Find the length of side xx in simplest radical form with a rational denominator.

Find The Length Of Side Xx In Simplest Radical Form With A Rational Denominator.

Answers

Answer 1

Answer:

x = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{x}[/tex]  = [tex]\frac{1}{2}[/tex] ( cross- multiply )

x = 2[tex]\sqrt{2}[/tex]

Answer 2

Answer:

Solution given:

Relationship between perpendicular and hypotenuse is given by sin angle

Sin 30°=opposite/hypotenuse

½=[tex]\frac{\sqrt{2}}{x}[/tex]

x=2*[tex]\sqrt{2}[/tex]

The value of x is 2[tex]\sqrt{2}[/tex]


Related Questions

If you added 74 and 5/8, would the answer be more than 12, less than 12, or
exactly 12? How do you know?

Answers

Answer:

more than 12

Step-by-step explanation:

because one of the numbers is already larger than 12

In the coordinate plane, two vertices of square ABCD are A (0, 0) and B (0, m). What are the coordinates of points C and D? Do not introduce any new variables.

Answers

Answer:

The coordinate of point C is (m,m) and the coordinate of point D is (m,0).

Step-by-step explanation:

Square:

In a square, all sides have the same length.

A (0, 0) and B (0, m).

This means that the length of the sides is m.

So:

From A, adding m vertically, we get point (0,m), which is B.

From A, adding m horizontally, we get point (m,0), which I will call D.

From B, adding m horizontally, we get point (m,m), which I will call C.

The coordinate of point C is (m,m) and the coordinate of point D is (m,0).

Find the length of PL


A. 23
B. 19
C. 30
D. 46

Answers

The answer is B) 19.

work out 1 2/3 x 1 1/5
pls give the full answer with working out

{NOTE:the 2/3 and the 1/5 are fractions and the 1's are the whole numbers}

Answers

Answer:

5/3*1/5= 1/3

Step-by-step explanation:

change the mixed fraction into improper fraction which is 1*3+2=5

then multiply

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

X would be 63.9

Hope it helps

Step-by-step explanation:

The value of the variable 'x' using the cosine formula will be 63.9 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of 'x' is given by the cosine of the angle ∠QSR. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have

cos 35° = x / 78

x = 63.9

The value of the variable 'x' using the cosine formula will be 63.9 units.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ7

write the expression that represents the phrase: the quotient of 10 and x

Answers

Answer:

Step-by-step explanation:

[tex]Quotient \ of \ 10 \ and \ x = 10 \div x[/tex]

I need help ASAP !!!!

Answers

Answer:

{-4,2,6,9}

Step-by-step explanation:

Mathematically, the domain refers to the possible x-values

what this mean in the relation view are the values listed in the left ellipse

So we have the domain as;

{-4,2,6,9}

A 90 % confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. the interval was ($133, 306, $150, 733). To make useful inferences from the data, it is desired to reduce the width of the confidence interval. Which of the following will result in a reduced interval width?
A) Increase the sample size and increase the confidence level.
B) Decrease the sample size and increase the confidence level.
C) Decrease the sample size and decrease the confidence level.
D) Increase the sample size and decrease the confidence level.

Answers

Answer: D) Increase the sample size and decrease the confidence level.

Step-by-step explanation:

A reduced interval width means that the data is more accurate. This can only be achieved if the sample size is increased because a larger sample size is able to capture more of the characteristics of the variables being tested.

A smaller confidence interval will also lead to a reduced interval width because it means that the chances of the prediction being correct have increased.

Solvex - 7x - 34 = 10 halo pls helppppppp

Answers

Answer:

x-7x-34=10

-6x-34=10

Step-by-step explanation:

x=-22/3

x - 7x - 34 = 10
-6x - 34 = 10
-6x = 10 + 34
-6x = 44
x = -22/3

Find the value of `x´ in the given parrallelogram.​

Answers

X=9

3x-12=x+6
2x-12=6
2x=18
X=9
The value of x is 9 cm in the given parrallelogram.

Step-by-step explanation:

=> (3x-12) =(x+6)

or,3x - x = 6 + 12

or,2x = 18

or,x = 18/2

: x=9#

solve the equation 4x-|-2|=18

Answers

x=5 hope this helps

Does anyone know how to solve these?

Answers

remember the slope= rise/run. so for the first graph, there are coordinates (0,5) and (2,3). so the rise = 3-5=-2 and the run=2-0=2 so the slope=-2/2=-1. and since the equation for a line is y=mx+ b, where m is the slope and b is the y intercept, the answer is y=-x+5

then just do the same process with the other question to get y=(2/5)x-3

Answer:

1st graph: slope is -1 and equation is y=-x+5

2nd graph: slope is 2/5 and equation is y=2/5x-3

Step-by-step explanation:

y=mx+b is slope-intercept form.

