find thd length of the missing sides​

Find Thd Length Of The Missing Sides

Answers

Answer 1

Answer:

x = 4[tex]\sqrt{3}[/tex] , y = 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The ratio of the sides of a 30- 60- 90 triangle are

x : x[tex]\sqrt{3}[/tex] : 2x

From the diagram

x[tex]\sqrt{3}[/tex] = 12 ( divide both sides by [tex]\sqrt{3}[/tex] )

x = [tex]\frac{12}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ( rationalising the denominator )

  = [tex]\frac{12\sqrt{3} }{3}[/tex]

x = 4[tex]\sqrt{3}[/tex]

Then

y = 2x = 2 × 4[tex]\sqrt{3}[/tex] = 8[tex]\sqrt{3}[/tex]

 

Answer 2

The approximate values of x and y are 4√3 and 8√3, respectively.

Given is a right triangle with base = x and the hypotenuse = y and the perpendicular side is 12, the acute angle between the base and the perpendicular side is 60°.

We need to find the value of x and y,

So, to find the value of x and y, we will use the concept of trigonometric ratios,

So, we know,

Sin = perpendicular / hypotenuse

Cos = base / hypotenuse

Tan = perpendicular / base

Let's denote the acute angle between the base and the perpendicular side as θ.

Angle θ = 60°

Using the sine ratio, we can write:

Sin(60°) = 12 / y

√3/2 = 12 / y

Cross-multiplying, we get:

√3 × y = 2 × 12

√3 × y = 24

y = 24 / √3

y = 8√3

To find the value of x, we can use the cosine ratio.

Cos(60°) = x / y

1/2 = x / 8√3

Cross-multiplying, we get:

2x = 8√3

x = 4√3

Hence, the value of x and y are:

x = 4√3

y = 8√3

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Related Questions

Before soccer practice, Laura warms up by jogging around the outside of the entire soccer field. The field measures 80 meters by 120 meters.

Answers

I am assuming you’re looking for the perimeter. The perimeter is 2L + 2W = P. If we plug in our numbers, we get 2(80) + 2(120) = 400. The answer is 400 meters.

What is an equation of the line that passes through the point (-5,-4) and is
perpendicular to the line 53 + 6y = 36?
Answer:
Submit Answer
attempt 1 out of 2

Answers

Answer:

6,25

Step-by-step explanation:

An ice-making machine needs to be switched on
for 10 minutes before the production of ice begins.
The mass, in tờnnes, of ice produced is directly
proportional to the number of hours of production.
Given that 20 tonnes ofâce are produced when the
machine runs for half an hour, find the mass of ice
manufactured when the machine runs for
1.75 hours

Answers

Since the question explicitly stated that ice production is proportional to time, we're going to have to use proportion fractions. Remember to convert hours into minutes as well.

3. Which word phrase can be used to represent the algebraic expression 4(21+ n)? (2 point) 4 plus the sumn of 21 and a number » O4 times the product of 21 and a number » ne the sum of 21 and a number x 4 less than the sum of 21 and a number : O4 timeſ the​

Answers

Answer:

4 times the sum of 21 and a number

Step-by-step explanation:

4(21+ n)

The four is being multiplied by the sum of 21 and n

Please hurry I will mark you brainliest

What is the value of p in the equation of the line px + 2y + 8 = 0, so that the x-intercept is 4?

Answers

Answer:

p = -2

Step-by-step explanation:

px + 2y + 8 = 0

px + 2y  = -8

p(4)    = -8

p = -2

The answer above me is correct

The vertex is 2,-4 what is the parabola equation

Answers

Answer:

y + 4 = (x - 2)^2

Step-by-step explanation:

The vertex form of the equation of a vertical parabola is

y - k = a(x - h)^2, where (h, k) represents the vertex and a is a scaling factor which stretches or compresses the parabola vertically.  If all we know is the vertex (2, -4), then the desired equation is:

y + 4 = a(x - 2)^2

If there is no vertical stretching or compression, then the equation becomes:

y + 4 = (x - 2)^2

Answer:

y = x² - 4x

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (2, - 4) , with a = 1 , the equation is

y = (x - 2)² - 4 ← expand using FOIL

 = x² - 4x + 4 - 4

y = x² - 4x ← equation of parabola

Find the volume of a cone with a
radius of 10 and a height of 7. Use 3.14 for n and
round the answer to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

Volume of a cone formula is

[tex]V=\frac{1}{3}\pi r^2h[/tex] where r is radius and h is height. Filling in:

[tex]V=\frac{1}{3}(3.14)(10)^2(7)[/tex] and doing all the math on that and rounding gives us

V = 733 units cubed

A square has the same area as a rectangle whose
longer side is 2 times the length of its shorter
side. If the perimeter of the rectangle is 24, what
is the perimeter of the square?

