In triangle XYZ, angle Y = 45º and angle Z = 60º. If XZ = 4, then what is XY?

In Triangle XYZ, Angle Y = 45 And Angle Z = 60. If XZ = 4, Then What Is XY?

Answers

Answer 1

Answer:

[tex]XY = 4.9[/tex]

Step-by-step explanation:

Given

[tex]XZ= 4[/tex]

[tex]\angle Y = 45[/tex]

[tex]\angle Z = 60[/tex]

Required

Determine the measure of side XY

To do this, we make use of sine law. This is as follows:

[tex]\frac{a}{\sin\ A} = \frac{b}{\sin\ B} = \frac{c}{\sin\ C}[/tex]

In this case:

[tex]\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}[/tex]

Cross Multiply

[tex]XY * \sin(45) = 4 * \sin(60)[/tex]

[tex]XY * 0.7071 = 4 * 0.8660[/tex]

Make XY the subject

[tex]XY = \frac{4 * 0.8660}{0.7071}[/tex]

[tex]XY = \frac{3.4640}{0.7071}[/tex]

[tex]XY = 4.89888276057[/tex]

[tex]XY = 4.9[/tex] -- approximated


Related Questions

Which statement regarding triangle EFG are true? Select three options

Answers

Answer:

It is the first three options. A,B,C or 1,2,3

Step-by-step explanation:

Which of the following is an example of the distributive property?
1. 3(10 + 5) = 3(15)
2. 3(10 + 5) = (10 + 5)3
3. 3(10 + 5) = 30 + 15
4. 3(10 + 5) = 3(5 + 10)​

Answers

Answer:

3 - 30+15

Step-by-step explanation:

take the outside number and multiply it by each individual number in the parenthesis one at a time

Which is an equation of the line that passes
through the points (1.3) and (-1, 1)?
A. X= 1
B. y = 2x + 1
C. y=x+2
D. y = 3

Answers

Answer:

c) y=x+2

Step-by-step explanation:

find slope and y-intercept then write in y=mx+b form and see which one matches

40x + 100≈/10
sorry if that equation is misunderstood...its a fraction

Answers

Answer:

now me good boy

x=4

According to the line of best fit, at what time will the temperature reach 100°C, the boiling point of water?

A 5
B 5.5
C 6
D 6.5

Answers

Answer:

It is also not B.

Step-by-step explanation:

I think that it might be D then.

50% chance lol

Why is it a good idea to check to see if your answer is reasonable?

a. if your answer is reasonable, you have
b. if you understand the problem, you will not need to check your answer.
c. you just need to solve for the varible
d. to get the correct answer, you will need to need to check your answer draw a picture

Please select the best answer from the choices provided.​

Answers

Answer:

D number option is the correct answer

Answer:

A. if your answer is reasonable, you have probably done the problem correctly

Step-by-step explanation:

The lines below are parallel if the slope of the solid line is 4,what is the slope of the gas line?

Answers

Answer:

We conclude that the parallel lines are equal and the slope of the gas line is:

m₂ = 4

Step-by-step explanation:

We know that the lines are parallel if the slope of both lines is equal.

In other words,

If m₁ = m₂, then the lines will be parallel.

Now,

Given that the slope of the solid line = m₁ = 4

As the parallel lines have equal slopes.

Thus,

The slope of gas line = m₂ = 4

as  

m₁ = m₂

Therefore, we conclude that the parallel lines are equal and the slope of the gas line is:

m₂ = 4

3/4 + 1/12 helppppppppppppppp

Answers

Answer:

The answer is 5/6.

Step-by-step explanation:

what is 11010base2 - 1101base2

Answers

Answer:

###########################

Step-by-step explanation:

lkaooassss

A how air ballon roses 474 feet. It then descends 130 feet. Find the elevation of the ballon is it started at sea levels.

Answers

Answer:

344 feet

Step-by-step explanation:

474-130=344

A right triangle has an area of 36 square units.
If you draw scaled copies of this triangle using the scale factors in the table, what will the areas of these scaled copies be?

Answers

Can somebody help??? A right triangle has an area of 36 square units.
If you draw scaled copies of this triangle using the scale factors in the table, what will the areas of these scaled copies be?

Answer:

the answer is 4

assume that the variable under consideration has a density curve. it is given that 27.1% of all possible observations of the variable are less than 17. Determine the area under the density curve that lies to the right of 17.​

Answers

Answer:

72.9%

Step-by-step explanation:

Given that :

27.1% of all possible observation of a certain variable are less than 17 ;

That is ;

Let variable = y ;

Proportion of (y < 17) = 27.1% = (27.1 / 100) = 0.271

Proportion that lies to the right :

P(y > 17) = 1 - P(y < 17)

P(y > 17) = 1 - 0.271

P(y > 17) = 0.729 = 72.9%

-2.5(4w-4)= -6 and check​

Answers

Answer:

y=60

Step-by-step explanation:

2 markers fewer than m packs of markers that have 9 markers in each pack

Answers

Answer:

9m-2

Step-by-step explanation:

There are m packs of markers, with 9 markers in each, so you multiply and get 9m. Then it says two markers fewer and that means subtract so it'’s 9m-2

Round 4,368 to the nearest ten

Answers

Answer:

4,370

Step-by-step explanation:

If you are looking for the nearest ten in 4,368, you round up the number 8. Eight is greater than five and not less than four, therefore, the answer is 4,370. Good Luck on whatever assignment you're doing!

