Which value is a solution for the equation cot x/2 =1

Answer:

A = 38°

B = 50.32°

C = 91.68°

a = 8

b = 10

c = 12.77

Step-by-step explanation:

The first thing is to find the angle B, like this:

sin B = b * sin A / a = 10 * sin (38 °) / 8

sin B = 0.77

B = arc sin (0.77)

B = 50.32 °

For angle C, it would be:

C = 180 - 38 - 50.32

C = 91.68 °

Side c, we calculate it like this:

c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)

c = 12.77

Answer:

Answer is D

500 times, lets divide that by 100. So... 3 out of 5 times is 60%

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is not valid because not all segments that fit the description are diameters.

Yes, Rozonda's definition of the diameter of a circle as a line segment passing through the center of the circle is valid. The diameter is defined as the longest chord in a circle, and it always passes through the center.

Yes, Rozonda's definition of the diameter of a circle as a line segment passing through the center of the circle is valid. The diameter is defined as the longest chord in a circle, and it always passes through the center. In other words, any line segment that connects two points on the circle and passes through the center can be considered a diameter.

For example, if you have a circle with a radius of 5 units, any line segment that connects two points on the circle and measures 10 units in length will be a diameter.

Keywords: diameter, circle, line segment, center

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Answer:

40

Step-by-step explanation:

To solve this, divide the number of guests by the number of guests that can be seated at each table.

325/8 = 40 with a reminder of 5

This means that 40 tables will be completely full while one table has only 5 people

Answer:

Dive by n square root two, also option one.

Step-by-step explanation:

The first step to any algebra equation is to isolate the variable and you do that by divide square root 2 since it cancels out on the left side and now n is alone.

Hoped that helped :)

Answer: C

Step-by-step explanation:

Alright, first let’s review what compound interest is. Instead of simple interest which pays interest on the principal, it pays interest on the amount in the bank each year, so it basically pays interest on the principal with previous interest. Lets run this example through the years:

Year 1:

= $1800 + 5% (Of 1800)

= $1800 + $90

= $1890

Year 2:

= $1890 + 5% (of 1890)

= $1890 + $94.5

= $1984.50

Year 3:

= $1984.50 + 5% (of 1984.50)

= $1984.50 + $99.23 (I rounded it to the nearest hundredth from its original state, $99.225)

= $2083.73

Year 4:

= $2083.73 + 5% (of 2083.725)

= $2083.73+ $104.19 (I rounded it to the nearest hundredth from its original state, $104.1865)

= $2187.92

Year 5:

= $2187.92 + 5% (of $2187.92)

= $2187.92 + $109.40 (rounded to the nearest hundredth from 109.396)

= $2297.32

This is as close as you can get to answer C, it’s just off one cent because of all the rounding!

Answer:

8.43

Step-by-step explanation:

8 + 10 + 10 + 10 + 6 + 7 + 8 = 59

59/7 = 8.43 (or keep as improper fraction)

Answer:

x = 9

Step-by-step explanation:

2/3x +5 = -2/6x +14

Simplify

2/3x +5 = -1/3x +14

Add 1/3x to each side

2/3x + 1/3x +5 = -1/3x +1/3x +14

3/3x +5 = 14

x+5 = 14

Subtract 5 from each side

x+5-5=14-5

x = 9

Answer:

i can assure you that it is B: 267

Step-by-step explanation:

edge 2020

Answer:

B) 267 in.

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

Given: Base edge of square pyramid a= 48 cm

Slant height square pyramid l =26 cm

Let h be the height of the right pyramid

Thus,

The volume of square pyramid

Thus C is the right option.The volume of square pyramid=

hope this helped plz let me know :)

Answer:

Equilateral triangles, squares and regular hexagons are the only regular polygons  that will tessellate. Therefore, there are only three regular tessellations.

Step-by-step explanation:

Answer:

The answer is eight.

All you have to do is graph the points and count how many boxes are inside the points.

Answer:

The Answer is 8.

