find the missing side lengths. leave your answers as radicals in simplest form.
will mark brainliest answer!!!
x=?
y=?​

Find The Missing Side Lengths. Leave Your Answers As Radicals In Simplest Form.will Mark Brainliest Answer!!!x=?y=?

Answers

Answer 1

Answer:

x = 4 , y = 2

Step-by-step explanation:

Using the sine / tangent ratios in the right triangle and the exact values

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

x [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 4

and

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{2\sqrt{3} }{y}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by y )

y [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 2


Related Questions



please help me thank you​

Answers

Answer:

Step-by-step explanation:

1.x +y = 1   Yes

2. Power of variable e is 3. So, it is not a linear equation

No.

3) Great than symbol is there. No, it is not a linear equation.

4. 2x -y = 2x + 5

2x - y - 2x = 5

      -y = 5 is not a linear equation with two variable.

No.

5. No.

1) (5,14)  ; (19,7)

[tex]Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{7-14}{19-5}\\\\=\dfrac{-7}{14}\\\\=\dfrac{-1}{2}[/tex]

2) (-10 , 1)  ; (-10 ,4)

x- coordinate is same for both the points. So, the line is parallel to y-axis

Slope = undefined

[tex]3) (-3,-3) ; (15,13)\\\\slope=\dfrac{13-[-3]}{15-[-3]}\\\\=\dfrac{13+3}{15+3}\\\\=\dfrac{16}{18}\\\\=\dfrac{8}{9}[/tex]

[tex]4)(\dfrac{-1}{2},\dfrac{1}{7}) ; (\dfrac{-3}{2},\dfrac{2}{7})\\\\Slope=\dfrac{\dfrac{2}{7}-\dfrac{1}{7}}{\dfrac{-3}{2}+\dfrac{1}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{\dfrac{-2}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{-1}\\\\\\=\dfrac{-1}{7}[/tex]

Compare with y = mx + b  ; here m is slope

1. y = -2x - 8

slope = -2

2. x = 3

Line is parallel to y-axis.

So, slope = undefined

3.2x - y = 4

        2x - 4 = y

y = 2x - 4

Slope = 2

4.) 2x + y - 5 = 0

       y = -2x + 5

Slope = -2

3x(5+4)=7

what dose that =

Answers

the answer is x=-15/5

Help plsssssssssssssssssssssssssssssssssssssssssss
Hehe it’s a test for y’all the best will get full marks and 100 points with brainly

Answers

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Make me as brain liest

How do you solve this

Answers

Answer:

x = 8

Step-by-step explanation:

1. First, we should realize that the angle with 16x + 7 and the angle with 5x + 5 are same-side interior angles, meaning they add up to 180 degrees. This means that 16x + 7 + 5x + 5 = 180.

2. (Solving)

Step 1: Simplify both sides of the equation.

[tex](16x+5x)+(7+5)=180[/tex] [tex]21x + 12 = 180[/tex]

Step 2: Subtract 12 from both sides.

[tex]21x + 12 - 12 = 180 - 12[/tex] [tex]21x = 168[/tex]

Step 3: Divide both sides by 21.

[tex]\frac{21x}{21}=\frac{168}{21}[/tex] [tex]x = 8[/tex]

Step 4: Check if solution is correct.

[tex]16(8)+7+5(8)+5=180[/tex] [tex]128 + 7 + 40 + 5 = 180[/tex] [tex]135 + 40 + 5 = 180[/tex] [tex]175 + 5 = 180[/tex] [tex]80= 80[/tex]

Therefore, x = 8.

can somebody please help me I’m begging I need help

Answers

Answer:

4.0%

Step-by-step explanation:

percent change = (new number - old number)/(old number) * 100

percent change = (25475 - 24500)/(24500) * 100

percent change = 3.979...%

Answer: 4.0%

Solve the Expression
5-(2*8)+14=

Answers

Answer:

3

Step-by-step explanation:

5-(2*8)+14=

Parentheses first

5-16+14=

Then add and subtract from left to right

-11 +14

3

Use the following graph to find the slope, y-intercept, and x-intercept. 2 (-6,0) (2,-2) ​

Answers

M= -1/4 B= -1.5 X intercept= -6

USE THE CLUES TO CRACK THE CODE
The digits of the code are 4,4, 0, and 2.
The number is less than 1.
The value of the thousandths digit is
value of the hundredths digit.
the
10

Answers

Answer:

Is the answer 0.244? Not sure whether you are asking for help or asking for others to do.