It's call that because this forn tells us the slope,m, and the y-intercept,b.

The first graph you have identified b as 5 since you said the y-intercept was (0,5).

Now we just find slope by finding rise/run.

(0,5) is marked and we see another point has been marked, I will start at (0,5) go down 2 and right 2. This means rise=-2 and run=2 which means the slope=-2/2 and that reduces to -1.

The equation for first graph is y=-1x+5 or y=-x+5.

So again you have no problem identifying the y-intercept which is b=-3.

Now just count the rise/run to the other point. Starting at y-intercept we have to go up 2 and right 5 to get to the other point so m=2/5.

A can of cashews mixed with almonds costs $24.60. Cashews cost $4.25//lb and almonds cost $3.80/lb. There are twice as many cashews as almonds in the can. How many pounds of each type are in the can?

Answers

Answer: 2 and 4 lb

Step-by-step explanation:

Given

There are twice as many cashews as almonds in the can

Cashews costs [tex]\$4.25\ lb[/tex]

Almonds costs [tex]\$3.80\ lb[/tex]

Can costs $24.60

Suppose there are x lb almonds, so there is 2x lb cashews

[tex]\Rightarrow (2x)4.25+x\cdot 3.80=24.60\\\Rightarrow 8.5x+3.8x=24.60\\\Rightarrow 12.3x=24.60\\\Rightarrow x=2\ lb[/tex]

Amount of cashews =4 lb

Amount of almonds =2 lb

in the diagram below,RQ is parallel to ST. ST =4cm RP =10cm PT = 5cm a.find,. i.the scale factor. ii.|RQ|. b.if the area of ∆PRQ is 80 cm find the area of triangle ∆PST.​

Answers

Answer:

us7e7eoeod8rr8r88rr8 fnddkdkiduduru

Scale factor is 1/2. and, Area of PST = 20cm^2

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

we get in the diagram below, RQ is parallel to ST.

ST =4cm

RP =10cm

PT = 5cm

Now, PRQ is larger than PTS

i.e. the scale factor = 5/10

                                =1/2

And, |RQ|= ST*2

               =4*2

               =8

Now, area of PRQ =80cm^2

so, area of PST = 80*1/2^2

                          =80*1/4

                          =20cm^2

Hence, Scale factor is 1/2., Area of PST = 20cm^2.

To learn more on triangle click:

brainly.com/question/29126067

#SPJ2

how many meters are there in 50 foots​

Answers

Answer:

15.24m

Step-by-step explanation:

1-foot=0,304m then 50-foot=0,304*50=15,2 m

WOrth 10 pts ... pls help

Answers

With what give more detail and explanation and I’ll help

find the value of x in each case

Answers

Step-by-step explanation:

180-(90° +32°)

180- 122= 58

triangle =180°

180° - (58° +58°)

180° - 116°= 64°

Answer:

x=64

Step-by-step explanation:

∠A = 180-(90°+32°)

=> ∠A=180-122= 58

Angle sum property in Triangle=180°

=> x = 180° - (58°+58°)

=> x = 180° - 116°= 64°

Complete the equation: 2^2 – 14x + __ = (_)^2

A. –14; 2 + 14
B. -14; 2 – 14
C. 49; 2 +7
D. 49; r - 7

Answers

The answer is d becuase 4-14x+49= (2x-7) to the power of 2 but i think u wrote r wrong and u meant 2 -7

Mr. Lord borrowed $100,000 from a bank at a rate of 8% per annum for 3 years. Calculate the amount accruing for the loan

Answers

Answer: [tex]\$125,971.2[/tex]

Step-by-step explanation:

Given

Principal amount [tex]P=\$100,000[/tex]

Rate of interest [tex]r=8\%[/tex]

Time period [tex]t=3\ yr[/tex]

Amount in compound interest is given by

[tex]\Rightarrow A=P\left(1+r\%\right)^t\\\Rightarrow A=100,000(1+0.08)^3\\\Rightarrow A=\$125,971.2[/tex]

Thus, the amount accruing for loan is [tex]\$125,971.2[/tex]

Which of the statements proves that the lines a and b are parallel?