Step-by-step explanation:

When you graph the plots on a graph you might look at the graph and say this looks complicated but if you count the boxes in the shape, you will get your answer as 8 square units.

Answer:

Option "A" is the correct answer to the following question.

Step-by-step explanation:

Complementary angles ⇒ If the sum of two angles becomes 90 degrees, we can say that this is a complementary pair of angles.

In the given situation angle ∠RST and ∠TSU are a pair of complementary angles.

∠RST + ∠TSU = 90° (Complementary angles)

So, we say that the option "A" is the correct answer.

The correct statement is Option A) m∠RST + m∠TSU = 90°

To determine which statement is true for two complementary angles ∠RST and ∠TSU, we need to understand the definition of complementary angles in geometry.

Complementary angles are two angles whose measures add up to 90 degrees. Therefore, the correct option is:

A) m∠RST + m∠TSU = 90°

This is because, by definition, if two angles are complementary, their measures always sum up to 90 degrees. For instance, if m∠RST is 30 degrees, then m∠TSU must be 60 degrees so that their sum is 90 degrees.

Answer:

Step-by-step explanation:

Step 1: Add 8 to both sides.

2x−8+8<12+8

2x<20

Step 2: Divide both sides by 2.

2x/2<20/2

x<10

The factors of the given expression are 5x², (x - 2), and (x - 2).

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

It is given that the polynomial expression 5x⁴ – 20x³ + 20x²

It is required to find its factor.

We have a polynomial expression let's denote it with f(x)

f(x) = 5x⁴ – 20x³ + 20x²

taking 5x² common

f(x) = (x²-4x +4)  5x²

from the formula (a -b)² = a² +b² -2ab

f(x) = (x -2)²*5x²

Thus, the factors of the given expression are 5x², (x - 2), and (x - 2).

Learn more about Polynomials here:

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Answer:

B;$573.83 crazy.

Using the compound interest principle, the best loan would be that with the lower return value, Hence, the best option is the option B. The amount saved by going for option B is $90.81

Using the compound interest formula :

Option A :

[tex] A = P(1 + \frac{r}{n})^{nt} [/tex]

[tex] A = 2000(1 + \frac{0.085}{4})^{4 \times 6} [/tex]

[tex] A = 2000(1 + \frac{0.085}{4})^{24} [/tex]

[tex] A = 2000(1 + 0.00708)^24[/tex]

[tex] A = 2000(1.6564) = 3312.83 [/tex]

Option B :

[tex] A = P(1 + \frac{r}{n})^{nt} [/tex]

[tex] A = 2000(1 + \frac{0.10}{1})^{1 \times 5} [/tex]

[tex] A = 2000(1 + 0.10)^{5} [/tex]

[tex] A = 2000(1 + 0.00708)^5[/tex]

[tex] A = 2000(1.61051) = 3257.79 [/tex]

Difference = 3312. 83 - 3221.02 = $90.81

The better loan would be option B ; as it is cheaper.

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Answer:

62.5 would go 5 lines out and 23.35 would go in the middle of the third and fourth line

Step-by-step explanation:

Answer: [tex]-5x^3y^3+8x^4y^2-7xy^5+x^2y^4+8x^6[/tex]

Step-by-step explanation:

[tex]-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5[/tex]

[tex]-5x^3y^3+8x^4y^2+(-xy^5-6xy^5)+(-2x^2y^4+3x^2y^4)+8x^6[/tex]

[tex]-5x^3y^3+8x^4y^2+(-7xy^5)+(x^2y^4)+8x^6[/tex]

[tex]-5x^3y^3+8x^4y^2-7xy^5+x^2y^4+8x^6[/tex]

Answer:

D. 8x6 + 8x4y2 – 5x3y3 + x2y4 – 7xy5

Step-by-step explanation:

Answer:

Each student gets 575 gram of clay

Step-by-step explanation:

1 kg  = 1000 g

Mass of the total clay = 6.9 kg = 6.9 * 1000 = 6900.0 = 6900 g

Clay received by each student = Total / Number of students

                = 6900 / 12

                = 575 g

Answer:

b

Step-by-step explanation:

Answer:

0.524

Step-by-step explanation:

The probability that the chosen student is a male is 0.524 .

