What is the length of NP?

What Is The Length Of NP?

Answers

Answer 1

Answer:

[tex]c=\sqrt{174}[/tex]

Step-by-step explanation:

First, find the length of MP. This can be done with the Pythagorean Theorem.

We can use x as angle MP.

a² + b² = c²

10²+ 7² = x²

100 + 49 = x²

x² = 149

Take the square root to get

x = √(149)

Now do the Pythagorean Theorem for Triangle MNP. We can again use x for angle NP.

a² + b² = c²

5² + √(149)² = c²

25 + 149 = c²

c² = 174

c = √(174)


Related Questions

A cable 27 feet long runs from the top of a utility pole to a point on the ground 16 feet from the base of the pole. How tall is the utility pole?

Answers

Answer:

15^2+x^2=22^2

225+x^2=484

x^2=259

x=16.09 feet

Step-by-step explanation: 15^2+x^2=22^2

225+x^2=484

x^2=259

x=16.09 feet

How do the absolute values of - 12.5 and 11.5 compare? Choose a symbol to make the statement true.

Answers

Answer:

Step-by-step explanation:

11.5 is greater than -12.5

Answer: -12.5 is greater

-

Step-by-step explanation:

Mai is playing a game of chance in which she rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random. This game is this: Mai rolls the number cube once. She wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. She loses $0.50 if a 4, 5, or 6 is rolled.
a) Find the expected value of playing the game.
b) What can Elsa expect in the long run, after playing the game many times?
1) Elsa can expect to gain money. She can expect to win___dollars per roll.
2) Elsa can expect to lose money She can expect to lose___dollars per roll.
3) Elsa can expect to break even (neither gain nor lose money).

Answers

Answer:

A. 0.75

B. Elsa can expect to gain 0.75 dollars

Step-by-step explanation:

We have six outcomes

Using the table in the attachment, the expected value was calculated.

Expected value = 0.166667+0.3333+0.5-0.083333-0.083333-0.083333

= 0.75

B. From the answer in part A , we can conclude that Elsa can expect to gain money. She can expect to win 0.75 dollars per roll.

What combination of translation is shown below?

Answers

reflection, then translation

og ready.com/student/dashboard/home
A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle mo
each time the wheel goes around? (Use as an approximation for 7.)
88 inches
64 inches
44 inches
56 inches

Answers

Answer:

88 in

Step-by-step explanation:

we have to find the circumference of the circle which is ;

C = pie d

= 22/7 x 28

= 88 in

The kinetics of some phase transformations obey the Avrami relationship. Using the fraction transformed-time data given below, determine the total time required for the transformation to go to 92% completion. Fraction transformed Time (s) 0.2 12.6 0.7 25.7 Enter your answer in accordance to the question statement s

Answers

Solution :

Avrami relationship

[tex]$1-y=exp(-kt^n)$[/tex]

[tex]$\ln(1-y)=-kt^n$[/tex]

[tex]$-\ln(1-y)=kt^n$[/tex]

[tex]$\ln\left[\ln\left(\frac{1}{1-y}\right)\right]=\ln k + n \ln t$[/tex]

The fraction transformed is 0.2 at 12.6 s,

[tex]$\ln\left[\ln\left(\frac{1}{1-0.2}\right)\right]=\ln k + n \ln (12.6)$[/tex]

[tex]$-1.5 = \ln k + 2.533 n$[/tex]  .........(i)

The fraction transformed is 0.7 at 25.7 s,

[tex]$\ln\left[\ln\left(\frac{1}{1-0.7}\right)\right]=\ln k + n \ln (25.7)$[/tex]

[tex]$0.5 = \ln k + 3.24 n$[/tex]   ..............(ii)

Subtract (ii) from (i),

-2 = -0.71 n

n = 2.81

Therefore, from (i),

[tex]$-1.5 = \ln k + 2.533 (2.81)$[/tex]

k = 0.000181

Now if the fraction transformed is 0.92, then

[tex]$kt^n=-\ln (1-y)$[/tex]

[tex]$t=\left[\frac{-\ln (1-y)}{k}\right]^{\frac{1}{n}}$[/tex]

[tex]$t=\left[\frac{-\ln (1-0.92)}{0.000181}\right]^{\frac{1}{2.81}}$[/tex]

t = 29.8528 s

D
Find mZW.
X
WK (11x - 29)
Z
(6x + 5)
mZW

Answers

Answer:

m<W = 103°

Step-by-step explanation:

