please help. determine the value of cos(z). WX=6, XY=8, WY=10

Please Help. Determine The Value Of Cos(z). WX=6, XY=8, WY=10

Answers

Answer 1

The value of cos(z), when the sides of the triangle are WX is 6, XY is 8 and WY is 10, is 0.8.

What is right angle triangle property?

In a right angle triangle, the ratio of the opposite side to the base side is equal the tangent angle made opposite to the opposite side.

[tex]\tan \theta =\dfrac{b}{a}[/tex]

Here, (b) is the opposite side, (a) is the base side.

The two similar right angle triangle are shown in the image in which  WX=6, XY=8, WY=10.

For the similar triangle, the ratio of two sides of a triangle is equal to the ratio of corresponding sides of the other triangle. Thus,

[tex]\dfrac{YZ}{WY}=\dfrac{XY}{WX}\\\dfrac{YZ}{10}=\dfrac{8}{6}\\YZ=\dfrac{8}{6}\times10\\YZ=13.33[/tex]

By the right angle property,

[tex]\tan Z=\dfrac{WY}{YZ}\\Z=\tan^{-1}( \dfrac{10}{13.33})\\Z=36.9^o[/tex]

The value of cos(Z) is,

[tex]\cos Z=\cos 36.9\\\cos Z=0.8[/tex]

Thus, the value of cos(z), when the sides of the triangle are WX is 6, XY is 8 and WY is 10, is 0.8.

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Related Questions

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Ms. Putnam is taking a group of students to a basketball game. Tickets to the basketball game cost $8 each. For each ticket that she buys, Ms.
Putnam will buy a $1 drink and a $2 snack.
Which expression represents the total amount of money Ms. Putnam will spend if she buys tickets?
O A. 81 +1 +2
OB. 81 +1 +21
(8 + 1 + 2)1



HURRY

Answers

Answer:

Step-by-step explanation:

(8+1+2)t

t= the amount of tickets Ms. Putnam buys.

Hope this helps!

write the coordinate pair for L​

Answers

Answer:

Step-by-step explanation:

L can be  1/3, 1/3

Graph the solution set of the inequality 1/4x >-2

Answers

Answer:

x>= -8

Step-by-step explanation:

Hope the above image help..

Visit Quick math if you have problems with inequalities

2 inches Problem 2: = 2 On the map the scale is 5 inch = 25 miles. How many miles would it be to travel 8 - inches on the map? Problem 3:​

Answers

Answer:

Map Scale Equivalents

Map Scale Miles to Inches

1:100,000 1.6 miles = 1 inch

1:126,700 2 miles = 1 inch

1:150,000 2.4 miles = 1 inch

1:200,000 3 miles = 1 inch

Step-by-step explanation:

helpppppppppppppppppp 25 points

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Things we need to keep in mind in order to plot a point :

x - coordinate of the point shows its distance from origin in horizontal direction.

y - coordinate of the point shows its distance from origin in vertical direction.

Signs of the coordinates shows which side it lies on.

if x coordinate is positive then the point lies on right side of y - axis and if it is negative then it lies on left side of y - axis.

similarly,

if y coordinate is positive then the point lies above the x - axis , and if it's negative then it lies on down the x - axis.

Now, let's proceed ~

First check out its x - coordinate on origin and move up or down according to its y - coordinate and you will get your required point.

So, for point (1 , 0) it has y - coordinate = 0, so it lies on x - axis at the x - coordinate of 1.

Help (again) (Brainly wont let me post without 20 chars so filling in gaps)

Answers

Step-by-step explanation:

[tex]at \:x = 0 \: y = 5 \\ at \:x = 1 \: y = 20 \\ y = mx + b \\ b = 5 \\ 20 = m + 5 \\ m = 15 \\ y = 15x + 5[/tex]

if katie has 4 cups of milk and her recipe calls for a gallon, how much more milk does she need?

Answers

Answer: 8

Step-by-step explanation:

12 cups is a gallon

Answer: 12 more cups.

Explanation: There is 16 cups in a gallon, and Katie has 4 already. 16-4=12, so Katie needs 12 more cups to get a gallon of milk.

What is the midpoint of AB?

Answers

Answer:

hence the midpoint of AB is 1/2,1

Step-by-step explanation:

[tex]midpoint \: of \: ab = ( \frac{ - 2 + 3}{2} )( \frac{5 - 3}{2} ) \\ = ( \frac{1}{2} )(1)[/tex]

The plots in A-D all show ____________ correlation.

