Please help me out are these angles adjacent, vertical, complementary, or supplementary? image attached below! =]

Answer:

5) A = 70°

6) X = 55°

7) Y = 8°

8) A = 51°

Step-by-step explanation:

There really no way to explain. All you ahve to do is inverse function to solve for the angle. Use a calculator.

5) sin(A) = 0.9397

[tex]A=sin^-1(0.9397)\\\\A=69.701...\\\\A = 70\\[/tex]

6) cos(X) = 0.5763

[tex]X=cos^-1(0.5763)\\\\X=54.998...\\\\X=55\\[/tex]

7) tan(Y) = 0.1405

[tex]Y=tan^-1(0.1405)\\\\Y=7.997...\\\\Y = 8\\[/tex]

8) sin(A) = 0.7771

[tex]A=sin^-1(0.7771)\\\\A=50.995...\\\\A = 51\\[/tex]

Answer:

Step-by-step explanation:

Yes, that is correct. The measure of the exterior angle of a triangle is equal to the sum of the two remote interior angles. In other words, if you extend one side of a triangle to form an exterior angle, then the measure of that exterior angle is equal to the sum of the measures of the two interior angles that are not adjacent to the exterior angle. This property is known as the Exterior Angle Theorem.

Mathematically, we can express this as:

Exterior angle = Sum of remote interior angles

Or, in symbols:

∠ABC = ∠A + ∠C

where ∠ABC is the exterior angle formed by extending side BC of triangle ABC, and ∠A and ∠C are the two remote interior angles.

Here are two more examples that illustrate the Exterior Angle Theorem:

Example 1:

Consider a triangle ABC with angles A, B, and C as shown below. If we extend side AC to form an exterior angle, then we can label the exterior angle as ∠DCE. The remote interior angles are ∠B and ∠A.

css

Copy code

      C

     / \

    /   \

   /     \

  /       \

 /         \

/______\

A             B

      D

According to the Exterior Angle Theorem, we have:

∠DCE = ∠B + ∠A

The length οf side x can be any value, as lοng as it is nοt 0.

We can use the trigοnοmetric ratiοs fοr 30°-60°-90° triangles tο sοlve fοr the value οf x.

In a 30°-60°-90° triangle, the sides are in the ratiο:

1 : √3 : 2

In this case, we have the side οppοsite the 60° angle (which is the lοnger leg) equal tο x√3 and the side οppοsite the 30° angle (which is the shοrter leg) equal tο x.

Sο we can set up the fοllοwing equatiοn:

x√3 = 2x sin 60°

Simplifying the right side:

sin 60° = √3/2

2x sin 60° = 2x(√3/2) = x√3

Substituting back intο the equatiοn:

x√3 = x√3

This is true fοr any value οf x, as lοng as x is nοt equal tο 0. Therefοre, the length οf side x can be any value, as lοng as it is nοt 0.

Learn more about trigοnοmetric ratiοs

https://brainly.com/question/25122832

#SPJ1

Answer:

x < -3

Step-by-step explanation:

x + 5 < 2

x < -3

So, the answer is x < -3

[tex]f(-11) = 3(-11)^{2} - 5 = 3(11)^{2} - 5 = 3(121) - 5 = 363-5= \bf 358[/tex]

Answer:D

Step-by-step explanation:

if x==-11

then,

f(-11) means you should write -11 in every x you see.

[tex]f(-11)=3*(-11)^{2} -5=3*121-5=363-5=358[/tex]

Answer:

1000-39=961

so 961 apples are left.

The inequality to replace the symbol is > and the expression is -4/9 > -5/9​.

We can utilize the following parameters in our calculation based on the question:

-4/9* -5/9​

Represent the symbol * as a blank

This gives

-4/9 [  ] -5/9​

Evaluate the quotients

-0.44444444444 [  ] -0.55555555555

By comparison, 0.44444444444 is greater than -0.55555555555

Using the above as a guide, we have the following:

-0.44444444444 [ > ] -0.55555555555

So, we have

-4/9 > -5/9​

Hence, the inequality is >

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

After answering the given query, we can state that Therefore, we can function anticipate that 8 to 16 of the upcoming pastries will be bran muffins.

