In triangle XYZ , Y = 29.8° , Z = 51.4° , x= 19.6cm. Solve the triangle completely.​

Answers

Answer 1

Answer:

X = 98.8Z = 15.5 cmy = 9.86 cm

Step-by-step explanation:

To find z:

[tex] \frac{z}{sin \: z} = \frac{x}{sin \: x} \\ z = x \: . \frac{sin \: z}{sin \: x} \\ z = 19.6 \times \frac{sin \:51.4}{sin \: 98.8} \\ z = 15.5cm[/tex]

To find y:

[tex] \frac{y}{sin \: y} = \frac{x}{sin \: x} \\ y = x \: . \frac{sin \: y}{ \: \: sin \: x} \\ y = 19.6 \times \frac{sin \: 29.8}{sin \: 98.8} \\ y = 9.86 \: cm[/tex]


Related Questions

Is this a percent increase or decrease? How do you know? 5 cups to 8 cups

Answers

Answer:

increase

Step-by-step explanation:

Increase definition: become or make greater in size, amount, intensity, or degree.

Decrease definition: make or become smaller or fewer in size, amount, intensity, or degree.

A rectangle has a length of √7 and a width of 3√8. Find the area of the rectangle.

Answers

Area is length multiplied by width

So rad 7 times 3 rad 8

This is 6 rad 14
Or
22.45 in decimal form

The area of the rectangle is 3[tex]\sqrt{56}[/tex]

Given,

A rectangle has a length of √7 and a width of 3√8.

We need to find the area of the rectangle.

What is the area of a rectangle?

The area is given by:

Area = Length x width

Find the length and width of a rectangle.

Length = [tex]\sqrt{7}[/tex]

Width = 3[tex]\sqrt{8}[/tex]

Find the area of the rectangle.

Area =  Length x width

       = [tex]\sqrt{7}[/tex] x 3[tex]\sqrt{8}[/tex]

When there are two different square roots we multiply them together under one root.

[tex]\sqrt{a\times b} ~~=~~\sqrt{a}\times\sqrt{b}[/tex]

Now,

       = 3[tex]\sqrt{7\times8}[/tex]

       = 3[tex]\sqrt{56}[/tex]

Thus the area of the rectangle is 3[tex]\sqrt{56}[/tex]

Learn more about finding the area of a rectangle here:

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Solve. 2(2z – 4) = 4​

Answers

Answer:

[tex]z = 3[/tex]

Step-by-step explanation:

1) Divide both sides by 2.

[tex]2z - 4 = \frac{4}{2} [/tex]

2) Simplify 4/2 to 2.

[tex]2z - 4 = 2[/tex]

3) Add 4 to both sides.

[tex]2z = 2 + 4[/tex]

4) Simplify 2 + 4 to 6.

[tex]2z = 6[/tex]

5) Divide both sides by 2.

[tex]z = \frac{6}{2} [/tex]

6) Simplify 6/2 to 3.

[tex]z = 3[/tex]

therefor, the answer is z = 3.

Please help, easy math

Answers

Answer:

The probability of P(Aç) = 27/35

give me two numbers that both add to negative 12 and multiply to 11​

Answers

Answer:

- 1 and -11

Step-by-step explanation:

-1 × -11 = 11

- 1 + - 11 = -12

-1 and -11

-1+-11= -12
-1*-11= 11

Write 200 as a product of primes.
Use index notation when giving your answer.

Answers

Answer:

Step-by-step explanation:

The prime factorization of 200 is as follows: 200 = 2 × 2 × 2 × 5 × 5.

The prime factorization of 200 will be equal to 2 × 2 × 2 ×  5 × 5 or 2³ × 5².

It is given that a number is 200.

We have to find out the prime factorization of 200.

What do you mean by prime factorization ?

Prime factorization is a way to find the prime factors of a number, such that the original number is evenly divisible by the prime numbers.

As per the question ;

The given number is 200.

We have to find the prime factors of 200.

This meant to find out the prime numbers we should multiply together to make the original number which is 200.

So ;

200

= 2 × 100

= 2 × 2 × 50

= 2 × 2 × 5 × 10

= 2 × 2 × 2 ×  5 × 5

or

= 2³ × 5²

Thus , the prime factorization of 200 will be equal to 2 × 2 × 2 ×  5 × 5 or 2³ × 5².

To learn more about prime factorization click here ;

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Amelia is training for a marathon this spring. In practice she runs 3 miles in 20 minutes. If she continues at the same rate, how many miles will she run in 1 hour? *

A.6 miles
B.6.5 miles
C.9 miles
D.12 miles

Answers

Answer:

C

Step-by-step explanation:

an hour is 60 mins and is 3 times as much as 20 mins so in 60 mins she will fun 3*3 miles or 9 miles.

