Angelica says the tangent is the ratio of the length of the leg opposite angle A ∠ A over the length of the leg adjacent to angle A This means B C must have a length of 3 3 units A C must have a length of: 4 4 units. They can find the length of Latex A B using the Pythagorean Theorem and then use it to find the sine and cosine ratios. Graciella says that they cannot find the length of any side of the triangle and, therefore, cannot find the ratios for sine and cosine. Both students have errors in their reasoning. Identify the mistake Angelica made in her reasoning. Provide an example that shows why she is incorrect. Identify the mistake that Graciella made in her reasoning. Explain why she is incorrect. Find the ratios for the sine and cosine of angle A Explain your process.

Answers

Answer 1

Based on the trigonometry ratios and the Pythagorean theorem both of them were incorrect.

Cos A = 4/5; Sin A = 3/5

What is the Trigonometry Ratios?

The Trigonometry ratios relates the length of the sides of a right triangles. They are given as:

Sine ratio, sin ∅ = opp/hypCosine ratio, cos ∅ = adj/hypTangent ratio, tan ∅ = opp/adj.

What is the Pythagroean Theorem?

If two sides of a right triangle are known the third side can be determined using the Pythagorean theorem, which is given as, c² = a² + b², where and b are legs, and c is the hypotenuse of the right triangle.

1. Given that tan A = 3/4, it is not necessarily true that BC MUST have a length of 3 units, and AC MUST have a length of 4 units, because:

If BC = 9 units and AC = 12 units, the it will give us the same tangent ratio as:

tan A = 9/12 = 3/4.

Therefore, Angelica's mistake is stating that BC MUST be 3 units, and AC MUST be 4 units.

2. Knowing two length of the sides of a right triangle is enough information needed to find the length of the third side using the Pythagorean theorem, so Graceilla is incorrect.

3. Find AC using the Pythagorean theorem:

AB = √(3² + 4²)

AB = 5 units.

Cos A = adj/hyp = AC/AB

Cos A = 4/5

Sin A = opp/hyp = BC/AB

Sin A = 3/5

Learn more about the trigonometry ratios on:

https://brainly.com/question/10417664


Related Questions

Number two and three please asap

Answers

Answer: h and d

Step-by-step explanation:
the answer is correct because it shows it please give this a like

he price of a laptop was marked 80 percent off because it had a cracked screen.
If this resulted in a savings of $600, what is the value of x in the table above?

Answers

Answer:

Total Price = $750

Price Payed = $150

Step-by-step explanation:

Let me know if you need an explanation

Pythagorean Theorem

solve for the missing side round to the nearest 10th I will mark you BRAINLIEST IF ANSWEREE CORRECTLY NO LINKS IF YOU DO NOT KNOW THE ANSWER DONT COMMENT ON THIS THREAD

Answers

Answer 10

Step-by-step explanation:

its 8 when you round it to the nearest 10 its will give you 10

ur answer will be 10 i hope this helps

13. Miguel has two different cylindrical containers. The capacities of the two containers are
shown below.
30 pinto
4 gallons
Container X
Containery
not to soolo
Which statement correctly compares the capacities of the two containers?
A. Container X is 1 quart greater than Container Y.
B. Container X is 1 quart less than Container Y.
C. Container X is 26 quarts greater than Container Y.
D. Container X is 26 quarts less than Container Y.
M

Answers

The statement that correctly compares the capacities of the two containers is container X is 1 quart greater than Container Y.

How do we determine the correct statement?

In order to correctly compare the capacities of the two containers, the capacities have to be converted to quarts.

1 pint = 0.5 quart

Capacity of container Y = 30 / 0.5 = 15 quarts

1 gallon = 4 quarts

Capacity of container X =4 x 4 = 16 quarts

Difference in capacity = 16 - 15 = 1

To learn how to convert units, please check: https://brainly.com/question/25993533

select the correct number from each list to complete the equation.
8
-)+?
8
2
2.
-2
-2
Mit
to it
-4
3
-3
4

Answers

lto complete the equation.

8

-)+?

8

2

2.

-2

-2

Mit

to it

-4

3

-3

4

6

What financial risk does training employees on a computerized accounting system represent?