Mathematicians research numbers, their variations, equations, associated structures, shapes, and possible configurations of these. The relationship between a group of inputs, each of which has a corresponding outcome, is referred to as a "function." A function is a relationship between inputs and outputs where each input results in a unique, distinct output. Each function has a domain, codomain, or scope assigned to it. Functions are commonly denoted by the letter f. (x). An cross is entered. On functions, one-to-one capabilities, so several capabilities, in capabilities, and on functions are the four main categories of available functions.

We must determine the percentage of muffins that were bran muffins in the prior sales in order to determine how many of the subsequent 16 muffins sold would be bran muffins.

In the prior auction, the following amount of muffins were sold in total:

25 + 12 + 3 + 10 = 50

The percentage of muffins that were wheat muffins is as follows:

25/50 = 0.5

This indicates that wheat muffins accounted for 50% of all sales.

This ratio can be used to make a forecast about how many bran muffins will be sold over the course of the following 16 muffins. Therefore, we anticipate that roughly 50% of the subsequent 16 batches of muffins sold will be wheat muffins:

0.5 x 16 = 8

Therefore, we can anticipate that 8 to 16 of the upcoming pastries will be bran muffins.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

On solving the provided question we cans ay that As a result, x + 4 function denotes the number of years the principal is older than the instructor, where x is the student's age in years.

Mathematicians examine numbers with their modifications, equations and associated structures, forms and their locations, and feasible positions for these things. The term "function" indicates the connection between a collection of inputs, each of which has a corresponding output. A function is a connection of inputs and outputs where each supply leads to a specific, identifiable outcome. Each function is assigned a domain, a codomain, or a scope. The letter f is widely used to denote functions (x). The symbol for entry is an x. The four primary types of accessible capabilities are on functions, yet another skills, so multiple capabilities, in capabilities, and on operations.

Let's start by writing down the phrases from the problem:

• The teacher's age is six years older than the student's age: T = 2x + 6, where T is the age of the instructor.

• The principal's age is ten years older than the student's age: P = 3x + 10, where P is the age of the principal.

To determine how many years the principal is older than the instructor, subtract the teacher's age from the principal's age:

P - T = (3x + 10) - (2x + 6)

When we simplify the equation, we get:

P - T = x + 4

As a result, x + 4 denotes the number of years the principal is older than the instructor, where x is the student's age in years.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

The cοrrelatiοn cοefficient οf data is 1.

A statistical measure knοwn as cοrrelatiοn expresses hοw clοsely twο variables are related linearly (meaning they change tοgether at a cοnstant rate).

The cοnstant cοefficient (οr cοnstant term) is the cοefficient nοt attached tο variables in an expressiοn. Fοr example, the cοnstant cοefficients οf the expressiοns abοve are the number 3 and the parameter c, respectively.

The cοefficient attached tο the highest degree οf the variable in a pοlynοmial is referred tο as the leading cοefficient. Fοr example, in the expressiοns abοve, the leading cοefficients are 2 and a, respectively.

In excel, use fοllοwing cοmmand tο find r

=>cοrrel(select data οf grade, select data οf Reading level)  

press enter

=> 1  

i.e. 1.00

The required cοrrelatiοn cοefficient r is 1.00

To learn more about correlation coefficient refer  below link

https://brainly.com/question/29232157

#SPJ1

The mathematical expression 23 - √81 has a value of 14 when evaluated, mathematically

Given the following expression

23 - √81

The expression 23 - √81 involves finding the difference between the number 23 and the square root of 81.

We know that the square root of 81 is 9, so we can simplify the expression to:

23 - √81 = 23 - 9

Evaluate the difference

23 - √81 = 14

Therefore, the value of the expression is 14.

In evaluating expressions like these, it is important to be familiar with basic arithmetic operations and the rules of exponents and radicals.

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

Answer:

80

Step-by-step explanation:

Answer:

for any regular polygon, the sum of the exterior angles is always 360 degrees. In a regular polygon, all exterior angles have the same measure, which is equal to 360 degrees divided by the number of sides.