Answers

Answer:

Positive corralation

Step-by-step explanation: Algebra 1A-B

I need help please it’s a math problem

Answers

You can turn that ratio into a fraction:

3/5 voted yes

2/5 voted no

You can then multiply the fraction of people that voted yes by the total number of people.

[tex]=\frac{3}{5}(2860)[/tex]

= 1716

1716 people voted yes.

Answer:

1716

Step-by-step explanation:

2860 divided by 5 is 572

572x3 is 1716

572x2 is 1144

1144+1716 is 2860

so 1716 makes sense.

Find the slope of the line y=1/6x+3/2

Answers

Answer:  slope = 1/6

Reason:

The given equation is in slope-intercept form y = mx+b

m = 1/6 = slope

b = 3/2 = y intercept

An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of values for the third side, s? 2 < s < 18 6 < s < 12. 8 s < 2 or s > 18 s < 6 or s > 12. 8.

Answers

Answer:

Step-by-step explanation:

Method

The smallest the third side can be is something just larger than 2

You get 2 by subtracting10 and 8. The third side is just a bit larger. 8 and 2 will make up the length of 10 so you cannot use 2 itself

The largest value possible is just under 18. You get 18 by adding 8 and 10 together. So to get a triangle, you need just under 18.

Answer

2<s<18

A

Josephine can correct her students test papers in 5 hours, but if her teacher’s assistant helps, it would take them 3 hours. How long would it take the assistant to do it alone?

Answers

7 hours 30 minutes

Sure hope this helps you :D

If Josephine alone can correct test papers in 5 hours and if she takes helps from an assistant takes 3 hours then time taken by assistant alone to try and do the full add 7.5 hours.

What is average?

An average is basically total sum divided by number whose sum is found. Average= sum/n.

How to calculate time?

Josephine takes 5 hours to  correct her students test papers.

Josephine and assistant takes 3 hours to correct papers.

Let the test paper contains 100 questions.

In 1 hour Josephine checks 100/5 =20 questions per hour.

In 1 hour Josephine and Assistant checks 100/3=33.33 questions per hour.

In 1 hour assistant checks 33.33-20=13.33 questions.

Time taken by assistant to try to to work alone=100/13.33=7.5 hours.

Hence to try to to the work alone the assistant takes 7.5 hours.

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You randomly select a coin from a jar containing 30 coins: 8 pennies, 10 nickels, 7 dimes, and 5 quarters.

What is the probability of:

selecting a penny?

selecting a nickel?

not selecting a dime?

selecting a dime or a quarter?

Answers

The probability of selecting a penny is 4/15

The probability of selecting a nickel is 1/3

The probability of selecting a dime is 7/30

The probability of selecting a dime or a quarter is 2/5

Probability

From the formula for probability,

[tex]P(A) = \frac{Number\ of\ favourable\ outcomes\ to\ A}{Total\ number\ of\ possible\ outcomes}[/tex]

Total number of possible outcomes = 30

The probability of selecting a penny

[tex]P(penny) = \frac{8}{30}[/tex]

[tex]P(penny) = \frac{4}{15}[/tex]

The probability of selecting a penny is 4/15

The probability of selecting a nickel

[tex]P(nickel) = \frac{10}{30}[/tex]

[tex]P(nickel) = \frac{1}{3}[/tex]

The probability of selecting a nickel is 1/3

The probability of selecting a dime

[tex]P(dime) = \frac{7}{30}[/tex]

The probability of selecting a dime is 7/30

The probability of selecting a dime or a quarter

First, we will calculate the probability of selecting a quarter

[tex]P(quarter) = \frac{5}{30}[/tex]

[tex]P(quarter) = \frac{1}{6}[/tex]

Then, the probability of selecting a dime or a quarter is

[tex]P(dime \ or \ quarter) = \frac{7}{30}+ \frac{1}{6}[/tex]

[tex]P(dime \ or \ quarter) = \frac{7+5}{30}[/tex]

[tex]P(dime \ or \ quarter) = \frac{12}{30}[/tex]

[tex]P(dime \ or \ quarter) = \frac{2}{5}[/tex]

The probability of selecting a dime or a quarter is 2/5

Hence,

The probability of selecting a penny is 4/15

The probability of selecting a nickel is 1/3

The probability of selecting a dime is 7/30

The probability of selecting a dime or a quarter is 2/5

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Mike has 5 candy bars he wants to cut into 1/4 pieces to give to his friends. If he cuts all 5 candy bars into equal 1/4 portions,how many pieces does he have to give to people?

