Find the values of w, x and y.

Find The Values Of W, X And Y.

Answers

Answer 1

Answer:

w= 27.47 degree

x=9.99 cm

y=12.02 cm

Step-by-step explanation:

The value of w:

In a right-angled triangle [tex]\tan \theta = \frac {\text{Perpendicular}}{\text{Base}}[/tex]

[tex]\tan w = \frac {\text{Perpendicular}}{25+9}\;and \; \tan 63 = \frac {\text{Perpendicular}}{9}[/tex]

So, [tex]34 \tan w = 9\tan (63)[/tex]

[tex]\tan w = (9/34)\tan(63)=0.52 \\\\w=\tan^{-1}(0.52) \\\\[/tex]

w= 27.47 degree

The value of x:

In a right-angled triangle [tex]\sin \theta = \frac {\text{Perpendicular}}{\text{Hypotaneous}}[/tex]

sin (27) =x/22

x= 22sin(27)

x=9.99 cm

The value of y:

By using Pythagoras theorem,

[tex]y^2+y^2=17^2 \\\\2y^2 = 289 \\\\y^2 =289/2= 144.5 \\\\y=\sqrt {144.5} \\\\[/tex]

y=12.02 cm


Related Questions

What are the coordinates of the equation 16x + 8y = 24

Answers

Answer: (0,3) (1.5,0)

Step-by-step explanation:

The coordinates of the equation 16x + 8y = 24 are (0,3) and (1.5,0).

through: (1,-1), Parallel to y = 1/4× - 4​

Answers

Answer:

I believe it is y=1/4x.

At a park, the cost to rent a bike has an initial fee of $15.00 plus $7.50 per hour. Which equation models the relationship between total cost, y, and the number of hours, x, that the bike is rented?

Answers

Answer:

y = 15 + 7.50x

Step-by-step explanation:

It is given that, At a park, the cost to rent a bike has an initial fee of $15.00 plus $7.50 per hour.

Let the number of hours is x and the total cost is y.

When the bike is rented for x hours, its cost will be 7.50x.

Total cost (y) in terms of number of hours is given by :

y = 15 + 7.50x

Hence, this is the required equation.

ill help just cal me MAMAS

Answers

Answer:

Bet

Step-by-step explanation:

- 8.5а - 4.5+ За = - 24.5​

Answers

Answer:

a=3.63

Step-by-step explanation:

Isolate the variable by dividing each side by factors that contain the variable.

3.63
hope this helps:)

Please help me answer this for a test im having trouble

Answers

Answer:

x + 1

y = 9

Step-by-step explanation:

In order to solve this question we need to represent "y "in terms of "x" in the first equation, and the plug in the "y" value in the first equation into the second one. Luckily for us in the first equation it already shows what "y" is equal to in terms of "x" (based on the first equation y = -x + 10). Now we just need to plug in the value that we got instead of "y" in the second equation, and so we get....

y = 7x + 2

(plug in the y value and get the following ….)

-x + 10 = 7x + 2

(now just solve the following equation)

-x + 10 + x = 7x + 2 + x

10 = 8x + 2

10 - 2 = 8x + 2 - 2

8 = 8x

8/8 = 8x/8

1 = x

Now that we know the value of "x", all we need to do now is substitute the value of "x" into any of the equations and we will get the value of "y". So we do the following.....

y =  7x + 2

y = 7(1) + 2

y = 7 + 2

y = 9

Write the product 3i(5 - 3i) in the form a + bi.

Answers

An imaginary number is denoted by i.

The value of i is √-1.

Imaginary number.

i= √-1

i² = -1

i³ = -i = -√-1

The product of 3i (5 - 3i) in the form of a + bi is

9 + 15i.

What is an imaginary number?

An imaginary number is denoted by i.

The value of i is √-1.

We have,

Imaginary number.

i= √-1

i² = -1

i³ = -i = -√-1

Now,

3i (5 - 3i)

Removing the parenthesis.

= (3i x 5) - (3i x 3i)

= 15i - 9(-1)

= 15i + 9

= 9 + 15i

This is in the form of a + bi

Thus,

The product of 3i (5 - 3i) in the form of a + bi is

9 + 15i.

Learn more about imaginary numbers here:

https://brainly.com/question/6748860

#SPJ2

I had $3
My ma gave me$10
My uncle n auntie gave me $20
My grandpa gave me $100
I still had $6 more

How much did i have before this??

Answers

Answer:

133 bucks can i get brainliest

Step-by-step explanation:

Jordan is painting his kitchen. To get the color he wants, he mixes 2 parts red paint and 6 parts yellow paint. 1) Write the ratio of parts red paint to parts yellow paint as a fraction. 2) Then, write the unit rate of red paint to yellow paint.