Let n be the number of sides of the polygon. Then we have:

360/n = 21.2

To solve for n, we can cross-multiply and simplify:

360 = 21.2n

n = 360/21.2

n ≈ 16.98

Since n must be a whole number (the number of sides in a polygon must be a whole number), the closest option is D) 17. Therefore, the polygon has 17 sides.

This means that option A, "4 < d < 26," is the correct answer.

The triangle inequality can be used to calculate various distances between Sherry and Amy. The lengths of any two sides of a triangle must add up to more than the length of the third side in order for the triangle inequality to hold.

If we assume that d is the separation between Amy and Sherry in this instance, we can then create a triangle with sides that are 11, 15, and d in length. The inequality of the triangle indicates that:

11 + 15 > d

or

d < 26

and

15 + d > 11

or

d > 4

So, d might have any of the following values:

4 < d < 26

This indicates that "4 d 26" in option A is the right response.

To know more about Inequality visit:

https://brainly.com/question/27989101

#SPJ9

Step-by-step explanation:

The height of the cable above the bridge is given by the function:

h(x) = 0.25x^2 - 0.8x + 30

To find the minimum height of the cable above the bridge, we need to find the vertex of the parabola, which is the lowest point.

The x-coordinate of the vertex is given by:

x = -b / 2a

where a = 0.25 and b = -0.8. Substituting these values, we get:

x = -(-0.8) / 2(0.25) = 1.6

So the vertex is at x = 1.6.

To find the height of the cable at the vertex, we substitute x = 1.6 into the equation for h(x):

h(1.6) = 0.25(1.6)^2 - 0.8(1.6) + 30 = 29.48

Therefore, the minimum height of the cable above the bridge is approximately 29.48 feet (rounded to two decimal places).

Step-by-step explanation:

The Victoria (Old Traffic) Bridge in Saskatoon, Canada, has a length of approximately 230 meters (755 feet). To estimate the length of the bridge in both SI and imperial units, you can use the following referents:

SI Units:

To estimate the length of the bridge in SI units, you can use meters as the referent. The length of the Victoria Bridge can be measured using a distance measuring device such as a surveyor's wheel, a laser distance meter, or a tape measure. You can start at one end of the bridge and measure the distance to the other end. This will give you an accurate measurement of the length of the bridge in meters.

Imperial Units:

To estimate the length of the bridge in imperial units, you can use feet as the referent. You can use a tape measure or a distance measuring wheel that measures in feet. You can start at one end of the bridge and measure the distance to the other end. This will give you an accurate measurement of the length of the bridge in feet.

To convert the length from meters to feet or vice versa, you can use the following conversion factors:

1 meter = 3.28 feet

1 foot = 0.3048 meters

Therefore, to convert the length of the Victoria Bridge from meters to feet, you can multiply the length in meters by 3.28. For example, 230 meters x 3.28 = 754.4 feet (rounded to the nearest tenth).

To convert the length of the Victoria Bridge from feet to meters, you can multiply the length in feet by 0.3048. For example, 755 feet x 0.3048 = 230.1 meters (rounded to the nearest tenth).

Answer:

the answer is b because 16km is resolved by 19.2

Answer: To solve the system of equations using the matrix method, we first need to set up the corresponding coefficient matrix and augmented matrix:

Coefficient matrix:

[1  4]

[2 -3]

Augmented matrix:

[1  4 | 9]

[2 -3 | 7]

To solve the system using matrix method, we perform row operations on the augmented matrix to get it into row echelon form, and then back substitute to obtain the solutions.

Performing row operations:

Multiply the first row by 2 and subtract the result from the second row:

[1  4 | 9]

[0 -11| -11]

Divide the second row by -11:

[1  4 | 9]

[0  1 | 1]

Subtract 4 times the second row from the first row:

[1  0 | 5]

[0  1 | 1]

The row echelon form of the augmented matrix is:

[1  0 | 5]

[0  1 | 1]

Therefore, the solution is x = 5 and y = 1.

So the solution of the system of equations is x = 5 and y = 1.

