in a triangle, PQR, Q= 72 degree, R= 32 degree and PR= 12. find PQ.

Answers

Answer 1

Answer:

PQ=6,69 units

Step-by-step explanation:

b/Sin32°=c/Sin72°

PQ/Sin32°=12/Sin72°

PQSin72°=12Sin32°

PQ=12Sin32°/Sin72°

PQ=6.69 units

Answer 2

By the concept of the sine rule of triangles the value of PQ is 6.6 units.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sine rule of a triangle states a/sinA = b/sinB = c/sinC.

Given, In a triangle PQR, Q= 72 degrees, R = 32 degrees, and PR= 12.

Let, q is the opposite side to ∠Q and r is the opposite side to ∠R.

Therefore,

q/sinQ = r/sinR.

12/sin72 = r/sin32.

12/0.951 = PQ/0.523.

PQ = (12×0.523)/0.951.

PQ = 6.6

learn more about the sine rule of triangles here :

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Related Questions

c.) Apple offers a buyback program for iPhones after they are 5 years old. They
offer to buy your phone for $100. Would this be a profitable decision to sell your
phone back to Apille after 5 years? Explain your reasoning. PLEASE HELP AND WRITE IT OUT PLS

Answers

Answer: It would not be profitable to sell it back for 100$.

Step-by-step explanation:

It would not be profitable because you might have payed 300-1000$ (Depending what phone you buy) for your phone. It would only be profitable for the older generation of the phones like iPhone 5 and iPhone 6.

find the product of 3ab (10b + 2a)​

Answers

this would be the answer

Eso
On Thursday, a local hamburger shop sold a combined total of 342 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the
number of hamburgers sold. How many hamburgers were sold on Thursday?
Il hamburgers
?

Answers

Answer:

Step-by-step explanation:

182

Someone help and plz make sure it’s right plz :)

Answers

Answer:

6.3

Step-by-step explanation:

square root of (14.9k^2 - 13.5k^2)

Help plsssss

Given the Trapezoid ABCD
Find the length of AD

Answers

Answer:

AD = 230

Step-by-step explanation:

here, we want to find the measure it AD

To do this, we need the value of x firstly

To get this, we are going to use the trapezoid midpoint theorem

The theorem is that the sum of the two parallel sides of a trapezoid when divided by 2 will give the middle point length of the trapezoid

Applying this:

1/2{30x-10+ 30x + 28} = 31x + 1

2(31x + 1) = 60x+ 18

divide both sides by 2

31x + 1 = 30x + 9

31x -30x = 9-1

x = 8

But;

AD = 30x-10

AD = 30(8)-10

AD = 240-10

AD = 230

PLEASE HELP I DONT KNOw all THE DEFINITIONS TO THESE- MARK BRAINLIEST TOO

Answers

Answer:

Factor

1

out of

3

x

2

+

4

x

7

.

(

3

x

2

4

x

+

7

)

Step-by-step explanation:

jerry had 20 dvds. he bought x more. than he had 28 dvds. Write the equation that represents each situation

Answers

20 + x = 28
if u wanna solve it, then:
28 - 20 = 8
x = 8

Answer:

20 + x = 28

Step-by-step explanation:

let x = the # of dvds bought

28 is the total

20 is what he started of with so...

20 + x = 28

and x = 8

Hope this helped! Have a nice day, and feel free to follow me on insta (leo_g_rios)

-XxDeathshotxX

Find the sum of the first 48 terms of the following series, to the nearest integer. 11, 18,25,...

Answers

Answer:

8424

Step-by-step explanation:

What is the measure, in degrees, of the missing interior angle?

O 70
O 40
O 10
O 170

(pls help)

Answers

Answer:

A) 70

Step-by-step explanation:

180 - 120 = 60

? = x

x + 50 + 60 = 180

x + 110 = 180

x = 70

So we need it to equal 120
120-50 is 70
So your answer is 70
Goodluck and have a good night or morning

ASAP


What is the perimeter of the trapezoid?

Answers

17 or 18 would be the answer for this problem

Pls help on this math problem

Answers

The answer is -12x^2-5x+11

Answer:

All is in the picture

A cube has a width of 8 what is the volume?

Answers

Answer:

V = 512

Step-by-step explanation:

V = a³

V = 8³

V = 512

What is the solution to the system of equations:
2x - 3y = 12 and 5x + 3y = 2
a) (2, - $)
c) Infinitely Many Solutions
b) No Solution
d) (-2, 4)
HELP

Answers

Answer:

x=2, y=-8/3. (2, -8/3).

Step-by-step explanation:

2x-3y=12

5x+3y=2

------------------

7x=14

x=14/7

x=2

2(2)-3y=12

4-3y=12

3y=4-12

3y=-8

y=-8/3

solve , (√3+√6) (√6-√3)​

Answers

Answer:

3

Step-by-step explanation:

[tex]( \sqrt{3} + \sqrt{6) } \times ( \sqrt{6} - \sqrt{3} )[/tex]

[tex]( \sqrt{6} + \sqrt{3} ) \times ( \sqrt{6} - \sqrt{3)} [/tex]

[tex]6 - 3[/tex]

[tex]3[/tex]

A model rocket is launched vertically from a platform 64 feet above the ground. The height of the rocket reaches during the flight is modeled by the equation h(t) = -16t² + 128x, where h is the height of the rocket and t is the time in seconds since the launch. Determine algebraically the time when the ball hits the ground.​

Answers

Answer:

do not know why asking questions

Please answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

it is 5

Step-by-step explanation:

An air-conditioning company counted 56 invoices at the end of the month. They charge $450 for a new installation and $75
for a service call. The total dollar amount of the invoices was $9,450.
How many installations and service calls did the company perform?

