Find the values of x and y. Write your answer in simplest form.

Find The Values Of X And Y. Write Your Answer In Simplest Form.

Answers

Answer 1

Answer:

y = 6√3 and x = 6

Step-by-step explanation:

this is a 30-60-90 triangle.  The side opposite the 30° angle corresponds to the side of length 1  in the most basic 30-60-90 triangle; the side opp. 60° to the side of length √3; and the hyp. to the side of length 2.

To find y, write and solve an equation of ratios, as follows:

adj side           adj side      (adjacent to the 30° angle)

    y                       √3

 hypo               hypo    then (cross multiplying):  2y = 12√3, and

    12                     2       y = 6√3

If the hypo here is 12 and the adj side (y) is 6√3, then we can use the Pyth. Theorem to find the third side (x):

[12]² = [6√3]² - x²  ↔ 144 = 36(3) - x²   ↔  36 = x².  So x = 6 here.

Answer 2

Answer:

x = 6

y ≈ 10. 40

Step-by-step explanation:

Using the SOHCAHTOA principle we can solve for x and y since the angle is known and it is a right angle triangle.

hypotenuse = 12

adjacent = x

opposite = y

cos 60° = adjacent/hypotenus

cos 60° = x/12

cross multiply

x = 12 cos 60°

x = 12 × 0.5

x = 6

Finding y

sin 60° = opposite/hypotenuse

sin 60° = y/12

cross multiply

y = 12 sin 60°

y  = 12 × 0.8660254038

y =  10.392304845

y ≈ 10. 40


Related Questions

A. What is the name of the 3D shape?
b. What is the formula for total surface area for this shape?
c. What is the surface area of the figure?

Answers

Check the picture below.

so then, let's notice, this triangular prism is really just 2 triangles and 3 rectangles stacked up to each other at the edges.

so if we simply get the area of each of those figures, and sum them up, that'd be the area of the prism.

notice, the triangles have a base of 4 and a height/altitude of 3.

[tex]\bf \stackrel{\textit{2 triangles}}{2\left[ \cfrac{1}{2}(4)(3) \right]}~~+~~\stackrel{\textit{inclined rectangle}}{(5\cdot 11)}~~+~~\stackrel{\textit{ground rectangle}}{(4\cdot 11)}~~+~~\stackrel{\textit{standing rectangle}}{(3\cdot 11)} \\\\\\ 12+55+44+33\implies 67+77\implies 144[/tex]

HELP PLEASE 3 QUESTIONS (30 POINTS)

Answers

Answer:

1.) A

2.) B I Think

3.) B

Answer:

1. a / 2. c / 3. b

Step-by-step explanation:

Find the surface area of a cylinder

Answers

A = 2•3.14•3•8 + 2•3.14•3^2 = 207.34512

Answer:

Surface area = 207.24 in²

Step-by-step explanation:

Remember to always convert the diameter into a radius.

D = 6 in (divide it by two to get the radius) R = 3 in

Radius = 3 in

Formula:

SA = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex]r²

Solution:

SA = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex]r²

SA = 2(3.14)(3)(8) + 2(3.14)(3)

SA = 2(3.14)(3)(8) + 2(3.14)(9)

SA = 150.72 + 56.52

SA = 207.24 in²

Brainliest! To best answer! Better answer fast or no brainliest!
Which of the following is a statistical question?
A.
How many questions are there on Ben's math test?
B.
What are the shoe sizes of players on the soccer team?
C.
How many chocolates did Bertha sell today?
D.
How many students are there in Kathy's class?

Answers

Answer:

B

Step-by-step explanation:

A statistical question has to be a question that can be answered by collecting data that varies.

Answer:

B.   What are the shoe sizes of players on the soccer team?

Step-by-step explanation:

A statistical question is one that can be answered by collecting data and where that data will vary.

We do not need to collect data to determine the number of questions on Ben's math test.

There is no variability in the number of chocolates Bertha sells in one day, nor in the number of students in Kathy's class.

To determine the shoe sizes of players on the soccer team, we must collect the data and the data will vary from player to player.  This is the statistical question.

