Find the value of x and the value of y. 60 30 6

Find The Value Of X And The Value Of Y. 60 30 6

Answers

Answer 1

Answer:

The longest side, which is the opposite side of a right angle is the hypotenuse ( h ).

The opposite is the side opposite the angle involved and it is called the Perpendicular ( p ) .

The adjacent is the side next to the angle involved ( but not the hypotenuse ) and it is called the base ( b )

[tex] \large{ \tt{❃ \: TAKING \: \angle \: \: A \: AS \: A \: ANGLE \: OF \: REFERENCE : }}[/tex]

Here , Perpendicular ( p ) = 6 , hypotenuse = y and now we're going to find the value of y first : We know :

[tex] \large{ \tt{❁ \: sin \: 60 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]

[tex] \large{ \tt{➝ \: \frac{ \sqrt{3} }{2} = \frac{6}{y} }}[/tex]

[tex] \large{ \tt{➝ \sqrt{3}y = 6 \times 2 }}[/tex]

[tex] \large{ \tt{➝ \: \sqrt{3} \: y = 12 }}[/tex]

[tex] \large{ \tt{➝ \: y= \frac{12}{ \sqrt{ 3} } }}[/tex]

[tex] \boxed{ \large{ \tt{➝ y = \: 4 \sqrt{3} }}}[/tex]

[tex] \large{ \tt{❇ \: TAKING \: \angle \: B \: AS \: THE \: ANGLE \: OF \: REFERENCE}} : [/tex]

Here - Perpendicular ( p ) = x , hypotenuse = y = 4 √ 3 and Now , we're gonna find the value of x :

[tex] \large{ \tt{❊ \: sin \: 30 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]

[tex] \large{ \tt{⟶ \: \frac{1}{2} = \frac{x}{4 \sqrt{3} } }}[/tex]

[tex] \large{ \tt{⟶ \: 2x = 4 \sqrt{3} }}[/tex]

[tex] \large{ \tt{⟶ \: x = \frac{4 \sqrt{3} }{2} }}[/tex]

[tex] \boxed{\large{ \tt{⟶ \: x = 2 \sqrt{3} }}}[/tex]

[tex] \boxed{ \large{ \tt{❈ \: OUR \: FINAL \: ANSWER : \boxed{ \tt \: x = 2 \sqrt{3} \: \: y = 4 \sqrt{3} }✓}}}[/tex]

And we're done! Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help ! :)

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Find The Value Of X And The Value Of Y. 60 30 6

Related Questions

which algebraic expressions are polynomials​

Answers

Answer:

last option

Step-by-step explanation:

3.9x3 -4.1x2+7.3

How many miles are equivalent to 800 meters? Round answer to the nearest hundredth.

0.50 miles

1.29 miles

2.62 miles

4.97 miles

Answers

Answer:

0.5miles

Step-by-step explanation:

800meters is 0.497097miles

Round 0.497097miles to the nearest hundredth which would be 0.5 miles.

Can someone help me with this math homework please!

Answers

Answer:

x = 12

Step-by-step explanation:

First we need to add x & 1/4x.

Pretend there's a 1 infront of x, so that the equation looks like:

1x + 1/4x = 15

To combine the two terms, we need to get the 1 to have the same denominator as 1/4, so let's multiply 1 (which is the same as 1/1) by 4/4.

You get 4/4! Substitute that into the equation:

4/4x + 1/4x = 15

Now combine the terms:

(4/4x + 1/4x = 5/4x)

5/4x = 15

Finally, multiply both sides by 4/5 to cancel out the 5/4:

x = 15*4/5

x = 60/5

x = 12

Hope it helps (●'◡'●)

dåså, man på rådets ordförande

Darryl is finding the product of -5y(-4y^3+6y^2-5) Is he correct? If not, what changes should be made?