Answers

Answer:

14 installatons

42 service calls

Step-by-step explanation:

Let x = no. of new installations

      y = no. of service calls

(1)    x + y = 56           (2)    450x + 75y = 9450

            y = 56 - x               450x + 75(56 - x) = 9450

                                           450x + 4200 - 75x = 9450

                                            375x = 5250

                                                   x = 14 installatons

             y = 56 - 14 = 42 service calls

The number of installations are 14 and number of service calls are 42

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

An air-conditioning company counted 56 invoices at the end of the month.

For installation it charges  $450 and $75 for a service call.

Let x be number of installations

y be number of service calls

x+y=56...(1)

and 450x+75y=9450..(2)

From equation 1

x=56-y

Now substitute x value in equation 2

450(56-y)+75y=9450

Apply distributive property

25200-450y+75y=9450

25200-375y=9450

Subtract 25200 from both sides

-375y=9450-25200

-375y=-15750

Divide both sides by 375

y=42

Now put y value in equation 1

x+42=56

x=14

Hence, the number of installations are 14 and number of service calls are 42

To learn more on Equation:

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Plz help with this problem

Answers

Remember that the formula is f(x) = a(x-h)^2+k.

1/2: The closer to zero the value, the wider, so this will stretch vertically.

5: Which means that h=5, so the graph is shifting left 5 units.

7: this means that k=7, so the graph is shifted up 7 units.

The answer is stretched vertically, shifted left 5 units, shifted up 7 units.

Please help I’ll mark you as Brainiest!!!!!

Answers

Answer:  $44,600

Step-by-step explanation:  Subtract the withheld earnings from the gross amount to get the net amount.

55,000-4,200-5,200-1,000= 44,600

Find the missing length

Answers

Answer:

x = 16.64

option A

Step-by-step explanation:

Using the pythagoreom therom

Answer:

16.64

Step-by-step explanation:

Since it's a right angled triangle, we use Pythagoras theorem:

(Hypotenuse)² = (base)² + (perpendicular)²

x² = 14² + 9²

x² = 196 + 81

x² = 277

√x² = √277

x = 16.64

Tara is playing a game at a carnival where she picks a rubber duck from a pond.
There are 12 ducks in the pond for which there is no prize and 4 ducks that will
award a prize. What is the probability that she first picks a prize-winning duck and
then picks a non-prize-winning duck without replacing the first duck?

Answers

Answer: 4:12 3:12

Step-by-step explanation:

X+2x=-4,3x-5y=-1 using elimination method​

Answers

Answer:

x=-4/3, y=3/-5

Step-by-step explanation:

X+2X=-4

Then, adding up we get: 3x=-4

Then, x=-4/3

Substituting those we get: 3*(-4/3)-5y=-1

-4-5y=-1

-5y=-1+4=3

y=3/-5

Thus, x=-4/3, y=3/-5

Answer:

i love you my sweetheart ❤❤❤❤❤❤❤

PLEASE CAN ANYONE DO THESE THEYRE DUE AN IN HOUR NO EXPLANATION/STEP BY STEP NEEDED

Answers

2. 14x+15x, or 29x (simplified form)

3. 27x+5x, or 32x (simplified form)

4. 64x+6x, or 70x (simplified form)

Hope this helps.

I dont really know if this is right myself, but i'm just using the skills my teacher thought me.

a supplementary angle that has a 41 degree angle what is X

Answers

Answer:

X= 139

Step-by-step explanation:

1. Suplementary angle = 180 degrees

2. Set up the Equation  

  41 + x = 180

3. Solve

 41 + x = 180

-41           -41

       x = 139

I need help plaseee

Answers

Answer:

D

Step-by-step explanation:

{(-5, -4), (-5, -2), (-5, 0)}

The first term of a geometric series is 1 and the common ratio is 9. What is the 8th term of the sequence?​

Answers

81 would be the answer becuss 9 times 9 is 81

How can I put C, D, and E in distributive property?

Answers

Answer:

I believe you can just distribute (multiply) the coefficient (the number/value that is outside of the parentheses) by the rest of the values.

Step-by-step explanation:

So c. would be (20y * 1/5) (-4x * 1/5) (-13 * 1/5) then you just solve.

Someone help! Again I'll give brainlist if right! ​

Answers

Step-by-step explanation:

Use TOA. (tan angle = opposite/adjacent)

Given angle A = 58

adjacent = 6 mi

[tex] \tan(a) = \frac{opposite}{adjacent} \\ \tan(58) = \frac{bc}{6} \\ bc = 6 \tan(58) \\ = 9.6mi(nearest \: tenth)[/tex]

[tex]2x-7y=9\\x+2y=10[/tex]

Answers

Answer:

x=8 y=1

Step-by-step explanation:

you have first and second equation, YOU MUST FIND THE THIRD EQUATION

SOLUTION

FIND equation 3 from 2

x+2y=10

x=10-2y...........3

Substitute equation 3 from first (not from the equation where you got equation 3)

2 (10-2y)-7y=9

20-4y-7y=9

-11y=9-20

-11y= -11

-11y/-11= -11/-11

y=1

Find the value of x from the third equation

x=10-2 (1)

x=8

1. What is the total surface area 5.2 cm 6 cm 6 cm 6 cm 9cm​

Answers

Answer:

842.4 i think

Step-by-step explanation:

Answer
5.2 x 6 x 6 x 6 x9=10108,8 cm2
Explanation
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