In ΔNOP, o = 720 inches, ∠P=163° and ∠N=16°. Find the length of n, to the nearest 10th of an inch

Answers

Answer 1

Answer:

11371.4

Step-by-step explanation:

delta math

Answer 2

The length of n is 11373.1 inches

What is triangle?"It is a polygon having three sides, three vertices.""The sum of all angles of triangle is 180°"

For given example,

As we know for ΔNOP,

[tex]\frac{n}{sinN}=\frac{0}{sinO}=\frac{p}{sinP}[/tex]

We know that the sum of all angle of triangle is 180°

For ΔNOP,

⇒ ∠N +∠O + P = 180°

⇒ 16° + ∠O + 163° = 180°

⇒ ∠O = 180 - 179

⇒ ∠O = 1°

The length of n is,

[tex]\frac{n}{sinN}=\frac{0}{sin1}\\\\n(sin1)=0(sin16)\\\\0.01745(n)=720(0.27564)\\\\n=\frac{198.4608}{0.01745}\\\\n=11373.112\\\\n\approx 11373.1~in.[/tex]

Therefore, the length of n is 11373. 3 inches

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Related Questions

BE FAST IM TIMED
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researcher will randomly place the students into five equally sized treatment groups suitable for comparison.

Which number range would be needed to label the students correctly?

A 0–4
B 1–5
C 00–75
D 01–75

Answers

Answer:

D

Step-by-step explanation:

Answer:hope it helped

Step-by-step explanation:

c answer

4 brainliest no steal points or i report
Drag and drop the numbers to order them from least to greatest.
-4.79
-4 8/11
4 7/9
4.709

Answers

-4.79, -4 8/11, 4.709, 4 7/9

Find the slope of the line.
(Will give brainliest)

Answers

Answer:bro its just a  black picture

Step-by-step explanation:

Consider the function y=0.88(1.1)x.identify what type of function this is
A.Exponential growth
B.Exponential decay

Answers

Answer:

A

Step-by-step explanation:

pls help me!! thank you!!

Answers

Full working out shown from step 1 to last.

follow it and you get 24 square feet as final answer. Good luck in other questions!!!

3÷657 using partial products

Answers

Answer:

219

Step-by-step explanation:

what is the answer to this question

Answers

Answer:

D is the answer

Step-by-step explanation:

can you answer me please

Answers

Answer: 1. 10   2. 18

Step-by-step explanation:

1.) 25% of 40 is 10 so she made 10 free throws.

2.) 150% of 12 is 18 so she made 18 free throws.

It is very blurry.. please try asking the question again for me to see.

A gardening club has 21 members, of which 13 are males and the rest are females. What is the ratio of females to all
Club members.

Answers

Answer:

There are 8 Females out of the 21

A garden has the form of a right triangle. One leg of the triangle is formed by a 2000-ft long sea wall. The hypotenuse of the triangle is 400 ft longer than the other leg. What are the dimensions of the garden?

Answers

Answer:

[tex]H = 5200[/tex] - Hypotenuse

[tex]S_1 = 2000[/tex] - Leg 1

[tex]S_2 = 4800[/tex] - Leg 2

Step-by-step explanation:

Represent the dimensions as:

[tex]H = Hypotenuse[/tex]

[tex]Other\ Legs = \{S_1,S_2\}[/tex]

So, we have:

[tex]S_1 = 2000[/tex]

[tex]H = 400 + S_2[/tex]

Required

Determine the dimensions

Apply Pythagoras theorem

[tex]H^2 = S_1^2 + S_2^2[/tex]

This gives:

[tex](400 + S_2)^2 = 2000^2 + S_2^2[/tex]

Open bracket

[tex]160000 + 800S_2 + S_2^2 = 4000000 + S_2^2[/tex]

[tex]160000 + 800S_2 = 4000000[/tex]

Collect Like Terms

[tex]800S_2 = 4000000 - 160000[/tex]

[tex]800S_2 = 3840000[/tex]

Solve for S2

[tex]S_2 = \frac{3840000}{800}[/tex]

[tex]S_2 = 4800[/tex]

Recall that:

[tex]H = 400 + S_2[/tex]

[tex]H = 400 + 4800[/tex]

[tex]H = 5200[/tex]

Hence, the dimensions are:

[tex]H = 5200[/tex]

[tex]S_1 = 2000[/tex]

[tex]S_2 = 4800[/tex]

Evaluate function expressions 4 x f(6) - 6 x g(5) =

Answers

9514 1404 393

Answer:

  24

Step-by-step explanation:

Find the parts of the expression from the graph, and evaluate the expression.

  f(6) = -6

  g(5) = -5

Then we have ...

  f(6) -6·g(5) = (-6) -6(-5) = -6 +30 = 24


I don’t know how to do this.

