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

hey im dum dum what's 45*23455/76?

Answers

Answer:

13887.8289474

Step-by-step explanation:

i used a calculator cuz im dum too lol

Answer:

45*23455/76 = 133887.82894736

sin θ = 12/37. Find tan θ.

Answers

Answer:

B

Step-by-step explanation:

Use SOHCAHTOA.

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex]

Opposite side length= 12

Hypotenuse length = 37

Find the adjacent side length (b) using the Pythagorean theorem.

[tex]12^2 + b^2 = 37^2[/tex]

b = 35

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = 12/35

Choice B is the correct answer.

Answer:

Step-by-step explanation:

using sin inverse rule to get  theta

[tex]sin^{-1} (\frac{12}{37} ) =18.9246[/tex]  <---- theta

so tan(18.9246) =12 /35

What is Square root of 296 to the nearest tenth?

Answers

Answer:

16.4

Step-by-step explanation:

√269= 16.40121946...

simplifies to 16.4 I believe

Answer: 17.2

Step by step explanation: Here are step-by-step instructions for how to get the square root of 296 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 296 to be:

√296 = 17.20465053408530

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

17.20

Step 3: Round 17.20 so you only have one digit after the decimal point to get the answer:

17.2

HELP FASTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Answers

Answer:

Step-by-step explanation:

 U bot. Nub

Solve P-6 = 16. Check your answer.
O p = 22
O p = -22
O p = 10
O p = -10

Answers

The answer is P=22
P-6=16
we can add 6 to both sides to cancel out the -6 and get p by itself.
p=16+6
now we add them
p=22

1) 16% of what number is 14?
2) 52 is what percent of 156

Answers

Answer: first one answer is 2.24

second one answer is 81.12

which expression is not equivelent to 2/3 x 4 ​

Answers

Answer:

8/3

Step-by-step explanation:

[tex]\frac{2}{3} \times 4\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{b}\times c=\frac{a\times c}{b}\\\\\frac{2}{3}\times \:4=\frac{2\times \:4}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:\\2\times \:4=8\\\\=\frac{8}{3}[/tex]

Please Explain and show answer

Answers

Looking at the graph. When x = 1, y = 15.

Meaning that each hours, the gallon of water will be filled in 15 gallons.

So in 10 hours, that'd be

10 × 15 = 150 gallons of water.

Therefore, the answer is 150 gallons of water.

Which is greater 0.25 or 0.025

Answers

Answer:

0.25

Step-by-step explanation:

0.25*100=25

0.05*100=5.25

25 is greater than 5.25 so 0.25 is your answer

Hope this helps :) and pls give brainliest

Jill and Erika made 5 gallons of lemonade for their lemonade stand.

Part1: How many quarts did they make?

Part2: If they charge $2.00 per quart, how much money will they make if they sell it all?

Answers

Part 1: 4 quarts in a gallon
4 * 5 = 20 quarts

Part 2: 20 * 2 = 40
They will make $40.00

2. A spider can walk at a certain speed and run at
another speed. If she walks for 10 seconds and runs for 9
seconds, she travels 85m. If she walks for 30 seconds and
runs for 2 seconds, she travels 130m. Find her speeds of
walking and running.

Answers

Answer:

The answer is below

Step-by-step explanation:

Speed is the ratio of distance covered to the time taken. Speed is given by the formula:

speed = distance / time.

Let us assume the spider walking speed is x and its running speed is y.

If the spider walks for 10 seconds and runs for 9  seconds, she travels 85m. distance = speed * time, hence:

Total distance = distance covered walking + distance covered running

10x + 9y = 85     (1)

Also if she walks for 30 seconds and  runs for 2 seconds, she travels 130m. Hence:

30x + 2y = 130   (2)

Solving equation 1 and 2 simultaneously by mutiplying equation 1 by 3 and subtracting equation 2 from the result:

25y = 125

y =5 m/s

Put  y = 5 in eqn. 2

30x + 2(5) = 130

30x = 120

x = 4 m/s

The spider walks at 4 m/s and runs at 5 m/s

Find the value of this expression if x = 7 and y= -2
xy^2/9

Answers

7(−2)^2 /9

7(−2)^2 /9  

= 28 /9

the answer above this is wrong if you’re using Plato

Is this a function?

Answers

Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

 

In my opinion I would say No but I could be wrong

what is the solution for x in the question? -4 +5x-7 =10+3x-2x
x =4/13
x =4/21
x =21/4
x =13/4

Answers

Answer:

x= 21/4

Step-by-step explanation:

have a good day

I don't understand how to do things like 5 divided by 1/3.​

Answers

No worries

First write 5 as 5/1.

Then, our division becomes:

5/1 ÷ 1/3

Then we just need to turn on second number upside down and multiply.