C. 9 miles

Explanation: their are 60 minutes in a hr.
20*3 =60 therefore 3*3=9

CAN SOMEONE PLEASE GELP ME?

Answers

Answer:

1 ) 140

2) 60

Step-by-step explanation:

1. It touches the y intercept at 140 and 0 in the x axis so 140

NOTE : THE NUMBER THE TOUCHES THE Y INTERCCEPT IS ALWAYS THE ANSWER/ IT GOES DOWN 3 ACROSS 3 SO IT AND U WILL SEE IF IT TOUCHES THE Y INTERCEPT IT WILL BE 140

2. it goes from 140 to 200 just subtract them to get how much she gets

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

1)140
2)60
like the guy above

Please help! Brainliest Answer! Thank You!

Answers

Answer:

D

Step-by-step explanation:

cuz its a 90° angle

Answer:

b

Step-by-step explanation:

please do both questions

Answers

2. Exact form: 34/5
Decimal form: 6.8
Mixed number: 6 4/5

3. Exact form: 49/ 4
Decimal form: 12.25
Mixed number form: 12 1/4
2.) 17/x = 5/2

Solve by cross canceling!

5x = 34

Simplify..

x = 34/5


———————————————————


3.) 8/14 = 7/k

Reduce 8/14...

4/7 = 7/k

Solve by cross canceling!

4k = 49

Simplify..

k = 49/4


Digital slope escape

Answers

Answer:

An engaging digital escape room for students learning to find slope given graphs, tables and coordinate pairs. Students must unlock 5 locks by answering 20 slope questions. Questions are grouped 4 per puzzle, resulting in five 4-letter codes that will unlock all 5 locks.

It's also known as the room of escape, for the Learners who lean digitally can find slopes given graphs, tables, and coordinate pairs. Learners will open 5 locks/questions by solving the 20 slope questions.

In this, there are questions which are a paired four each problem, culminating in five four-letter codes that open all 5 locks.These are set with response verification, so learners can't proceed to the next challenge unless they input the proper code. It is used to break out the room for students learning. It defines how and where to find slope from graphs, tables, and coordinates pairings.

Learn more:

brainly.com/question/21314641

Please help me...


find x and y

Answers

Answer:

The "middle triangle"

50+85+n=180

n+135=180

n=45

The "left side triangle"

x+68+45=180

x=67

The "right-side triangle"

50+74+z=180

124+z=180

z=56

y=180-56

y=124

Let me know if this helps!

I need help with this math.....​

Answers

What grade level is this for? I may be able to help.


What is the solution to this equation?

Answers

Answer:

D

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ([tex]\frac{x}{y}[/tex] )

log [tex]x^{n}[/tex] = nlog x

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

[tex]log_{3}[/tex] (4x) - 2[tex]log_{3}[/tex] x = 2

[tex]log_{3}[/tex] (4x) - [tex]log_{3}[/tex] x² = 2

[tex]log_{3}[/tex] ([tex]\frac{4x}{x^2}[/tex] ) = 2

[tex]log_{3}[/tex] ([tex]\frac{4}{x}[/tex] ) = 2

[tex]\frac{4}{x}[/tex] = 3² = 9 ( multiply both sides by x )

4 = 9x ( divide both sides by 9 )

[tex]\frac{4}{9}[/tex] = x → D

The ratio of red to blue to green
marbles in a bag is 3 : 10 :4. If there
are 39 red and blue marbles
altogether, how many green marbles
are there?

Answers

Answer:

12 green marbles

Step-by-step explanation:

first we know that there are 39 red and blue marbles, so 3x+10x=39 x=3

since the amount of green marbles is 4x, and we know x=3, x*4=12

Help me pls! I don't understand my math omg

Answers

Answer:

correct

Step-by-step explanation:

maybe

Find the slope of the line. O No See​

Answers

Answer:

vertical line = undefined

Step-by-step explanation:

what is the answer?

Answers

Answer:

x^2 - 5x - 6  =  (x - 2)(x - 3).

Step-by-step explanation:

f(x) = x^2 - 5x - 6

We need 2 numbers whose product is - 6 and whose sum is -5. They are   -3 and -2:

The factors are x- 2  and x - 3.

Answer:

x-6  

Step-by-step explanation:

help me plzzzzzzzzzz​

Answers

Answer:

24%

Step-by-step explanation:

Q: Maya has 200 songs on her mobile device. Of these songs, 48 are jazz songs. What percent of Maya's songs are jazz songs?

To find the percentage of something, we can take the number that we want to find the percentage for divided by the total number of items.

In this problem, the number that we want to find the percentage for are the jazz songs, which is 48.

The total number of items is 200 songs.

