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

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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

Corresponding angles and interior angles can never have equal angle

True or false

Plss help mee

Answers

Answer:

true

Step-by-step explanation:

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

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

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

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:

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:

use the distributive property to rewrite the algebraic expression below

4 (x + 2)

Answers

The answer is 4x + 8

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:

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

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

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

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

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

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

helpppppppppppppppppppppppppppppppp plzzzzzzzzzzzzzzzzzzzz

Answers

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

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 ]

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

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

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

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.

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

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:)

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

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.

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.

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.

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

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

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