboard (9), or a yellow fingerboard (3).

The total possible outcomes remain the same: B + 9 + 4 + 3.

E) The total possible outcomes remain the same: B + 9 + 4 + 3.

Event E: The chosen fingerboard is not grey.

The favorable outcomes for Event E are choosing a black fingerboard (B), a white fingerboard (4), or a yellow fingerboard (3).

The total possible outcomes remain the same: B + 9 + 4 + 3.

To find the probability of each event, we divide the number of favorable outcomes by the total possible outcomes.

Event A: P(A) = B / (B + 9 + 4 + 3)

Event B: P(B) = (9 + 4) / (B + 9 + 4 + 3)

Event C: P(C) = (B + 9 + 4) / (B + 9 + 4 + 3)

Event D: P(D) = (B + 9 + 3) / (B + 9 + 4 + 3)

Event E: P(E) = (B + 4 + 3) / (B + 9 + 4 + 3)

These probabilities depend on the specific value of B (the number of black fingerboards in David's collection) and cannot be determined without that information.

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Answer:

n<-1.25

Step-by-step explanation: