Can someone please help me answer these 2 questions with a full explanation so I can do the rest on my own? will give brainliest to the best description of how you got your answer.

Can Someone Please Help Me Answer These 2 Questions With A Full Explanation So I Can Do The Rest On My

Answers

Answer 1

Answer:

a)  ∠ABC = 54°

a)  ∠ABC = 43°

Step-by-step explanation:

Trigonometric ratios

\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)

where:

\(\theta\) is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

Part (a)

Use the cos trig ratio to find an expression for the measure of BD:

\(\implies \sf \cos (38^{\circ})=\dfrac{BD}{24.3}\)

\(\implies \sf BD=24.3\cos (38^{\circ})\)

Use the cos trig ratio and the found length of BD to find angle ABD:

\(\sf \implies \cos(ABD)=\dfrac{BD}{19.9}\)

\(\sf \implies \angle ABD=\cos^{-1}\left(\dfrac{24.3\cos (38^{\circ})}{19.9}\right)\)

\(\sf \implies \angle ABD=15.79446612...^{\circ}\)

Therefore:

\(\sf \implies \angle ABC=\angle ADB + 38^{\circ}\)

\(\sf \implies \angle ABC=15.79446612...^{\circ}+ 38^{\circ}\)

\(\sf \implies \angle ABC=54^{\circ}\:\:(nearest\:degree)\)

Part (b)

Use the tan trig ratio to find angle CAD:

\(\implies \sf \tan(CAD)=\dfrac{4.9}{7.4}\)

\(\implies \sf \angle CAD=\tan^{-1} \left(\dfrac{4.9}{7.4}\right)\)

\(\implies \sf \angle CAD=33.5110188...^{\circ}\)

Therefore:

\(\sf \implies \angle BAD=13^{\circ}+33.5110188...^{\circ}\)

\(\sf \implies \angle BAD=46.5110188...^{\circ}\)

∠ABC = ∠ABD

Interior angles of a triangle sum to 180°

\(\sf \implies \angle ABD + \angle BAD + \angle BDA=180^{\circ}\)

\(\sf \implies \angle ABC + 46.5110188...^{\circ} + 90^{\circ}=180^{\circ}\)

\(\sf \implies \angle ABC=43^{\circ}\:\:(nearest\:degree)\)


Related Questions

What is the radius of a circle whose circumference is 1611?

Answers

Answer:

256.4

Step-by-step explanation:

This is Rylan from yesterday

What is the radius of a circle whose circumference is 1611?

Help me please !!!!
7,8,9

Answers

I do not see an image

Find the value of x
(9x-38)+(4x+23)=180

Answers

Answer:

x=15

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

9x−38+4x+23=180

9x+−38+4x+23=180

(9x+4x)+(−38+23)=180(Combine Like Terms)

13x+−15=180

13x−15=180

Step 2: Add 15 to both sides.

13x−15+15=180+15

13x=195

Step 3: Divide both sides by 13.

13x/13=195/13

Answer:

15

Step-by-step explanation:

9x-38+4+23=180

13x-15=180

13x=195

x=15

Underwater pressure consists of atmospheric pressure, which is
101
101101 kilopascals
(
kPa
)
(kPa)left parenthesis, start text, k, P, a, end text, right parenthesis, plus
101

kPa
101kPa101, start text, k, P, a, end text of hydrostatic pressure for every
10
1010 meters
(
m
)
(m)left parenthesis, start text, m, end text, right parenthesis of depth under water. Which inequality best represents the depth,
d
dd, in meters, that is permitted for a scuba diver who is advised not to exceed
220

kPa
220kPa220, start text, k, P, a, end text of underwater pressure?

Answers

The inequality representing the maximum depth permitted for a scuba diver is:
d < 11 meters

To find the inequality representing the maximum depth permitted for a scuba diver, we need to set up an inequality with underwater pressure (consisting of atmospheric pressure and hydrostatic pressure).
Underwater pressure is given by the equation:
Underwater Pressure = Atmospheric Pressure + Hydrostatic Pressure
where:
Atmospheric Pressure = 101 kPa
Hydrostatic Pressure = 101 kPa for every 10 meters of depth (101 kPa/10 m = 10.1 kPa/m)
Depth = d meters
Now, we know the maximum underwater pressure for the scuba diver is 220 kPa.