Answers

Answer:

A. Yes, Darryl’s work is correct.

Step-by-step explanation:

-5y(-4y^3 + 6y^2 -5)

Darryl used distributive property
Where the outside number (-5y) is being multiplied by all of the numbers in parentheses

-5y • -4y^3 = 20y^4

Two negative numbers multiplied makes a positive number and an extra y on -5y makes y^4

-5y • 6y^2 = -30y^3

Since -5y is being multiplied by a positive number, the product becomes negative. Extra y^3 comes from the y in -5

-5y • -5 = 25y

Two negatives are being multiplied causing the product to be a positive number and keeping the variable the same value.

Finally, add all of the results!

20y^4 + -30y^3 + 25y =
20y^4 - 30y^3 + 25y






I would appreciate the help on all of these :)

Answers

Answer:

Pythagoras theorem states that c²=a²+b²

14²=12²+x²

14²-12²=x²

196-144=x²

52=x²

√52=√x²

7.2111025509279785=x

rounded up to the nearest hundredth=7.21

-3 raised to the power 0=

Answers

Given:

The statement is "-3 raised to the power 0".

To find:

The value of the given expression.

Solution:

We know that [tex]a[/tex] raised to the power [tex]b[/tex] can be written as [tex]a^b[/tex].

Any non zero number raised to the power 0 is always 1. It means,

[tex]a^0=1[/tex], where [tex]a\neq 0[/tex].

-3 raised to the power 0 [tex]=(-3)^0[/tex]

                                         [tex]=1[/tex]

Therefore, the value of the given statement is 1.

Can someone help with this?

Answers

Answer:

(a) is 8 x 7 x 3 = 168

(b) is 8 x 7 = 56

(b2) is weird I don't know what it's asking

Answer:

FOR LETTER A

Volume of prism (expression) = Length x Width/Breadth x Height

Volume of prism (expression) = 8 units x 7 units x 3 units = 168 cubic units

FOR LETTER B

Area of the shaded base = 8 x 7 = 56 square units

Volume of prism = Area of the shaded base x Height

Volume of prism = 56 square units x 3 units = 168 cubic units

Step-by-step explanation:

To find the volume of rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.

Volume of rectangular prism = length × width × height

To get the area of the shaded base, when the base is in rectangular shape:

Definition: Area of rectangle is the region occupied by a rectangle within it's four sides or boundaries.

The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area. But in the case of a square, since all the sides are equal, therefore, the area of the square will be equal to the square of side-length.

Area of rectangle = Length × Breadth

A = l × b

Determine which statement or statements are true. If none write “none”.


SOMEONE PLSSSS HELP ME WITH 4-6 THANK YOU SO MUCH!!!! LIFE SAVER!!!!

Answers

Answer:

4. D.

5. C.

6. A.

Step-by-step explanation:

It's just simple ratios... It's been a while since I learned it so I don't really remember how to explain the answers.

4) D
5) C
6) A

hope this helped ! :)

What is important to remember when multiplying radicals?

Answers

Answer:

A radical is basically a fractional exponent and is denoted by the radical sign (√). The expression x2 means to multiply x by itself (x × x), but when you see the expression √x, you're looking for a number that, when multiplied by itself, equals x. Similarly, 3√x means a number that, when multiplied by itself twice, equals x, and so on. Just as you can multiply numbers with the same exponent, you can do the same with radicals, as long as the superscripts in front of the radical signs are the same. For example, you can multiply (√x × √x) to get √(x2), which just equals x, and (3√x × 3√x) to get 3√(x2). However, the expression (√x × 3√x) can't be simplified any further.

Ashvin want to replace the carpet in your living room and hallway with laminate flooring.
Find the total area of the hallway and living room.

Answers

126 Bc it’s a living room

Answer:

I’m sorry but you need to edit this question, it is incomplete.

Step-by-step explanation:

I see nothing, if there is supposed to be an image attached, please i attach it again, tnx!

I could help you though

a square number and a multiple of 3 have a total of 90 what r the 2 numbers

Answers

Hello,

Let's x² the square number

and 3*y the multiple of 3.