First, find the value of x

m<W + m<Y = 180° (opposite angles in a cyclic quadrilateral are supplementary)

11x - 29 + 6x + 5 = 180 (substitution)

Add like terms

17x - 24 = 180

Add 24 to both sides

17x = 180 + 24

17x = 204

Divide both sides by 17

17x/17 = 204/17

x = 12

Find m<W:

m<W = 11x - 29

Plug in the value of x

m<W = 11(12) - 29 = 132 - 29

m<W = 103°

Use the square root property to solve for x in the following equation (x-3)^2-10=15

Answers

If you were to solve for x by using the square root property, your ANSWER would be x=8,-2

(x – 3)² – 10 = 15

[tex] {x}^{2} - 6x + 9 - 10 = 15[/tex]

[tex] {x}^{2} - 6x - 1 = 15[/tex]

[tex] {x}^{2} - 6x - 15 = 0[/tex]

[tex] {x}^{2} + 2x - 8x - 1 - 15 = 0[/tex]

[tex] {x}^{2} + 2x - 8x - 16 = 0[/tex]

[tex]x \times (x + 2) - 8x - 16 = 0[/tex]

[tex]x \times (x + 2) - 8(x + 2) = 0[/tex]

[tex](x + 2) \times (x - 8) = 0[/tex]

[tex]x + 2 = 0[/tex]

[tex]x - 8 = 0[/tex]

so,

[tex]x1 = - 2[/tex]

[tex]x2 = 8[/tex]

What is the common ratio of the geometric sequence 4, 16, 64, 256? * please help

Answers

Answer:

4

Step-by-step explanation: 16/4=4

How to put -2(-6x+3y-1) in distributive property

Answers

Answer:

12x - 6y + 2

Step-by-step explanation:

Plz help me well mark brainliest if correct!!.....

Answers

12 and 13 have the same amount of students. so B or C will work. please mark brainliest

Corrie is 5 inches taller than Jason who is 4 ft. 9 in. Jennifer is
8 in shorter than Corrie. How tall are Corrie and Jennifer?
(Express answers in simplest terms.)
Corrie_______.
Jennifer_______.​

Answers

Answer:

Corrie = 5 ft.  2 in.

Jennifer = 4 ft.  6 in.

Step-by-step explanation:

If you convert Jason's height to inches then it would be 57 in.

4 x 12 = 48 in.     48 + 9 = 57 in.

To find Corrie's height you just have to add 5 inches to Jason's height.

57 + 5 = 62 in.

And to find Jennifer's height you just subtract 8 inches from Corrie's height.

62 - 8 =  54 in.

Now all you need to do is convert Corrie and Jennifer's height into feet. You have to divide Corrie and Jennifer's height by 12 inches. And if there are leftover or remaining numbers once you divide, they are just inches that you add on after the feet.

Jennifer's height =  54 / 12 = 4 feet and 6 inches are left over.

Corrie's height = 62 / 12 = 5 feet and 2 inches are left over.

What side has the same length as BC?

Answers

Answer:

DE

Step-by-step explanation:

You can tell by the markings. Since there are two vertical markings it concludes that those sides are the same length.

can you help me with this one

Answers

Answer:

q = 3m

Step-by-step explanation:

We know that segment HF is half of IJ, therefore we can say;

IJ / 2 = HF or q

6 / 2 = HF or q

3 = HF or q

Hope this helps!

The square below has area 100. Find the area of the shaded region.

Answers

Answer:

21.46

Step-by-step explanation:

Start with the square

[tex]A = a^{2} \\100 = a^{2}\\10 = a[/tex]

Each side of the square is 10

This also means the diameter of the circle is 10, with a radius of 5

[tex]A = \pi r^{2} \\A = \pi 5^{2} \\A = 78.54[/tex]

Now substract the area of the circle from the square

x = 100 - 78.54

68 - 4 × (6 - 4)4

pls help the answer questions are
16 80 4 or -2

Answers

The answer and the steps are on the picture

The Briarwood Middle School Chess club has 75 members. Of those members, 15 are 7th graders. What percent of the chess club members are not 7th graders?

(Proportional Reasoning)....

I would really appreciate, if you answered.

Answers

Answer:80

Step-by-step explanation: I am not 100% sure this is right but what i did was 75 - 15 =60, 60/75 in percentage is 80%

Hi plz help, if you can ill mark you 5 starz! :)

Answers

Answer:

The answers are B, D, and E

Step-by-step explanation:

Answer:

I think B, D, E! Sorry if it's wrong!

