The area of triangle PQR is 273 cm. Given that PQ = 12.8cm and PQR = 107°, find QR.​

Answers

Answer 1

[tex]\text{Area of triangle} = \dfrac 12 \times PQ \times QR \times \sin \angle PQR \\\\\\\implies 273= \dfrac 12 \times 12.8 \times QR \times \sin 107^{\circ}\\\\\implies 273 = 6.4 \sin 107^{\circ} \times QR\\\\\\\implies QR = \dfrac{273}{6.4 \sin 107^{\circ}} = 44. 606~~ \text{cm}[/tex]


Related Questions

Are these geometric shapes ASA, SSS, SAS or None?

I WILL GIVE BRAINLIEST TO BEST ANSWER!
refer to image.

Answers

Answer:

4)ASA

6) ASA

2) SSS

8) SAS

Step-by-step explanation:

numbers 4 and 6 are ASA because we have 2 congruent angles and one congruent side. Also, they r in the pattern angle, side, angle. Which makes it ASA

number 2 is SSS because all 3 sides are congruent

number 8 is SAS because because there are 2 congruent sides and one congruent angle. They are seen in the pattern side, angle, side. Which makes it SAS

hope that helps and I apologize about earlier

have a wonderful day!

Answer:

2) None, 4) ASA, 6) ASA, 8) ASA

Step-by-step explanation:

#2

We have two parallel sides.

This gives us two pairs of alternate interior angles and one pair of vertical angles.

In total 3 congruent angles. This is not enough to state congruence.

None

#4

We have two pairs of congruent angles and an included common side.

This is good to state the triangles are congruent by ASA

#6

Similarly to above question, we have two pairs of congruent angles and an included common side.

This is good to state the triangles are congruent by ASA

#8

We have one pair of congruent sides and the parallel sides gives us two pairs of alternate interior angles and a pair of vertical angles.

We can state the triangles are congruent by ASA as the congruent side is included.

Hey y’all, please help me with this.

Answers

Answer:

Select all numbers greater to or equal to 48. (48, 49, 51, 53, 58)

x ≥ 48

Step-by-step explanation:

If you divide both sides by two because you have a 2x and you need to get a single x, you would get x ≥ 48 (96 divided by 2) you would select all numbers greater to or equal to 48.

Answer:

48, 49, 51, 53, 58

Step-by-step explanation:

Equivalent inequality

96 ≤ 2x


[tex] \sf2 + 63 - 36 - 2[/tex]


Here's some points ~ ​

Answers

2+63-2=32

Bye hope this help!

over what interval function is this graph constant​​

Answers

D is your answer. You are trying to find the part of the graph that or constant or straight (parallel with the x-axis).

Write an equation in slope intercept for a line that passes through (2,2)

Answers

Answer:

any line can pass through the point (2,2) so there needs to be a second point

Step-by-step explanation:

A small town has two local high schools. High School A currently has 800 students and is projected to grow by 55 students each year. High School B currently has 950 students and is projected to grow by 25 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine the interval of years, t,t, for which High School A will have more students than High School B.

Answers

Answer:

40

Step-by-step explanation:

Could someone help please

Answers

Step-by-step explanation:

1. x/3-2=6

x-6=18

x=18+6

x=24

2. x/5+1=5

x+5=25

x=25-5

x=20

Answer:

x = 24 , x = 20

Step-by-step explanation:

(a)

[tex]\frac{x}{3}[/tex] - 2 = 6 ( add 2 to both sides )

[tex]\frac{x}{3}[/tex] = 8 ( multiply both sides by 3 to clear the fraction )

x = 24

(b)

[tex]\frac{x}{5}[/tex] + 1 = 5 ( subtract 1 from both sides )

[tex]\frac{x}{5}[/tex] = 4 ( multiply both sides by 5 to clear the fraction )

x = 20

what is 25% off $27

Answers

Answer:

6.75 $

Step-by-step explanation:

25%

= 25 / 100

= 1 / 4

25% of $ 27

= ( 1 / 4 ) x ( 27 )

= ( 1 x 27 ) / 4

= 27 / 4

= 6.75 $

Answer:

$20.25

Step-by-step explanation:

1. Each of 9 friends chooses her favorite positive integer

a. The median of the chosen number is 91, what is the smallest the average of the 9 chosen numbers could be?

b. The median of the chosen number is 91, is there an limit to how large the aerge of the chosen numbers can be? If so, what is the largest the average can be?

c. The average of the chosen number is 91, what is the smallest the median of the 9 chosen numbers could be?

d. The average of the chosen numbers is 91. What is the largest the median of the chosen numbers could be?