Without suitable security access protocols in place, well-trained employees could figure out ways to use the accounting system to _________
from the company
Reset
Next

Answers

Without security access protocols in place, well-trained employees could find ways to use the accounting system to divert or steal companies funds (money).

What are security access protocols?

A security protocol is known to be a kind of communication protocol that is said to be a well planned sequence of actions to be done by two or more firms so as to achieve their desired goal.

Conclusively, Note that when there is no good or suitable security access protocols that has been put in place by an organization or firm, well-trained employees could figure out ways to use the accounting system to  divert or steal companies funds (money) from the company to their own personal account.

Learn more about security access protocols from

https://brainly.com/question/1863524

can u guys please help me

Answers

Answer:

60.69cm^2

Step-by-step explanation:

5.1^2 = 26.01

5.1/2 = 2.55

2.55 × 5.95 = 15.1725

15.1725×4 = 60.69

60.69 + 26.01 = 60.69cm^2 nice

simplify 3(6a+3b)+5(2a-b).​

Answers

Answer:

28a+4b

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME WITH THIS.

Answers

Answer:

see below

Step-by-step explanation:

7a is a term

3 is a constant

8b and 5b are 'like' terms

write in logarithmic form 4^-3 = 1/64

Answers

Answer:

-3=log base 4 1/64

Step-by-step explanation:

This was hard to write because you cant do base on keyboard.

What is the length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees? (give the answer in decimal form rounded to the nearest tenth.)​

Answers

The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.

What is the length of the arc?

The arc length is defined as the interspace between the two points along a section of a curve.

An arc of a circle is any part of the circumference.

The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is given by;

[tex]\rm ARC =2\pi r \times \dfrac{\theta}{360}\\\\ARC =2\pi \times 12 \times \dfrac{45}{360}\\\\ ARC =3\times 3.14\\\\ARC =9.42[/tex]

Hence, the length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.

Learn more about arc here;

https://brainly.com/question/14506767

#SPJ1

Which expression is equivalent to 16^3? 2^7 2^11 2^12 2^64

Answers

2^12

Step-by-step explanation:

16^3 = 4096

2^7 =128

2^11 = 2048

2^12 = 4096

2^64 = really big (1.8x10^19 to 2 s.f)

Hope this helps!

When multiplying 286 x 23 what is the first step?

Answers

Answer: the answer to your question is 6,578

Step-by-step explanation:

Answer:

first step multiple 286×23=578

10.0% complete
Question
You are writing a book about a 3,030-mile bike race across the United States. You wonder about a title, and how many pedal strokes it takes to finish the race. Assuming a pedal stroke is about 16 feet on average, which of the following would be the best book title?

Answers

Answer:

Step-by-step explanation:

"One Billion Pedals to  Finish " seems like a good title to me, but, if you want a math correct title, then,  

3,030mi* 5280 ft. per mile = 15,998,400 ft.

now divide pedals into ft.  

15,998,400 / 16 =999,990     :D  do you think they did that on purpose?  made the answer  99999    :D  I think so,  soooo name the title  "One million pedals to finish"  or to be math accuate,  but less "pop" ,  then   "999,990  petals to finish"  

I like "One million pedals"  which do you like?  :/   The very first answer? but totally wrong?  :D,  yeah, go with the  " One Billion Pedals"   sure, it's inaccuarate   :DDD   but very amazing  :P

 

Hey whats 56x78 then divide it by 5.

Answers

Answer:

873.6

Step-by-step explanation:

Answer:

873.6

Step-by-step explanation:

56 x 78 is 4368

4268 / 5 is 873.6

Write the number in expanded NOTATION 14.95

Answers

14 + .90 + .05 ??
i think

In a round of mini-golf, Clare records the number of strokes it takes to hit the ball into the hole of each green.
2 3 1 4 5 2 3 4 3
She said that, if she redistributed the strokes on different greens, she could tell that her average number of strokes per hole is 3. Explain how Clare is correct.

Answers

Answer:

She is correct because 3 appears the most amount of times.

Roderick works as an architectural draftsman for an engineering firm. His monthly salary is $3,204.17. After taxes and other deductions, he takes home $2,317.56. His wife works as an electronics technician and earns $25.07 per hour. She works 37.5 hours each week and is paid every other week.
Based on this information, what is their gross income for six months?

