In ΔNOP, p = 72 inches, o = 84 inches and ∠O=19°. Find all possible values of ∠P, to the nearest degree

Answers

Answer 1

Answer:

16

Step-by-step explanation:

Answer 2

The value of the angle m∠P is given by the law of sines and m∠P = 16°

What is the law of sines?

The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.

Law of Sines :

a / sin A = b / sin B = c / sin C

Given data ,

Let the triangle be represented as ΔNOP

Now , the measure of side p = 72 inches

The measure of side o = 84 inches

And , the measure of angle ∠O = 19°

From the law of sines , we get

a / sin A = b / sin B

On simplifying , we get

sin p / 72 = sin o / 84

Multiply by 72 on both sides , we get

sin p = ( 72 / 84 ) sin ( 19 )°

On further simplification , we get

sin p = ( 0.857 ) x 0.325568

sin p = 0.279058

Taking inverse on both sides , we get

p = sin ⁻¹ ( 0.279058 )

p = 16.204°

Therefore , the value of p is 16°

Hence , the measure of angle ∠P = 16°

To learn more about laws of sines click :

https://brainly.com/question/13098194

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Related Questions

help pleaseee aha

find x pleaser

Answers

Answer:

125 degrees

Step-by-step explanation:

It is congruent to the angle that is labeled 125 degrees

Hope that helps!

Answer:

x = 125 degrees

Step-by-step explanation:

ok so the 2 lines are parallel and there is a line through them

i see the opposite angle to x equals 125 degrees

they are the same so...

x = 125 degrees

HELP!!! pls with this question !

Answers

Answer:

B

Step-by-step explanation:

the graph should start at negative five not four

90 out of 120 students like pizza. what percent of students did not like pizza?

Answers

Answer:

25%

Step-by-step explanation:

90/120=0.75

1-0.75=0.25

0.25x100= 25%

Question 1
(n - 3)(2n + 6)
18n2 - 45n + 25

Answers

(n-3) 2n+6)
18n2-45n+25

8n-18n2-45n+25
8n-18n2
8-45n=37
37+25=62

Answer:

36n^4−324n^2−45n+25

Step-by-step explanation:

-8(5m-7.4)
NEED ASAP

Answers

Answer:

-40m = 59.2

Step-by-step explanation:

simplify

Answer:

-40m + 59.2

Step-by-step explanation:

Distribute

-40m + 59.2

If you're solving for m then set the equation equal to 0 and solve.

-40m + 59.2 = 0

-40m = -59.2

m = 37/25

0.2(3k+1)=-0.4-(-0.2-0.1K)

Answers

Answer:

k=−0.8

Step-by-step explanation:

Start with the equation: 0.2(3k+1)=-0.4-(-0.2-0.1K)

Use distributive property on each side of the equation. For the left side, distribute 0.2 into 3k and 1, and for the right side, distribute -1 into -0.2 and -0.1k. (We use a -1 because the negative sign on the outside of the parenthesis is equivalent to -1)

(0.2)(3k) + (0.2)(1) = 0.6k + 0.2

(-1)(-0.2) + (-1)(-0.1k) = 0.2 + 0.1k

New equation: 0.6k + 0.2 = -0.4 + 0.2 + 0.1k

Now we can combine like terms on the right side. (-0.4 and 0.2)

0.6k + 0.2 = 0.1k - 0.2

Now to get rid of k on one side, we can subtract 0.1k from the right side.

(0.6k - 0.1k) + 0.2 = (0.1k - 0.1k) - 0.2

0.5k + 0.2 = -0.2

Now we need to get 0.5k by itself, so we'll subtract the 0.2 on both sides.

0.5k + (0.2 - 0.2) = (-0.2 - 0.2)

0.5k = -0.4

To get k by itself, we must divide both sides by 0.5.

(0.5k / 0.5) = (-0.4 / 0.5)

k = -0.8

In one day, Ricardo hiked 2_ 2 3 times as far as Bernie and Chloe hiked before they ate lunch. How far did he hike?

Answers

Complete question :

Bernie and Chloe hiked the Tremont Trail to the end and back. Then they hiked the Wildflower trail to the end before stopping to eat lunch. Before Ricardo ate his lunch, he hiked 2 2/3 times as far as Bernie and Chloe. How far did he hike?