So, we set up the inequality:
220 kPa > 101 kPa + 10.1 kPa/m * d
Now, we need to solve for d:
220 kPa - 101 kPa > 10.1 kPa/m * d
119 kPa > 10.1 kPa/m * d
Now, divide both sides by 10.1 kPa/m:
119 kPa / 10.1 kPa/m > d
11.7821782... > d
Since we are finding the depth, we can round down to the nearest whole number:
11 > d
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Question: Underwater pressure consists of atmospheric pressure, which is 101 kilopascals (kPa), plus 101 kPa of hydrostatic pressure for every 10 meters (m) of depth under water. Which inequality best represents the depth, d, in meters, that is permitted for a scuba diver who is advised not to exceed 220 kPa of underwater pressure?

101+ 101d≤ 220

101+10.1d ≤ 220

101+10.1d> 220

4

101+101d> 220

Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.

sqrt 2x minus 7 equal 1

Answers

The solution for the given equation √2x - 7 = 1 is  extraneous .

Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Solve for x , √2x - 7 = 1

1x − 2+1x + 2=4(x − 2)(x + 2) .

1x − 2+1x + 2=4(x − 2)(x + 2)

(x − 2)(x + 2)(x − 2)+(x − 2)(x + 2)(x + 2)=4(x − 2)(x + 2)(x − 2)(x + 2)

(x−2)+(x+2)=4

2x=4

x=2

However, since division by zero is prohibited, the number 2 is not included in the range of the original equation because it would reduce one of the fractions' denominators to zero.

As a result, it can't be one of the roots of the initial equation.

2 is therefore an erroneous solution. As a result, the equation has no answers.

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Mason invests money in an account paying simple interest. He invests $70 and no money is added or removed from the investment. After one year, he has $73.50. What is the simple percent interest per year?

Answers

answer: 5%

explanation: subtract the principal from the total amount, then divide the difference by the principal

>> 73.50 - 70 = 3.50

3.50 / 70 = 0.05

0.05 x 100 = 5%

Calculate the total surface area of a hexagonal pyramid with apothem as base 20 length 18 and slant height 15

Answers

The total surface area of the hexagonal pyramid is approximately 1640.20 square units.

To calculate the total surface area of a hexagonal pyramid, you need to consider the base and the lateral faces.

First, let's find the area of the base. A hexagonal pyramid has a regular hexagon as its base. Applying the following formula to calculate the area of a regular hexagon

Area of hexagon = (3√3 × s²) / 2

Where s denotes the length of a side of the shape. In this case, the apothem is given as 20, so the side length (s) can be found using the formula:

s = 2 × apothem / √3

Substituting the given apothem value, we get:

s = 2 × 20 / √3 ≈ 23.094

Area of base = (3√3 × s²) / 2

            = (3√3 × 23.094²) / 2

            ≈ 598.47

Next, let's find the area of the lateral faces by applying the formula for area of triangle, such that, each lateral face of a pyramid is in shape of a triangle.

Area of triangle = (base × height) / 2

In this case, the base of each triangle is the side length of the hexagon (s) and the height is the slant height (15). The hexagonal pyramid has 6 lateral faces, so the total area of the lateral faces can be found by multiplying the area of one triangle by 6:

Area of lateral faces = 6 × ((s × 15) / 2)

                    = 6 × (23.094 × 15) / 2

                    ≈ 1041.73

Finally, to find the total surface area, we add the area of the base to the area of the lateral faces:

Total surface area = Area of base + Area of lateral faces

                 = 598.47 + 1041.73

                 ≈ 1640.20

Therefore, the total surface area of the hexagonal pyramid is approximately 1640.20 square units.

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3 ratios equivalent to 6/18

Answers

Answer:

Step-by-step explanation:

divide them both by 2

which is 3/ 9

divide them both by 3

whic is 2/6

and finally divide them both by 6

which is 1/3

you can multiply them both by an number as well

take care



Which number line shows all the values of that make the inequality -3 +1 < 7 true?

Answers

Answer:

Number line D is true

Step-by-step explanation:

Given

\(-3x + 1 < 7\)

See attachment for number lines

Required

Which number line makes the inequality true

First, we solve for x in \(-3x + 1 < 7\)

\(-3x < 7 - 1\)

\(-3x < 6\)

Divide through by -3

\(\frac{-3x}{-3} < \frac{6}{-3}\)

\(x > -2\)

The inequality means x is greater than -2.

This means that, the line must point to the right of -2 and the "greater than" means that the circle must be opened

Number line D is true

Which number line shows all the values of that make the inequality -3 +1 &lt; 7 true?

Someone please help me! Which one is independent and dependent

Someone please help me! Which one is independent and dependent

Answers

Answer:

The top is independent

The bottom is dependent

Step-by-step explanation:

     The top is independent because it does not rely on another variable. It is the "affector" and not dependent on it.