Answers

Taxes are not deducted for gross income.

Roderick's gross income for 6 months = $3,204.17 × 6 = $19,225.02

Wife's gross income for 6 months = $25.07 × 37.5 × 26 = $25,057.5

Total gross income = $44,282.52

Help please with this

Answers

Answer:

85 and 91

Step-by-step explanation:

Determine the midpoint of each line segment with the given endpoints.

1. (-2,5) and (0,2)
2. (0,3) and (0,-3)
3. (-2,0) and (-4,0)
4. (9,0) and (0,-7)​

Answers

Answer:

(-1, 3.5)(0, 0)(-3, 0)(4.5, -3.5)

Step-by-step explanation:

Midpoint Formula

M = (x₁ + x₂ / 2, y₁ + y₂ / 2)

#1 : (-2,5) and (0. 2)

M = (-2 + 0 / 2, 5 + 2 / 2)M = (-2/2, 7/2)M = (-1, 7/2)M = (-1, 3.5)

#2 : (0, 3) and (0, -3)

M = (0 + 0 / 2, 3 - 3 / 2)M = (0, 0)

#3 : (-2, 0) and (-4, 0)

M = (-2 - 4 / 2, 0 + 0 / 2)M = (-6/2, 0)M = (-3, 0)

#4 : (9, 0) and (0, -7)

M = (9 + 0 / 2, 0 - 7 / 2)M = (9/2, -7/2)M = (4.5, -3.5)

Dan read 126 pages of his book. He has 68% of his book left to read. How many pages are
in his bool
Enter the number in the box.

Answers

Answer:

394

Step-by-step explanation:

If he has 68% left to read, then he read 100% - 68% = 32%.

32% of the number of pages, n, equals 126 pages.

0.32n = 126

n = 126/0.32

n = 393.75

Answer: 394

find the area of the shape below giving your answer to the 1 decimal place. 10cm, 15 cm​

Answers

Answer:

The area is : 189.27

Step-by-step explanation:

Rectangle: 10 x 15

Semicircle or half circle: A=πr2=π·52≈   78.53982 = 78.54/2 = 39.27

Add Reactangle: 150 + 39.27

If a and b are positive integers the system consists of which inequalities?

Answers

Answer:

D)   y > -ax + b

E)   y < ax - b

Step-by-step explanation:

The line with the negative slope (blue on attached diagram):

negative slope  →  -axshading above y  →  y >positive y-intercept  →  +b

Therefore:  y > -ax + b

The line with the positive slope (red on attached diagram):

positive slope  →  axshading under y  →  y <negative y-intercept  →  -b

Therefore:  y < ax - b

At a fudge shop, they cut a sheet of fudge into one-ounce pieces.
What would happen if they cut the sheet of fudge into one-pound pieces?
A.There would be more pieces.
B. There would be fewer pieces.
C. There would be no pieces.
D. There would be the same number of pieces.

Answers

Answer:

a

Step-by-step explanation:

A. 1 lb. is larger than 1 oz.

Please help me solve this

Answers

Answer:

[tex]x - 6 > - 2 \\ x > - 2 + 6 \\ x > 4[/tex]

Step-by-step explanation:

So, the answer is the first one

Answer:

{x | x ∈ R, x > 4}

Step-by-step explanation:

Given:  

x - 6 > -2

Add 6 to both sides:

⇒  x - 6 + 6 > -2 + 6

⇒  x > 4

Therefore, the solution set is:

{x | x ∈ R, x > 4}

A function with an input of 1 has an output of 3. Which of the following could not be the function equation?

y = 3 x
y = - x + 4
y = x - 2
y = 2 x + 1

Answers

Answer:

y = x - 2

Step-by-step explanation:

The easiet method is to plug in both the x and y value. If the statement is true, that means that answer choice is wrong. Doing this, you find that answer Choice 3 is not correct. That is your answer.


If you need $25,000 eight years from now, what is the minimum amount of money you need to deposit
into a bank account that pays an annual percentage rate (APR) of 5% that is compounded-
a. once a year?
Please Help me on this ! ( don’t send links)

Answers

About half of that because 8 x
12

Find a single expression that represents the area of the outer ring of the circle if the area of the whole circle is represented by the expression "25x2 − 12x − 9."

