Determine the measure of ∠Q, rounded to the nearest tenth of a degree.
images attached.

Determine The Measure Of Q, Rounded To The Nearest Tenth Of A Degree.images Attached.

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Using the Sine rule in Δ QRS , that is

[tex]\frac{q}{sinQ}[/tex] = [tex]\frac{r}{sinR}[/tex] , that is

[tex]\frac{15}{sinQ}[/tex] = [tex]\frac{12}{sin50.1}[/tex] ( cross- multiply )

12× sinQ = 15 × sin50.1° ( divide both sides by 12 )

sinQ = [tex]\frac{15sin50.1}{12}[/tex] , thus

Q = [tex]sin^{-1}[/tex] ( [tex]\frac{15sin50.1}{12}[/tex] ) ≈ 73.5° ( to the nearest tenth )


Related Questions

please help. Free the denominator of the fractionfrom irrationality:
[tex] \frac{2}{5 \sqrt{3} } [/tex]
[tex] \frac{ \sqrt{5 } + 2 }{ \sqrt{5} - 2} [/tex]

Answers

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\frac{2}{5\sqrt{3} }[/tex]

To rationalise the denominator, multiply the numerator/ denominator by [tex]\sqrt{3}[/tex]

= [tex]\frac{2\sqrt{3} }{5\sqrt{3}(\sqrt{3}) }[/tex]

= [tex]\frac{2\sqrt{3} }{15}[/tex]

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

Given

[tex]\frac{\sqrt{5}+2 }{\sqrt{5}-2 }[/tex]

Multiply the numerator/ denominator by the conjugate of the denominator.

The conjugate of [tex]\sqrt{5}[/tex] - 2 is [tex]\sqrt{5}[/tex] + 2 , then

= [tex]\frac{(\sqrt{5}+2)(\sqrt{5}+2) }{(\sqrt{5}-2)(\sqrt{5}+2) }[/tex] ← expand numerator/denominator using FOIL

= [tex]\frac{5+4\sqrt{5}+4 }{5-4}[/tex]

= [tex]\frac{9+4\sqrt{5} }{1}[/tex]

= 9 + 4[tex]\sqrt{5}[/tex]

Study the equations: f(x) = 6x + 7 g(x) = 4x – 2 What is h(x) = f(x)g(x)? h(x) = 24x2 – 14 h(x) = 24x2 + 40x + 14 h(x) = 24x2 + 16x – 14 h(x) = 24x2 + 12x – 14

Answers

Answer:

The value of h(x) = f(x)g(x) is 24x² + 16x – 14.

Step-by-step explanation:

Answer:

C. h(x) = 24x2 + 16x – 14

Step-by-step explanation:

Just answered it on Edge Unit Test. It is correct.

Dylan and his friends are going into a bakery. How much would it cost to buy 1 cookie and 5 brownies if each cookie costs $0.50 and each brownie costs $2.25? How much would it cost to buy 11 cookies and 55 brownies if each cookie cost \$c$c and each brownie cost \$b?$b?

Answers

Answer:

a)$ 11.75

b) $ 129.25

Step-by-step explanation:

Dylan and his friends are going into a bakery.

Each cookie costs $0.50 and each brownie costs $2.25?

a) How much would it cost to buy 1 cookie and 5 brownies

1 × $0.50 + 5 × $2.25

= $0.50 + 11.25

= $ 11.75

b) How much would it cost to buy 11 cookies and 55 brownies

11 × $0.50 + 55 × $2.25

= $5.5 + $123.75

= $ 129.25

What is the DOMAIN of the given relationship?
(-2, 4), (1, 0), (3, -1), (4, 4)

Someone answer ASAP plsss

Answers

Answer:

(-2,4)

Step-by-step explanation:

Because -2 is the x minimum and 4 is the x maximum :)

A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?the miles traveled.
m = 45h
h = 45m
m

Answers

Answer:

m=45

Step-by-step explanation:

I hour travels 45 minutes

Answer:

m=45h

Step-by-step explanation:

your welcome

what is 300 × = 120,000
there is nothing between the × and = cuz its asking me 300× what = 120,000.

Answers

The answer is 400

First, you must flip the equation.

[tex]120000[/tex] ÷ [tex]300[/tex] = ?

Then, you must simplify the equation.

[tex]1200[/tex] ÷ [tex]3[/tex] = ?

Finally, divide the two terms.

[tex]1200[/tex] ÷ [tex]3[/tex] = 400

A LOT OF POINTSS

find the surface area

Answers

Answer:

He used 286.73² in. of wrapping paper.

Answer:

I got 286.73

Step-by-step explanation:

I found the area of all the shapes in the thing and added them.

Pls correct me if I did the adding wrong cuz its 55+20+20+88+103.73

Jane's garden is 3.4 meters by 6.5 meters. If fencing costs $2.25 per meter, how much will it cost to put fence around her garden?

