In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th.

In XYZ, Y=90 And X=73. ZWY=80 And XW=80. Find The Length Of ZY To The Nearest 100th.

Answers

Answer 1

Answer:

Solution given:

Y=90°

∠X=73°.

∠ZWY=80°

and XW=80.

ZY=?

We know that

In right angled triangle ∆ XYZ

Tan 73=[tex] \frac{p}{h} [/tex]

3.27=[tex] \frac{yz}{xy} [/tex]

3.27×[xy]=yz

xw+wy=[tex] \frac{yz}{3.27} [/tex]

wy=[tex] \frac{yz}{3.27} [/tex]-80...........(1)

again

In right angled triangle WYZ

Tan 80=[tex] \frac{yz}{wy} [/tex]

5.67×wy=yz

wy=[tex] \frac{yz}{5.67} [/tex]

yz=5.67×wy............................................(2)

Equating equation 1&2

[tex] \frac{yz}{5.67} [/tex]=[tex] \frac{yz}{3.27} [/tex]-80

[tex] \frac{yz}{3.27} [/tex]-[tex] \frac{yz}{5.67} [/tex]=80

5.67yz-3.27yz=80*5.67*3.27

2.4yz =1483.272

yz=[tex] \frac{1483.272}{2.4} [/tex]

yz=618.03

:.y=618.03unit.the length of ZY to the nearest 100th is 618.


Related Questions

Will Identify the outlier in the data set. 77, 73, 78, 78, 71, 75, 120, 75, 77, 72, 75, 70 The outlier is​

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Answer:

120

Step-by-step explanation:

120

every other number is in the 70s

Can you please help me solve this problem using the Pythagorean theorem I’m so lost!!! (I Will give a brainliest if you help)

Answers

the answer here is 3.

basically for the pythagorean theorem you use the formula a^2 + b^2 = c^2

it works for right triangles, with a and being being sides of the triangles and c being the hypotenuse

therefore for this specific example, you plug in the side 4 and the hypotenuse 5:

a^2 + 4^2 = 5^2

a^2 + 16 = 25

a^2 = 9

a = 3

Find the solution to the system of equations:
y - 4x = 8
y = 2 (2x +2)

Show work for brainliest

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Since 0x is not a real number, there is no solution to this system of equation

For which equation is a = 4 not the solution?

9 a = 36
5 a = 54
8 a = 32

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The correct answer is 5a = 54

Answer:

nAnI

Step-by-step explanation:

82.6% into lowest form

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Answer:

0.825

Step-by-step explanation:

To convert to lowest form, you have to shift the decimal place 2 places to the left.

How many gallons of water does the shower
stream in 6 minuets (need lots of help lol) thanks ❤️❤️

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Answer: The answer is 15 gallons. Hope this helped!

Step-by-step explanation:

What are the dimensions of this matrix?

2 x 1


2 x 2


1 x 1


1 x 2

Answers

Answer:

el primero es 2

el segundo es 4

el trersero es 1

y la última es 2

si multiplicas 2 x 1 y los otros el resultado sería

9

2 5/8 - 6 1/4 + 8 1/2

Answers

Answer:

2 5/8 - 6 1/4 + 8 1/2\

= 227 /8

Step-by-step explanation:

hope this helps :)

Solve the following system of equations x-2y=14
X+3y=9

Answers

9514 1404 393

Answer:

  (x, y) = (12, -1)

Step-by-step explanation:

I find the simplest solution is often found using a graphing calculator.

  (x, y) = (12, -1)

__

We notice that the coefficients of x are identical, so we can eliminate x by subtracting the first equation from the second.