A) 8 √2
B)16 √2
C)32 √2
D)32

Answers

Answer:

C) 32 * 2**1/2

Step-by-step explanation:

For rectangle P = L + W = 24 but L = 2W so

2W + W = 24

3W = 24

W = 8 and L = 2W = 16

A = L * W = 16 * 8 = 128

SO for the square with the same area

A = L * L = 128

L**2 = 128

L = 8 * 2**1/2

P = 4L = 32 * 2**1/2

What is the value of the expression 53.5-5? please explain ​

Answers

48.5 is the answer.
Reason- an expression is an equation without an equal sign and this expression is saying 53.5 - 5.

Answer:

48.5

Step-by-step explanation:

53.5

-  5.0

48.5

5 tenths - 0 tenths = 5 tenths (.5)

3 minus 5, three smaller than 5 so BORROW 10 13 -5 = 8 (8)

the 5 in the tens position becomes a four because one got "borrowed"

4 - 0 = 4 (4)

48.5 is the result

(y+2)(y^2-2y+4) ..........................

Answers

You can use the distributive property to multiply:

( y )( y² - 2y + 4 ) + ( 2 )( y² - 2y + 4) =

y³ - 2y² + 4y + 2y² - 4y + 8 =

y³ + 8

The -2y² and the 2y² cancel each other, and the 4y and -4y cancel each other out!

The answer is y^3 +8

A pizza parlor offers 4 different pizza toppings. How many different kinds of 2-topping pizzas are available?

Answers

Answer:

you need to be more specific.

Step-by-step explanation:

How are a desert and a tundra similar?

A. They both have high levels of precipitation.
B. They have many trees and a lot of vegetation.
C. They have high average temperatures.
D. They have low humidity and low levels of precipitation.

Answers

Answer:

D is right option

Step-by-step explanation:

Similarities:

Both the biomes experience less precipitation due to this they have a less diversity of flora and fauna as compared to other biomes like savanna, grasslands, chaparral etc. Let us see how they differ from each other!

Low rain fall _ annual rainfal of lessthan 20cm in deserts, 15-20cm in tundra

Minimal life_ only small shurbs can survive in both kind of environments

Poor drainage.. In deserts, though sandy soil may seem much porous, these are most flood prone areas of world. The tundra is characterised by permafrost soils ie, under the thin layer of soil, a thick ice sheet is present and hence is no seepage.

High range of temperatures: In tundra, the maximum temperatures are recorded in summer (abt 10^C) and minimum during winter(-20 to -30^C). While, in desert too, the temperature range is high but diurnally ie, nights are too cold and day time is scorching.

Which situation is best represented using a negative integer?

Answers

The answer is A (a mountain climber descending a mountain. This sis the answer because it is the only option with a decrease. When something decreases, a negative value (a number) represents the amount it decreased

Answer:

a

Step-by-step explanation:

A marina is in the shape of a coordinate grid. Boat A is docked at (2.4, -3) and Boat B is docked at (-3.4, -3). The boats are ___ units apart.
A 5.8
B 6.4
C 8.8
D 9.4

Answers

Answer:

A. 5.8

Step-by-step explanation:

For this type of question, we are asked to find out the distance between the boats.

By doing this we need to use the distance formula

See below.

Find the length of the arc.

Answers

radius=r=7inAngle=135°

We know

Length if arc=L

[tex]\boxed{\sf L=\dfrac{\theta}{360}\times 2πr}[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{135}{360}\times2π(7)[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{27}{72}\times 14π[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{27}{36}\times 14π[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{9}{12}\times 7π[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{63π}{12}[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{21π}{4}in[/tex]

express 40% of a right angle into radian measure​

Answers

40% of a right angle into radian measure​ will be π/5.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

40% of a right angle.

We know that the right angle given in the form of radian will be as π / 2.

Then the 40% of the right angle will be given as,

⇒ 40% of π/2

⇒ 0.40 × π/2

⇒ 2/5 × π/2

⇒ π/5

40% of a right angle into radian measure​ will be π/5.

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find the distance between (3,3) and (3,4)​

Answers

Answer:

1

Step-by-step explanation:

√(4-3²+(3-3)²

√1¹+0

√1

1

Answer:

1 unit

Step-by-step explanation:

Since x- coordinates are same, the distance is the difference of the y-coordinates:

4 - 3 = 1

What is the solution to this equation?
6(x - 3) = 3x + 9
OA.X-1
OB.X=9
OC.X=3
OD X=-3
NO WRONG ANSWERS ILL REPORT YOUR ANSWER

Answers

6(x-3)=3x+9

6x-18=3x+9

6x-3x=18+9

3x=27

x=27 ÷3

x=9

Hope this will help you

The solution is x = 9, which is an option (B).