Step-by-step explanation:

Only ones that fits the plot!

the question below in the file, which shows the number in order from greatest to least?

Answers

Answer:

c

Step-by-step explanation:

a and b start with negative numbers meaning it couldnt be the greatest, then d shoes a negative number second so that cant be it

Please help finals killing me

Answers

Answer:

Solution given:

1.

L.h.s.

cscx+cotx

[tex] \frac{1}{cosx}+\frac{cosx}{sinx}[/tex]

[tex]\frac{1+cosx}{sinx}[/tex]

multiplying and dividing by (1-cosx)

[tex]\frac{(1+cosx)(1-cosx)}{sinx(1-cosx)}[/tex]

[tex]\frac{1-cos²x}{sinx(1-cosx)}[/tex]

we have

1-cos²x=sin²x

[tex]\frac{sin²x}{sinx(1-cosx)}[/tex]

[tex]\frac{sinx}{1-cosx}[/tex]

=R.h.s.

proved.

2.

l.h.s

[tex]\frac{tan y}{1-cot y}+\frac{cot y}{1-tany}[/tex]

[tex]\frac{\frac{sin y}{cos y}}{1-\frac{cos x}{siny}}+\frac{\frac{cos y}{sin y}}{1-\frac{siny}{cos y}}[/tex]

[tex]\frac{\frac{sin y}{cos y}}{\frac{siny -cos y}{siny}}+\frac{\frac{cos y}{sin y}}{\frac{cos y-siny}{cos y}}[/tex]

[tex]\frac{sin²y}{cos y(siny-cosy)}+\frac{cos ² y}{sin y(cos y-siny)}[/tex]

[tex]\frac{sin²y}{cos y(siny-cosy)}- \frac{cos ² y}{sin y(-cos y+siny)}[/tex]

[tex] \frac{sin³y -cos³y}{sinycosy(siny -cosy)}[/tex]

[tex] \frac{(sin y- cos y)(sin²y+sinycosy+cos²y)}{sinycosy(siny -cosy)}[/tex]

[tex] \frac{sin²y+cos²y +siny cosy}{sinxcosy}[/tex]

[tex] \frac{1+sinxcosy}{sinycosy}[/tex]

[tex]\frac{1}{sinycosy}+1[/tex]

1+cscysecy

R.h.s.

proved.

PLEASEEEEEE HELPPPP IM BEGGING ISOMEONE PLEASEEEE​

Answers

Answer:

Reason : by ASA , x = 36

Step-by-step explanation:

∠ABC = ∠EBD      (vertically opposite angle)

BC = BD = 54        (same length)

∠BAC = ∠BDE       (alternate interior angles)

By ASA , ΔABC ≅ ΔDBE

[tex]54 \times x = 36 \times 54\\\\x = 36[/tex]

Therefore AB:BD = CB:BE
AB/BD= CB/BE
36/54=54/BE
36BE= 54 x 54
BE= 54 x 54 / 36
BE = 81

Regards,
Armycee:)

Which of the following elements represents part of the whole? a. percentage b. base c. rate d. both a and b

Answers

Answer:

Percentage

Step-by-step explanation:

Find the first term and the common ratio of the following geometric
sequence: 8, 16, 32, ...
a = 8, r = 2
a = 8, r = 8
a = 8, r = 4
a = 32, r= 1

Answers

Step-by-step explanation:

hope it helps you see the attachment for further information

Help!!!!!!!!!!!!!!!!!

Answers

Answer:

the answer is one hundred and eight 108

Step-by-step explanation:

108 bro trust me

Solve 7/w+4 =5/w+4-6/w

Answers

Answer:

w=-1+[tex]\sqrt{2}[/tex], w=-1-[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Sarah had 6 candy canes. She wanted to give each of her friends 1/3
of a candy cane. How many friends would receive a piece of candy?​

Answers

18 friends

Explanation:
I saw many questions like this. Just use division:
6 ÷ 1/3 = 18

Trust me, this is easy math

A brainliest would be nice, just talk to me back if my answer is correct!
-SpaceMarsh

Evaluate this expression
4cd

if

C = -4 and d = 3

Answers

Answer:

-48

Step-by-step explanation:

4(-4)(3)

-16(3)

-48

Answer:

4(-4) (3)

Step-by-step explanation:

put that in your calccalculator:)

a. Find the slope of the line going through the points (-7, 7) and (3.-5).​

Answers

Answer:

-1.2

Step-by-step explanation:

2.75 Cards are dealt, one at a time, from a standard 52-card deck. a If the first 2 cards are both spades, what is the probability that the next 3 cards are also spades

Answers

Answer:

The answer is "0.00842".

