1. Solve x and y for the diagram.

1. Solve X And Y For The Diagram.

Answers

Answer 1

Answer:

B

Step-by-step explanation:

The triangle RUS is similar to RST. 9/sqrt(90)=y/(3+x) and y^2=x^2+81. Solving all this will give x=27 and y=9*sqrt(10)

Answer 2

Value of x is 27 and value of y is [tex]9\sqrt{10}[/tex].

What is angle addition postulate?

The angle addition postulate in geometry states that if we place two or more angles side by side such that they share a common vertex and a common arm between each pair of angles, then the sum of those angles will be equal to the total sum of the resulting angle.

X-value:

<RST = [tex]90^{0}[/tex]

[tex]tan( < RSU)= \frac{\overline R \overline U}{\overline S \overline U}[/tex]

[tex]tan( < RSU) = \frac{3}{9}[/tex]

[tex]< RSU = 18.435^{0}[/tex]

Angle addition postulate:

<RST = <RSU + <TSU

[tex]90^{0} =18.435^{0} + < TSU[/tex]

[tex]< TSU =71.565^{0}[/tex]

[tex]tan( < TSU) = \frac{\overline T \overline U }{\overline S \overline U}[/tex]

[tex]tan(71.565^{0})=\frac{x}{9}[/tex]

[tex]x=27[/tex]

Y-value:

<RST = [tex]90^{0}[/tex]

[tex]tan( < RSU)= \frac{\overline R \overline U}{\overline S \overline U}[/tex]

[tex]tan( < RSU) = \frac{3}{9}[/tex]

[tex]< RSU = 18.435^{0}[/tex]

Angle addition postulate:

<RST = <RSU + <TSU

[tex]90^{0} =18.435^{0} + < TSU[/tex]

[tex]< TSU =71.565^{0}[/tex]

[tex]cos( < TSU) = \frac{\overline S \overline U }{\overline S \overline T}[/tex]

[tex]cos(71.565^{0})=\frac{9}{y}[/tex]

[tex]y=9\sqrt{10}[/tex]

Value of x is 27 and value of y is [tex]9\sqrt{10}[/tex].

Find out more information about angle addition postulate here

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Related Questions

Can someone help me on this please

Answers

Answer:

x = 2

Step-by-step explanation:

[tex]( \frac{7 - 4}{9} )x = \frac{3}{12} + \frac{5}{12} \\ \frac{x}{3} = \frac{2}{3} \\ x = 2[/tex]

And these questions

Answers

Answer:

17) 250 km²

18) never

19) sometimes

20) 288 in³

Step-by-step explanation:

17)

this polygon can be seen as the combination of two shapes : a 16×13 rectangle on top, and a right-angled triangle at the bottom.

this triangle has the side lengths

15 km

(16 - 10) = 6 km

(27 - 13) = 14 km

the total area is the area of the rectangle plus the area of the triangle.

the area of the rectangle (length×width)

Ar = 16×13 = 208 km²

the area of the triangle (baseline×height/2)

since it is a right-angled triangle, we use one side of the 90 degree angle as baseline and the other as height

At = 6×14/2 = 3×14 = 42 km²

so the total area of the polygon

Ap = Ar + At = 208 + 42 = 250 km²

18) the first quadrant is the area between the right (positive) side of the x axis and the upper (positive) part of the y axis. all points here have always and only positive x and y values. never any negative ones.

19) when a point is on the x-axis, well, left of point 0 on the x -axis are only negative values of x. and right of point 0 of the x-axis are only positive values of x. so, for some of these points the x value is positive, and for some it is negative. therefore "sometimes".

20) the volume of a box is length×width×height.

V = 8×3×12 = 24×12 = 288 in³

Find cos A and cot B exactly if a = 15 and b = 11.

Answers

Answer:

D. 15/√346

Hope this helps! Have a nice day :)!

find the difference 25 - (-3) =

Answers

Answer:

28

Step-by-step explanation:

Subtracting a negative is like adding

25 - -3

25+3

28

Answer:

28

Step-by-step explanation: Not sure about this, but technically the question is written wrong. The "difference" is a form of subtraction, and if you simplify your question you get a question to do with addition.

25-(-3)

= 25+3   (since negative and negative makes positive)

=28

PS  Again, not sure about this question.

Is the following number rational or irrational?
0.7
Choose 1 answer:
Rational
Irrational

Answers

Correct answer:
Rational Number

Correct answer gets 5 star

Answers

Answer:

A. The function is Nonlinear.

summer school is over, and I'm feeling self-destructive. Take all of my points and have a good night. 1/3

Answers

Answer:

Thanks for the points... dude.....