Answers

Answer:

a) 1

b) There is no limit to which the largest number can be because we are only given information about the median.

c) 1

d) 90

6 remainder 1 as a fraction

Answers

Six and one sixth or 6 1/6

What is the exact value of tan(−π4)?

Enter your answer in the box.

Answers

Answer:

What is the exact value of tan(−π4)? is 20

IF YOUR QUESTION IS...

What is the exact value of tan(-pi/4)?

Answer: -1

here's another one ​

Answers

Answer:

Supplementary Angles

x = 62

Step-by-step explanation:

Supplementary angles equal 180.

180 - 118 = 62

I hope this helps!

Ryan and Taylor are both saving money to buy new video game equipment. Ryan's savings plan can be modeled by the function s= 15m + 50 where m represents the number of months since Ryan started his plan, and s represents the amount of money saved in dollars. The table shown represents Taylor's savings plan.

Taylor's Savings Plan --- In the file (Picture).

a. Ryans rate of change is_________Taylor's rate of change.
b. Ryans starting balance is _________Taylor's starting balance.

Answers

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

Recall:

A linear function is modelled by the equation, y = mx + b, where m is the rate of change and b is the initial value (starting value).Rate of change = change in y/change in x

Ryan's Savings Plan Function:

s = 15m + 50

Thus, the starting value (starting balance) modelled by this function is $50

The slope/rate of change is $15 per month

Taylor's Savings Plan:

Given the table, the starting value will be the amount saved (initial value) at 0 number of months.

Therefore, Taylor's starting balance is: $25

Using (0, 25) and (1, 45) find the rate of change:

Rate of change = (45 - 25)/(1-0) = 20/1 = $20

In summary:

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

Learn more about linear function on:

https://brainly.com/question/15602982

Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?

Answers

Answer:

£3691 (nearest pound)

Step-by-step explanation:

Consider the rate of compound interest is r and the initial amount of savings is P, hence

[tex]P \ + \ P \ \times \ r \ = \ P \ (\ 1 \ + \ r \ ) \qquad (Final \ amount \ for \ the \ 1st \ year ) \\ \\ \ P \ (\ 1 \ + \ r \ ) \ + \ P \ (\ 1 \ + \ r \ ) \ \times \ r \ = \\ \ P\ ( \ 1\ + \ r \ ) \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^2 \qquad (Final \ amount \ for \ the \ 2nd \ year) \\ \\ \ P \ {(\ 1 \ + \ r \ )}^2 \ + \ P \ {(\ 1 \ + \ r \ )}^2 \ \times \ r \ = \\ \ P\ {( \ 1\ + \ r \ )}^2 \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^3 \\ \\ (Final \ amount \ for \ the \ 3rd \ year)...[/tex]  

Therefore, the final amount of savings after nth years of compund interest is

[tex]P \ {( \ 1 \ + \ r \ )}^n[/tex].

Given that 4.2% compound interest was used for the first 4 years to a savings of £2350, thus

[tex]Final \ amount \ for \ the \ first \ 4 \ years \ = \ 2350 \ {( \ 1 \ + \ \frac{4.2}{100} \ )}^4 \ = \ 2770.36[/tex]

Then, taking the final amount of savings previously into an initial amount for the next 6 years with 4.9% compound interest.

[tex]2770.36 \ {( \ 1 + \frac{4.9}{100} \ )}^6 \ = \ 3691.40 \ = \ 3691 \ (nearest \ pound)[/tex]

6. Kiara's father is paying for a $40 meal. He has a 20%-off coupon for the meal. After the discount, a 6% sales tax is applied. What does Kiara's father pay for the meal? Explain or show your reasoning.

Answers

Answer:

33.92

Step-by-step explanation:

40 x .2= 8

40-8= 32

32x.06=1.92

32+1.92= 33.92

What is the height of a triangle with an area of 67. 5 square meters and a base of 9 meters?.

Answers

The height is 15meters long

The height of the triangle is 15 meters.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Types of triangles

Right triangle Equilateral triangle Isosceles triangle Scalene triangle

Area of a triangle = 1/2 (base x height)

height = (2 x area ) / base

(2 x 67.5) / 9

= 135 / 9

= 15 meters

Please find attached an image of a triangle. A similar question was answered here: https://brainly.com/question/7655890

What is the circumference of the top of the water buoy? Round your answer to the nearest tenth.



37.7 feet
28.3 feet
113.0 feet
84.8 feet

Answers

Answer:16.3 inches. What is the area of this plate? Use 3.14 for pi. Round to the nearest whole number.