Answers

Answer: 20

Step-by-step explanation:

1 candy into 1/4 is 4 pieces
5candy will be 20 pieces




* (10) If the point (3,a) lies on the graph of the linear relation
described by the equation y=9-4%, determine the
value of a.

Answers

Answer:   a = -3

Explanation:

The point (3,a) means that x = 3 and y = a pair up together

Plug in those values and compute 'a'

y = 9-4x

a = 9-4(3)

a = 9-12

a = -3

The point (3, a) updates to (3, -3)

The point (3, -3) is on the line y = 9-4x

The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelf are 3 fiction and 5 nonfiction books. Choosing which 2 books describes a pair of dependent events?
A. one of the nonfiction books on the bottom shelf, and a second nonfiction book from the bottom shelf
B. one of the fiction books on the top shelf, and then one of the nonfiction books on the top shelf
C. one of the fiction books on the top shelf, and then one of the nonfiction books on the bottom shelf
D. one of the fiction books on the top shelf, and then a second fiction book from the bottom shelf

Answers

When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. The correct option is B.

Which pair of events are called independent events?

When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent if we have:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Comparing it with the chain rule will give

[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]

Thus, showing that whether one occurred or not, the other one doesn't care about it (independence).

The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelves, there are 3 fiction and 5 nonfiction books.

When Choosing 2 books that describe a pair of dependent events, one of the fiction books should be chosen from the top shelf, and another one should be a nonfiction book from the top shelf itself.

Hence, the correct option is B.

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Answer: One of the nonfiction books on the bottom shelf, and a second nonfiction book from the bottom shelf

Step-by-step explanation: Answer on Edmentum

help...............!

Answers

Answer:

I had an advise that math antics can help u

Step-by-step explanation:

Thank you

( 7k^8m) ( k^13m^7)÷(14k^20 m^9)​

Answers

Answer:

k=9

Step-by-step explanation:

Here's how to solve this equation

Step 1: -7(k+9)=9(k-5)-14k

Step 2: -7k-63=(9k-45)-14k

Step 3: -7k-63=-5k-45

Step 4: -7k=-5k+18

Step 5: -2k=18

Solution: k=-9

Good luck on your assignment, hope this helps


What is the scale factor of the dilation?

Answers

Step-by-step explanation:

ANSWER MY RECENT question

Identify the function that best models the given data

Answers

[tex]\bold{ANSWER:}[/tex]
2ND OPTION

[tex]\bold{SOLUTION:}[/tex]

Answer:

f(x) ≈ 58.20x2 + 18.96x + 34.46

Step-by-step explanation:

Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.

First Differences

113 − 34 = 79

304 − 113 = 191

615 − 304 = 311

1042 − 615 = 427

1584 − 1042 = 542

Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.

Second Differences

191 − 79 = 112

311 − 191 = 120

427 − 311 = 116

542 − 427 = 115

The second differences are approximately the same so we will use a quadratic function to represent the data.

Enter the data into a calculator. Plot the data and find the quadratic regression equation that best models the data.

f(x) ≈ 58.20x2 + 18.96x + 34.46

(I NEED THE ANSWER ASAP)

What is difference between the mean number of boxes sold during the first 4 months of last year and the first 4 months of this year?

Answers

Answer:

3.167

Step-by-step explanation:

Mean = Sum of the number of boxes/ sum of the number of months

Mean number of boxes sold last year = (435+428+437+398+447+426)/6= 428.5

Mean number of boxes sold this year=

(440+416+445+423+420+446)/6 = 431.667

Difference = 431.667-428.5

≈ 3.167

Hello answer and I will give you brainliest:No cheating!
Cheating=report

375 times 157=
Answer this or get reported

Answers

The answer is 58,875

find the area of a pentagon with an apothem of 7 centimeters

Answers

If the side length of the pentagon is 19.27 centimeters. Then the area of the pentagon will be 337.225 square cm.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The apothem of the pentagon is 7 cm.

Then the area of the pentagon will be

[tex]\rm Area = 5 \times \dfrac{1}{2} \times apothem \times side \ length[/tex]

The side length of the pentagon will be

[tex]\rm Side \ length = 2 \times 7 \tan 54^o \\\\Side \ length = 19.27\ cm[/tex]

Then the area will be

[tex]\rm Area = 5 \times \dfrac{1}{2} \times 7\times 19.27\\\\Area = 337.225[/tex]

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i need helpppppppppppppppppppppppppppppppppppppppppppppppp pleasee .