Answers

Answer:

[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]

Step-by-step explanation:

[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]

[tex]a_{1} = \frac{1}{(1 +1)^{2}} = \frac{1}{2^{2}} = \frac{1}{4}\\\\a_{2} = \frac{2}{(1 +2)^{2}} = \frac{2}{3^{2}} = \frac{2}{9}\\\\a_{3} = \frac{3}{(1 +3)^{2}} = \frac{3}{4^{2}} = \frac{3}{16}\\[/tex]

The number of leaves that fall off a tree n days after day 1 is given by the function f (n) = 3(2)".
What does the value 3 mean in this function

Answers

Answer:

the amount of leaves that fall of the tree in one day

Step-by-step explanation:

n is the amount of days

f is the amount of leaves that fall in a day

Question and answer choices are attached. Please pick the right answer and explain/show work if possible. Thanks!

Answers

Answer:

Choice c. [tex]\sqrt{12}[/tex]

Step-by-step explanation:

Vectors

Suppose we have a vector v defined as

[tex]\vec v=a\mathvf{i}+b\mathvf{j}[/tex]

The magnitude of the vector is:

[tex]\mid\mid\vec v\mid\mid=\sqrt{a^2+b^2}[/tex]

On the other hand, the dot product of the vector by itself is:

[tex]\vec v\cdot\vec v=a*a+b*b=a^2+b^2[/tex]

Note the relation between these two operations is:

[tex]\mid\mid\vec v\mid\mid=\sqrt{\vec v\cdot\vec v}[/tex]

Since we are given:

[tex]\vec v\cdot\vec v=12[/tex], then:

[tex]\mid\mid\vec v\mid\mid=\sqrt{12}[/tex]

Choice c) [tex]\sqrt{12}[/tex]

The Question is above.

Answers

Step-by-step explanation:

given

g(r)= -1 -7r

g ( 6) = - 1 - 7 * 6

= - 1 - 42

= - 43

Yes he is correct I

Erik works 55 hours a week making $12.50 hour? His employer pays time and a half for hours over 40. Find his gross pay.

Answers

Answer:

781.25

Step-by-step explanation:

Regular pay = 40*12.50 = 500.00

Overtime = 15*12.5*1.5 = 281.25

Gross pay = 500.00 + 281.25 = 781.25

I need to find the equation of the graphed line. ​

Answers

Answer:

y=-x-7

Step-by-step explanation:

So the line goes down one unit for every unit it goes to the left.

Slope is rise over run which would be -1/1 (simplify to -1)

The line crosses the y axis at -7

So to put it in slope-intercept form (y=mx+b) it would be y=-1x-7

You don't have to include the one in -1x because its the same as saying -x

Answer: 20-w33

Step-by-step explanation:

So easy yaar! SO. EASY!

Just find the slope by connecting the megapixel by the hardrive!

Then calculate the cheese fromage from the stroop waffle, simply add the chemistry hypothecary theory, and your're set!

Don't forget to comma the C's and capitalize the G's!

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!
Elena gets a base pay of $1,500 per month. She also earns a commission of 8% of the total sales dollars that she makes. What are Elena’s earnings for a month in which she has sales of $32,000?

Answers

Answer:

You have to divide the total sales by 8 percent. 32,000/ 0.8 =40,000

So your answer is 40,000.

Step-by-step explanation:

Answer:

4060

Step-by-step explanation:

8/100(32000)+1500=4060

What is the approximate circumference of a circle that has a radius of 10 centimeters? (Use 3.14 for ). C=__ cm​

Answers

Answer:

C = 62.8 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Circumference Formula: C = 2πr

Step-by-step explanation:

Step 1: Define

r = 10 cm

Step 2: Find C

Substitute [CF]:                    C = 2π(10 cm)Multiply:                                C = 20π cmMultiply:                                C = 62.8 cm

Answer:

62.8

Step-by-step explanation:

Radius is 10, so the diameter is 20 (10x2)

20 x 3.14(pi)= 62.8

What type of exponential function is f(x)=0.6(2.4)^x?
What is the function's percent rate of change?
Select from the drop-down menus to correctly complete each statement.