     The bottom is dependent because it does rely on another variable. It is dependent on this other variable because it will be affected by any changes in that other variable.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

The table shows the cost in dollars, y, for shipping x number of chargers and electronic tablets.



Which function shows the combined cost in dollars, y, for three shipments with x number of chargers and tablets?

y = 2.00x + 4.00
y = 6.00x + 12.00
y = 3.50x + 2.50
y = 10.50x + 7.50

Answers

The answer is y=6.00x+12.00,if i’m wrong then i’m so sorry

Select all that are equivalent to sin ZGFH.

Select all that are equivalent to sin ZGFH.

Answers

Answer:

<fgh <gfh

Step-by-step explanation:

solve for x ?
3(x - 2) = 18

Answers

Answer:

X=8

Step-by-step explanation:

3x-6=18

3x=18+6

3x=24

X=24÷3

X=8

Answer:

x=2

Step-by-step explanation:

,...................

GEOMETRY, pls help!!!

GEOMETRY, pls help!!!

Answers

Tus=76 degrees I hope this helps!


Factor the expression.

20g3 + 24g2 – 15g – 18


(4g2 + 6)(5g – 3)


(4g2 – 6)(5g + 3)


(4g2 – 3)(5g + 6)


(4g2 + 3)(5g – 6)

Answers

Answer:

C

Step-by-step explanation:

hope this helps I'm sorry if you need work I will do it if so

Answer:

0.03 3.00 4.00 516388383

At a sale , dresses were sold for 35% of their original price. If the dresses originally cost 40$ each how much did a dress cost on sale

Answers

Answer:

$14

Step-by-step explanation:

35% is the same as multiplying by .35

40 * .35 = 14

The most recent era of I/O psychology witnessed the creation of which of the following business titles?
a. Chief Executive Officer (CEO)
b. Chief Financial Officer (CFO)
c. Chief Operating Officer (COO)
d. Chief Information Officer (CIO)

Answers

The business titles that the most recent era of I/O psychology has created are as follows:

Chief Executive Officer (CEO)

Chief Financial Officer (CFO)

Chief Operating Officer (COO)

Chief Information Officer (CIO)

How all of the four options are correct?

I/O psychology refers to the science of understanding individuals and how they interact with their work. It is a branch of psychology that deals with the study of workplace environments, human behavior, and organizational behavior. It's a field of psychology that works to make the workplace more pleasant and comfortable for employees .I/O psychology has seen the development of several business titles.

These are the most recent titles that have been created, and their main tasks are mentioned below:

Chief Executive Officer (CEO): The CEO is responsible for the overall management of the company, and he or she is in charge of all of its operations. The CEO's main responsibility is to ensure that the company achieves its objectives.

Chief Financial Officer (CFO): The CFO is in charge of the company's finances, and he or she is responsible for managing its cash flow, analyzing the company's financial statements, and reporting on the company's financial performance. The CFO's main task is to ensure that the company has sufficient funds to operate smoothly.

Chief Operating Officer (COO): The COO is in charge of the company's operations, and he or she is responsible for ensuring that the company's processes run efficiently. The COO's main task is to ensure that the company's products or services are of the highest quality.

Chief Information Officer (CIO): The CIO is in charge of the company's information technology, and he or she is responsible for ensuring that the company's IT infrastructure runs smoothly. The CIO's primary task is to ensure that the company's technology is up to date and that it meets the company's needs.

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Find out significant number of digits below: values # of significant digits 12.03 58.2 0.002 0.0030 0.00050004 2. Convert following: a) 0.05 km to mm b) 0.15 hm to cm c) 280 dm to dam d) 500,000 mm to km e) 85 m to hm 3. Solve to the significant number of digits (a) 25.3456 +888.010 + 53.11 + 7-10 (b) (45.805*2.00)/5.0+ 0.1 4. Solve and write answer in scientific notation with significant digits: (a) 70,000,000 * 9.8540*2.00*10^8 (b) 8.888*10*14*4.00*10^-6 - 3.0*10^7 5. Using trigonometrical functions, find out missing part (? or x) in the following figures. B 14 115 A 10 C 56 35

Answers

The answers of all the parts are solved below:

