hello can you help me solve this trigonometry problem and in the problem it has answer must be exac. use pi or the sign pi and enter answer using a reduced fractions

To make a regular polygon with 96 sides we can take a circle as a starting point and divide it into 96 equal sides.

To create a regular polygon with 96 sides, we must take into account that all its sides must be equal, so we can take a circumference as a starting point. In this case, the circumference has 360°, so we must divide this into 96 parts and the result would be the distance between the edges of the polygon.

In this case, we must make a circle with a protractor and mark every 3.75°, when we have completed this procedure in the entire circumference we will have a regular polygon with 96 sides.

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If eleven subtracted from eleven times a number is -66, the unknown number is -5

Given the data in the question;

First we translate the statement into an algebraic expression and solve for the unknown number.

Let x represent the unknown number.

Translation

Now, we combine.

11x - 11 = - 66

Solve for x

Add 11 to both sides

11x - 11 + 11 = - 66 + 11

11x = -55

x = -55/11

x = -5

Therefore, if eleven subtracted from eleven times a number is -66, the unknown number is -5

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Answer:

x = 1

Step-by-step explanation:

Work backwards:

5 + x = 6 (minus 5 from both sides)

6-5 = x

x =1

Sub in to check

Answer:

5 + x = 6

X = 6 -5

X = 1

Value of X is 1

Answer:

61%

Step-by-step explanation:

We can see that out of all the people that were surveyed, 54% were 10th graders. Since 33% out of all the ones surveyed were 10th graders that chose robotics, the fraction would be 33/54 which is 0.611.

This is 61% approx.

Answer:

61%

Step-by-step explanation:

A P E X

Answer:

Step-by-step explanation:

60 minutes per hour
2.82gal *60mins = 169.2gal per hour.
303 gallons / 169.2 gph = about 1.7907 hours

The correct option is (e) i.e. 3.0.

What are Units ?

In math, units refer to a standard of measurement used to quantify a quantity. Units are used to specify the magnitude of a physical quantity or measurement, such as length, mass, time, temperature, and so on.

The use of units is important in math and science because it allows us to communicate and compare measurements effectively. Without units, it would be difficult to understand or compare different measurements, as they would lack a common reference point.

According to the United States Environmental Protection Agency (EPA), transportation is the largest contributor to greenhouse gas emissions in the United States, responsible for approximately 29% of total greenhouse gas emissions in 2019. In comparison, agriculture accounted for approximately 10% of total greenhouse gas emissions in the same year.

Therefore, for every pound of warming gas produced by agriculture, approximately 2.9 pounds of warming gas are produced by transportation.

So, the closest option from the given choices is 3.0.  

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dx can be expressed in terms of dt as:

dx = 4t2sin(t2)cos(t2)dt + 2t[1 - cos(4t2)]dt + 2t[1 + cos(4t2)]dt

sin(x2) = 2sin(x)cos(x)

cos(x2) = cos2(x) - sin2(x)

Therefore, dx2 = 2sin(x)cos(x)dx + [cos2(x) - sin2(x)]dx

Using the half-angle identity, sin2(x) = 1/2[1 - cos(2x)] and cos2(x) = 1/2[1 + cos(2x)], we can rewrite dx2 as:

dx2 = sin(x)cos(x)dx + 1/2[1 - cos(2x)]dx + 1/2[1 + cos(2x)]dx

Now, we can express dx in terms of dt using the fact that x = t2:

dx = 2tdt

Therefore, dx2 = 2sin(t2)cos(t2)2tdt + 1/2[1 - cos(4t2)]2tdt + 1/2[1 + cos(4t2)]2tdt

Simplifying, we get dx2 = 4t2sin(t2)cos(t2)dt + 2t[1 - cos(4t2)]dt + 2t[1 + cos(4t2)]dt

Therefore, dx can be expressed in terms of dt as:

dx = 4t2sin(t2)cos(t2)dt + 2t[1 - cos(4t2)]dt + 2t[1 + cos(4t2)]dt

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Answer: 2 feet.