[tex]x^2+3y=90\\\\\boxed{y=-\dfrac{1}{3} x^2+30}\\\\[/tex]

2 solutions : for (x,y) as integers : (-6,18) and (6,18)

but one solution for (x²,3y) as integers : (36,54)

help please please i beg​

Answers

Answer:

Ste㏒㏒㏑p-by-step explanation:

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]3^{x}+3^{x+2}=\frac{10}{3} \\=> 3^{x} + 3^{x}*3^{2}= \frac{10}{3} \\\\=> 3^{x} (1+9)=\frac{10}{3} \\=> 3^{x}=\frac{10}{3}:10\\=> 3^{x}=\frac{1}{3} \\ \\=> x=-1[/tex]

Write an equation of the line that passes through the point (4, -5) with slope 2.
a) y+5=-2(x-4)
b) y+5=2(x-4)
c) y-4=-2(x+5)
d) y-4=2(x+5)

Answers

Answer:

y + 5 = 2(x - 4)

Step-by-step explanation:

y + 5 = 2(x - 4)

Choose the appropriate word or phrase from the drop down menu to complete the sentences: The mean of the quantitative variable of interest in the population is called the [ Select ] . The mean of the quantitative variable of interest in the sample is called the [ Select ] . The standard deviation of the quantitative variable of interest in the population is called the [ Select ] . The standard deviation of the quantitative variable of interest in the sample is called the [ Select ] .

Answers

Answer:

1. Population mean

2. Sample mean

3. Population standard deviation

4. Sample standard deviation

Step-by-step explanation:

Required

Complete the gaps

The answer is self-explanatory.

All you need to do in this question is to look for the keywords (mean/standard deviation) and (population/sample).

In addition, the symbol of the parameters are:

1. Population mean [tex]\mu[/tex]

2. Sample mean [tex]\bar x[/tex]

3. Population standard deviation [tex]\sigma[/tex]

4. Sample standard deviation [tex]\sigma_x[/tex]

The length of a rectangle is twice its width the perimiter is 60 ft find its area

Answers

Hello,

let's assume a=the length and b the width.

[tex]\left\{\begin{array}{ccc}a&=&2*b\\2(a+b)&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&2*b\\a+b&=&30\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&2*b\\3b&=&30\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b&=&10\\a&=&20\\\end{array}\right.\\\\\\Area=10*20=200\ (ft^2)\\[/tex]

10 points 2 questions best one get brainliest

Answers

Answer:

9a. GCF: 16. LCM: 960

9b. GCF: 55. LCM: 275

9c. GCF: 24. LCM: 114

9d. GCF: 40. LCM: 600

10a. GCF: 120. LCM: 1440

10b. 10, 2, 5, 20

10c. 2880, 4320, 5760, 7200

A line with a slope of 3 passes through the point (-1, 2).

Write an equation for this line in point-slope form.

Answers

Answer:

Step-by-step explanation:

Slope = m = 3

(x₁ , y₁) = (-1 , 2)

Point slope form: y - y₁ = m(x - x₁)

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

y - 2 = 3(x + 1)

y - 2 = 3*x + 3*1

y - 2 = 3x + 3

    y = 3x + 3 + 2

    y = 3x + 5

4 is added to two-thirds of d

Answers

Answer:

ayan po answer nasa picture po

Step-by-step explanation:

where

x

is the number you are trying to compute the (2/3) rds of

Represents 2/3D+4 in this type of situation

If A = [tex]\left[\begin{array}{ccc}cosx&-sinx\\sinx&cosx\end{array}\right][/tex], then show that [tex](A^{-1} )^{-1}[/tex]

Answers

Given:

The matrix is:

[tex]A=\begin{bmatrix}\cos x&-\sin x\\\sin x&\cos x\end{bmatrix}[/tex]

To show:

[tex](A^{-1})^{-1}=A[/tex]

Solution:

If a matrix is:

[tex]M=\begin{bmatrix}a&b\\c&d\end{bmatrix}[/tex]

Then,

[tex]M^{-1}=\dfrac{1}{ad-bc}\begin{bmatrix}d&-b\\-c&a\end{bmatrix}[/tex]

We have,

[tex]A=\begin{bmatrix}\cos x&-\sin x\\\sin x&\cos x\end{bmatrix}[/tex]

