In ΔPQR, sin P = 0.2, sin R = 0.2 and r = 12. Find the length of p.

Answers

Answer 1

9514 1404 393

Answer:

  p = 12

Step-by-step explanation:

The sines of the opposite angles are the same, so the lengths of the sides are the same.

  p = 12

_____

The law of sines tells you ...

  p/sin(P) = r/sin(R)

  p/0.2 = 12/0.2 . . . . . . substitute given values

Multiply by 0.2 to get ...

  p(0.2/0.2) = 12(0.2/0.2)

  p = 12


Related Questions

Suppose a right triangle has a
hypotenuse length of 12. If one of
the legs has length 5, what would
the length of the last leg be?

Answers

Answer:

See the last two lines below. I don't know which one you want.

Step-by-step explanation:

hypotenuse = 12

One leg        = 5

other leg =      x            Substitute into a^2 + b^2 = c^2

x ^2 + 5^2 = 12^2

x^2 + 25 = 144              Subtract 25 from both sides

x^2 = 144 - 25              Combine

x^2 = 119                      Take the square root of both sides

x = sqrt(119)

x = 10.91

Rony earns 17 dollars less than half of what John earns. If John earns p dollars, how much does Rony earn in dollars?
a. p - 1/2
b. 1/2 + p
c. (p/2) - 17
d. 17 + (p/2)

Answers

Answer:

The correct choice is option c. (p/2) - 17

give the distance between two points with the given coordinates.
-10.3 and -12.1

Answers

I believe the answer is 2.8

IM GIVING BRAINLIEST!! suppose F is a 10-newton vector direction 60 degrees north of east and g is a 12-newton vector directed 45 degrees north of east. find the magnitude and direction of the resultant vector r = f + g. round the answer to the nearest tenth

Answers

Answer: The magnificent of east and g is a round out of the fraction that is in direct to 32 degrees and the other direction of the resultant 10 = 12 + F

45 = 60 + F.

Tính đạo hàm cấp n của hàm số f(x) = 3x − 1
4x + 3

Answers

Answer:

so fx 3x-1 '4x+3

Step-by-step explanation:

please mark me brainliest answer

Solve equation by completing the square.

Answers

Answer:

x=3 and x=5

Step-by-step explanation:

x2−8x+15=0

To solve the equation, factor x2−8x+15 using formula x2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=−8ab=15

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 15.

−1,−15−3,−5

Calculate the sum for each pair.

−1−15=−16−3−5=−8

The solution is the pair that gives sum −8.

a=−5b=−3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−5)(x−3)

To find equation solutions, solve x−5=0 and x−3=0.

x=5x=3

hope it helps :)

Build a function whose domain is all real numbers other than -4, and whose range is all real numbers other than 5.

Answers

Answer:

An example is the rational function [tex]y=\frac{5x}{x+4}[/tex].

Step-by-step explanation:

The graph of the rational function [tex]y=\frac{5x}{x+4}[/tex] has a vertical asymptote at x = -4 where the denominator is equal to zero.  The function is undefined there, so the domain is all real numbers except -4.

The graph has a horizontal asymptote  y = 5  so the domain is all real numbers except 5.

See the attached image for the graph of the function (purple) and it's vertical asymptote (black).

smallest to largest. 14/5, 2.4, 2 1/3, 1.41​

Answers

Answer:

1.41, 2 1/3, 2.4, 14/5

Step-by-step explanation:

Change everything to decimal points first

Some Word Problems

1. You are making sandwiches for a large crowd. All must be identical and must contain 2 slices of bread, 2 teaspoons mustard, 3 slices salami, 2 slices of cheese, 2 lettuce leaves, and 1 slice tomato.

You have on hand

2 loaves of bread, 20 slices each 3 pounds of cheese, each pound gives 16 slices 1 quart of mustard 60 slices of salami An unlimited supply of tomatoes from your garden 3 head of lettuce, approximately 15 leaves in each

How many sandwiches can you make?

For which ingredients is (are) there no leftovers?

In case you've forgotten your kitchen conversions: 1 quart = 4 cups; 1 cup = 16 tablespoons; 1 tablespoon = 3 teaspoons​

Answers

We are to find how many sandwiches can be made and the ingredients that has leftovers

You can make 20 sandwiches

lettuce has 1 leftover and tomato has unlimited leftover

Recipe for Sandwiches:

Bread = 2 slices

Mustard = 2 teaspoons

Salami = 3 slices

cheese = 2 slices

Lettuce = 2 leaves

Tomato = 1 slice

3 pounds of cheese = 16 × 3 slices = 48 slices2 loaves of bread = 20 slices × 2 = 40 slices

1 quart of mustard = 4 cups × 16 tablespoons × 3 teaspoons

= 192 teaspoons

lettuce = 3 heads × 15 leaves

= 45 leaves

Recipe available:

Bread = 40 slices

Mustard = 192 teaspoons

Salami = 60 slices

cheese = 48 slices

Lettuce = 45 leaves

Tomato = unlimited

Bread

Recipe available / original recipe

= 40 slices / 2 slices

= 20 servings

No leftovers

Mustard

Recipe available / original recipe

= 192/2

= 96 servings

No leftovers

Salami

Recipe available / original recipe

= 60 / 3

= 20 serving

No leftovers

Cheese

Recipe available / original recipe

= 48/2

= 24 servings

Lettuce = 45/2

= 24 remaining 1

leftover = 1

Tomato = unlimited leftovers

The ingredients available can only make 20 sandwiches equally

Read more:

https://brainly.com/question/24540733

What is the value of the expression when n = 3?
-2 n(5 + n-8-3n)
12
24
42
ОО
54

Answers

I’m trying to figure this out too

Answer:

The value = 54

Step-by-step explanation:

–2n(5+n–8–3n) = –2(3)(5+3-8-3(3)) = –6(5+3-8-9)=–30–18+48+54=54

I hope I helped you^_^

FIRST -CORRECT- ANSWER WILL GET BRAINLIEST!!

Find u.


A. 2√2

B. 2

C. 4

D. √2

Answers

Answer:

u=2 root 2

Step-by-step explanation:

All 45 45 90 degree triangles follow the same pattern

2 Rodney owns 5 shirts for every 2 pairs of jeans he owns. Draw a model to
represent the two quantities and then write a ratio to compare the quantities.
Explain your reasoning.

Answers

Ratios are used to show the relationships between 2 or more related variables.

The ratio that compare the quantities is: [tex]x : y = 5 : 2[/tex].See attachment for the model

Let

[tex]x \to[/tex] Shirts

[tex]y \to[/tex] Pair of jean

The given parameter can be represented as:

5 shirts = 2 pairs of jeans

Replace the terms with their variables

[tex]5x = 2y[/tex]

Represent as a ratio:

[tex]x : y = 5 : 2[/tex]

Hence, the ratio that compares the two quantities is: [tex]x : y = 5 : 2[/tex]

See attachment for the model that represents the two quantities

Learn more about ratios at:

https://brainly.com/question/13419413

Does the table represent a function? Why or why not?

Answers

Answer:

A.

Step-by-step explanation:

one x value cant go to two y values

Answer:

No....Not at all

You can select option A as the correct answer

Step-by-step explanation:

There can be two possibilities

x is an independent variable and y is a dependent variabley is an independent variable and x is a dependent variable

From the definition of Function, We know, the value of a dependent variable corresponds to exactly one value of the independent variable

For possibility 1, For x = 5 and 9, y = 2 & for x = 5 and 7, y = 3

So this can't be a function

For possibility 2, For y = 3 and 2, x = 5

So this can't be a function

Hope you have understood this.....    

ask me if you have any confusion.....    

if you liked it pls mark it as the brainliest

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

a = 6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 8^2 = 10 ^2

a^2 +64 = 100

a^2 = 100 -64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

how much is 72 kilograms in pounds

Answers

Answer:

158.733 that's the answer

9514 1404 393

Answer:

  about 159 pounds

Step-by-step explanation:

The exact conversion factor from kilograms to pounds is ...

  1 lb = 0.45359237 kg

So, to find the number of pounds, you multiply:

  [tex]72\text{ kg}\times\dfrac{1\text{ lb}}{0.45359237\text{ kg}}\approx\boxed{158.7328\text{ lb}}[/tex]

The conversion is often approximated by 1 kg = 2.2 lb, which gives an answer that is about 0.21% low.

Can someone help me with an idea please? I need something like this for math and science week but i think my idea is really lame. It has to be a photograph and it can be physics, chemistry or math! Pls lmk your ideas cuz im running out of them

Answers

Answer:

take a light bulb and a potato and some wires connect together will give light

Answer:

i have attached a pic of an idea that might help you

:)

4. (k? - 4k+7)+(k? +9k – 3)
ON SA

Answers

Answer:

7k + 4

Step-by-step explanation:

I don't know what ON SA means, but here's how I solved it:

(k - 4k + 7) + (k + 9k – 3)

(-3k + 7) + (10k - 3)

(-3k + 10k) + (7 - 3)

7k + 4

A share of stock is now worth 20% of its value from a year ago. If it is now worth $44,250, what was it worth a year ago?

Answers

Answer:

$8850

Step-by-step explanation:

44250 divided by 0.2 (output value converted from percentage to decimal)

Similarly, if you want to add percentage, multiply instead of divide!

Sam baked an equal number of sausage buns and
custard buns. During the day, 68 sausage buns were
sold. Sam also baked another 27 custard buns to meet a last-minute
order. At the end of the day, Sam had baked 6 times as many custard
buns as the number of sausage buns remaining. How many sausage
buns did Sam bake at first?

Answers

Answer:

87

Step-by-step explanation:

number of sausage buns = s

number of custard buns = c

at the start of the day, s = c

at the end of the day

c+27=6(s-68)

since c = s,

s+27=6(s-68)

s+27=6s-408

-5s = -435

s=87

Let us represent:

The number of sausages baked at first =  s

The number of custard buns baked at first =  c

During the day, 68 sausage buns were  sold. This can be expressed using algebraic equations as:

       s - 68

Sam also baked another 27 custard buns to meet a last-minute  order. This can be expressed using algebra as:

        c + 27

At the end of the day, Sam had baked 6 times as many custard  buns as the number of sausage buns remaining.