A) 18x2 − 12x − 6
B) 18x2 − 12x − 12
C) 32x2 − 12x − 6
D) 32x2 − 12x − 12

Answers

Answer:

18x2-12x-6

Step-by-step explanation:

I got it wrong and this was the answer. Take it or leave it

Square PQRS is drawn inside rectangle ABCD such that side PQ is on side AB and side SR is on side DC, as shown below. Line segment PB is 17 inches long and line segment DR is 15 inches long. What is the perimeter of rectangle ABCD?

Answers

The perimeter of the rectangle ABCD is the sum of its side lengths, and the perimeter is 70 inches

How to determine the perimeter of ABCD?

The question is incomplete, as the figure of the square and the rectangle are not given; so I will give a general explanation

The perimeter (P) of the rectangle ABCD is calculated using:

P = AB + BC + CD + DA

Since the opposite sides are equal, the formula becomes

P = 2 * (AB + BC)

Assume that the values of AB and BC are 20 and 15, respectively;

The equation becomes

P = 2 * (20 + 15)

Evaluate the product

P = 70

Hence, the perimeter of the rectangle ABCD is 70 inches (using the assumed values)

Read more about perimeter at:

https://brainly.com/question/24571594

2. Choose the correct measurement of the paper clip to the nearest 1/8 inch.

Answers

Answer: 1 3/8 inches.

Answer: 1 3/8

The paper clip is 1.375 inches.

Other Questions
Whats 12 3/4+17/2+5 4/6 The given box plot represents the number of pictures taken by tourists on the same group tour. Which five-number summary represents thisdata set?Photographs Taken by Tourists00810121826 2830 3214 16 20 22 24Number of PhotographsOA. 8, 16, 23, 28, 32OB. 10, 16, 23, 28, 32. 10, 16, 22, 28, 32OD. 8, 10, 16, 28, 32 What is the radius of the cone? 2 units 3 units 6 units 9 units What is the topic of the e-mail? what is the purpose of the e-mail? Si se multiplica un numero por uno,que numero se obtiene? Ok. Last one please help me. I will give you 5 stars, and a like fav novel or authors? The atomic symbol superscript 206 subscript 82 upper p b. represents lead-206 (pb-206), an isotope that has 82 protons and 124 neutrons. which atomic symbol could represent an isotope that undergoes radioactive decay to produce pb-206? superscript 238 subscript 92 upper u. superscript 222 subscript 87 upper p b superscript 178 subscript 72 upper h f. superscript 192 subscript 77 upper p b. Prove that ABCD is not a parallelogram. How many 3-digit numbers contain at least one zero? (410^-1) + (410^-1)Give your anwser in standard form. If the annual rate of forest clearing is 80,000 acres per day, how many hectares are being cleared per week? I already wrote the ordered pair. Just write how the number pairs are related. what's the factor that determines the type of vision of animals ?? Will make brainliest25. Although three different butterfly species allinhabit the same flower garden in an area,competition between the butterflies rarelyoccurs. The most likely explanation for thislack of competition is that the butterfliesGre(1) occupy different niches(2) have a limited supply of food(3) share food with each other(4) are able to interbreed Paraphrase When you paraphrase, you restate a text in your own words. Paraphrase Romeos thoughts in act III, Scene iii, lines 29-51. (b) Criticize How would you describe Romeos response in these lines? In the first paragraph, the author supports her claim that writers should "go to writers' workshops" (sentence 1) by A assessing whether workshops can improve writers' ability to judge their own works B. noting that workshops provide opportunities to write for diverse media, including television explaining how workshops can help writers learn unpleasant but valuable lessons D highlighting the value of workshops for writers at different stages in their careers E dispelling the misperception that workshops may stifle writers' creativity CAN SOMEBODY EXPLAIN HOW TO DO THIS IT'S MY 5TH TIME ASKING AND NOBODY EVEN HELPS ME!i used caps to get ur attention 7u7 suppose f(x) =x . Find the graph of f(x)-4 how do the germinal discs differ between the eggs?why?