This the second time but thank you

Can someone answer any of these with working out?

Answers

Answer:

sorry I don't know

sorry I Don't know

môt lâm trường lập kế hoạch trồng 1 số ha rừng, theo đó mỗi tuần lâm trường phải trồng 15ha. Trên thực tế nhờ cải tiến kĩ tuật, lâm trường đã trồng được 20ha mỗi tuần. Do đó, lâm trường khong những đã hoàn thành kế hoạch trước thời hạn 1 tuần mà còn trồng thêm được 5ha rừng. Hỏi theo kế hoạch, lâm trường phải trồng bao nhiêu ha rừng?

Answers

Step-by-step explanation:

mình nghĩ là như vầy. Chúc bạn học tôt :))))

Will Mark brainlest help please please please​

Answers

Answer:

1

Step-by-step explanation:

so, the function is defined as coordinate pairs.

the first coordinate is x (and is the input variable), the second is y (the function result).

a function result is sometimes also called image, as some input information is converted into something else that can then be used, seen, stored, ...

so, the function result = y = 2 and is the result of x²+1.

2 = x² + 1

1 = x²

x = 1

so, 1 is the "pre-image" of 2 for this function. as 2 is the image of 1 under this function.

The quotient of five less than a number and six, is -4

Answers

Answer:

(a-5) / 6 = -4

or

-19

Step-by-step explanation:

(a-5) / 6 = -4

multiply by 6

a - 5 = -24

+5       +5

a = -19

A grain of salt is an example of which geometric figure?

Answers

Answer: point

Step-by-step explanation:

Calculate the correlation coefficient, r, for the data below. Row chart ( (x )(y ) ) row chart ( ( -10 )( 2 ) ) row chart ( ( -8 )( -3 ) ) row chart ( ( -1 )( -15 ) ) row chart ( ( -4 )( -10 ) ) row chart ( ( -6 )( -6 ) ) row chart ( ( -7 )( -5 ) ) row chart ( ( -5 )( -8 ) ) row chart ( ( -3 )( -13 ) ) row chart ( ( -2 )( -14 ) ) row chart ( ( -9 )( -1 ) )

Answers

Answer:

The correlation coefficient is approximately -0.9949

Step-by-step explanation:

The given data is presented as follows;

[tex]\begin{array}{lcl}x&&y\\-10&&2\\-8&&-3\\-1&&-15\\-4&&-10\\-6&&-6\\-7&&-5\\-5&&-8\\-3&&-13\\-2&&-14\\-9&&-1\end{array}[/tex]

The correlation coefficient, r is given as follows;

[tex]r = \dfrac{\sum(x_i - \overline x) \cdot (y_i - \overline y)}{\sqrt{\sum (x_i- \overline x)^2\times \sum (y_i- \overline y)^2 } }[/tex]

From MS Excel, we have;

∑([tex]x_i - \overline x[/tex])·([tex]y_i - \overline y[/tex]) = -155.5

∑([tex]x_i - \overline x[/tex])² = 82.5

∑([tex]y_i - \overline y[/tex])² = 296.1

Therefore, r = -155.5/(√(82.5 × 296.1)) ≈ -0.9949

The correlation coefficient, r ≈ -0.9949

Use the distributive property to write the expression without parentheses.
6(3a-2)

Answers

Answer:

18a - 12

Step-by-step explanation:

6(3a-2)

6*3a - 6*2

18a - 12

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]18a - 12[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying...}}\\\\6(3a-2)\\-----------------\\\rightarrow \text{Distribute the '6' into '3a' and '-2'.}\\\\\rightarrow 6 * 3a = 18a\\\\\rightarrow 6 * -2 = -12\\\\\\\text{Therefore:}\\\\6(3a-2)\rightarrow \boxed{18a - 12}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

how do you solve division easly​

Answers

Answer:

division involves 5 steps:

D Divide

M Multiply

S Subtract

B Bring down

R Repeat or Remainder

Step-by-step explanation: i hope it helped

PLEASE HELPPP

Which statement correctly compares the reading speed of Danika and Kevin?

A. Each hour, Kevin reads 10 fewer pages than Danika.

B. Each hour, Kevin reads 10 pages more than Danika.

C. Each hour, Kevin reads 5 fewer pages than Danika.

D. Each hour, Kevin reads 5 pages more than Danika.​

Answers

Answer:

No.B is correct statement

bral
Explain how to use a graph of the function f(x) to
find (3).