Step-by-step explanation: 16 - 14 = 2. That would be 14 inches. 2 feet.

Answer:

Hey there !

Under the More button, select View Course Structure.

Find the lesson to view the assessment answers. Click Quiz Answers.

All the assessment questions related to the lesson are found in the pop-up window. To view a question and answer, select a question number.

The required box plot has been shown.

To make a box plot of the coat prices, we need the following statistical measures:

With these five measures, we can construct a box plot that shows the distribution of the coat prices, including the median, quartiles, and any outliers.

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The domain and the range of the function are given as follows:

a) Domain: -3 ≤ x < 4.

b) Range: -4 < y ≤ 5.

In a graph:

Hence, for the graphed function:

a) Domain: -3 ≤ x < 4.

b) Range: -4 < y ≤ 5.

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Answer:

28 percent............

Volume of the cylinder is 15197.60(to the nearest hundredth).

In mathematics, Cylinder is  the basic 3d shapes,  which has two parallel circular bases at a distance. The two circular bases are joined by a curved surface, at a fixed distance from the center which is called height of the cylinder.

Given that the radius of the cylinder  is 11yd.

and the height of the cylinder is 40yd.

Formula for the volume of cylinder  is π × r² × h where π=3.14, r= radius and h= height.

Putting the values we get,

Volume of the cylinder is = 3.14 × (11)² × 40 cubic yd.

                                          = 15197.6

Hence, Volume of the cylinder is 15197.60(to the nearest hundredth).

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Answer:

SAS

Step-by-step explanation:

Side angle side Test

2 sides are given equal and angle between these two side is equal in both triangle

hence by SAS test

Triangle ABC and EBD are congruent

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

The distance across the lake VW is 185m.

Triangles that are similar but not necessarily the same size are called similar triangles. This indicates that their sides are proportional and that their angles are the same.

We can see there are two similar triangles with interior parallel line.

So, apply the Side Angle Side (SAS) rule for ΔUVW ≈ ΔUXY;

⇒   \(\frac{VW}{XY} = \frac{UV}{UX}\)

⇒   \(\frac{VW}{120.25}=\frac{(130+70)}{130}\)

Cross multiply both sides,

⇒   VW  =  \(\frac{200}{130}*120.25\)

⇒    VW = 185 m

Therefore, the value of VW is 185m.

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Answer:

where x1=-3.71 and x2=1.21

Step-by-step explanation:

first= 2x+5x-9=0, a=2,b=5,c=-9, x=

\( \sqrt{ {5 }^{2} } - 4 \times 2( - 9) \: over4\)

second x=

\( \sqrt[ - 5 + ]{25 + 72} over4\)

x=

\( \sqrt[ - 5 +4 ]{97} \)

\( \sqrt[ - 5 - 4]{97} \)

Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

Answer:

Step-by-step explanation:

First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03

That means that there was a gain of $7.03 per share for Archie.

That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:

(7.03x100)= 703

The answer then is:

Archie gained $703 from selling all of his shares.

The correct magnitude of the vector times the appropriate unit vector of given vectors are given as follows:

a. <0.708, 0, -0.708> \(*4.66*10^{-3}\)

b. <0, -1, 0>*676

c. \(\overrightarrow{C} = <0.707, 0, -0.707>*4.47*10^2\)

The general vector can be represented as:

\(\underset{A}{\rightarrow}\) = (a, b, c) ......1

the magnitude \(| \right\underset{A}{\rightarrow} |\) can be obtained as :

\(| \right\underset{A}{\rightarrow} | = \sqrt{a^{2}+ b^{2} +c^{2} }\) .....2

and unit vector would be:

\(\hat{u}_A=\dfrac{\overrightarrow{A}}{|\overrightarrow{A}|}\).......3

Solution:

a) ( 0.00330, 0, -0.00330)

here,

\(\underset{A}{\rightarrow} = ( 0.00330, 0, -0.00330)\)

applying this magnitude to equation two:

\(| \right\underset{A}{\rightarrow} | = \sqrt{0.00330^{2}+ 0^{2} +(-0.00330)^{2} }\) = \(4.66*10^{-3}\)

the unit vector would be:

\(\hat{u}_A=\dfrac{\overrightarrow{A}}{|\overrightarrow{A}|}\)

\(\hat{u}_A= < \frac{0.00330}{4.66*10^{-3}}, \frac{0}{4.66*10^{-3}}, \frac{-0.00330}{4.66*10^{-3}}>\)

\(\hat{u}_A= <708, 0, -708>\)

Thus, the vector \({\overrightarrow{A}\) would be - <0.708, 0, -0.708> \(*4.66*10^{-3}\)

B) (0, -676, 0)

Solving simailarly like A),

Vector \(| \right\underset{B}{\rightarrow} | = \sqrt{0^{2}+ -676^{2} +0^{2} }\) = 676

the unit vector would be:

\(\hat{u}_B=\dfrac{\overrightarrow{B}}{|\overrightarrow{B}|}\\\hat{u}_B= < \frac{0}{676}, \frac{-676}{676}, \frac{0}{676}>\)

Thus,  the vector \(\overrightarrow{B}\) = <0, -1, 0>*676

C) (0.00316, 0, -0.00316)

Attempting the third vector similarly we will get magnitude:

\(| \right\underset{C}{\rightarrow} | = \sqrt{0.00316^{2}+ 0^{2} +(-0.00316)^{2} }\) = \(*4.47*10^{-3}\)

Then,

\(\hat{u}_C=\dfrac{\overrightarrow{C}}{|\overrightarrow{C}|}\\\hat{u}_C= < \frac{0.00316}{4.47*10^2}, \frac{0}{4.47*10^2}, \frac{0.00316}{4.47*10^2}>\)

The vector \(\overrightarrow{C} = <0.707, 0, -0.707>*4.47*10^2\)

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Answer:

C. $7.15

Step-by-step explanation:

3.5(11)= 38.5

2.85(11)= 31.35

38.5-31.35=7.15

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

3.2 feet.

Step-by-step explanation:

Since the total amount of water that was decreased is equal to 12.8, we would divide it by 4 to see how much it decreased in 1 week assuming it was constant. So, 12.8 divided by 4 is 3.2.

Answer:

29.71%

Step-by-step explanation:

The interest rate of the savings account is = 114.3%

The start up or principal amount (P) = $181.25

Simple interest after 7 years (SI) = $1450

Time or duration (T) = 7 years

To calculate the rate percentage of interest;

R = SI × 100/P×T

R = 1450 × 100/ 181.25 × 7

R = 145000/1268.75

R = 114.3%

Therefore, the interest rate percentage of the savings account is = 114.3%

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Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Given:

The expression is,

Explanation:

Simplify the expression.

The function is not defined at which denominator is equal to 0. So,

Thus function is defined for all values of x except 0 and 7. So domain of the function is,

Answer:

Expression: -7 + 8f - 2b - f + 3b + 6

# of Terms: 6

Like Terms: 8f and f, -2b and 3b, and -7 and 6

Coefficients: 8, 1, -2, and 3

Constants: -7 and 6

Expression: -11x + 4 + 8x - 4 + 3x

# of Terms: 5

Like Terms: -11x, 8x, and 3x & 4 and -4

Coefficients: -11, 8, and 3

Constants: 4 and -4

Step-by-step explanation:

The coefficient is the number in front of the variable.

The variable is any letter that you may see in an expression.

Terms are the numbers and variables, that are separated by the different signs.

Like terms are the terms that share the same variable/exponent.

Constants are the terms without variables.

Hope this helps you :)

Sorry if it's somehow wrong.