Answers

Answer:275sq

Step-by-step explanation:

210 feet for 1st rectangle

65 for the rectangle

The area of the triangle below is 14.25 square feet. What is the length of the base?

Answers

Answer:

5.7 feet

Step-by-step explanation:

Given:

[tex]\text{Height of triagle: 5 ft}[/tex]

Formula;

[tex]\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

Substitute the height and the area in the formula;

[tex]\implies\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

[tex]\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5[/tex]

Use cross multiplication;

[tex]\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5[/tex]

[tex]\implies14.25 \times 2= \text{Base} \times 5[/tex]

Simplify the left hand side;

[tex]\implies14.25 \times 2= \text{Base} \times 5[/tex]

[tex]\implies28.5= \text{Base} \times 5[/tex]

Divide both sides of the equation by 5;

[tex]\implies\dfrac{28.5}{5} = \dfrac{\text{Base} \times 5}{5}[/tex]

[tex]\implies \text{Base} = \dfrac{28.5}{5} = 5.7 \ \text{ft}[/tex]

Therefore, the measure of the base is 5.7 feet.

Answer:

5.7 feet

Step-by-step explanation:

The area formula for a triangle: A=(1/2) Base x Height

1. What we know: 14.25=(1/2)Base x 5

2. Now isolate "base" to get the answer. First, divide by 1/2. Dividing by 1/2 is the same as multiplying by 2. Leaves us with: 28.5=Base x 5.

3. The last thing we have to do is divide 5: 5.7=base.

4. To make sure, check with the formula: (1/2) 5.7 x 5=14.25

Which table represents a linear function?
x 1 2 3 4 5
y 5 10 15 20 25

x 1 2 3 4 5
y 5 20 45 80 125

x 1 2 3 4 5
y 5 25 125 625 3,125

x 1 2 3 4 5
y 2 4 8 16 32

Answers

Answer:

x 1 2 3 4 5

y 5 10 15 20 25

in x =n+1

in y=5n

Which deal is better? 10 slices of cheese at $2.48 or 12 slices of cheese at $3.18?

Answers

Answer: 10 Slices

Step-by-step explanation:

10 slices of cheese is about $0.24 a slice.

12 Slices of cheese is about $0.26 a slice.

So 10 slices is the better deal.

39 is 50% of what number?
A. 19.5
B. 64
C. 68
D. 78

Answers

Answer:

A-19.5

Step-by-step explanation:

You take 39 and times it by 50%

The divide 50 by 100

39 times 50/100

=19,5

Answer:

D. 78

Step-by-step explanation:

find the value of x and y in the figures below.​

Answers

The s was answer would be 5y

Answer:

1 ) x = y = 9

2 ) x = 5, y = 25

3 ) x = 15, y = 9

4 x = 30, y = 15

Step-by-step explanation:

1 )

The shape is parallelogram.

In parallelogram, alternate interior angles are equal.

9x and 45 are alternate interior angles.

So,

9x = 45

Divide 9 on both sides,

x = 45 / 9

x = 5

In square, opposite side lengths are equal.

2y = 18

Divide 2 on both sides,

y = 18 / 2

y = 9

2 )

The shape is parallelogram.

In parallelogram, the sum of adjacent angles are 180.

In parallelogram, opposite angles are equal.

5y and 55 are adjacent angles,

5y + 55 = 180

5y = 180 - 55

5y = 125

Divide 5 on both sides,

y = 125 / 5

y = 25

11x and 55 are opposite angles,

11x = 55

Divide 11 on both sides,

x = 55 / 11

x = 5

3 )

The shape is parallelogram.

In parallelogram, alternate interior angles are equal.

2x and 30 are alternate interior angles,

2x = 30

Divide 2 on both sides,

x = 30 / 2

x = 15

x + y and 24 are also alternate interior angles,

x + y = 24

15 + y = 24

y = 24 - 15

y = 9

4 )

The shape is a square.

Square is also a parallelogram.

All the four angles in a square are 90 and are equal.

So,

3x = 90


Divide, 3 on both sides,

x = 90 / 3

x = 60

6y = 90

Divide 6 on both sides,

y = 90 / 6

y = 15

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