Janet is 6 years younger than Safiya.How old is each girl if the suk of their ages is 26

Answers

Answer:

20.  26-6=20

Step-by-step explanation:

A quadrilateral has angle measures of 102°, 84°, and 77°. What is the measure of the fourth angle?

Answers

Answer:

Measure of the 4th angle = 360-(102+84+77)

= 360-263

= 97°

Hope this helps!

URGENT EASY 59 POINTS What is the distance between the points (5, 14) and (18, 3)?

Answers

Answer:

[tex]\large\boxed{\sqrt{290}}[/tex]

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points (5, 14) and (18, 3). Substitute:

[tex]d=\sqrt{(18-5)^2+(3-14)^2}=\sqrt{13^2+(-11)^2}=\sqrt{169+121}=\sqrt{290}[/tex]

Answer:

17.03

Step-by-step explanation:

Hope this helped!

the inequality 6-2/3

Answers

16 over 3 is the answer u write the numerator above the denominator 6 over 1 minus 2 over 3 6 times 3 over 1 x3 minus 2 over 3 u get 18 minus 2 over 3 and subtract 18 and 2 u get 16 over 3

Answer:

x>9

Step-by-step explanation:

       

Simplify   2/3

           (6 -  (— • x)) -  (x - 9)  < 0  

        3          

What is the solution to the proportion 8/x = 4/5

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ Since 8/x is two times the size of 4/5, you multiply by 2

4/5=8/10

X=10

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

The perimeter of a square is 76.4m calculate the length of its diagonal

Answers

Answer: About 27.01

Step-by-step explanation: The way to find the diagonal is to multiply one side of the square by the sq. rt. of 2. First, we had to find one side of the square, which would be 76.4 divided by 4, then multiply that by the square root of 2.

76.4 / 4 = 19.1

19.1 x sq. rt. of 2 = 27.0114790413, or about 27.01

Please help?? Thank you very much in advance

Answers

all i can say is the square root of 17 is 4.1 thats all i know

Answer:

C

Step-by-step explanation:

Use the distance formula.

We have the points (0,0) and (8,sqrt17)

This basically means sqrt(8^2+sqrt(17)^2)

Which amounts to

sqrt(64+17)

Which is

sqrt(81)

Which is 9.

lliana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number
of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number
of plants if p= 3?

Answers

Answer:

29

Step-by-step explanation:

if p=3, then as the question asks, we must cube it and add 2.

3 cubed is 27, plus 2 is 29.

T=29

where t is the total number of plants.

or t=(p^3)+2

Answer:

D

Step-by-step explanation:

PLEASE HELP ASAP
Evaluate the expression. 8(12 + 4)0 − 4(8 + 3)0
A) 0
B) 1
C) 2
D) 4

Answers

A I think cuz both are multiplied by 0

The answer is zero because there is a zero that you would have to multiply you sum too

In the coronet plane, what is the length of the line segment that connects points at (5, 4) and (-3, -1)? Enter your answer in the box. Round to the nearest hundredth. ___units

Answers

Answer:

9.43

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points (5, 4) and (-3, -1). Substitute:

[tex]d=\sqrt{(-3-5)^2+(-1-4)^2}=\sqrt{(-8)^2+(-5)^2}=\sqrt{64+25}=\sqrt{89}\approx9.43[/tex]

given 8y — 6x =8 :

A) transform the equation into slope-intercept form.

b) find the slope and y-intercept of the line.

c) what is the slope of a line parallel to this line?

d) what is the slope of a line perpendicular to this line ?

e) find the equation, in point-slope form, of the line that is perpendicular to this line and passes through the point (0,2).

Answers

Answer:

Step-by-step explanation:

A:  slope-intercept form:  Solve 8y — 6x =8 for y, as follows:  8y = 6x + 8, so that y = (3/4)x + 1.

B:  Slope:  3/4; y-intercept:  (0, 1)

C:  Any line parallel to this line has the same slope, namely, 3/4.