  (x +3y) -(x -2y) = (9) -(14)

  5y = -5 . . . . simplify

  y = -1 . . . . . divide by 5

  x = 14 +2y = 14 +2(-1) . . . . using the first equation to find x

  x = 12

Test the hypothesis that the average content of containers of a particular lubricant is 15 liters if the contents of a random sample of 15 containers are 10.2, 9.7, 10.1, 10.3, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, 10.5,11.2,11.3 and 9.8 liters. Use a 0.01 level of significance and assume that the distribution of contents is normal.
Also find 95% confidence interval for the population mean. Interpret your results

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given The samples:

X = 10.2, 9.7, 10.1, 10.3, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, 10.5,11.2,11.3, 9.8

Using a calculator ;

Sample mean, xbar = 10.27

Sample standard deviation, s = 0.462

H0 : μ = 15

H1 : μ < 15

The test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(10.27 - 15) / (0.462/sqrt(15))

-4.73 / 0.1192878

= - 39.65

Using the Pvalue form Tscore, calculator, df = 14

Pvalue = 0.000001,

Since, Pvalue < α ; then we reject the Null

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/√n

TCritical at 95%, df = 14

Margin of Error = 2.145 * 0.462/sqrt(15) = 0.2559

Lower boundary :

10.27 - 0.2559 = 10.0141

Upper boundary :

10.27 + 0.2559 = 10.5259

(10.0141 ; 10.5259)

The true population means should reside within the interval

PLEASE HELP ITS OVER DUE AND I NEED HELP PLEASE ILL GIVE BRAINLIEST TO CORRECT ANSWER. PLSSS ILL GIVE ALL MY POINTS IM DESPERATE ​

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Answer:

i need to see all the answers but yeah

Step-by-step explanation:

Madison has 3 quarts of juice she gave each of her friends 2 1/2 cups of juice how many cups does Madison have left​

Answers

Answer:

0

Step-by-step explanation:

It is zero because Madison friends were not specified(number)

Please help me and use laws of exponents​

Answers

Answer:

5^2x ÷ 5^-3 = 5⁵(5×5×5×5×5)

5^2x ÷ 1/5³(5×5×5) = 3125

5^2x ÷ 1/125 = 3125

5^2 × 4 = 3125

125

5⁸(5×5×5×5×5×5×5×5) = 3125

125

390625 = 3125

125

so the value X is = 4

The sum of the digits of 1 874 (1 + 8 + 7 + 4) is equal to 20. How many natural numbers smaller than 10 000 have a sum of their digits equal to 34?
A. 8
B. 9
C. 12
D. 10
E. 11
ANSWER FAST AND NO FILES

Answers

The total of numbers smaller than 10,000 that have a sum of their digits equal to 34 is 8.

What numbers have a total sum of their digits equal to 34?

Firstly, it is important to understand a number of at least 4 digits is required to have 34 by adding its digits. Now, from this principle find the possible numbers:

9997 = 349979= 349799 = 347999= 349988= 349898 = 348899 = 348989 = 34

What is the total of numbers to get this result?

The total numbers is 8.

Learn more about numbers in: https://brainly.com/question/17429689

the answer with an explanation please

Answers

Answer:

5C

6C

7D

8B

Step-by-step explanation:

5) C because median is the middle of the set of numbers source A median is 4 source B median is 6 and 4 is 2 less than 6.

6) C  because there are  6 numbers altogether and 1 6s on a dice so 6+6 because we have two dice and 2 6s on both so 2/12 or simplified 1/6

7) D because mean is all the numbers add up divided by the amount of numbers so 20+25+30+20+30 = 125 and 125 ÷ 5 = 25

8 B because mean is all the numbers add up divided by the amount of numbers so

5+6+7+8+8+8+8+8+8+9+9 = 76 ÷ by 10 is 7.6

7+7+7+7+8+8+8+8+10+10 = 80 ÷ by 10 = 8

8 + 7.6 = 15.6 ÷ 2 = 7.8 and B is closest to 7.8

How long will it take $3000 to earn $900 interest at 6% simple interest?

Answers

Answer:

5 years.

Step-by-step explanation:

3000x.06=180 interest per year.

900/180 =5 years.

If 2(x+1)+8(x-1)=5x then x=

Answers

Answer:

x= 1.2  or  6/5

Step-by-step explanation:

Answer:

6/5 or 1.2 or 1 1/5

Step-by-step explanation:

but 6/5 is the exact answer

Please need help will give brainliest

Answers

H(6) =.

The number in parentheses is the x value it will be equal to the y value.