The function is an exponential CHOOSE function.
The percent rate of change of the function is CHOOSE%.

Answers

Answer:

growth

140%

Step-by-step explanation:

The function f(x) is an exponential growth function as f(x) increases when x increases.

The percent rate of change of the function f(x) is 201.6%.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 0.6 [tex](2.4)^x[/tex]

For x = 1,

f(1) = 0.6 x 2.4 = 1.44

For x = 2,

f(2) = 0.6 x 2.4² = 0.6 x 5.76 = 3.456

For x = 3,

f(3) = 0.6 x 2.4³ = 0.6 x 18.824 = 8.2944

We see that,

As the value of x increases, the value of f(x) increases.

f(x) is an exponential growth function.


Now,

The percentage rate of change of function f(x).

= (f(2) - f(1)) / (2 - 1) x 100

= (3.456 - 1.44) x 100

= 2.016 x 100

= 201.6 %

Thus,

f(x) is an exponential growth function.

f(x) percent rate of change is 201.6%

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Helppp this is timed!!

Answers

Answer:

The answer must be D

Step-by-step explanation:

When a shape like a trapezoid is rotated, the figure will remain the same which means that a rotation will not change the measure of the angles, or the measure of the sides, therefore d must be correct because a rotation is a rigid transformation.

Calculate the value of this expression by writing the decimal factors as fractions, then writing their product as a decimal. Show your reasoning. (0.01)⋅(0.02) this is 6th grade math

Answers

Answer:

0.0002

Step-by-step explanation:

Answer:

0.0002

Step-by-step explanation:

Hi everyone! I have a question!
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations.) THANKS!!!!!!

Answers

Answer:

Step-by-step explanation:

SO first find the area of the whole circle

which has a radius of 3

a=πr^2

So 3^2=9

Now the two circles which are the same in area due to having the same radius

so if you plug in the 1 for radius the answer would just be π or 1π

now multiply that by 2 becuase there are 2 identical circles

π*2=2π

Now subtract

9π-2π=7π

Answer:

Step-by-step explanation:

area of unshaded circle:

A=π*r^2=π*1=π

we have 2 circles so the area of both circles are 2π

area of the large circle is A(l)=Π*3^2=Π*9=9Π

area of the shaded region: A(s)=9Π-2Π=7Π

Which expression is equivalent to 3x + 6

Answers

Answer:

3x + 6 is equal to x + 2

Step-by-step explanation:

Answer: 3( x + 2)

Step-by-step explanation:

6

3x+6

3(x+2)

Use the Commutative Property to write an expression equivalent to –5d + 12.

Answers

Step-by-step explanation:

[tex]\huge\bold\purple{ equivalent\: of \: -10d+24 }[/tex]

Answer:

767657

Step-by-step explanation:

200-3.5 x 2.8 what is the product?

Answers

Answer:

190.2

Explanation:

3.5x2.8=9.8

200-9.8=190.2

Answer:

how do you find the product of 3.5 x 2.8

Step-by-step explanation:

explain how you got it.

If f(x) = 3x – 7 and g(x) = x2 – 5x + 5, then f(x) = g(x) for
what values of x?
a. x = 3 and x = 4
b. X = 6 and x = 2
c. x = -6 and x = -2
d. x = -3 and x = -4

Answers

Answer:

b

Step-by-step explanation:

3x - 7 = x² - 5x + 5

x² - 5x + 5 - 3x + 7 = 0

x² - 8x + 12 = 0

(x-6)(x-2)=0

x = 6

x = 2

Qualitative" variables are measured on either ordinal or nominal scales

Answers

Answer:

I don't get it. Is that the full question?

Tell if it’s linear or not, plz help it has a timer :(

Answers

Answer:

Only B is linear

Step-by-step explanation:

Find the values of x and y 155 13x 5y

Answers

Answer:

6

Step-by-step explanation:

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