1. Significant digits:

12.03: 4 significant digits

58.2: 3 significant digits

0.002: 1 significant digit

0.0030: 4 significant digits

0.00050004: 7 significant digits

2: 1 significant digit

2. Conversions:

0.05 km to mm: 0.05 km = 0.05 x 10^6 mm = 50,000 mm

0.15 hm to cm: 0.15 hm = 0.15 x 100 cm = 15 cm

280 dm to dam: 280 dm = 280 x 10 dam = 2,800 dam

500,000 mm to km: 500,000 mm = 500,000/10^6 km = 0.5 km

85 m to hm: 85 m = 85/100 hm = 0.85 hm

3. Significant digits in calculation:

(a) 25.3456 +888.010 + 53.11 + 7-10: 925.456, 4 significant digits

(b) (45.805 * 2.00) / 5.0 + 0.1: 13.52, 4 significant digits

4. Scientific notation with significant digits:

(a) 70,000,000 * 9.8540 * 2.00 * 10^8 = 1.38 x 10^18, 2 significant digits

(b) 8.888 * 10^14 * 4.00 * 10^-6 - 3.0 * 10^7 = 3.555 x 10^7, 4 significant digits

Trigonometry:

Given triangle ABC with angle B = 56, angle C = 35 and side A = 10. To find side B.

Using the law of cosines, B = sqrt(A^2 + C^2 - 2 * A * C * cos(B)) = sqrt(10^2 + 56^2 - 2 * 10 * 56 * cos(56)) = 115, 3 significant digits.

Thus, All the answers are solved above.

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A 10-foot board is reduced in a 4-foot board. What is the percent decrease in length?

Answers

the percent decrease in length is 60%

Solve forj: -16 = j/2 + -19

Answers

Given:

\(-16=\frac{j}{2}+(-19)\)

To solve for j :

Explanation:

Multiplying by 2 on both sides,

\(-32=j-38\)

Adding 38 on both sides, we get

\(\begin{gathered} -32+38=j-38+38 \\ 6=j \end{gathered}\)

Final answer:

The value of j is 6.

Mei has 2 yellow teacups and 5 brown teacups Which ratio compares the number of brown teacups to the total number of teacups

Answers

Answer:  5: 7

Step-by-step explanation:

The total number for teacups: 2 yellow teacups + 5 brown teacups = 7 teacups

the ratio compares the number of brown teacups to the total number of teacups is :

5: 7

The ratio that compares the number of brown teacups to the total number of teacups is 5: 7

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We are given that Mei has 2 yellow teacups and 5 brown teacups.

The total number for teacups is;

2 yellow teacups + 5 brown teacups = 7 teacups

Therefore, the ratio compares the number of brown teacups to the total number of teacups can be;

5: 7

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write the equation of the line that contains the following points in standard form (16,-3),(-4,12)

Answers

Answer:

y = -3/4x + 9

Step-by-step explanation:

first, find the slope by taking the difference of the y-values / difference of the x-values

(-3-12) / (16-(-4)) which equals -15/20 or -3/4

now use that value to represent the 'm' in the formula in order to find 'b'

y = mx + b

-3 = -3/4(16) + b

-3 = -12 + b

9 = b

y = -3/4x + 9

Which equation can be used to find the area of the figure below? 10 18 A = (109) +(16-8) GO A= (*)+(108) HOA = (4)+(6 8) 3. A = (6-8)+(108) 2021 Iate Ed

Answers

Answer

Second option is correct.

Option G is correct.

Area of the figure = (6.8/2) + (10.8)

Explanation

We can see that the figure is a combination of a triangle and a rectangle

Area of a rectangle = Length × Width

For the rectangular part,

Length = 10

Width = 8

Area of the rectangle = 10 × 8 = (10.8)

Area of a triangle = ½ × Base × Height

For this triangle,

Base = 16 - 10 = 6

Height = 8

Area of the triangle = ½ × Base × Height

Area of the triangle = ½ × 6 × 8 = (6.8/2)

Area of the figure = Area of the triangle + Area of the rectangle

Area of the figure = (6.8/2) + (10.8)

Hope this Helps!!!

-(3z)2 to the second power

Answers

Answer:

-12x

Step-by-step explanation:

-3x2^2

-3x4

=-12x

Shelley's kitten weights 2 1/3 times as much as she did last year. She now weighs 21 ounces. What did the kitten weight a year ago?

Answers

Answer:

weight of the kitten last year = 9 ounces

Step-by-step explanation:

Let

x = weight of the kitten last year

Weight of the kitten this year = 2 1/3 * x = 21

7/3*x = 21

7/3x = 21

x = 21 ÷ 7/3

x = 21 × 3/7

= 63/7

x = 9 ounces

weight of the kitten last year = 9 ounces

Casey currently owes $500 to his parents. He plans to pay them $60 per month until it is
paid off. Sally also owes her parents money. She borrowed $600 from them and plans to
pay them back $80 per month. Is there a time when they will both owe their parents the
same amount of money?