5/1 × 3/1

= 15/1

=> 15

helpppppp pleaseeee


question: Why do we need to know the mass of a robot? *
why is this in math why does my teacher does this

Answers

Answer:

To know what the answer is

Step-by-step explanation:

clearly I do not know, but I can say that we do need to know the mass bc in the future there will be more and more androids on the rising making human interaction bad.

to find out the equation take the seed and the time. (this to make it look like i answered) Taking the mass you will be able to find out how manyspeed is found by the time and masstime is found out by the mass and speedi dont know if this helped

Answer:

Step-by-step explanation:

Morgan's way to solve the equation |2x-7| =5 is first to write |x-3.5|=2.5. explain this approach, and then finish the job.

Answers

Answer:

Morgan divided 2 throughout the original equation, giving her |x-3.5|=2.5.

x = 6 and x = 1

Step-by-step explanation:

|2x-7|=5 -- divide by 2

|x-3.5|=2.5 and |x-3.5|=-2.5 -- since this is an absolute value equation, we have to consider both positive and negative

x-3.5 = 2.5

x = 6

x-3.5 = -2.5

x = 1

Multiply. Write the answer in simplest form.
2 1/6 x 3 1/2

Answers

Answer:

The answer is 91/12 in simplest form.

Which of the following is not a solution of the equation y=3x-4?
A. 2,2
B. 0,-4
C. 4,8
D. -1,-1

Answers

Plug in the numbers
2 = 3(2) - 4, true
-4 = 3(0) - 4, true
8 = 3(4) - 4, true
-1 = 3(-1) - 4, false

Solution: D

What is the approximate area of the unshaded region in the figure below

Answers

Answer:

where is the shaded part?

Step-by-step explanation:

Answer: We can't answer the question without a shape or an expatiation.  Please try again with an image or at least tell the answers and image in detail.

Step-by-step explanation:

6-3
Pleass helpppppp

Answers

Answer:

3

Step-by-step explanation:

-3 is 3

Help me please I’m confused

Answers

Answer:

Its c

Step-by-step explanation:

What course level took the longest to complete? University course and costs

Answers

............ . . . m m. .

work out the size of angle x​

Answers

I know this is off topic but I hope u have a good day

Each of four test scores in Connie’s class is to be weighted equally. On the first three tests, Connie scored 80%, 90% and 95%. What percent must she score on her fourth test to have an overall average of exactly 90%?

Answers

Answer:

95%is the answer

Step-by-step explanation:

Answer:

95%

Step-by-step explanation:

We can use the balancing method to do this.. first what is the total below 90?

The total is 10% because 90-80 which was the only percentage below 90 is 10%. Then, what is the total above 90?

The total is 5% because the only percentage above 90 is 95 and 95-90 is 5%

Now we use the balancing method to get from 5-10.

Using the balancing method we get 95%

-2(x+4)²= -200

can you guys please help

Answers

Answer: x= 6 or - 14

Joshua rents an apartment in an all-brick building in the city. The value of the
belongings in the apartment is about $25,000. If Joshua wants to insure his
belongings while renting, how much will he have to pay for insurance per
year?
Annual Premium per $100 of coverage
Brick
Steel
Mixed
Wood
Area
Building Contents Building Contents Building Contents Building Contents
rating
10.39 0.43 0.5
0.54
0.55 0.65 0.66 0.76
Suburb | 0.45 0.52 0.56 0.63 0.72 0.74 0.83 0.85
Rural 0.6 0.69 0.71 0.8 0.89 0.91 1
1.02
City
A. $107.50
B. $150.00
C. $173.50
D. S178.65

Answers

Answer:

107.5

Step-by-step explanation:AOPED

How many solutions does the equation
10x – 9x + 1 = 1 + 5 - 4 have?

Answers

Answer:

One Solution: x = 1

Step-by-step explanation:

Step 1:

10x - 9x + 1 = 1 + 5 - 4       Equation

Step 2:

x + 1 = 2          Combine Like Terms

Step 3:

x = 2 - 1        Subtract 1 on both sides

Answer:

x = 1

Hope This Helps :)

solve for the missing value (?) 3:9=? ?:81=

Answers

Answer:

27

Step-by-step explanation:

First you need to figure out what times 9 = 81

9 x 9 =81

since you have to do the same thing on both sides of the equation you do

3 x 9

which gets you 27

Riz got $200 for his birthday. He bought several long tennis rackets that cost $45.50 each. After the purchase he has $18 . Write an equation to find out how many rackets he bought and then find the number of rackets.

Answers

Answer:

he has bought 18 rackets.

Step-by-step explanation

papa loves a big juicy peen inside of him

Answer:

4

Step-by-step explanation:

(200-18)/45.50

= 182/45.50

= 4

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