Step-by-step explanation:

HELP!!!

‐9z = ‐207

Please solve this with math explanations and NOT just the answer! Whoever explains first will get brainly!

Answers

Answer:

23

Step-by-step explanation:

this is because

the equation is saying -9time something = -207

so

you would -207 divided by -9

which gives you 23

so

z=23

The number of purchases made on a new online store is modeled by
p(d) 15d + 45, where d is the number of days since the store opened.
The average amount spent in dollars per purchase is modeled by
s(d) = 0.15d? – 4d + 80. Write a function R(d) to model the total daily
revenue. Then predict the total amount of revenue on the 23rd day.
-

Answers

The total amount of revenue on the 23rd day is 322.65

Given the following parameters:

purchases made p(d) = 15d + 45sales made  s(d) = 0.15d² – 4d + 80

The revenue will be exprssed as:

r(d) = s(d) - p(d)

r(d) = 0.15d² – 4d + 80 - (15d + 45)

r(d) = 0.15d² – 19d + 35

Hence a function R(d) to model the total daily  revenue is r(d) = 0.15d² – 19d + 35

To get the total amount of revenue on the 23rd day, you will substitute t = 23 into the function

r(d) = 0.15d² – 19d + 35

r(23) =  0.15(23)² – 19(23) + 35

r(23) = 79.35 - 437 + 35

r(23) = -322.65

Hence the total amount of revenue on the 23rd day is 322.65

Learn more on function here: https://brainly.com/question/14307385

On Thursday, a local hamburger shop sold a combined total of 444 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Thursday?

Answers

Answer:

They sold 111 Hamburgers

Step-by-step explanation:

Turn this into an equation: first, take the amount of hamburgers and call it 3x due to it being 3 times more than the amount of cheeseburgers, which we will can call x.

So, X+3X=444 is what you need to solve this. This is the same as 4x=444

So, x=111

Now, Input 111 for the final answer; 333 cheeseburgers and 111 hamburgers

my Christmas present to you​

Answers

oh wow, thank you!

Hope you have a merry christmas!

To join the tennis club, there is a $18.50 initial fee and a $1.10 yearly fee. What would be the value of the y-intercept in this situation?

Answers

Y = 18.50

Please tell me if it is right XD <3

Willie's school is selling tickets to a play. On the first day of ticket sales the school sold 5 adult
tickets and 1 student ticket for a total of $80. The school took in $240 on the second day by
selling 14 adult tickets and 6 student tickets. Find the price of an adult ticket and the price of a
student ticket.

Answers

Answer:

Step-by-step explanation:

A I think sorry if I’m wrong

Write 6(2x + 4) – 2(x + 7) +5 in the form a(bx+c)
where a, b and c are integers
and a > 1

Answers

Answer:

5(x + 3)

Step-by-step explanation:

6(2x + 4) - 2(x + 7) + 5

12x + 24 - 2x - 14 +5

10x  + 24 - 9

10x  + 15

5(x + 3)

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in his account by the end of the summer. If there are 10 weeks in the summer, how much can Keith spend each week to have at least $200 in his account? Let x represent how much he can spend each week.

options:

x>30

x>70

x≤70

x≤30

Answers

Answer:

x≤30

Step-by-step explanation:

he can spend no more than $30 a week

5/6 divided by 3/4 in simplest form

Answers

Answer: The answer is 1 1/9.

Explanation: Multiply the numerator by the reciprocal of the denominator(5/6 x 4/3). Cancel the common factor of 2, then multiply 5/3 x 2/3. The result is 10/9, which is an improper fraction which should be converted to the mixed fraction 1 1/9.

What did Diocletian do to change the way the Roman Empire was ruled?How would we add -3 + (-9) on the number line?

Answers

Diocletian secured the empire's borders and purged it of all threats to his power. He separated and enlarged the empire's civil and military services, and reorganized the empire's provincial divisions, establishing the largest and most bureaucratic government in the history of the empire.

If t=100, find 2t + 1

Answers

201. Because you 2*100+1= 200+1= 201

Grade 4c left their school at7:30 am for their trip to the market. They return at 10:45 am how much time did they spend on the trip?

Answers

3:15

Step by step explanation:

10:45
-7:30
———
3:15

Solve for x
3x+7=28

Answers

Answer:

X=7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

3x + 7 = 28=> 3x = 28 - 7=> 3x = 21=> x = 7

Conclusion:

Therefore

x = 7.

Hoped this helped.

[tex]GeniusUser[/tex]

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