In ΔQRS, s = 5.2 inches, ∠S=129° and ∠Q=30°. Find the length of r, to the nearest 10th of an inch.

Answers

Answer 1

The length of r is 2.4 inches.

What is the law of sines ?

The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.

Given, In ΔQRS, s = 5.2 inches, ∠S=129° and ∠Q=30°

We know that, The sum of all angles of a triangle is 180°.

So, ∠Q + ∠R + ∠S = 180°

∠R = 180° - 129° - 30°

= 21°

Now, We also know that the law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal.

So, q/Sin Q = r/Sin R = s/Sin S

Or, we can say

r/Sin R = s/Sin S

r/Sin 21° = s/Sin129°

r/Sin 21° = 5.2 / Sin 129°

r = 5.2 × Sin 21°/Sin 129°

= 5.2 × 0.46

= 2.4 inches.

Learn more about Law of Sines from the given link:

https://brainly.com/question/27174058

#SPJ1

Related Questions

Please help me with the math questions!!!

1. Becky received $1,900 from her tax returns last year. If she invests that money in an account that yields 5.9% interest and is not compounded, how much interest will she earn if she leave the money in the account for 2 3/4 years?

2. Edward invested $43,800 in an account with yields 4.8% annually and is not compounded. How much will be in the account after two years?

3. Frank invested $12,700 add 8.8% interest that is compounded annually. What is his total balance after five years?

4. When Georgia started kindergarten, her parents set aside $10,000 in an account that yielded 5.6% interest compounded annually to pay for her college tuition. After six years of elementary school, three years of middle school and four years of high school, how much was in the account for Georgia’s college to tuition?

5. Harrison has an account with a balance of $155.59. This account has an interest rate of 9.4% compounded annually and the initial investment was two years ago. How much was the initial investment?

6. Iago invested $1240 in an account that yields 8% and is compounded annually. How much interest will Iago earn after two years?

7. At the end of three years, Josh had a balance of $1837.57 in an account that yielded 7% interest compounded annually. How much of that was interest?

Answers

Answer:

#1. $308.28

#2. $48,004.80

#3. $19,361.91

#4. $20,306.31

#5. $130.00

#6. $206.38

#7. $337.57

Step-by-step explanation:

All rounded to the near tenths place

and i just did this same assignment rn

Chuck left his house to ride his bike in a path like the right triangle
shown. How many total miles did Chuck ride his bike?

Answers

It would be 10 miles since we use Pythagorean Theorem

pls help, I need this :)

Answers

Answer:

1st statement is true

Step-by-step explanation:

The 1st statement is true since .25 is 25/100

The 2nd statement is false since 20 / 10 = 2 not .20 which is 2/10

The 3rd statement is false since 2/3 = .6666667 not .23

The 4th statement is false since .4 = 4/10 not 1/4 which is .25

The ratio of the number of boys to the number of girls in a choir is 7 to 4. There are 48 girls in the choir. How many boys are in the choir? A. 75 B. 84 C. 48 D. 90

Answers

Answer:

84boys

Step-by-step explanation:

boys:girls

7:4

4= 48

7=?

=84boys

Complete the square to find the vertex of this parabola. Please help will mark brainliest!

Answers

The vertex is (4, -20)

what is the area of a square with an apothem length of 14 inches?

Answers

Answer:

784

Step-by-step explanation:

A = 1/2ap A = area , a = apothem , p = perimeter

a = 1/2s a = apothem length , s = side length

14 = 1/2s , 14(2) = 1/2s(2) , 28 = s

p = 4(s) , p = 4(28) , p = 112

A = 1/2ap , A = 1/2(14)(112) , A = 784

A = s^2 , A = 28^2 , A = 784

The area of a square with an apothem length of 14 inches is 784 inches.

What is apothem?

The perpendicular from the center of a regular polygon to one of the sides.

As, A = 1/2*a*p

where, A = area , a = apothem , p = perimeter

Also, a = 1/2s

where, a = apothem length , s = side length

14 = 1/2s

14*2=s

s=28 inches.

Now, perimeter of square

p = 4(s)

p = 4(28)

p = 112 inches

Now, Area of square,

A = 1/2ap

A = 1/2*(14)*(112)

A = 784 inches

Hence, the area of square is 784 inches.

Learn more about apothem here:

https://brainly.com/question/9172186

#SPJ2

Help me please lol nnb

Answers

Answer:

128

Step-by-step explanation:

HEY CAN SOMEONE HELP ME WITH MY LASTEST MATH QUESTION I WILL GIVE BRAINLIST PLEASE :)))

Answers

Answer:

I would love to help!!

Step-by-step explanation:

Can someone please help me with this math question??

Answers

because the majority of the ppl who answered had 3 pets

To determine the amount of peanuts a bag will hold, Toby needs to find the
A: Area
B: Length
C: Perimeter
D: Volume

Answers

Answer:

D: Volume

Step-by-step explanation:

Answer:

Given: ladder = 17 m and base = 8 m

The ladder forms a right triangle with the base of 8 m, the wall will be 15 m and the ladder (hypotenuse) is 17 m.

Let’s say you did not know that this was a standard 8–15–17 right triangle.

This is how you can figure it out:

hypotenuse(h)2
2
= side21
1
2
+ side22
2
2

Let side1
1
= base and side2
2
= wall

172
2
= 82
2
+ wall2
2

wall = 172−82‾‾‾‾‾‾‾‾√
17
2
−
8
2

wall = 289−64‾‾‾‾‾‾‾‾‾√
289
−
64

wall = 225‾‾‾‾√
225

wall = 15 feet

>>>>>>>>>>15 feet

Find the area of the figure round to the nearest tenth

Answers

Answer:

72.0

Step-by-step explanation:

solve for x
2 3/4 x = 11 11/12

Answers

Answer:

If your question mean : 2×3/4×X = 11×11/12 then ans is (121/18) I.e. 6.722

Step-by-step explanation:

1) multiply all the numerator part

2) Cross multiply and solve for X.

Which graph represents the parametric equations x(t) = t + 3 and y(t) = t2 – 1 for –1 ≤ t ≤ 3?

Answers

Answer:

Graph 4 or D on edge

Step-by-step explanation:

guy above is correct

The formula that is used for calculating a parametric equation when converting from rectangular to parametric is y=f(x)

What is a Parametric Equation?

[tex]g(x) = 3x[/tex]

Sum of the functions:

To find the sum of the functions, we combine the like terms. So

[tex](f+g)(x) = f(x) + g(x) = -x^2 + 7x + 3x = -x^2 + (7+3)x = -x^2 + 10x[/tex]

[tex]-x^2 + 10x[/tex] is the answer

Answer:

the top and bottom ones

Step-by-step explanation:

What is the first quartile of the data shown in the box plot

Answers

Answer:

55 to 70

Step-by-step explanation:

The first quartile is the left-most region of the graph, from 55 to 70. The second quartile stretches from 70 to 80.

Factor this trinomial completely.
15x2 + 11x- 12
O A. (x+3)(15x – 4)
O B. (x + 4)(15x – 3)
O C. (3x + 4)(5x - 3)
O D. (3x + 3)(5x - 4)

Answers

Answer:

(5x-3)(3x+4)

Step-by-step explanation:

I hope this helps

Can someone please answer this

Answers

Answer:

It is true

Step-by-step explanation:

It is the same shape, it is just moved to a different spot on the graph because of translations.

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