Answer:
4370

Explanation:
5 or more you round to the next number. In this case 8 is above 5 so you round to the next number of 68 which is 70

Write your answer with no spaces and any fraction with “/“

Answers

Answer:

y=[tex]\frac{1}{2}x-2[/tex]

Step-by-step explanation:

Because of the slope, we would assume that it is 1/2 because when you use rise over run, the graph rises 1 unit up and shifts 2 units to the right.  The -2 is where the y-intercept is (0, -2) based on the picture seen above.  The slope is also positive where it is going up instead of going down.

I'm need help with this calculus question.

What is cos(5*20*34)?

Answers

Answer:

0.699

Step-by-step explanation:

cos(5*20*34)

cos(3400)

0.699

And this is Ari, signing off

Answers

Answer:

Byeee again haha

Step-by-step explanation:

Yea I'm answering this question again

A specific moderator deleted a lot of my answers almost all at once and for the reason that I didn't answer the question the people were asking, it's pretty weird as all the questions were either free points or very extremely straightforward questions like "what dynasty started the great wall" and usually when a moderator sees those they delete them but they just deleted my answer for almost no reason haha

Well if u see this then have a great day!

Answer:

ok :)

Step-by-step explanation:

help me pleaseeeeee!!!!!

Answers

Answer:

61

Step-by-step explanation:

   3x + 28

   5x + 52

+   2x - 10    

  10x + 70 = 180º

      x = 11

3(11) + 28 = 61º

find the differential coefficient of y=5×​

Answers

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Hey mate 5 is your Answer

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A rhombus is not a
a. polygon. c. trapezoid.
b. parallelogram. d. quadrilateral.

Answers

Answer:

polygon

Step-by-step explanation:

A polygon is any 2-dimensional shape formed with straight lines. Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons. A rhombus has 4 sides.

Hope this helps:) Have a great day!

2 3/4 as an improper fraction

Answers

Answer: 11/4

Step 1
Multiply the denominator by the whole number
4 × 2 = 8

Step 2
Add the answer from Step 1 to the numerator
8 + 3 = 11

Step 3
Write answer from Step 2 over the denominator
11/4

Charlie can run 2 laps every 10 minutes and 4 laps every 28 minutes. How long will it take for Charlie to run 3 laps.

Answers

Answer:

19min

Step-by-step explanation:

I need your help pls help me I make u big brain\

Answers

4 or d object is moving away at an increasing speed

Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios.

Which table shows the same data?

Answers

Answer:

d

Step-by-step explanation:

PLZ HELP ASAP WILL GIVE BRAINLIEST

Answers

can anyone help me on my recent question please

Which choices are solutions to the following equation?
Check all that apply.
X2-7x = -24/4
A. X=1
B. X=2
C. X=12
D. X=6

Answers

The answer is d sorry if I’m wrong

Solve the equation.
W+3/3 = - 4

Answers

Answer:

W=−5

r=3

hope this helps!!

Your family’s meal at a restaurant costs $42.00. If you leave a tip of 20%, what will be the total cost?

Answers

Answer:

[tex]\$50.4[/tex]

Step-by-step explanation:

[tex]As\ we\ given,\\Actual\ cost\ for\ the\ family\ meal= \$ 42\\Additional\ cost\ percent\ to\ the\ meal\ as\ the\ tip=20 \%\\We\ know\ that,\\Additional\ Cost\ for\ the\ tip= Cost\ percent\ of\ the\ tip* Actual\ price\\ of\ the\ meal\\Hence\ by\ substituting\ the\ values,\\Additional\ Cost\ for\ the\ tip=20 \%*42\\Additional\ Cost\ for\ the\ tip=\frac{20}{100} *42\\Additional\ Cost\ for\ the\ tip=\frac{1}{5}*42\\Additional\ Cost\ for\ the\ tip=\$ 8.4\\[/tex]

[tex]Hence,\\Total\ Cost\ of\ the\ dine=Additional\ Cost\ for\ the\ tip+Actual\ Cost\ of\\ the\ meal\\Hence,\\Total\ Cost\ of\ the\ dine=42+8.4=\$50.4[/tex]

Thee questionn is beloww

Answers

Given:

[tex]m\angle ABC=60[/tex]

To find:

The [tex]m\angle ADC[/tex].

Solution:

In circle B, [tex]\angle ABC[/tex] is central angle and [tex]\angle ADC[/tex] is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

[tex]m\angle ABC=2(m\angle ADC)[/tex]         [Central angle theorem]

[tex]60=2(m\angle ADC)[/tex]

Divide both sides by 2.

[tex]\dfrac{60}{2}=m\angle ADC[/tex]

[tex]30=m\angle ADC[/tex]

Therefore, [tex]m\angle ADC=30[/tex].

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