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Let's simplify the equation by distributing 6 on the left-hand side:

6x - 18 = 3x + 9

Now, let's isolate the x terms on one side and the constant terms on the other side:

6x - 3x = 9 + 18

3x = 27

x = 9

Therefore, the solution to the equation 6(x - 3) = 3x + 9 is x = 9, which is option B.

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complete by using the distributive property (y+3)(y+3)(y+3)​

Answers

Answer:

y^3+9y^2+27y+27

Step-by-step explanation:

Step 1: Start by understanding FOIL. First. Outer. Inner. Last.

Step 2: In this case we have three sets of parenthesis not 2. So we have to do the same thing but multiply 2 (y+3) sets by y and 3 instead of only multiplying y and 3 by one set.

Step 3: So we get y^3+6y^2+9y+3y^2+18y+27.

This simplifies to y^3+9y^2+27y+27

Yet another Calculus question...

This time, it's about integrals/antiderivatives. The question asks to find the value of [tex]\int\limits^6_0 {[g(x)+2]} \, dx[/tex]. Since the derivative of 2 is 0, can I directly find [tex]\int\limits^6_0 {g(x)} \, dx[/tex]? Thanks in advance!

Answers

Answer:

[tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 32[/tex]

General Formulas and Concepts:

Calculus

Integration

Integrals

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^6_0 {g(x)} \, dx = 20[/tex]

[tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx[/tex]

Step 2: Integrate

[Integral] Rewrite [Integration Property - Addition/Subtraction]:               [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = \int\limits^6_0 {g(x)} \, dx + \int\limits^6_0 {2} \, dx[/tex][2nd Integral] Rewrite [Integration Property - Multiplied Constant]:         [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = \int\limits^6_0 {g(x)} \, dx + 2\int\limits^6_0 {} \, dx[/tex][1st Integral] Substitute in value:                                                                   [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 20 + 2\int\limits^6_0 {} \, dx[/tex][Integral] Reverse Power Rule:                                                                     [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 20 + 2(x) \bigg| \limits^6_0[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:           [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 20 + 2(6)[/tex]Simplify:                                                                                                         [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 32[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Answer:

32

(I think I remember your other information correctly.)

Step-by-step explanation:

I think you said you were given

*Integral from x=-5 to x=0 of g was -14

*Integral from x=-5 to x=6 of g was 6

Asked to find integral( g(x) + 2 , from x=0 to x=6)

Yes this can be split into two integrals:

Integral(g(x), x=0 to x=6) + Integral(2, x=0 to x=6)

The last integral is easier... the antiderivative or 2 is 2x. So evaluate 2x as the limits and subtract. Always plug in the top limit first. 2(6)-2(0)=12-0=12

Let's start with the bigger interval from x=-5 to x=6 which was 6... and since we want to get rid of the interval from x=-5 to x=0 to find the integral of g from x=0 to 6, all we must do is do 6-(-14)=20.

Integral( g(x) + 2 , from x=0 to x=6)

=

Integral(g(x), x=0 to x=6) + Integral(2, x=0 to x=6)

=

20+12

=

32

Please hurry I will mark you brainliest

Answers

Answer:

D y=2/3 x +1

  y= -3/2 x+2

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

The equations are written in slope intercept form

y = mx+b where m is the slope

A 1/5* 5 = 1  not perpendicular

B 2/3 * 3/2 = 1  not perpendicular

C -1/5 * -5 = 1  not perpendicular

D 2/3 * - 3/2 = -1   perpendicular

uhhhh try using caculator

A) 60° B) 85° C) 96° D) 40°​

Answers

Answer:

A)60°

Step-by-step explanation:

a straight line is 180° then

if a line bisect it in to a half it become 90°

then

the exterior angle of a triangle is equal to the sum of two interior angles

this means 150°-90°=60°

Answer: A) 60

Step-by-step explanation:

The line at the top signifies 180 degrees, as does any straight line. The 150° that intersects with P tells you that P must be 30 degrees, as 180 - 150 = 30.

The three angles of a triangle must always equal 180°. Angle R tells you that it’s 90°, shown by the square instead of a curve. If you subtract the value of P we found before, and the value of R we just found, you get your answer.

180 - 30 - 90 = 60.