Step-by-step explanation:

Due to these cards, a conventional 52-card set is dealt one at a time.

While the first two cards are spades, then it would be expected that we could find the next three cards tents, too.

Let A draw 2 spade cards out of 52 cards. Let B become the occasion to draw 3 spade cards the remaining 50 end cards [tex](A \cap B)[/tex] was its case where a 52 card spade is chosen [tex](2+3)=5[/tex].

The number of plots drawn first from 13 regular 52-cerd decks equals number of,[tex]n(A)=\binom{13}{2}[/tex]  probability of event [tex]A, PA =\frac{\binom{13}{2}}{\binom{52}{2}}[/tex]

Furthermore, the multitude of possibilities we can pull from of the remaining 11 spades of the previous 3 cards is 50-card decks standard, [tex]n (B) = \binom{11}{3}[/tex]  then, the probability of event, [tex]B, P(B)=\frac{\binom{11}{3}}{\binom{50}{3}}[/tex]

The chances of five cards being drawn (three spades and two spades),

[tex]P(B \cap A)=\frac{\binom{13}{5}}{\binom{52}{5}}[/tex]

Then there is the chance that the next three cards will be picked if the first two are both pads, [tex]P(\frac{B}{A})[/tex]

[tex]\to P(\frac{B}{A}) \\\\ =\frac{P(B\cap A )}{P(A)}\\\\=\frac{\frac{\frac{13}{5}}{\frac{52}{2}}}{\frac{\frac{13}{2}}{\frac{52}{2}}}\\\\= 0.00842[/tex]

A population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. If the population increases by the same percentage between 2011 and 2012, what will the population be in 2012

Answers

Answer: 1,599,960

Step-by-step explanation:

Since the population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. The percentage increase in population will be:

= (1.2 million - 900000) / 900000 × 100

= 300000/900000 × 100

= 33.33%

Since the population increases by the same percentage between 2011 and 2012, then the population in 2012 will be:

= (100% + 33.33%) × 1.2 million

= 133.33% × 1.2 million

= 1.3333 × 1.2 million

= 1,599,960

The population in 2012 is 1,599,960

Other Questions
assuming the growth rate stays constant at 1.2%, how many doublings would take place in a 500- year period? Compare using >, Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000 x for x television spots.Required:Write down the cost function C, marginal cost function C, and average cost function Solve for the missing side to the tenths place ( ignore the letters labeled on the triangle, they are labeling the angles not the sides) c= List the next three numbers for the sequence:34, 102, 408, 2040, ... Identify reproductive organs. The increasing trend of sexual assault and violence strongly influences the growth of the number of nurses involved in both forensic and nursing, called forensic nurses. PLZZZZZZZZZZZZZ HELPPPPPPPPP what is (6)^-3(6)^-3 using law of exponent? Question 2 (1 point)If y varies directly as x and y = 3 when x = 12, what is the value of y when x = 18? MARKING BRAINLIEST IF RIGHT !1.) Which of the following sentences uses a simile?A.) The mountain is like a giant standing up in front of us.B.) Her hands are as soft as cotton.C.) Like a raging bull, she stormed through the house looking for her lost keys.D.) All of the choices are correct. 2. Suppose over several years of offering AP Statistics, a high school finds that final exam scores are normally distributed with a mean of 78 and a standard deviation of 6. A. What are the mean, standard deviation, and shape of the distribution of x-bar for n Differences between private and public company Which class of point mutation produces a product with the same amino acid sequence as the wild-type polypeptide? How do scientists think Prokaryotic Cells contributed to changing Earths atmosphere to include more oxygen? The management of Unter Corporation, an architectural design firm, is considering an investment with the following cash flows:Year Investment Cash Inflow1 15000 10002 8000 20003 25004 40005 50006 60007 50008 40009 300010 2000Determine the payback period of the investment. (Round up your answer to the next whole number.) A line is the locus of points that: Which shows 2-6 /////////////////////////////////////////////////////// traditional healers should be allowed to practice medicine in hospital and clinics how gender based violence has displayed its self in your community (2019-2021)