Answers

Finding the value of f(3) just means locating 3 on the x-axis and going up or down from that point until you hit the graph f(x). Whatever the y-value of that point is, is the value of f(3). I hope this makes sense.

Which polynomial is prime?

Answers

Answer:

4x^(3)+2x^(2)+6x+3

Step-by-step explanation:

A polynomial is a combination of terms separated by + or − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms. Polynomial

PLEASE SOMEONE HELP ME WITH #2

Answers

equation : c=£1.25 for example to find out 3 cans : 3c= £1.25x3

Write the equation of the function

Answers

4/1 is the slope so (-2-1/4=x)

If F is the function defined by F(x)=3x−1, find the solution set for F(x)=2.
A. {13}
B. {8}
C. {5}
D. {1}

Answers

Answer:

D. {1}

Step-by-step explanation:

F(x)=3x−1

Let F(x) =2

2 = 3x-1

Add 1 to each side

2+1 = 3x-1+1

3 =3x

Divide by 3

3/3 = 3x/3

1 =x

What the equation for the slope intersection for the graph tue picture that showing ?

Answers

Answer:

Y = -5X +-1

Step-by-step explanation:

x1 y1  x2 y2

-1 4  1 -6

   

(Y2-Y1) (-6)-(4)=   -10  ΔY -10

(X2-X1) (1)-(-1)=    2  ΔX 2

   

slope= -5          

B= -1          

   

Y =-5X +-1    

A survey of 700 people revealed 45% were planning to vote for a political party at the upcoming election. How many people is this?

Answers

Answer 315 people.

Step-by-step explanation:

Answer:

315

Step-by-step explanation:

45% is part of the 700 people who vote for a political party at the upcoming election.

Step 1. Use [tex]\frac{part}{whole} =\frac{part}{whole}[/tex] where 45% is part of the 700 people

Answer: [tex]\frac{45}{100} =\frac{?}{700}[/tex]

Step 2. Divide 45 by 100

Answer: 0.45

Step 3. Multiply it by 700

Answer: 315

so 315 people were planning to vote for a political party

Select the correct answer.
The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number?
ОА
The equation that represents this situation is x-3 = 21. The second number is 24.
ОВ.
The equation that represents this situation is 3x = 21. The second number is 7.
Ос.
The equation that represents this situation is -3x = 21. The second number is -7.
OD.
The equation that represents this situation is -3 + x = 21. The second number is 18.

Answers

nOSE

D

AS

DA

DAS

DA

SD

ADA

SD

Answer:

Oc

Step-by-step explanation:

Oc because product means multiplication and there is a negative sign


Someone help me out please

Answers

Answer:

142.5

Step-by-step explanation:

π×11²×135/360

= 363π/8

= 142.5 (rounded to the nearest tenth)

Answered by GAUTHMATH

( 1,-2), gradient = -3​

Answers

Answer:

if you are required to find the equation of a straight line use the formula y-y1= m (x-x1)

y+2=-3(x-1)

y+2=-3x+3

y= -3x+3-2

y -3x+1

hope this helps

Answer:

y = -3x + 1

Step-by-step explanation:

(y -(-2)) = -3(x-1)

y+ 2 = -3x+ 3

y = -3x + 1

Arrange in descending order 14/13,25/26,8/3​

Answers

26, 25, 14, 13, 8, 3 descending order greatest to least

Find the indicated side of the
triangle.
30°
a = [?]

help please quick

Answers

Answer:

SOH-CAH-TOA

TAN(30) = 3/x

[tex]x=3\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

underoot 27....or 5.3(approx )or 3_/3

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

PLS HELP MY PARENTS R GOING TO HIT ME

Answers

Answer:

There are 104 nickels and 33 quarters

Step-by-step explanation:

Start of with the equation N = 3Q + 5. q is the amt of quarters n is the nickels. Then substitute Q with 33 since that is the amount of quarters and solve the equation for the amount of nickels that there are.

What’s the sum in the diagram, a + b + c =

Answers

Answer:

Answer is 360 degrees

Step-by-step explanation:

The sum of the exterior angles of a triangle is 360°.

Answer: 360 degrees

Step-by-step explanation:

You know that in a triangle is 180 degrees. In the diagram, the figure shows a, b, and c, outside of the triangle. Also, the a, b, and c makes a circle. The circle is 360 degrees, so when you add a, b, and c that will equal 360.

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