Given,

Number of male students who participated in sports = 110

Number of female students who participated in sports = 100

Number of male students who did not participated in sports = 180

Number of female students who did not participated in sports = 210

Now,

The probability that the male students is chosen will be given by,

P(MALE) = 110/210

P(MALE) = 55/105

P(MALE) = 11/21

P(MALE) = 0.524

Thus the probability of chosing a male student who participates in the sport is 0.524 .

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Final answer:

Quadrilaterals that can have two sides of length 7 cm and two of length 4 cm are a rectangle and a parallelogram; a square cannot, and a trapezoid is not certain.

Explanation:

The type of quadrilaterals that can be drawn with two sides of length 7 cm and two sides of length 4 cm are a rectangle and a parallelogram. A square cannot have sides of different lengths, so it wouldn't fit the requirement. A trapezoid could possibly have these side lengths, but only if the non-parallel sides are of different lengths, which isn't stated in the question.

The reason for choosing a rectangle is because it has four right angles and the opposite sides are equal, allowing for two sides to be 7 cm and the other two to be 4 cm. A parallelogram can also have sides of these lengths as long as the opposite sides are equal, and the angles are not restricted to 90 degrees like in a rectangle.

Answer:

The correct option is;

E. She will not be able to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender

Step-by-step explanation:

The question states that Aaliyah randomly selects the following;

First sample

Sample gender = Males

Sample size = 35

Age bracket of sample = 20 to 30 years

Second sample

Sample gender = Females

Sample size = 45

Age bracket of sample = 45 to 55 years

The plan is to determine how age and gender are related to movie genre preference

Appropriate sample distribution to determine movie genre preference is as follows;

Gender = Male

Age bracket = 20 to 55 years

Gender = Female

Age bracket = 20 to 55 years

Therefore, since the samples selected do not cut across the population of the by age and gender of movie genre preference, she will not be able to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender.

Answer:

E. She will be unable to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender.

Step-by-step explanation:

Hi.

This is a geometric sequence with the rational of the sequence  : 1.75

If you start with  1,

Then  U0 = 1

and U24 = 1*1.75^24≈ 680 634

Answer:

Step-by-step explanation:

the answer is basically 4.5% and the 6%

Answer:

it's the 2 year loan is 4.5%

Answer:

B. 12m + 6

Step-by-step explanation:

Just distribute the 3 to both 4m and 2.

Answer:

B. 12m + 6

Step-by-step explanation:

Because there is a three, we must do three times both of the terms:

(3 x 4m) + (3 x 2)

When you do it, we get:

12m + 6

We cannot simplify it any further, so 12m + 6 is out final answer.

Hope this helped :]

Answer:

Jerry  is correct

Step-by-step explanation:

[tex]8^{x} = 512[/tex]

this equation is asking 8 to what power is 512

Emma said the solution is x=3. Her explanation is 8 x 3 which would equal 24. This is not the correct answer.

Jerry's solution  is x = 3. His explanation is 8 x 8 x 8 which would equal 512. This is the correct answer.

Mel's solution is x = 8. Her explanation is 8 x 3 which equals 24. This is not the correct answer.

Victoria's solution is x = 8. Her explanation is 8 x 8 x 8 which would equal 512. However, her explanation is correct, her solution is not. [tex]8^{8} = 16777216[/tex]. That is what her solution is saying.

Answer:

32%

Step-by-step explanation:

25 - 17 = 8

8/25 x 100% = 32%

Answer:

32

Step-by-step explanation:

ed 2020

Answer: A / D / E

Step-by-step explanation:

You know that because you have an angle that measures 90 degrees I’m each. You can also make the 90 degree box at the corner.

Answer:

(C)

Step-by-step explanation:

I solved it by graphing.

[see picture]