Required diagram is attached below

Answer:

25 miles

Step-by-step explanation:

Tremont Trail = 3 1/2 miles

Wildflower trail = 2 3/8 miles

Distance covered ; Tremont Trail and back : (3 1/2 * 2). = 7/2 * 2 = 14 /2 = 7 miles

Total distance covered by Bernie and Chloe before stopping for lunch /

(7 miles + 2 3/8 Miles) = 9 3/8 miles = 75/8 miles

Ricardo's distance = 2 2/3 * Bernie and Chloe's total distance

Ricardo's distance = 8/3 * 75/8 = 600 /24 = 25 miles

Alyssa had 191 dollars to spend on 6 books. after buying them she had 17 dollars. how much did each book cost?

Answers

Answer:

29$

Step-by-step explanation:

191-17=174

174/6=29

Answer:

$29

Step-by-step explanation:

Rex puts $5,000 in a savings account with a simple
interest rate of 2.5%. How much interest does Rex
carn after 2 year's

Answers

Answer:

Rex earns $250 in interest after 2 years.

Step-by-step explanation:

Solve 2x + 20 = 6x – 12*

Answers

Answer:

x = 8

Step-by-step explanation:

Given

2x + 20 = 6x - 12 ( subtract 2x from both sides )

20 = 4x - 12 ( add 12 to both sides )

32 = 4x ( divide both sides by 4 )

8 = x

=> 2x + 20 = 6x - 12

=> 20 + 12 = 6x - 2x

=> 32 = 4x

=> x =32/4

=> x = 8

What is the name of the circle that has radius ?

A
B
C

Answers

I will say C.........

WILL GIVE BRAINLIEST!
The sum of three consecutive odd integers is fifty-one. Find the integers. (Enter your answers as a comma-separated list.)​

Answers

Answer:

15, 17, 19

Step-by-step explanation:

let the first odd number be n then the next 2 are n + 2 and n + 4 , then

n + n + 2 + n + 4 = 51

3n + 6 = 51 ( subtract 6 from both sides )

3n = 45 ( divide both sides by 3 )

n = 15

Then

n + 2 = 17 and n + 4 = 19

The 3 consecutive odd numbers are 15, 17, 19

calcule o valor x na equação do 1° grau: 16x-21=x+9​

Answers

Answer:

16x-21=x+9

15x=30

x=2

eu acho que e nao sei mais o outro cara respondeu ali

Step-by-step explanation:

please help asap....​

Answers

Answer:

(3x-2)(2x+3)

Step-by-step explanation:

Jennifer gets a salary of $12000 while David gets $8400 more per month. What is the ratio of the salaries of Jennifer and David?

A.10 : 7

B.7 : 10

C.9 : 6

D.12 : 7​​

Answers

Step 1
Jennif er's salary = $12000
Step 2
It is given that David gets $ 8400 more per month than Jennifer, therefore David's salary = 12000 + 8400 = $20400
Step 3
The fraction of the salaries of Jennifer and David = 12000 = 10 204 00 17
Step 4
Therefore the ratio of the salaries of Jennifer and David = 10:17

f(x)= 2x +6 , vertical shrink by a factor of 1/2

Answers

Answer:

g(x) = x+3.

Step-by-step explanation:

i hope this helps :D

When a function is shrunk vertically, the function has undergone a form of transformation.

The resulting function when [tex]f(x) = 2x + 6[/tex] vertically shrink by 1/2 is [tex]f'(x) = x + 3[/tex]

Given that:

[tex]f(x) = 2x + 6[/tex]

[tex]k = \frac 12[/tex] --- shrink factor

When a function is shrunk vertically, the rule of transformation is:

[tex](x,y) \to (x,ky)[/tex]

So, we have:

[tex]f'(x) = k f(x)[/tex]

The new function becomes

[tex]f'(x) = \frac 12 \times (2x + 6)[/tex]

[tex]f'(x) = x + 3[/tex]

Hence, when [tex]f(x) = 2x + 6[/tex] is vertically shrunk by 1/2, the new function is [tex]f'(x) = x + 3[/tex]

Read more about transformations at:

https://brainly.com/question/11709244

a TV reduced by 30% to £560. What was the original cost of the TV?​

Answers

Answer:

£800

Step-by-step explanation:

when you recuce the price of something by 30%, it is 70% of the original (100% minus whatever percent reduction).