Answers

$49.73

because you would multiply the length and width of the fence then multiply by the price.

3.4 x 6.5 = 22.1

22.1 x 2.25 = 49.725

but you would round because you are dealing with money

Find the slope of the line through each pair of points. (9.-14). (8-8)​

Answers

Answer:

-6

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -8- -14)/( 8 -9)

  = ( -8+14)/( 8 -9)

  6/-1

  -6

Answer:

[tex]\boxed {\tt m= -6}[/tex]

Step-by-step explanation:

The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points given.

The points are (9, -14) and (8,-8). Therefore,

x₁=9

y₁= -14

x₂= 8

y₂= -8

Substitute the values into the formula.

[tex]m=\frac{-8 - -14}{8-9}[/tex]

[tex]m=\frac{-8 +14}{8-9}[/tex]

Solve the numerator.

[tex]m=\frac{6}{8-9}[/tex]

Solve the denominator.

[tex]m=\frac{6}{-1}[/tex]

Divide 6 by -1.

[tex]m= -6[/tex]

The slope is equal to -6

-7+0.3(-4x+20)+8.8x simplified

Answers

The answer would be

7.6x−1

.....

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Use the distributive property to factor the expression.

2
k

+

10

Answers

Answer:

Step-by-step explanation:

2k+10   | Both terms share the common factor two, so you can take it out (divide both terms by 2)

2(k+5)  | Now if you use the Distributive Property to double check, you get 2k+ 10 again

help please :( help me :)​

Answers

Answer:

  -2/3

Step-by-step explanation:

We are trying to find the slope given two points

m = ( y2-y1)/(x2-x1)

   = ( -1-3)/( 2- -4)

   = ( -1-3)/( 2+4)

   -4/6

  -2/3

help I will gvie brainiest
Shelly runs 2.5 miles in 18 minutes. What is her mile time in minutes?​

Answers

Shelly runs 2.5 miles every 18 mins. To find out how many minutes it takes her to run one mile, let's divide 18 by 2.5

18 mins / 2.5 miles = 7.2 mins / mile

3n + 2 =
24
17
5
i had to put extra letters

Answers

Answer:

17 is your answer

Step-by-step explanation:

: Susan works as a hostess where she makes $8.75 per hour. She also babysits and earns $10.00 per hour. Last week she made $165.00. If she worked 6 hours more as a hostess than she did babysitting, how many hours did she babysit last week?

Answers

Answer:

She worked 12 hours as a babysitter and hours 6 as a hostess

Step-by-step explanation:

She woks 6 hours and gets 52.20 as a hostess so if she worked 6 hours as a babysitter then she would make 60 and 165-60=105 and since she worked 6 hours as a baby sitter than she has to work 12 hours as a hostess to make 105  we know that 105+60 =165. Forgive me if I'm wrong but I hope this helps! [creds: cosmicredstone1]

(8x + 6) ° = ___°
8x =
x =

Answers

Answer:

Step-by-step explanation:

(8x+6)°=62°

8x=62°-6°

8x= 56°

X=(56/8)

X==7°

use the slope formula (m=y2-y1/x2-x1) to find the slope of a line given two points. (1, 6) and (-3,0) (7,2) and (0,-5) (-7,-3) and (-6,-4)

Answers

Answer:

See Below

Step-by-step explanation:

A) 3/2

B) 1

C)  -1

Using the slope formula, and plugging-in values

We want to find the slopes of different lines, given that we know two points on each line.

We will get:

a) 3/2

b) 1

c) -1

Now let's see how to find the slopes.

We know that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Using that equation we can find the slopes for this problem.

a) (1, 6) and (-3,0)

The slope will be:

[tex]a = \frac{6 - 0}{1 - (-3)} = \frac{6}{4} = \frac{3}{2}[/tex]

b) (7,2) and (0,-5)

The slope will be:

[tex]a = \frac{2 - (-5)}{7 - 0} = 1[/tex]

c)  (-7,-3) and (-6,-4)

The slope will be:

[tex]a = \frac{-3 - (-4)}{-7 - (-6)} = -1[/tex]

If you want to learn more, you can read:

https://brainly.com/question/16180119

Problem 11. *
11. Grace has $6 to buy a gallon of milk and some apples. The gallon of milk costs $3.59 and the apples
cost $0.60 each. Which inequality could she use to find out how many apples she can buy?
A) 6 2 0.6x + 3.59
B) 6 S 0.6x + 3.59
C) 6 S 0.6x - 3.59
D) 6 2 0.6x - 3.59

Answers

Answer:

Step-by-step explanation:

a

A group of students must collect at least $ 150 to organize a science fair. They have alre that the students should still collect to organize the Science fair? O -210-180-150-120-9060-30 30 60 90 120 150 180 210 -210-180 -150-120-90 90-60-30 0 30 60 90 120 150 180 210 O -210-180-150-120 90 -60-30 0 30 60 90 120 150 180 210 O H -210-180-150-120 90 60 30 0 30 60 90 120 150 180 210​