Step-by-step explanation:

Answer:

(x - 5)^2 + (y - 5)^2 = 25

Step-by-step explanation:

If a circle has no x-intercepts and no y-intercepts, it means that the circle does not intersect either the x-axis or the y-axis. In other words, the center of the circle must lie at some point (h, k) where h and k are not equal to zero.

The general equation of a circle with center (h, k) and radius r is:

(x - h)^2 + (y - k)^2 = r^2

Since we know that the circle has a radius of 5, we can substitute r = 5 into the equation:

(x - h)^2 + (y - k)^2 = 25

Now, we need to find values for h and k such that the circle has no x-intercepts and no y-intercepts. Since the x-intercepts occur when y = 0 and the y-intercepts occur when x = 0, we need to make sure that neither of these values satisfies the equation.

Let's first consider the x-intercepts. We want to make sure that the circle does not intersect the x-axis, which means that the y-coordinate of the center must be equal to the radius. In other words, k = 5. Now, the equation becomes:

(x - h)^2 + (y - 5)^2 = 25

Next, we need to make sure that the circle does not intersect the y-axis, which means that the x-coordinate of the center must be equal to the radius. In other words, h = 5. Now, the equation becomes:

(x - 5)^2 + (y - 5)^2 = 25

Therefore, the equation of the circle that has no x-intercepts, no y-intercepts, and a radius of 5 is:

(x - 5)^2 + (y - 5)^2 = 25

Answer:

a) p(-6) = 30

b) c = -2 ,1

Step-by-step explanation:

[tex]p(c)=c^2+c[/tex]

a) Evaluate p(-6)

This mean input -6 into the equation to solve for p(-6) =

[tex]p(-6)=(-6)^2+(-6)\\\\p(-6)=36-6\\\\p(-6)=30\\[/tex]

(b) Solve for p(c) = 2.

[tex]p(c)=c^2+c\\\\2=c^2+c\\\\c^2+c=2\\\\c^2+c-2=0\\\\Factoring\\(c+2)(c-1)=0\\(c+2)=0,(c-1)=0\\c = -2 , 1[/tex]

Answer:1,200,000

Step-by-step explanation:

A loan for $3,400 at 16% should be paid first as it has the highest interest rate.

A loan is a financial agreement in which one party (the lender) agrees to give money, property, or other assets to another party (the borrower) in exchange for the promise of repayment with interest or other charges. Loans are typically used by individuals, businesses, or governments to finance specific projects, make purchases, or cover expenses.

Assuming that all other factors such as minimum payments and penalties are the same, the loan that you should try to pay off first is the one with the highest interest rate, as it will be accruing interest at a faster rate than the others.

Based on this reasoning, the loan that you should try to pay off first is option A, which has a higher interest rate of 16%.

Learn about loans here https://brainly.com/question/26011426

#SPJ1

Step-by-step explanation:

3x squared -9 = 12

3x squared = 12 + 9

3x squared = 21

am i doing the wrong maths?

is it find what 3x squared is or....

To divide 240g in the ratio 5:3:4, we need to find out the total number of parts of the ratio:

5 + 3 + 4 = 12

Now, we can find the value of one part of the ratio by dividing the total quantity by the total number of parts:

240g ÷ 12 = 20g

So, one part of the ratio is equal to 20g.

To find the quantities of each part of the ratio, we multiply the value of one part by the respective ratio number:

5 parts x 20g = 100g (for the first part)

3 parts x 20g = 60g (for the second part)

4 parts x 20g = 80g (for the third part)

Therefore, the quantities of 240g divided in the ratio 5:3:4 are 100g, 60g, and 80g respectively.

The value of x, considering the similar triangles, is given as follows:

B) 6.

Similar triangles are triangles that share these two features listed as follows:

Considering that the triangles for this problem are similar, the proportional relationship for the side lengths is given as follows:

9/3 = 12/4 = x/2.

Since the constant is of 3, the value of x is obtained with cross multiplication as follows:

x/2 = 3

x = 6.

More can be learned about similar triangles at brainly.com/question/14285697

#SPJ1

Answer:

see the attachment

Step-by-step explanation:

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that the shipment does not meet requirements.