)
2 ft
2 ft
Perimeter:
Area:

Answers

Answer:

perimeter = 8 ftarea = 4 ft

Solution:

perimeter- 2 + 2 + 2 + 2 = 8

area of square- (length × width) 2 × 2 = 4

pls help
Which of the sets of ordered pairs represents a function? (5 points)

A = {(3, −5), (4, 6), (−3, 9), (2, 7)}
B = {(2, 4), (−1, −7), (5, 6), (4, 3)}

Answers

Answer: both

Unless you mistyped the first number and it’s actually -3 instead of 3 than b is the answer.

To see if they make a function you can graph all the coordinates and do the line test. Or you can look at all the numbers and see if any of the ordered pair have repeating x values. If they do, it’s not a function.

Remember, it’s (x,y) and if any X values repeat, it’s NOT a function

A good first
step to solve
4(X-9)=36
would be
to

Answers

Answer:

Use the distriputive property which would give you:

4x-36=36

Step-by-step explanation:

a 450-square-foot apartment in new york city costs $540,00 what is the price per square foot?

Answers

Answer:

$1200

Step-by-step explanation:

Let cost of 1 square foot be x

So, Cost of 450 square feet =  450x

We are given that A 450-square-foot apartment in New York City cost $540,000.

So, 450x = 540000

x= [tex]\frac{540000}{450}[/tex]

x= 1200

Cost of 1 square foot = $1200

Hence the price per square foot is  $1200

If the slope of a line and a point on the line are​ known, the equation of the line can be found using the​ slope-intercept form, y = mx + b. To do​ so, substitute the value of the slope and the values of x and y using the coordinates of the given​ point, then determine the value of b. Using the above​ technique, find the equation of the line containing the points (-4,7) and (2,-2).
What is the equation of the line?

(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.)

Answers

Answer:

y=-3/2x+1

Step-by-step explanation:

NOTE: Doing graphs by hand is a lot easier, it saves a lot more time as well.

Step 1: plot your 2 known points.

Step 2: draw a line that goes between both points

Step 3: find the distance of the points in RISE/RUN format.

-9/6. The slope is negative because the line goes down to the right.

Step 4: find your y-intercept.

1.

Step 5: simplify your equation

-9/6 = -3/2

What is the equivalent ratio to 14:10 ?

?:30

Answers

Answer:

42:30

Step-by-step explanation:

10 x 3 = 30

14 x 3 = 42

The answer is 42.

10 is 3 times to get to 30

So 3 times 14 gets to ?

14:10
42:30

i need serious help guys!!!!!!

Answers

Answer:

b.

Step-by-step explanation:

Factor the following Polynomial a) 6x - 18​

Answers

U could easily do this on Photo-math- but here: 6(x−3)
6(x-3) for problems like this i like using math away

help ill give brainly

Answers

Answer:

The answer would be 26%

Step-by-step explanation:

Answer:27  

i think that 27 is the answer

If x + y = 10 and x - y = 4, find the value of x² - y²

Answers

Answer:

x²-y² = 40

Step-by-step explanation:

Factorising x²-y²:

x²-y² = (x+y)(x-y)

This is due to the property that states:

a²+b² = (a+b)(a-b)

Substituting the given values into the above equation:

x²-y² = (10)(4)

= 40

Hence, x²-y² = 40

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

x² - y²=40 or 7²-3²=40

Step-by-step explanation:

if x=7 that would make y=3

7+3=10 and 7-3=4

7x7=49

3x3=9

49-9=40

Jones needs to travel from Town A to Town B in 2 hours. If the distance between between two towns is 320km. At what speed will Jones need to drive?

Answers

Answer:jone cần lái xe với tốc độlà:

Step-by-step explanation:   320/2=160(km/h)

I need this bonus question

Answers

Answer:

52 units^2

Step-by-step explanation:

The area of the dresser is simple. It is just a rectangle that is 4 units by 3 units.

A_dresser = LW = 4(3) = 12 units^2

The area of the bed is a little more complicated, but you can get by using just areas of rectangles.

See the picture below.

Notice that the entire bed fits within a square (shown in blue) that is 9 units by 9 units.

The area of the square is 81 units^2.

We need to subtract the areas of the 4 triangles at the corners.

There are two triangles, top left and bottom right (shown in green), that have a base of 5 and a height of 5. They combine to for a square that is 5 units by 5 units. The area of this square is 25 units^2.

There are two triangles, top right and bottom left (shown in red), that have a base of 4 and a height of 4. They combine to for a square that is 4 units by 4 units. The area of this square is 16 units^2.

Now subtract 25 and 16 from 81 to get the area of the bed.