Answers

THE ANSWERS (B.) i took the test surprisingly got it right

Answer:

it is b

Step-by-step explanation:

hope it helps

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

Answer:

see below

Step-by-step explanation:

shape LNMP is :

translated as 0,-7 flip of mirrored along y-axis reflected imaged is ABCD as given

Jody and her friends are playing a game in which the person who scores closest to zero points after three rounds wins! Jody's friend Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round. Jody scored 10 points in the first round and lost 4 points in the second round. What will Jody need to score in the third round to win the game? (3 points)

Answers

Answer:

Jody needs to lose the third round by 6 points to win the game.

Step-by-step explanation:

The rule of the game is the person who scores closest to zero points after three rounds win.

Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round.

So, total points for Robyn = 5-8+4=1

So, the magnitude of the closeness of Robyn's score from zero

=|1-0|=1

Jody scored 10 points in the first round and lost 4 points in the second round.

Let Jody score x point in the third round.

Total points for Jody= 10-4+x=6+x

So, the magnitude of the closeness of Jody's score from zero

=|6+x-0|=|6+x|

The condition for Jody to win the game is his points must be closer to zero than Robyn's points, i.e

|6+x|<1

Case 1: If  [tex]x\geq -6[/tex],

6+x<1

[tex]\Rightarrow x<-5[/tex], which is not possible for this case.

Case 2: If  [tex]x\leq -6[/tex],

-(6+x)<1

[tex]\Rightarrow x+6>1[/tex]

[tex]\Rightarrow x>-5[/tex]

For this case [tex]x= -6[/tex] is the only possibility.

So, Jody must score -6 in the third round to win the game. i.e Jody needs to lose the third round by 6 points.

Six potted plants cost $48, at this rate what is the cost per plant?

Answers

Answer:

cost per plant is 8 dollars

Step-by-step explanation:

48÷6=8

8×6=48

Answer:

Step-by-step explanation:

Cost of six potted plants = $ 48

Cost of one potted plant = 48 ÷ 6

                                         = $ 8

Simplify 9 to the 2nd power\ 9 to the 7th power

Answers

Answer:

9^2/9^7 = 9^-5

Step-by-step explanation:

I don't get this...​

Answers

Answer: The answer is D. 17.9

Step-by-step explanation: Use the equation [tex]c = \sqrt{a^2 +b^2}[/tex] where c represents the triangles hypotenuse and a and b represent the legs of the triangle.

I hope this helps have a great day!

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So first you should remember that....

[tex]a^{2} +b^{2} =c^{2}[/tex]

then you should plug in...

[tex]8^{2}+16^{2}[/tex]

that should equal...

[tex]c^{2}=320[/tex]

Then you should solve the equation now by doing the inverse of the square which is the square root of both sides...

[tex]\sqrt{c^{2} } =\sqrt{320}[/tex]

[tex]c=17.88854382...[/tex]

Then you have to round it to the nearest tenths, which'll give you...

[tex]17.9[/tex]

choice D

Combine the like terms to create an equivalent expression:
-3z-z

Answers

It would be -4z
(: need more characters

Can you guys help please!! Due very soon!

Answers

the y-intercept is at (0,2) where it's touching the y-axis. That's why it's called y-intercept.

Hope thishelps!

The y intercept is (0,2) because that’s where the line intercepts the y axis

Choose the correct written expression for: 25 – (3 x 4).

Answers

Answer:

13

Step-by-step explanation:

Answer:

25 minus the product of 3 and 4.

Step-by-step explanation:

PEMDAS

and... I just took the test and it was correct answer.

The Newtown Telephone Company advertises that if you use their 10-10 service, you will always pay only 8¢ per minute, no matter where you call within the country. Its major rival, Tryus Telephone Company, charges only 2¢ per minute, but you must pay a 42¢ "connection fee" per call. (a) Create a cost equation for each telephone company where y is the total cost for each phone call (in cents), and X is the number of minutes the phone call lasts. Write a system of equations, Newtown Telephone Company y=0




please help quickly​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the information above :

A) Cost equation for Newton Telephone company :

y = 8x

Where x = number of minutes used

y = total cost for x minutes

Cost equation for Tryus telephone company :

y = connection fee + (fee per minute * number of minutes)

y = 42 + (2x)

Where x = number of minutes used

y = total cost for x minutes

Amount is in cent

solve for x .

y+2x=5

Answers

the answer is x = y/2 - 5/2

Answer:

x=-2x+5

Step-by-step explanation:

pleaseeeeeeeeeeeeeeeee solve this

Answers

Answer:

360 degrees

Step-by-step explanation:

We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as  the exterior angles of the given triangles, their sum will be 360 degrees as well.

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