Therefore, we can divide the number of jazz songs by the total number of songs in order to find the percentage of Maya's jazz songs.

# jazz songs/total # songs 48/200 = 0.24

To convert a decimal to a percentage, we can move the decimal point two places to the right (aka multiply by 100).

0.24 → 24%

24% of Maya's songs are jazz songs.

MATHEMATICAL CONNECTIONS The two polygons are similar. Find the values of x and y.

Answers

Answer:

x = 35.25y = 20.25

Step-by-step explanation:

The figures are similar.

Corresponding sides have same ratio:

1)

18/24 = (x - 6)/39 x - 6 = 39*3/4x - 6 = 29.25x = 35.25

2)

18/24 = y/27y = 27*3/4y = 20.25

Answer:

x = 35.25

y = 20.25

Step-by-step explanation:

Hope this will help

What is the simplified form of the ratio 27 : 9

Answers

Answer:

3:1

Step-by-step explanation:

Answer:

The simplest form of 279 is 31.

Step-by-step explanation:

Hope this helps

Please answer I will give brainliest

Answers

the answer is zero (Im pretty sure) but i'll take that brainly very much please

The answer would be zero

11) Ella has $50 to spend at the State Fair. Admission is $8 and each ride costs $2. Write an
inequality to find the greatest number of rides she can go on.

Answers

Answer:

x ≤ 21

Step-by-step explanation:

Ella can go on at most 21 rides because she only has $42 to use after commission, and 42/2 = 21.

Answer:

6 + 3x ≤ 40

x≤11

Step-by-step explanation:

6 + 3x ≤ 40

-6           -6  

3 x  ≤   34  

3  x  ≤    3  

x    ≤   11

what is the qoutient of 0.1 and 20

Answers

Step-by-step explanation:

jeuejejejejejnenenenennens

i need help plz huryyy

Answers

Answer:

x=128

Step-by-step explanation:

180-52=128

Answer: x= 128 degrees

Step-by-step explanation:

Angle “x” and angle with measure of 52 degrees are a linear pair.

Linear pairs sum to 180.

52+x=180. Subtract 52 from both sides.

X= 128

*OR you can use angles around a point sum to 360 degrees.

52+38+142+x = 360. Combine like terms.

232+x= 360. Subtract 232 from both sides.

X= 128

PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST

Answers

Answer:

c

Step-by-step explanation:

a plane travels between Bloemfontein and Cape Town at a speed of 315 km per hour if the trip takes 2 hours what is the flying distance between the two cities​

Answers

Answer:

630km

Step-by-step explanation:

315km × 2= 630km

hope this helps :)

One-third of a number plus 2 is greater than 11. What are the possible values for ?

Answers

Answer:

The equation is 1/3x+2>11

Anything greater than 27 is a possible answer

Step-by-step explanation:

Step 1

Subtract 2 from both sides, 2-2 cancels out and 11-2=9

Now you have 1/3x>9

Step 2

Divide both sides by 1/3, 1/3 divided by 1/3 cancels outs and 9 divided by 1/3 is 27

Now you have x>27

So anything greater than 27 is a possible answer

You want $5000 4 years from nowfor a down payment for a car. How much money must be deposited monetly into an account earning 4.2% compounded monthly to achieve this goal?

Answers

Answer:

$95.5090 must be deposited monthly

Step-by-step explanation:

From the information given:

The annual interest rate (r) = 4.2% = 0.042

Let assume that an amount Y is deposited, then after one month, it will increase to:

[tex]Y ( 1+ \dfrac{0.042}{12})[/tex]

The total amount after 4 years will be:

[tex]= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})[/tex]

[tex]= Y ( 1.0035)^{48}+Y ( 1.0035)^{47} +Y( 1.0035)^{46} +...+ Y( 1.0035)[/tex]

Using the sum of a geometric progression:

[tex]= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}[/tex]

[tex]= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035}[/tex]

The above amount is then equal to $5000

i.e

[tex]= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000[/tex]

[tex]Y = \dfrac{5000\times 0.0035}{(1.0035)(1.0035^{48}-1)} \\ \\ \mathbf{Y = \$95.5090}[/tex]

Prove \triangle ABE\cong\triangle ACE△ABE≅△ACE. Be sure to state any congruencies and the criteria used to determine them.

Answers

Answer:

The answer is below

Step-by-step explanation:

Two triangles are congruent if they have the same shape and their corresponding sides are equal to each other.

1) AB = DC, BE = CE     (given)

2) ∠AEB≅∠DEC  (vertical angles are congruent)

3) ΔABE ≅ ΔACE (side angle side congruence theorem)

If the two sides and an included angle of one triangle is equal to two sides and one included angle of another triangle, then the two triangles are congruent by SAS congruence theorem.

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