Using the above formula, we get

[tex]A^{-1}=\dfrac{1}{(\cos x)(\cos x)-(-\sin x)(\sin x)}\begin{bmatrix}\cos x&\sin x\\-\sin x&\cos x\end{bmatrix}[/tex]

[tex]A^{-1}=\dfrac{1}{\cos^2x+\sin^2x}\begin{bmatrix}\cos x&\sin x\\-\sin x&\cos x\end{bmatrix}[/tex]

[tex]A^{-1}=\dfrac{1}{1}\begin{bmatrix}\cos x&\sin x\\-\sin x&\cos x\end{bmatrix}[/tex]

[tex]A^{-1}=\begin{bmatrix}\cos x&\sin x\\-\sin x&\cos x\end{bmatrix}[/tex]

Now, the inverse of [tex]A^{-1}[/tex] is:

[tex](A^{-1})^{-1}=\dfrac{1}{(\cos x)(\cos x)-(\sin x)(-\sin x)}\begin{bmatrix}\cos x&-\sin x\\\sin x&\cos x\end{bmatrix}[/tex]

[tex](A^{-1})^{-1}=\dfrac{1}{\cos^2x+\sin^2x}\begin{bmatrix}\cos x&-\sin x\\\sin x&\cos x\end{bmatrix}[/tex]

[tex](A^{-1})^{-1}=\dfrac{1}{1}A[/tex]

[tex](A^{-1})^{-1}=A[/tex]

Hence proved.

Find x and y

Help me please

Answers

Answer:

x = 70     y = 140

Step-by-step explanation:

Apologies if I get any names of vocabulary terms wrong, I never pay much attention to the names.

The central angle measure of an arc is the same as the arc's measure. In this case, y is the central angle and 140 is the arc's measure, so y = 140.

The inscribed angle measure of an arc is 1/2 the arc's measure. An inscribed angle lies on the circle. So 140/2 = 70 = x.

Dorothy earned 840 last week for working 35 hours.is she works 40 hours,how much will she make

Answers

Answer:

960$

Step-by-step explanation:

First you want to find out how much money she makes per hour by doing 840/35. That equals 24, so now you multiply it by the amount of hours for this week. 24*40= 960$.

Hope this helps :D

35 hours = 840
40 hours = ?

840 * 40
➡️ _________
35

➡️ 33,600
_______
35

➡️ 960

Find the HCF of
[tex] 4x {}^{2} y \: and \: 12xy {}^{3} [/tex]

Answers

Answer:

I hope the pic i gave is helpful!!!

If a dairyman has 300 pounds of milk testing 3% butterfat, how many pounds of skimmed milk (with no butterfat) must he
remove to have milk testing 3.6% butterfat?
28.125 pounds
50 pounds
1.8 pounds
NEXT QUESTION
ASK FOR HELP
TURN ITIN

Answers

Answer:

B. 50 pounds

Step-by-step explanation:

Set the equation and solve for x:

300*3/100 = (300 - x)*3.6/100900 = 1080 - 3.6x3.6x = 180x = 180/3.6x = 50 pounds

Correct choice is B

find the size of each of the unknown angles
plz give me solution​

Answers

Answer:

80°

Step-by-step explanation:

See the picture

It should be self-explanatory

The top part of the angle a is:

35° + 165° - 180° = 20°

The bottom part of the angle a is:

180° - 120° = 60°

The measure of angle a is:

20° + 60° = 80°

Firstly, draw a line parallel to UT

Something like in the picture

Now,

a = BNU

Also,

BNU + BNM = 165°

Sort each function into the correct category.

Linear Functions

Quadratic Functions

Exponential Functions

f(x) = 0.45X-1

f(x) = 5

f(x) = 4.5x +18

Rx) = 19x2

f(x) = x² – 3x+4

f(x) = 2x - 6

Answers

Answer:

Linear functions are

f(x) = 0.45 x - 1

f(x) = 5

f(x) = 4.5 x + 18

Quadratic function is

R(x) = 19x^2

Step-by-step explanation:

The linear function is a function in which the degree of function is 1.