When x = 6 the blue line is at y = 8

H(6) = 8

HELPPP
Suppose that you head an insurance company. Your most popular insurance policy has a premium of $600 and a deductible of $1,000. This insurance policy provides your state’s minimum coverage of $30,000 for injury or death to one person, $50,000 for injury or death to two or more people, and $10,000 for damage to property, which is called 30/50/10 coverage.

Assume that, on average, 2 of your 100 customers have an accident every year. One of the accidents causes damage to property and the other causes injury or death to one person. Both drivers file for the maximum claims. After paying the claims, will your company still profit from the premiums collected in a year? Explain your answer

Answers

Answer:

Yes they will profit $22,000

Step-by-step explanation:

First find total money:

100 customers * $600 premium

= $60,000

add deductibles ($1000) because they are paying for the accident:

=$62,000

Then find the subtractions:

"One of the accidents causes damage to property and the other causes injury or death to one person."

based on the 30/40/10 coverage:

-$30,000 for injury or death to One person

-$10,000 for property damage

62,000 - 40,000 = 22,000

Overall profit : $22,000

I think I did that right...

The company will earn the profit of $22,000.

Profit= $22,000.

What is insurance deductible ?

The amount you pay for covered health care services before your insurance plan starts to pay.

It is given that:

Most popular premium= $600

According to question there is estimation of 100 person

Total money = 100 customers * $600 premium

                    = $60,000

The deductible amount is $1000 because they are paying for the accident.

So, the deductible amount is= $2000

Total deductible amount =$62,000

As one of the accidents causes damage to property and the other causes injury or death to one person.

So, based on 30/40/10 coverage there will be:

-$30,000 for injury or death to One person-$10,000 for property damage

So, the profit will be: 62,000 - 40,000

                                 = $22,000

Overall profit : $22,000

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Write and solve the equation that represents the sentence below. The product of 18 and a number is 109.8. Which statements are correct? Check all that apply. It can be solved by using the division property of equality. It can be solved by using the multiplication property of equality. The equation should be StartFraction x Over 18 EndFraction = 109.8. The equation should be 18 x = 109.8. The answer is 6.1. The answer is 1,976.4.

Answers

Answer:

the answer is a, d, e

Step-by-step explanation:

the product of 18 and a number is 109.8=

18n=109.8

to find n, you need to divided by 109.8 by 18. You will get 6.1

To check, replace c with 6.1.

18x6.1=109.8

Answer:

ade

Step-by-step explanation:

Match the base to the corresponding height.

Answers

Answer:

See picture

Step-by-step explanation:

The graph of f(x) = 3x2 – 5x – 22 passes through the point (0, –22) and one of its zeros is (–2, 0). What is the other zero of the function?

Answers

Step-by-step explanation:

this is your answer....

The other zero of the given function is [tex](\frac{11}{3}, 0)[/tex] .

How to find the x-intercept of a quadratic function ?

Let us assume f(x) [tex]=ax^{2} +bx+c[/tex], then to find the x-intercepts of this quadratic equation, let y = 0, i.e. [tex]ax^{2} +bx+c=0[/tex]

How to find zeros of the given function ?

Given, f(x)= [tex]3x^{2} -5x-22[/tex], whose one zero is (-2,0)

Now, to find the x-intercepts of the given quadratic equation, we have to take y = 0.

∴ [tex]3x^{2} -5x-22=0[/tex]

Now we have to solve this equation to find it's another zero.

[tex]3x^{2} -5x-22=0[/tex]

⇒ [tex]3x^{2} -(11-6)x-22=0[/tex]

⇒ [tex]3x^{2} -11x+6x-22=0[/tex]

⇒ [tex]x(3x-11)+2(3x-11)=0[/tex]

⇒ [tex](3x-11)(x+2)=0[/tex]

We know that, if multiplication of two terms is zero, then each of this term is seperately zero.

∴ [tex]3x-11=0[/tex]   or [tex]x+2=0[/tex]

⇒ [tex]3x=11[/tex]    or [tex]x=-2[/tex]

⇒ [tex]x=\frac{11}{3}[/tex]  or [tex]x=-2[/tex]

So, another zero of the function is [tex](\frac{11}{3}, 0)[/tex].

Learn more about zeros of a quadratic equation here :

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Complete the assignment on a separate sheet of paper

Please attach pictures of your work.