Hence:

c + 27 = 6 (s - 68)

c + 27 = 6s - 408

Note: Sam baked an equal number of sausage buns and custard buns. This means:

        c = s

Hence,

c + 27 = 6s - 408

s + 27 = 6s - 408

Collect like terms

408 + 27 = 6s - s

435 = 5s

Divide both sides by 5

435/5 = 5s/5

s = 87

Therefore, the number of sausage buns Sam baked at first is 87 sausage buns.

To learn more, visit the link below:

https://brainly.com/question/2237530

A sofa is on sale for $442, which is 85% of the regular price.

Answers

You probably want to know how much is the regular price:
X*0.85 =442$ /0.85
X = 442$/0.85
X = 520$
Regular price is:520$

[tex]\frac{442}{x} = \frac{85}{100} \\85x = 44200\\x = \frac{44200}{85} = 520[/tex]

Original price is 520

Find the place value of 7 in 374596

Answers

Answer:

It is tens

Step-by-step explanation:

3 » ones

[tex]{ \boxed{ \sf{7 \: » \: tens}}}[/tex]

4 » hundreds

5 » thousands

9 » ten thousands

6 » hundred thousands

create 5 problems using all operations that has a solution of 5​

Answers

Answer:

((5*5) + (10-5) * (50/100)) ÷ 3 = 5

((4*4)+(17-8 *(1.378/2)) ÷ 3.445 = 5

Step-by-step explanation:

Find the midpoint of the line segment with the given endpoints.
(-1, 5), (6,6)
A) (-3.5, -0.5)
C) (13,7)
B) (2.5, 5.5)
D) (2,6)




Answers

The answer should be (2,5) (11,2)

sketch the curve of y=x² with conclusion.​

Answers

Step-by-step explanation:

I have attached pictures. Hopefully they are visible.

:)

what fraction of a minute is 50 seconds​

Answers

[tex]\large \mathfrak{Solution : }[/tex]

we know,

[tex]60 \: \: sec = 1 \: \: min[/tex]

[tex]1 \: \: sec = \dfrac{1}{60} \: \: min[/tex]

[tex]50 \: \: sec = \dfrac{1}{60} \times 50 \: \: min[/tex]

[tex]50 \: \: sec = \dfrac{5}{6} \: \: min[/tex]

50 seconds is 5/6 th of a minute.

In a survey of small business owners, a response to which of the following questions would be qualitative?

a. How much did your business have in profits last year?
b. How long have you owned a business?
c. What type of business do you own?
d. How many businesses do you own?

Answers

C I believe is the correct answer

For the considered survey, the questions whose response is going to be qualitative is given by: Option C: "What type of business do you own?"

What is qualitative data?

Qualitative data tells about the quality or characteristic. It is tough to express it numerically or not at all expressible numerically. They are usually catagorical.

In contrast, there is quantitative data which can be expressed numerically.

Option A, Option B and Option D will get answers which would be in numbers. Thus, their responses would be quantitative.

Option C's question will get response as type of business that the business owners own. So its not in numbers and tells about the characteristic of businesses.

Thus, for the considered survey, the questions whose response is going to be qualitative is given by: Option C: "What type of business do you own?"

Learn more about qualitative and quantitative data here:

https://brainly.com/question/12929865

cho hàm số y= x^{3} +3x^{2} -1 .viết phương trình tiếp tuyến tại điểm có hoành độ bằng -1

Answers

hope you do not mind expressing this on in English ‍♂️

ANSWER FAST 50 POINTS PLEASE !!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)

Answers

Line 1-Line 2-Associative property .

Line 2-Line 3- Distributive property

Solution:-

[tex]\\ \rm\longmapsto (9+x)x[/tex]

[tex]\\ \rm\longmapsto x(x+9)[/tex]

[tex]\\ \rm\longmapsto x(9+x)[/tex]

[tex]\\ \rm\longmapsto x^2+9[/tex]

What is the smallest number that has both 8 and 9 as a
factor?
A 72
B 36
C 54
D 48

Answers

Answer:

A

Step-by-step explanation:

8 and 9 can go in 72.

Look for the LCM of 72

Answer:

72

Step-by-step explanation:

72 has both 8 and 9 as its factors from the alternatives

Apart from 72,

the available options does not have both 8 and 9 being its factors.

Write sentences to explain 1/5 x 1/2 = 1/10

Answers

Answer:

Explaination down below

Step-by-step explanation:

Before you start this question, make sure you know this rule. When multiplying fractions, Multiply the numerator by the other numerator and multiply the denominator by the other one.

[tex]\frac{1}{5}[/tex] x [tex]\frac{1}{2}[/tex]. 1*1=1, so one is the numerator. 2*5= 10 so 10 is the denominator.

The final answer is [tex]\frac{1}{10}[/tex].

You could also look at it another way. What is one half of one-fifth?

That is another way to look at it.

If this helped, please mark me as brainliest. Thank you! ;)

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