So,

f(x) = 0.45 x - 1

f(x) = 5

f(x) = 4.5 x + 18 are the linear functions.

The quadratic function is a function in which the degree of function is 2.

So,

R(x) = 19 x^2 is a quadratic function.

The exponential function is a function which involves the exponents.

Answer:

pic

Step-by-step explanation:

Two dogs run around a circular track 300 m long. One dog runs at a steady rate of 15m per second, the other at a steady rate of 12 m per second. Suppose they'd tart at the same point and time. What is the least number of seconds that will elapse before they are again together at the starting point?

Answers

Answer:

300 seconds

Step-by-step explanation:

The first dog run at v₁ = 15 m/sec     the second one run at  v₂ = 12 m/sec

we know that  d = v*t  then  t  =  d/v

Then the first dog will take  300/ 12  =  25 seconds to make a turn

The second will take   300 / 15   =   20 seconds to make a turn

Then the first dog in 12 turns 12*25 will be at the start point, and so will the second one at the turn 15.

To check  first dog    12 *  25 = 300

And the second dog 15 * 20 = 300

That means that time required for the two dogs to be at the start point together is

300 seconds, in that time the first dog finished the 12 turns, and the second had ended the 15.

Another procedure to solve this problem is as follows:

between  12  m/sec and  15 m/sec   the minimum common multiple  is 300 ( 300 is the smaller number that accept 12 and 15 as factors         12*15 = 300) Then when time arrives at 300 seconds the two dogs will be again in the starting point

Q2: 8,15,22,29,36,............ A sequence of numbers is shown above. a) Find the 10th term of the sequence. *

This is a required question
b) Find the nth term of the sequence. *
c) Which term of the sequence is equal to 260. *

Answers

Answer:

a) 71

b) an = a1 + (n-1)×7

c) the 37th term

Step-by-step explanation:

clearly, an+1 = an + 7

so, any new term is the previous term plus 7.

a1 = 8

and then the sequence goes on. starting with a2 we add 7 every time.

so, for an we added 7 n-1 times to a1. n-1 because for a1 we did not have to add 7.

therefore, the building function of this sequence to calculate the nth term is

an = a1 + (n-1)×7

a10 = a1 + 9×7 = 8 + 63 = 71

and

ax = 260 = a1 + (x-1)×7 = 8 + 7x - 7 = 1 + 7x

259 = 7x

x = 37

=> the 37th term of the sequence is 260

a) 71
b) an = al + (n +1) x 7
c) 37th term

Question 5 (Multiple Choice Worth 4 points)
(02.07)Two similar triangles are shown below:
5
6
2.5
9
4
Which two sets of angles are corresponding angles?
O

O zp and Zs; zq and er
O zp and Zt; 29 and us
O zp and Zt; 29 and 2

Answers

Answer: ∠p and ∠s, ∠q and ∠r

Step-by-step explanation:

From the lines on the angles indicate which ones are corresponding, for example angles p and s both have 2 lines, while angles q and r both have one line.

The sets of angles are corresponding angles are; ∠p and ∠s, ∠q and ∠r

What are corresponding angles?

It can be defined as, corresponding means pair wise angles. Like the right corner angles of two triangles etc. But usually we take them as:

For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.

From the lines on the angles indicate which ones are corresponding, for example angles p and s both have 2 lines, while angles q and r both have one line.

We can conclude the sets of angles that are corresponding angles;

∠p and ∠s, ∠q and ∠r

Learn more about  angles here:

https://brainly.com/question/2882938

#SPJ1

h(x) = -4x – 7, when x = 3:

Answers

h(3) = -4(3)-7
h(3)= -12-7
h(3)= -19
.•. h(3) = -19

Answer:

h(x) = -4 x –7

h(3) = -4(3) —7

h(3) = –12 –7

h(3) = – 19

a hard one, help me out!

Answers

Answer:

It is the last one: (4x-9)(x+8)

Step-by-step explanation:

You have to split the "b", or split the 23x so that you can perform grouping, and then combine.

Answer:

(4x-9)(x+8)is the correct answer

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