Answers

Answer:

1. 1/3 or 1 red paint : 3 yellow paint

2. 3/1 or 3 or 3 yellow paint : 1 red paint

Step-by-step explanation:

First figure out red to yellow

2 parts red : 6 parts yellow

simplified it is 1 part red : 3 parts yellow or 1/3

Repeat for ratio of yellow to red

6 parts yellow : 2 parts red

simplified is 3 yellow : 1 red or 3/1 or 3

Please give thanks, hit the heart button :)

State all integer values of x in the interval [1, 8] that satisfy the following inequality:
4x- 5> 4

Answers

Step-by-step explanation:

4x - 5 > 4

4x > 9

x > 2.25

Hence the integer values of x that satisfy are 3, 4, 5, 6, 7 and 8.

Math item stem image
does this figure have symmetry

Answers

Answer: yes

Step-by-step explanation:

plsss need help!!! will give brainliest !!!

the x values in the table for f(x) were multiplied by -1 to create the table for g(x).what is the relationship between the graphs of the two functions.

Answers

Answer:

The relationship between the graphs of the two functions is "They are reflections of each other across the y-axis"B

Step-by-step explanation:

If the function f(x) reflected across the x-axis, then the new  function g(x) = - f(x), which means the signs of the y-coordinates of the points on f(x) are opposite in g(x)If the function f(x) reflected across the y-axis, then the new  function g(x) = f(-x), which means the signs of the x-coordinates of the points on f(x) are opposite in g(x)

∵ The points on f(x) are (-2, -31), (-1, 0), (1, 2), (2, 33)

∵ The points on g(x) are (2, 3), (1, 0), (-1, 2), (-2, 33)

∵ All x-coordinates on f(x) multiplied by -1 to get the x-coordinates of g(x)

→ By using the 2nd rule above

∴ g(x) is the image of f(x) after reflection across the y-axis

The relationship between the graphs of the two functions is

    "They are reflections of each other across the y-axis"

what is the distance between points C and D
C(2,1)
D(4,1)​

Answers

Step-by-step explanation:

let c=x1, y1 and d=x2,y2

Then distance=√(4-2)²+(1-1)²

= √4+0

=2

ans is 2 units

I NEED HELP WITH THIS ( IM IN LIVE ADN I NEED IT DONE TODAY)
all you need to do is explain it.

Answers

5


Explanation: To find the rate of change we need to plug the numbers into the formula of x1-x2/y1-y2


So we need to get the biggest and smallest numbers for each row so the equation would look like this


500-300/40-0 so the answer would be 5 have a nice day (:

Last one for tonight. This really confused me. Please help.

Answers

Answer:

In the top green thing goes X in the bottom one it goes Y

X: 1,2,3,4,5

Y: 20, 28, 36, 46, 52

Step-by-step explanation:

a-17.9=32.4
i don't know the answer please help

Answers

Step-by-step explanation:

a-17.9=32.4

a=32.4+16.9

a=50.3

Joy added 26 new contacts to her phone list. She now has a total of 100 contacts. Let c represent how many contacts joy had on her phone before she updated it

Answers

Answer:

c=74

Step-by-step explanation:

Let c represent how many contacts Joy had on her phone before she updated it.

Because Joy added 26 new contacts, we can say that c+26 is equal to her new total of 100 contacts.

c+26=100

Therefore, the equation that represents this situation is c+26=100

Now, we can use our equation to solve for c.

c+26=100

Subtract both sides by 26 to isolate c

c+26-26=100-26

c=74

Therefore, Joy had 74 contacts on her phone before she updated it.

I hope this helps!

Can anyone help me with this question??

Answers

Answer:

The asnwer is 83.6 :)

Step-by-step explanation:

7.6x11=83.6

Answer:

i think its B .-.

Step-by-step explanation:

the other numbers are less than the ones up above

Please help me!! 15 pts and Brainliest!

Question and graph is in image, thanks and please answer correctly!

Answers

Answer:

the measure of angle sbt is 95 degrees

Step-by-step explanation:

50+35=85

180-85+95

1+1

Brainliest is in the deal first one to answer

Answers

Step-by-step explanation:

2 !!!

hope it helps

have a great day:))

Answer:

2 :D

Step-by-step explanation:

......thank you....

please help ASAP due tomorrow!!!