81 - 25 - 16 = 40

A_bed = 40 units^2

Combined area of bed and dresser:

A = 40 units^2 + 12 units^2 = 52 units^2

Answer: 52 units^2

Here's another way of finding the area of the bed:

Count the number of full squares inside the bed (there are 31). Each full square is 1 unit^2. Then count the number of half-squares inside the bed (there are 18). Each half-square is 1/2 units^2. Add them all up:

31 + 1/2 * 18 = 31 + 9 = 40

You get 40 units^2

Write an equation in slope-intercept form for the line described. Write the slope and y-intercept as fractions, if necessary. passes through (6, 2), parallel to y = -}x+1

Answers

So, using what I’m being given:

The slope of your answer will be whatever number is supposed to be in front of the x (assuming you hit the close brace on accident the same time you hit the minus sign, I’m gonna assume you meant to put -x+1) making the slope of your answer -1.

So you have y=-x+b

To find b, plug in (6,2)

2 = -(6) + b
8 = b

So, your answer would be

y = -x + 8

Otherwise, whatever is suppose be in front of the x,

y = -mx + (2+6m)

A choir teacher is dividing 6 sopranos and 20 altos into singing groups. He wants each group to have the same combination of sopranos and altos, with no singers left over. What is the greatest number of groups he can make?

Answers

GCF (Greatest Common Factor)

6: 1,2,3,6
20: 1,2,4,5,10,20

2 is the greatest number in both, therefore there can only be 2 groups of 3 sopranos, and 10 altos.

Jorge has a standard deck of 52 cards and a six-sided number cube. What is the probability that he will draw a diamond from the deck of cards and roll a number greater than two? Write your answer as a simplified

Answers

The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 2/39

Probability is the like likelihood or chance that an event will occur.

Probability = Expected outcome/Total  outcome

If Jorge has a standard deck of 52 cards, the total outcome is 6

If Jorge draw a diamond card, the probability that he will draw a diamond card is 4/52 = 1/13

For a six-sided cube, the total outcome is 6. If he rolls a number greater than two, the expected outcome will be 4

The probability that he rolls a number greater than 2 is 4/6 = 2/3

The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 1/13 * 2/3 = 2/39

Learn more here: https://brainly.com/question/15739237

Help me please this is due tommorow

Answers

It’s B. (-infinity, -8)

Evaluate 4.56 × 3.6/ 0.12 and leave you answer in standard form.

Answers

Answer:

136.8

Step-by-step explanation:

As per DMAS rule, we can divide first or multiply first. I would choose divide first. Then:

4.56 x 3.6/0.12

= 4.56 x 30.

Since I divided first, the next step is to multiply.

4.56 x 30

= 136.8

Since there is no addition or subtraction happening next, the process ends here and the answer is 136.8.

Kind requests:

Please give me brainliest if this was helpful.

The expression value  [tex]4.56 \times \frac{ 3.6}{0.12}[/tex] in standard form is 136.8=1.368×10².

To evaluate the expression [tex]4.56 \times \frac{ 3.6}{0.12}.[/tex]

Find the multiplication of the numerator with 4.56 and then divide it by 0.12.

Perform the multiplication first:

4.56×3.6 = 16.416

Now we divide the result by 0.12:

[tex]\frac{16.416}{0.12} = 136.8[/tex]

To express the answer in standard form, we rewrite it as a number multiplied by a power of 10.

In this case, we move the decimal point two places to the right to obtain a whole number:

136.8=1.368×10²

Therefore, the answer to the expression  [tex]4.56 \times \frac{ 3.6}{0.12}[/tex] in standard form is 136.8=1.368×10²

To learn more on Expressions click:

https://brainly.com/question/14083225

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If someone could help me I would mean a lot man.

Use the equation for the constant of proportionality, k =y/x, to determine each unknown value.
a. k = and y = 15
b.k = 1 and y = 5

Answers

Answer:

a k= and y=15

B . k=1 and y=5

can someone help me with this i am so confused

Answers

Answer:

HGI = 30

b/ce they are Vertically opposite angles

JGH = FGI

Answer:

1: Angle HGI is 30 degrees, Angle FGI is the same as JGH

Hope that helps. Brainliest is appreciated if it did!

How are rates and ratios related?

Answers

Answer:

Rates are ratios that are renamed so that one of the numbers is 1. It is usually the denominator of the original ratio.

answer my sister need help

Answers

Answer:

1. B 1/3

2. C 12

1) 1/3

2) 12

ur welcome:)

find the domain and range of the following functions​

Answers

Answer:

Step-by-step explanation:

X values are the domain and y values are range.

Domain = {-1,8,1,-2 }

Range = {3,2,5}

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