D:  Any line perpendicular to this line has a slope that is the negative reciprocal of 3/4; that is, the slope of the perp. line is -4/3.

can someone find the volume of this pyramid?

Answers

Check the picture below.

now, let's notice the triangle on the base.... is an isosceles, two sides are twins, and therefore, the two angles they make out are also twins, so, if the central angle is 100°, the other angles are each 80°/2, namely 40°, therefore, using the law of sines,

[tex]\bf \textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{sin(100^o)}{2.5}=\cfrac{sin(40^o)}{r}\implies r\cdot sin(100^o)=2.5\cdot sin(40^o) \\\\\\ r=\cfrac{2.5\cdot sin(40^o)}{sin(100^o)}\implies \boxed{r\approx 1.63}[/tex]

now, let's notice the shaded triangle, namely the one with 35°, is a right-triangle, namely one angle is 35°, another 90°, so the last one must be 55°.

the opposite side to the 35° is "r", which we know is about 1.63, so again, let's use the law of sines to find the side "h",

[tex]\bf \cfrac{r}{sin(35^o)}=\cfrac{h}{sin(55^o)}\implies r\cdot sin(55^o)=h\cdot sin(35^o) \\\\\\ \cfrac{r\cdot sin(55^o)}{sin(35^o)}=h\implies \cfrac{1.63\cdot sin(55^o)}{sin(35^o)}\approx h\implies \boxed{2.33\approx h} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a circular cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r\approx 1.63\\ h\approx 2.33 \end{cases}\implies V\approx \cfrac{\pi (1.63)^2(2.33)}{3}\implies \blacktriangleright V\approx 6.48 \blacktriangleleft[/tex]

make sure your calculator is in Degree mode.

Type in all the digits of Pi

I have a picture. Type in all of them. Get 30 points.

Answers

Answer:

PI= 3.1415926535897932384624338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058

Pi is a Mathematics constant that represents the ratio of a circle's circumference to its diameter. Its decimal representation is approximately 3.14.

The value of Pi is a mathematical constant that represents the ratio of a circle's circumference to its diameter.

The decimal representation of Pi is approximately 3.14159265358979323846264338327.

However, it is important to note that Pi is an irrational number, which means its decimal representation goes on infinitely without repeating.

Learn more about Mathematics here:

https://brainly.com/question/27235369

#SPJ12

The probable question may be:

Type in all the digits of Pi

I have a picture. Type in all of them. Get 30 points.

A slice of PI

******************

****************

3.14159265358979

323846264338327

95028841971693

9937510582097

 494459230781

  64062862089

   9862803482

     534211706

      79821480

       8651328

        230664

         70938

          4460

           955

            05

             8

dentify the percent, amount, and base in this problem. 75% of what number is 30?

Answers

Answer:

40

Step-by-step explanation:

This is essentially just (4/3), or [tex]\frac{3}{4}^{-1}[/tex]. (4/3)*30 = 40, so our answer must be 40. Just to check, taking 75 percent of 40, we indeed get 30!

For this case we must find a number of which 30 represents 75%. For this, we make a rule of three:

x ------------> 100%

30 ----------> 75%

Where the variable "x" determines the base number of which 30 is 75%

[tex]x = \frac {100 * 30} {75}\\\\[/tex]

[tex]x=40[/tex]

Thus, 30 represents 75% of 40.

Answer:

40

How many oatmeal cookies are @ the party?

Answers

Answer:

15 oatmeal

Step-by-step explanation:

Add by 5 for each one

Answer: 15 Oatmeal Cookies

Step-by-step explanation: 8 Boxes 3 Boxes For Oatmeal Rasian 3x5 = 15

What is the measure of angle 1

Answers

Answer:

86

Step-by-step explanation:

if u add the angle #'s on the INSIDE, itll give 94, since a triangle isnt obtuse, it would have to add up to 180, subtract 94 from 180 and u get the answer :)

hope this helps

Answer:

Angle 2 = 180 -29 -65 = 86

Angle 1 = 180 -86 = 94 degrees

Step-by-step explanation:

What is the coordinate rule for a dilation centered at (0,0) with a scale factor of 3?