Select the correct statement which describes the multiplicative relationship between two equivalent ratios.

A The ratios
5
16
and
32
10
are equivalent. Each term in
32
10
is two times the corresponding term in
5
16
.
B The ratios
16
5
and
10
32
are equivalent. Each term in
10
32
is four times the corresponding term in
16
5
.
C The ratios
16
5
and
32
10
are equivalent. Each term in
32
10
is two times the corresponding term in
16
5
.
D The ratios
16
5
and
32
15
are equivalent. Each term in
32
15
is four times the corresponding term in
16
5
.

Answers

Answer:

A

Step-by-step explanation:

On a survey, 6 students reported how many minutes it takes them to travel to school. Here are their responses.

Find the mean travel time for these students.

4, 11, 14, 9, 4, 8

Answers

The mean would be 8.33

Help please, area of a triangle

Answers

Answer:

84 ft^2.

Step-by-step explanation:

Use Pythagoras to find the value of h:

25^2 = h^2 + 7^2

h^2 = (25-7)(25+7)

h^2 = 576

h = √576 = 24

Area  = 1/2 * 7 * 24

= 84.


If f(x) = 6/x-1
for what value of x does f(x) = 5 ?

Answers

Answer:

11/5

Step-by-step explanation:

f(x) = 6/x-1

f(x) = 5

6/x-1 = 5

=> 6 = 5(x-1)

=> 6 = 5x - 5

=> 11 = 5x

=> 5x = 11

=> x = 11/5

(Will give brainliest)
A candy company claims that their bags of jellybeans have a mean weight of 9.45 oz. 125 randomly chosen bags of jellybeans were sampled, and it was discovered that their mean weight was 9.68 oz, with a standard deviation of 1.23 oz. Test this hypothesis using a 99% confidence level.
A- Reject the null hypothesis. There is not enough evidence to oppose the company's claim.
B- Reject the null hypothesis. There is enough evidence to oppose the company's claim.
C- Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.
D- Fail to reject the null hypothesis. There is enough evidence to oppose the company's claim.

Answers

Answer: C- Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.

Note: I'm not sure this is correct o_O

I used a graphing calculator and calculated the t-interval of the jellybean sample using a 99% confidence level:

tInterval 9.68,1.23,125,0.99

It resulted in 9.68 ± 0.287805.

Therefore, we're 99% confident that the weight number of jellybeans would lie between 9.3922 oz and 9.9678 oz.

A weight of 9.45 oz lies within this range, therefore, it is possible that the candy company's claim is true.

Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Mean weight was 9.68 oz

standard deviation of 1.23 oz

n=125

µₙ=9.68

σₙ=1.23/√125

=0.11

Confidence level 99%

z=2.58

-z<x-µₙ/σₙ<z

9.68-2.58(0.11)<x<9.68+2.58(0.11)

9.3962<x<9.9638

9.45 is between this range

Fail to reject the null hypothesis. There is not enough evidence to oppose the companys claim.

Hence, Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.

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The sequence shown below is defined using a recursion formula. Write the first four terms of the sequence.
a1=10 and an-1+3 for n is greater than and equal to 2

Answers

Answer:  10, 13, 16, 19

Explanation:

The notation [tex]a_1 = 10[/tex] says that the first term is 10.

The notation [tex]a_n = a_{n-1}+3[/tex] is the recursive rule that says "to find the nth term, we add 3 to the previous term". So we add 3 to each term to get the next one.

first = 10second = first+3 = 10+3 = 13third = second+3 = 13+3 = 16fourth = third + 3 = 16+3 = 19

This sequence is arithmetic due to the common difference d = 3.

Answer:

Step-by-step explanation:

a1=10

a_{n}=a_{n-1}+3

n=2

[tex]a_{2}=a_{1}+3=10+3=13\\n=3\\a_{3}=a_{2}+3=13+3=16\\n=4\\a_{4}=a_{3}+3=16+3=19\\first~four~terms~are\\10,13,16,19[/tex]

Luke is swimming in still water at a constant speed of 3 meters/second.
If you graph this relationship with time along the x-axis and distance along the y-axis, the slope of the line representing this relationship is
.

A point on this line that corresponds to the distance Luke swam in 45 seconds is

Answers

Answer:

1. velocity

Step-by-step explanation:

that is the answer above

NEED ASAP!!!

In this figure, AB || CD and m/_3=120
What is m/_6?
Enter your answer in the box​

Answers

Answer:

m/_6=60

Step-by-step explanation:

angles 3 and 6 are same side interior angles makeing them suplimentary.

180-/_3=/_6

180-120=60

it works both ways as well!

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