.7x=560 where x is the original price of the tv

560/.7=800

the original price of the tv is £800

Can someone please help me with this? Mhanifa? I will mark brainliest

Answers

Answer:

Option C 20

GOOD LUCK FOR THE FUTURE! :)

what is the volume of the conical paper cup? (image included) i will mark the best answer as brainliest :)

Answers

Formula for cone  = 1/3 x cross section x h

= 1/3 x 9 π x 7

= 1/3 x 62.9999999

=  21 π

can someone show me step by step on how to get the answer?

Answers

I'm confused with that too, have you researched your answer?

Solve the inequality.

5z ≥ −75


z ≤ −15


z ≥ −375


z ≥ −15


z ≤ 15

Answers

Answer:

z ≥ −15

Step-by-step explanation:

5z ≥ −75

Divide each side by 5

5z/5 ≥ −75/5

z ≥ −15

solve and get brainliest​

Answers

Answer:

25 dollars are saved

Step-by-step explanation:

you need to subtract 45 and 20

Answer: 25 $ is saved

Step-by-step explanation:

Expression Name Expression

E 3.8 ⋅ 6.8

F 7 ⋅ 0.5

G –8 ⋅ 4∕7

H 9 ⋅ (–3)
The table above shows four numeric expressions. Which expression is an integer when it's evaluated?
A) E
B) H
C) G
D) F

Answers

The expression that will be an integer when it is evaluated is given by:

B) H.

Which expression is always an integer value?

When two integers are multiplied, the result is always an integer.

In this problem, expression H has the multiplication of two integers, 9 and -3, hence option B is correct.

The other expressions have rationals involved in the multiplication, hence the result of the expression will be a rational.

More can be learned about expressions and integers at https://brainly.com/question/2973027

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The reading levels of a random sample of elementary students are represented by the dot plot.
Which decimal is the best approximation of the mean reading level for this group of students?
Select one:

2.7

1.5

2.3

1.9

Answers

It’s 1.2 exactly





Step by step example

Ik the answer but can you explain how
Giving brainliest

Answers

Answer:

4/5 * 3/7

To multiply the fractions, multiply the numerators and denominators separately

4*3/5*7

multiply the numbers

12/5*7

multiply the numbers

12/35

hope that helps

Step-by-step explanation:

Multiply four and three and then multiply five and seven

what is the value of p(x)=6x^4+2x^3-x+2 at x=0

Answers

Answer:

2

Step-by-step explanation:

Plug in x=0

p(x)=6x^4+2x^3-x+2 at x=0

p(0)=6(0)^4+2(0)^3-(0)+2

p(0)=2

Answer:

2

Step-by-step explanation:

6×0^4+2×0^3-0+2

=0+0-0+2

=2

what is the answer to this 5(a+b)-a-b​

Answers

Answer: 4a + 4b

Step-by-step explanation: distribute the 5 and combine like terms. It would distribute to 5a + 5b -a -b which simplifies to 4a + 4b.

Answer:

4a + 4b

have a great day!!

Aubrey finished 2/9 of a project on Monday and 1/4 of the project of Tuesday. How much of the project has Aubrey completed?

Answers

Answer:

17/36

Step-by-step explanation:

We have to find a common denominator, so the first common denominator for 4 and 9 is 36. 9x4=36, so we multiply 2 by 4, which equals 8. 4x9-36, so we multiply the 1 by 9, and get 9. Then we add the numerators, 8 and 9, and get 17. So it's 17/36

WHO WATCHES HAIKYUU OR HAS READ THE MANGA

Answers

Answer:

I do

Step-by-step explanation

I like the manga

Answer:

mmeeee ‍♀️

Step-by-step explanation:

omg thats a rlly good drawing too

Please help and please show your work i need to know how to do this please I beg

Answers

Answer:

so first do the top one so that would be 7*2 which is 14

and then the bottom which is 5*12 so that would be 60.

60+14 is 74!! 74sq in!

Step-by-step explanation:

Answer: 74
Explanation: multiply the base (12) by the side (5) which is 60. Then do 7 times 2 which is 14 then add them Togehter
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