Answers

Answer:

Value of x =  15.1 unit (Approx.)

Step-by-step explanation:

Given:

For angle 54°

Base of triangle = 11 unit

Perpendicular of triangle = x unit

Find:

Value of x

Computation:

Using trigonometry function;

Tanθ = Perpendicular / Base

Tan 54 = Perpendicular of triangle / Base of triangle

Tan 54 = x / 11

1.376 = x / 11

Value of x = 1.376 × 11

Value of x = 15.136

Value of x =  15.1 unit (Approx.)

A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. the manager of the Publix in Clemson believes 64% is too low for his own store, to investigate whether this result applies to its own store, SC asked a random sample of 100 shoppers whether they believed that supermarket brands were as good as the national brands, 52 believe the supermarket brands were as good as the national brands.

Required:
At the 10% significance level test the managers claim.

Answers

Answer:

The calculated value  |Z| = |-2.5| >2.326 at 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

The manager of  Publix in Clemson believes 64% is too high for his own store

Step-by-step explanation:

Step:-1

Given that the consumer Reports showed that 64% of supermarket shoppers.

Given that the population proportion

                                 P = 0.64

Given that random sample size 'n' = 100

Given that 52 believe the supermarket brands were as good as the national brands.

sample proportion

                          [tex]p^{-} = \frac{x}{n} = \frac{52}{100} = 0.52[/tex]

Step:-2

Null hypothesis: The manager of the Publix in Clemson believes 64% is too low for his own store

μ < 0.64

Alternative Hypothesis:H₁:μ > 0.64

Test statistic

               [tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]

               [tex]Z = \frac{0.52-0.64}{\sqrt{\frac{0.64 X 0.36}{100} } }[/tex]

              Z =  -2.5

Level of significance = 0.05

Z₀.₀₅ = 2.326

The calculated value  |Z| = |-2.5| >2.326 at 0.05 level of significance

Final answer:-

The null hypothesis is rejected at a 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

Can you help I’m really stuck on this question.?.?.
No links. Pleas

Answers

Answer:

We can't see it all that well sorry.

Step-by-step explanation:

(u + 4.5)(1.2) please help

Answers

The answer is 48
(4+20)×2
Simplify
24×2
Simplify.
48

You flip a fair coin 32 times. About how many times would you expect heads to appear?

Answers

Its a 50/50 chance so about 16

Answer:15 heads out of 30 is the most likely outcome when flipping 30 coins, if you run the same calculation with 14 or 16 heads you will get two equal, but smaller probabilities, same with 13 and 17 heads, and so on.

Step-by-step explanation:

Helllllllllppppppppppppppppppppppppp

Answers

37.68 is the answer ........................
It’s 12.00 or the first answer choice.

tan C-
I need help with this pleases help

Answers

Answer:

is 40/41 because is de answerv

The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average dollar amount spent at his competitor's store. At the end of the day, he reviews the amounts of the last 15 grocery orders. The amounts rounded to the nearest dollar are: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50 He then visits the store of his competitor and surveys the first 15 people leaving the store with groceries. The amounts he records, also rounded to the nearest dollar, are: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69 What is the average amount of money spent at each store to the nearest cent

Answers

Answer:

The average spent at his store is of $37.60.

The average spent at his competitor's store is of $48.53.

Step-by-step explanation:

Average of a data set:

The mean of a data set is the sum of all values divided by the number of values.

His store:

15 orders.

Prices of: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50

The average is:

[tex]M = \frac{41 + 38 + 19 + 30 + 21 + 53 + 34 + 34 + 37 + 29 + 50 + 43 + 57 + 28 + 50}{15} = 37.6[/tex]

The average spent at his store is of $37.60.

Store of the competitor:

15 orders

Prices of: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69

The average is:

[tex]M = \frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15} = 48.53[/tex]

The average spent at his competitor's store is of $48.53.

Answer:

a) Manager's store: mean = $37.60

Competitor's store: mean = $48.53

b) Manager's store has a mean that is a better representation of the data because the competitor's data has an outlier of $112.

Step-by-step explanation:

used this for my test and it was correct.

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