Answers

Answer:

They will both owe their parents $200 when Casey is paying his 5th month and Sally is paying on her 5th month.

Step-by-step explanation:

If Casey pays 60 dollars after 5 months, he will have payed $300 dollars. He still needs to pay $200.(500-300) If Sally pays 80 dollars after 5 months, she will have payed $400 dollars. She still needs to pay $200. (600-400)

min ti x₁ = x₂-u x₂ = u -144²1 (x₁, x₂) arbitrary starting point. Let (0,0) be the Check whether situation (x₁, x₂)→ (0,0) shortest time is met. the beginning of the the coordinate. generality condition of the

Answers

It appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).

Here, we have,

given that,

min t_i

x₁ = x₂-u

x₂ = u

-1 ≤ u ≤ 1, (x₁, x₂) are arbitrary starting point.

and origin  (0,0) be the begging of the coordinate.

also given that, (x₁, x₂)→ (0,0)

so, min t_i at origin (0,0) = t

Therefore, the generality condition of the situation does not met.

so, we get,

The given system can be represented by the following equations:

x₁' = x₂ - u

x₂' = u

To analyze the behavior of the system, we can examine the dynamics of each variable separately.

For x₁:

x₁' = x₂ - u

The equation implies that the rate of change of x₁ is dependent on x₂ and the input u. The term (-u) acts as a control input that can affect the dynamics of x₁. If we choose an appropriate control input u, we can manipulate the rate of change of x₁ and potentially minimize the time required to reach the origin.

For x₂:

x₂' = u

The equation for x₂ indicates that the rate of change of x₂ is solely determined by the input u. The variable x₂ can be directly controlled by the input u, allowing us to influence its behavior and potentially expedite convergence.

Based on the given equations, it appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).

By carefully selecting the control input, it is possible to achieve the shortest time to reach the origin from any arbitrary starting point (x₁, x₂).

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Research indicates that there are age differences in the types of coping strategies used across the life span. For example, older adults are more likely to use (fill in the blank) than younger adults

Answers

The answer to this question is less coping strategies.

What are coping strategies?

Coping strategies are ways through which an individual gains some control over their emotions

Yes research has proved that the   Younger adults use more coping strategies than Older adults because now a days so methods for coping strategies like Cigerrate, alcohol, drugs etc things are easily being available to them and they use that to overcome their emotions

where as older adults have already seen most of their life so they are less likely to use these things to overcome their emotions

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Given the number of rows and the number of columns, write nested loops to print a rectangle.

Answers

Answer:

You need to use a nested for loop. Use the range() builtin to produce an iterable sequence. The outer for loop should iterate over the number of rows.

Step-by-step explanation:

Use the range() builtin to produce an iterable sequence. The outer for loop should iterate over the number of rows overtime.

A line intersepts the point (3,-4) and has a slope of 17 . What is the slope-intersept equation for this line?

Answers

Answer:

y=17x-55

Step-by-step explanation:

y-(-4)=17(x-3)

y+4=17x-51

y=17x-55

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Search the Internet to locate a conversion chart to help you convert the measurements. You can also search the Internet to locate a recipe.assignment Guidelines:Include the title.Include the original recipe with the US customary unit of measurements.Include the recipe with converted measurements.Include a sheet that shows your conversion calculations.Use a recipe that has at least ten ingredients.For extra credit you can make the dish, take a picture or video of it, and submit that to your teacher.Your project should be:well-organizedcontain appropriate languagecontain proper grammar, punctuation, and spellingcontain information from credible sources. (Only use credible sources when researching topics. A credible source provides accurate information on the subject matter. If you are using information from a blog, identify the author and check to see if the author is an expert in the field. Some credible sources are government agencies (.gov) educational articles (.edu), and mental health journals.)Submission Requirements:Your project should be submitted electronically, double-spaced if it is a writing assignment, submitted by the due date set by the instructor, and original. If direct quotations are included, they should be cited. If you experience technical difficulties submitting your project, inform your instructor right away. Finally, your instructor will inform you how to name the files you submit What kind of solution causes crenation to happen to red blood cells?. The title of the story refers literally to The long, paved highway leading into Natchez A long path that leads through the country into Natchez The path the hunter follows through the woods A short, worn path that leads through a village During the year, smite company declared and paid dividends in the amount of $50,000. as part of the closing process, smite should:_________ how did Madison stance differ from patrick henry? What causes most of the stress humans have put on the environment?.