15 POINTS

No picture given.

Answers

Answer: (0,0)

Step-by-step explanation:

To find the scale factor of coordinates, you have to multiply the x and y by the scale factor, which is 3.

0 × 3 = 3

0 × 3 = 3

Answer is (0,0)

The rule would be : (x, y) --> (3x, 3y).

Final answer:

The coordinate rule for a dilation centered at (0,0) with a scale factor of 3 is (x', y') = (3x, 3y).

Explanation:

A dilation is a transformation that changes the size of a figure without altering its shape. The coordinate rule for a dilation centered at (0,0) with a scale factor of 3 is given by the equation:

(x', y') = (3x, 3y)

This means that each coordinate of the original figure is multiplied by the scale factor to find the corresponding coordinate of the dilated figure.

Plz help me with it

Answers

Answer:   [tex]\bold{2\sqrt[3]{15} }[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{10} \cdot \sqrt[3]{12} =\sqrt[3]{2\cdot 5\cdot 2\cdot 2\cdot 3} =2\sqrt[3]{3\cdot 5} =\boxed{2\sqrt[3]{15}}[/tex]

Please help me with this math homework ​

Answers

Basically you have to find the graph that goes through the middle of the line or points to it.

I know you can do it! If you have any questions just reply.

Jessica owns a base salary of $150 every week with an additional 40% commission on everything she sells if Jessica is sold $1650 worth of items last week what was her total pay?

Answers

Answer:$2,310

You set up dash equals dash 1,650 over 100% and x over 140% you would then cross multiply and divide. You would multiply 1,650 and 140 which give you 231000 the divide that by 100 and that gives you $2,310

The volume of a cube can be found using the equation V=S3, where V is the volume and Sis the measure of one side of the cube. Match the equation for how to solve for the side length of a cube to its description.

Answers

Answer:

s = ∛729 in³

Step-by-step explanation:

Since the volume is 729 in³, our equation can be plugged into:

729 = s³.

Isolate s by cube rooting each side: ∛729 = s.

he product of ten and a number is greater than the difference of four times the number and two.

Answers

Answer:

You can use 1 as a solution.

Step-by-step explanation:

10 + 1 = 11

1 * 4 = 4

4 - 2 = 2

11 > 2

Please help study island answers plz
if a and b are real numbers and if a>b and b =7 then >_ 8. Which Of the following is a counterexample to the assertion above?
A) a=6.5
B) a = 7.5
C) a= -8.5
D) a=8.1

Answers

Answer:

B

Step-by-step explanation:

if a is greater then b and b=7 and A< 8  7.5 is the only one that fits the description

Option B) a = 7.5 is the correct

The question is asking which option is a counterexample to the assertion that if a and b are real numbers with a > b and b = 7, then a ">=_" 8. To find a counterexample, we need an instance where a is greater than b (which is 7), but a is not greater than or equal to 8.

A) a=6.5 cannot be the correct answer because it is not greater than b. B) a = 7.5 is indeed greater than b=7, but it is less than 8 which makes it the correct counterexample. Both C) a= -8.5 and D) a=8.1 are not counterexamples; the former is less than b, and the latter is greater than 8.

Therefore, option B) a = 7.5 is the correct counterexample because it satisfies the condition a > 7 but does not meet the incorrect assertion that a is also ">=_" 8.

Add. Write your answer as a fraction in simplest form. 9/10 +(− 4/5 )

Answers

Step-by-step explanation:

9/10 + (-4/5)

1. Use the least common denominator (LCD): 10

9/10 + (-8/10)

2. Remove the parentheses:

9/10 - 8/10

3. Simplify:

= 1/10

Hope this Helped!!

~Shane

need help with number 29

Answers

Answer:

9c

Step-by-step explanation:

Collecting like terms

We can do 8-6 which is 2

and then 2 add 7 which is 9

Add c

what is w + 5? I need help!

Answers

5w if it did not give a problem where you could figure out what w is.
It is 5w. 5 add the w.
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