Answers

Answer:

1. b =1/2 (4)(3.5)

v=(14)(8)

2.b= 1/2 (9)(12)

V=(54)(13)

3.b= 1/2(7)(6.1)

v= (21.35)(9)

Which triangle congruence is this a picture of?
SSS
SAS
AAS
HL

Answers

Answer:

sas

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

SAS


6. Compare the line passing through the points (-2, -9) and (4, 6) with the line given by the equation
y=2/5x-4.
А They have the same slope.
B They have the same x-intercept.
с The two lines are
perpendicular.
D They have the same y-intercept.

Answers

First find slope
(6+9)/(4+2) = 15/6 = 5/2
Y = 5/2x + b
-9 = 5/2(-2) + b
-9 = -5 + b, b = -4
Same y intercept

Solution: D

HELPPP ACELLUS ALGEBRA 2
Divide.
3x^3 + 2x^2 – 3x + 54
/x + 3

Answers

Answer:

The answer is 5

Step-by-step explanation:

I hope this is helpful

Find the measure of each acute angle.

(3x + 2)∘ = and x∘ =

Answers

Answer:

The measure of one of the acute angles is 22 degrees, and the measure of the other acute angle is 68 degrees.

Step-by-step explanation:

The angles of a triangle add up to 180 degrees; we know this by the Sum of Angles of a Triangle Theorem.

Then one angle is marked as a right angle meaning it has a measure of 90 degrees.

Using this information and the labels on the diagram we can set up an equation:

x+3x+2+90=180

Now we can solve for x.

4x+92=180

4x=88

x=22 degrees

The measure of one of the acute angles is 22 degrees.

Now to solve for the measure of the other acute angle.

Subsitute the value of x first.

x=22

(3x+2)=?

3*22+2=68 degrees

The measure of the other acute angle is 68 degrees.

In the right-angled triangle given, the measure of each of the acute angles in the given diagram are:

[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]

The triangle given is a right triangle having an angle tat is 90 degrees and two other acute angles given as: x and (3x + 2)

Thus:

[tex]x + (3x + 2) + 90 = 180^{\circ}[/tex] (sum of triangle)

Solve for the value of x

[tex]x + 3x + 2 + 90 = 180[/tex]

Add like terms

[tex]4x + 92 = 180\\\\[/tex]

Subtract 92 from each side

[tex]4x = 180 - 92\\\\4x =88[/tex]

Divide both sides by 4

x = 22

Measure of one of the acute angles is 22 degrees.

To find the second acute angle measure, substitute the value of x

3x + 2 = 3(22) + 2 = 68 degrees

Therefore, in the right-angled triangle given, the measure of each of the acute angles in the given diagram are:

[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]

Learn more here:

https://brainly.com/question/347922

how do you solve 4devided by
12

Answers

Answer:

0.33333333

Step-by-step explanation:

4 divided by 12 would be written like this: 4/12

it's always good to simplify if possible, so it should look like this: 1/3

3 which is the denominator would be divided by 10, so 3/10 = 0.33333333

0.33333333 is the answer because the numerator is how many times you multiply it, and 1*0.33333333 = 0.33333333

Please give working step and the answer

Answers

Answer:

Probability = [tex]\frac{22}{31}[/tex]

Step-by-step explanation:

Number of students working part time, living in dorm = 22

Total number of students working part (either living in dorm or not in dorm)

= 22 + 9

= 31

Probability of the students working part time and living in dorm,

P = [tex]\frac{\text{Favorable event}}{\text{Total outcomes}}[/tex] = [tex]\frac{\text{Students working part time either living in dorm}}{\text{Total number of students working part time either living in dorm or not}}[/tex]

P = [tex]\frac{22}{31}[/tex]

Therefore, probability of the students chosen that he/she is working part time given that he/she lives in dorm is [tex]\frac{22}{31}[/tex].

it’s late! Help asap!

Answers

Answer:

Both are correct

Step-by-step explanation:

All the angles are equal, therefore causing the triangles to be similar.

Both are correct compare them to geothermal

A 3 ounce box of pudding mix cost $0.52, and a 6 ounce box of pudding cost $0.90. What is the difference in cost per ounce between the larger and the smaller boxes?

Answers

Answer:

.17 per once for the smaller box and .15 for the bigger box

Step-by-step explanation:

Assume you know that a hot-air balloon is currently inflated with a certain amount of air and that the amount is a percent of the total amount required to inflate the balloon. Explain how you would determine the total amount of air required to inflate the balloon.

Answers

Answer:

Percent air is calculated as:

Percent air = Current amount/Total amount *100

Solve for total amount of air:

Total amount  = Current amount / Percent air * 100

Substitute the values in hand to get the answer

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