Mathematics High School

Use trig ratios to find both missing sides. Show your work.

solve for a and b

Use Trig Ratios To Find Both Missing Sides. Show Your Work.solve For A And B

Answers

Answer 1

Applying the trigonometric ratios, the values of the sides of the triangle are: a ≈ 22.7; b ≈ 10.6.

How to Use Trigonometric Ratios to Find the Missing Sides of a Right Triangle?

To find the missing side a, in the right triangle shown above, the trigonometric ratio we would apply is he cosine ratio, which is:

cos ∅ = adjacent length / hypotenuse length.

∅ = 25 degrees

Adjacent length = a

Hypotenuse length = 25

Substitute:

cos 25 = a / 25

a = 25 * cos 25

a ≈ 22.7

To find the missing side b, the trigonometric ratio we would apply is he sine ratio, which is:

sin ∅ = opposite length / hypotenuse length.

∅ = 25 degrees

Opposite length = b

Hypotenuse length = 25

Substitute:

sin 25 = b / 25

b = 25 * sin 25

b ≈ 10.6

Learn more about trigonometric ratio on:

https://brainly.com/question/10417664

#SPJ1

Related Questions

write the fraction in ascending order.
1) 2 , 5 , 1 , 3
----- ----- ----- ----
3 6 2 4

2) 4 , 5 , 3 , 1
---- ----- --- ---
5 8 4 2​​

Answers

QUESTION 1 :

find the LCM of 3,6,2,4

LCM = 12

THEREFORE,

2/3*4/4 = 8/12

5/6*2/2 = 10/12

1/2*6/6 = 6/12

3/4*3/3 = 9/12

8/12 , 10/12 , 6/12 , 9/12

Ascending order of ( 8/12 , 10/12 , 6/12 , 9/12)

= 6/12 , 8/12 , 9/12 , 10/12

So, 6/12 = 1/2

8/12 = 2/3

9/12 = 3/4

10/12 = 5/6

THEREFORE

Ascending order = 1/2 , 2/3 , 3/4 , 5/6

10÷2-3+1=3 where do the parentheses go?

Answers

Answer:

The parantheses go around the (10 / 2)

Step-by-step explanation:

The expression would be:

(10 / 2) - 3 + 1 = 3

And when you solve it,

It would simplify to:

5 - 3 + 1

go from left to right and you get 3

The slash means division, I don't know how to type a division sign on brainly lol

The priority to the division and multiplication,
It will be
(10/2) -3+1=
5-3+1 =3
Which is true

Frankie started cleaning her house at 1:30 p.M and finished cleaning at 6;30 p.M how long did Frankie clean

Answers

Answer:

5 hours

Step-by-step explanation:

Start time = 1:30 p.m

Finishing time = 6:30 p.m

Time taken :

Finishing time - start time

6:30 p.m - 1.30 p.m

= 5 hours

Which is the best first step when solving the following system of equations?
5C+40= 10
3C+2d=16

Answers

Answer:

multiply the second equation by - 2

Step-by-step explanation:

Given the 2 equations

5c + 4d = 10 → (1)

3c + 2d = 16 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate d

- 6c - 4d = - 32 → (3)

Add (1) and (3) term by term to eliminate d

- c + 0 = - 22

- c = - 22 ( multiply both sides by - 1 )

c = 22

Substitute c = 22 into either of the 2 equations and solve for d

Substituting into (2)

3(22) + 2d = 16

66 + 2d = 16 ( subtract 66 from both sides )

2d = - 50 ( divide both sides by 2 )

d = - 25

solution is c = 22, d = - 25

-2 would be your answer




Hope it helps

HELP PLEASE ASAP

Given the discriminant of –2 for a quadratic equation, determine the number of real solutions.

Answers

Answer:

0 or simply no real solutions

Step-by-step explanation:

Given the discriminant which is negative, then the equation has no solutions in the set of real numbers. The roots or solutions belong to the set of complex solutions or imagenary roots.

to complete the equation and
Use the graph to determine which values can be used
x^2/a^2 - y^2/b^2= 1.
a:
b:

Answers

Answer:

/9AZ+ 1AL+4UE, 1, 5Z0 971 349 BG, -, 5Z0 971 349 BG -. (1). PR-9AA/9AZ+ 1AC+4UA. PR-9AA/9AZ+ 1AC+4UA, 1, 5Z0 971 349 AR, -, 5Z0 971 349 AR

Step-by-step explanation:

Answer:

A:5

B:12

Step-by-step explanation:

Joe borrowed $4,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 3 years?

Answers

Answer:

Wmkwkqkw siwiq q wksos ww wkwlwkw wlw

Answer:

$840

Step-by-step explanation:

4000 x .07= 280

280 x 3 = 840

What is the y-intercept of the line in the picture

Answers

Answer:

-2

Step-by-step explanation:

the y intercept would be -2. hope you do well:)

2/5 of 146 as a decimals

Answers

I think it’s 58.4 I’m not sure if my answer is completely right . Just let me know if I’m right . Hope this can help

helpppppppppppppppppppppppppppppppp plzzzzzzzzzzzzzzzzzzzz

Answers

Last one I got 5 37/45 but it says round to the nearest

use the distributive property to rewrite the algebraic expression below

4 (x + 2)

Answers

The answer is 4x + 8

write a polynomial function with zeros -3,5,8​

Answers

Answer:

x^3-10x^2+x+120

Step-by-step explanation:

Assuming you mean roots -3, 5, 8

These happen when we have (x+3)(x-5)(x-8)=0

Expand this

(x^2-2x-15)(x-8)=0

=x^3-2x^2-15x-8x^2+16x+120

=x^3-10x^2+x+120

next three terms in (1024, -128, 16...) you can write them as fraction if needed

Answers

Answer:

-2 1/4 - 1/32

Step-by-step explanation:

16x -1/8 = -2 do the same for all

Given the histogram, use the drop-down menus to identify the elements.
Zero frequency: (300-350) (351-400) (401-450
A peak: (650-700) (601-650) (451-500)

the ones in parenthisis r the answer choices

Answers

Answer:

Zero frequency:  

✔ 351–400

A peak:  

✔ 651–700

Step-by-step explanation:

Answer:

zero frequency

351-400

A peak

651-700

Step-by-step explanation:

Khushali selects three different numbers from the set
{−7, −5, −3, −1, 0, 2, 4, 6, 8}. She then finds the product of the three chosen
numbers. What is the largest product that Khushali can make?

Answers

Answer:

The sample space for given condition is

(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)

(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)

(1,6),(2,6),(3,6),(4,6),(5,6)

(1,5),(2,5),(3,5),(4,5)

(1,4),(2,4),(3,4)

(1,3),(2,3)

(1,2)

Number of sample space is 28.

Number of sample space where the sum of two numbers is more than 13 is 2((6,8),(7,8)). Therefore the probability is

28

2

=

14

1

Step-by-step explanation:

please thank to all my answer and please mark as brilliant

Oliver bought 5 glow bracelets for each of his party guests and 2 glow bracelets to keep for himself. He bought a total of 37 glow bracelets. How many guests did Oliver invite to his party?

Answers

7 cuz 2-37 is 35 and divide that by 5 , the 2 is the ones he kept for himself

An article marked at ₹50 is sold for ₹45. What is the

rate of discount?​

Answers

Answer:

Your answer is

Rate of discount = 10%

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

prove that the polynomials are nonnegative a^2-2ab+b^2+c^2

Answers

Answer:

a2 + b2 + c2 - ab - bc - ca

= (1/2)(2a2 + 2b2 + 2c2 - 2ab - 2bc - 2ca)

= (1/2)(a2 - 2ab + b2 + b2 - 2bc + c2 + c2 - 2ca + a2)

= (1/2)[(a-b)2 + (b-c)2 + (c-a)2]

Now we know that, the square of a number is always greater than or equal to zero.

Hence, (1/2)[(a-b)2 + (b-c)2 + (c-a)2] ≥ 0 => it is always non-negative.

To prove this equation non-negative, you will have to convert the equation in terms of perfect square form containing a,b and c.

Now,
a²+b²+c²-ab-bc-ca
= ½ • ( 2a²+2b²+2c²-2ab-2bc -2ca )
= ½ • ( a² -2ab +b² +b² -2bc +c² +c² -2ac +a² )
= ½ • { (a-b)² + (b-c)² + (c-a)² }

For any value of a,b,c
(a-b)² ≥ 0,
(b-c)² ≥ 0,
(c-a)² ≥ 0,

So,
a²+b²+c²-ab-bc-ca = ½ • { (a-b)² + (b-c)² + (c-a)² } ≥ 0 i.e. Non-negative [ proved ]

Locate the opposite of the number 1 5/8 on this number line. Draw a dart on correct position of the number line

Answers

Answer:

-1 5/8

Step-by-step explanation:

Opposite of 1 5/8 is -1 5/8

Apply the distributive property to the expression 9(6m-4n). DO NOT SYMPLIFY.

Answers

Answer:

54m-36n

Step-by-step explanation:

9·6m= 54m

9·(-4n)= -36n

54m-36n

Help!!!! What are the unknown angles?

Answers

Answer:

1: 52 for x

2. 96 for x

3. 58 for x

4. 71 for both of the 2 angles, 71 each

Step-by-step explanation:

all triangles add up to 180*, easy to reverse the math

uwu

You are schools you are a school supply shopping in together as a package of six pink pencils for 250 how much does each pencil cost

Answers

Answer:

41.67 dollars

Step-by-step explanation:

because 250/6= 41.6666666667

that rounded is 41.67 dollars

41.67
Explaining: i used a calculator

84,000 of food for 80 soldiers for 60 days How long would the food last 20 more soldiers joined​

Answers

Answer:

If 20 more soldiers join it would last 48 days

Step-by-step explanation:

if 80 soldiers need 84000 food for 60 days it means that in 60 days one soldier eats 84000/80= 1050 each

then 1050/60=17.5 meaning they need 17.5 food a day each,

adding 20 soldiers means 80+20= 100 soldiers

100*17.5=1750 food is eaten every day

84000/1750= 48 which means that 100 soldiers will eat 84000 in 48 days

Corresponding angles and interior angles can never have equal angle

True or false

Plss help mee

Answers

Answer:

true

Step-by-step explanation:

The ratio of small dogs to large dogs at a show is 4:3. If there are a total of 56 dogs in the show, how many are large dogs?

Answers

I am going to assume you mean 56 SMALL dogs in the show. If you do, your answer is 42 large dogs.

Pedro placed an order with an online nursery for
6 apple trees and 5 azaleas and the order came to
$147. The next order for 3 apple trees and 4 azaleas
came to $96. What was the unit cost for each
apple tree and for each azalea?

Answers

Hope this helps! I really need points to ask a question , so I'm just answering people who need help

8(1 + 7x) - x = -40 + 7x
PLZZZ HELP!!!

Answers

X=-1
Hope this helped could you mark me brain lists

Answer:

use photomath ok my guy and good job

49x^2 -_x + 16

Can someone help with the missing number

Answers

Step-by-step explanation:

I'm guessing this is competing the perfect square

so it's 56

Answer:

Step-by-step explanation:

4x² + 28x + 49

4x² + 14x + 14x + 49

2x(2x) + 2x(7) + 7(2x) + 7(7)

2x(2x + 7) + 7(2x + 7)

(2x + 7)(2x + 7)

(2x + 7)²

= 28

Please help. I don’t know what to do.

Answers

Answer:

83

Step-by-step explanation:

The sum of the interior angles of any closed figure will always equal 360º, so what you need to do is add:

109+90+78=?

This will in turn give you 277.

Subtract 277 from 360, and boom, 83 degrees.

I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe

Answers

Answer:

Please do not report me if this is wrong but my friend beside me is giving me the answer and she said its 60

Step-by-step explanation:

Other Questions
in a multiple regression model, the error term is assumed to A lift pump can lift water to a maximum height of 10 m determine the maximum height to which it can raise paraffin based on the information presented, which of the following best explains why the researchers measured oxygen consumption as an indicator of the effectiveness of drug x? Air pollution at witbank you are conducting an offensive mission how would you execute it with audacity A straight (cylindrical) roller bearing is subjected to a radial load of 12 kN. The life is to be 4000 h at a speed of 750 rev/min and exhibit a reliability of 0.90.What basic load rating should be used in selecting the bearing from a catalog of Manufacturer? Can someone answer this question? Security plan is a document that describes how an organization will address its security needs. State THREE (3) factors that should be considered when developing a security plan. Ryan measures his height every year. Last year, he found that he was 4 feet tall. This year he is 5 feet tall. How much did he grow in a year? PlEAse HELpI WIll GEt IN TRoublE Due By TomMoRWoW students who study in small groups perform at higher intellectual levels.] T/F A farmer wants to build two fenced-off sections within his field, one in the shape of a rectangle and the other in the shape of a square. The side of the square must be equal to the width of the rectangle, x feet. The length of the rectangle must be 50 feet longer than its width. The field the farmer wants to build the two fenced sections in has an area of y square feet. The difference of the area of this field and the area of the fenced, square section needs to be at least 1,000 square feet. In addition, the sum of the fenced areas must be less than the area of the field. This is the system of inequalities that represents this situation. Y > 1 2 + 1,000 y > 2. 12 + 501 Which points represent viable solutions? If David will look into the sky and see a new moon what phase of themoon will be seen after two weeks?A Full moonB. New moonC. crescent moonD. first quarter moon photons and particles that originate in the sun reach earth in a wide range of time intervals. place these in order of their travel times. use the integral test to determine whether the series is convergent or divergent. [infinity]n=1 n/n^2 + 5 evaluate the following integral. [infinity]1x x^2 + 5 The Acme Chemical Processing Company paid $50,000 for research equipment, which it believes will have zero salvage value at the end of its 5-year life. Compute the depreciation schedule using: (a)Straight line (b)Double declining balance (c)100% bonus depreciation (d)Modified accelerated cost recovery system (e)What is the U.S. EPAs Presidential Green Chemistry Challenge? What impact has this initiative had on green chemical processing? strontium oxalate was dissolved by adding hcl(aq) in the magnesium group tests. why would hno3 not be equally effective at dissolving silver bromide in the fluoride group tests? traditional electrodes were designed so they would be equally effective with all types of hairTRUE OE FALSE The results of a poll show that the percent of people who want a toll road is in the interval (46%, 84%) . There are 268,548 people in the city. What is the interval estimate for the number of people who want this toll road in their city? Include correctly labeled diagrams, if useful or required, in explaining your answers. A correctly labeled diagram must have all axes and curves clearly labeled and must show directional changes. If the question prompts you to "Calculate," you must show how you arrived at your final answer. Zeetopia and Freshland are two small tropical islands that use the same amounts of resources to produce mangoes and coconuts as shown in the table below. Coconuts (in tons)Mangoes (in tons) Zeetopia5060 Freshland5030 (a) Which island has an absolute advantage in producing coconuts? Explain. (b) Which island has a comparative advantage in producing coconuts? Explain. (c) Assume Zeetopia and Freshland decide to specialize according to their comparative advantages and 1 ton of coconuts is exchanged for 1 ton of mangoes. Are specialization and trade under these terms beneficial to both Zeetopia and Freshland? Explain. (d) Assume the two islands experience constant opportunity costs in the production of the two products. Draw a correctly labeled graph illustrating Zeetopias and Freshlands production possibilities, showing coconuts on the horizontal axis and mangoes on the vertical axis. Plot the numerical values from the table above on your graph. (e) On your graph in part (d), shows a combination of coconuts and mangoes, labeled as point X that is unattainable for Freshland but feasible and inefficient for Zeetopia. Pick out the adjectives from the following excerpt. Thirty years ago, I moved to Milan to work for an Italian art magazine called FMR. It was an old and ambitious enterprise: FMR started publishing in the US a year later with the slogan "the most beautiful magazine in the world." The publisher was Franco Maria Ricci, who named his flagship magazine after his own monogram. He liked to say "the very best often costs less," and he decided that he needed a professional translator to sit in for a few days each month, so he hired William Weaver, who has just translated Umberto Eco's Name of the Rose. For a year or so, Bill and I worked together. Our conversations were lively and companionable and this, for me was when literary translation first swam into view as a path and profession. I remember one specific comment on translation technique that was pure Weaver.