Answers

Answer:

C

Step-by-step explanation:

1,2 are both supplementary

Simplify this expression:
-(x+2)+4

i have no idea im not good with math ;(

Answers

ANSWER :

- ( x+ 2 ) + 4

-x - 2 + 4

-x + 2

Answer:

−x+2

Step-by-step explanation:

-(x+2)+4 Distribute the negative sign (-) outside of the parenthesis with x and 2 and that will turn into -x-2+4.

Add -2 and 4 and that will turn into -x+2.

Helpppp ,I will mark you brainlist

Answers

Answer:

Okay

Step-by-step explanation:

So the answer would be the one under 3 or C . 10 rebounds 20 points 40 points

Find the values of x and y.

Answers

Answer:

x=14

y=24

Step-by-step explanation:

4y+42=8y-54

4y-8y=54-42

-4y/4=96/-4

y=24

solving for x

5x-28=7x-56

5x-7x=-56+28

-2x/-2=-28/-2

x=14

Write the equation of the line in Slope-Intercept Form given the information below.


Slope =−7/4


Y-Intercept =5

Answers

Answer:

y = -7/4 x + 5

Step-by-step explanation:

Cinco estudiantes tienen x canicas cada uno. Cuando reúnen todos sus canicas, la cantidad reunida es menor que 45

Answers

The inequality that represents the statement on the number of marbles that the students have is 5x < 45.

What inequality represents the situation?

The five students have x marbles each. This means that they each have the same amount of marbles and to find the total sum, you need to multiple this number by 5:
= 5x

This total is less than 45 however so the inequality will be:

(5 × x ) < 45

5x < 45

Find out more on inequalities at https://brainly.com/question/2501321.

#SPJ1

A fruit punch mixture is made of Orange juice, Pineapple juice, and Cranberry juice in a 3:5:7 ratio. How much of each juice type do you need for a 375 ml mixture?

Answers

Answer: a good amount

Step-by-step explanation:

because if you just get a table spoon for all flavour mixtures then wala they are all the same amount -__-------------i is not smart at all srry

You would get a mixture of a really good smoothie Thankyou for the idea

7x+14
2x2 + x-6
What is the GCF

Answers

i will solve it first i need full form

Answer:

When i tried solving it, there was no GCF except for 1.

However, the GCF of the numerator is 7

Help ASAP
Determine reflections (advanced)
Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D'.

Answers

Answer:

Line that connects points (0,4) to (4,0)

Step-by-step explanation:

Just imagine where you should fold the paper to overlap one figure on another

x/3 + 8 = 23 . Find the value of x

Answers

Answer:

45

Step-by-step explanation:

x/3 + 8 =23

=> x/3 = 23-8

=> x/3 = 15

=> x = 15 x 3

x = 45

Answer:

x=45

Step-by-step explanation:

To find x isolate the variables by using the properties of equality. First, subtract 8 from both sides, [tex]\frac{x}{3} = 15[/tex]. Then multiply both sides by 3, [tex]x=45[/tex]. Finally, to check you can plug 45 back into the equation, [tex]\frac{45}{3} +8=23[/tex]. Next, solve this equation and get 23=23, since this is a true statement 45 is correct.

helppppppppppppppppppppp plzzzzz

Answers

Answer:

B. 16/3

Step-by-step explanation:

f(2) = 1/3 · 4²

f(2) = 1/3 · 16

f(2) = 16/3

Other Questions
Plzzzz HelpThe cost (in dollars) of buying x pounds of a party product is given by the function C(x) = 10x + 300. Suppose, for budgetary reasons; you can't spend more than $2100 on this product. You can spend less, but you have to buy at least 50 pounds. In this situation, what is the domain of this function? 100 points and Brainliest:Read the quote and answer the following questions in complete sentences. 1. What feelings are produced by the image of the grass in lines 1-3?2. Does the imagery of the horse (lines 4-6) inspire sympathy? Explain your answer with direct references to specific images. A perfectly competitive firm a. has a perfectly inelastic demand. b. has a perfectly elastic supply. c. Answers A and B are correct. d. Answers A and C are correct. e. sells a product that has perfect substitutes. What is the length of a diagonal of a square with a side length of 6?A. 3B. VC. 3.12D. 6 My daughter had a quiz today and the 3 questions did not make sense to me. Can anyone decifer how you would solve for the variable on these? I am stumped!!1) In 10 years, Sara will be 81 older than she is now. How old is Sara now? 2) In 8 years, Sara will be 49 years older than she is now. How old is Sara now? 3) In 11 years, Bob will be 100 years than he is now. How old is Bob now? Cyber crime has become a setious problem nowadays .Write its causes and appropriate measures for solution.plz help me Which expressions have the same solution as 4(6)? Select three options.. 4( 6)4( 6)6( 4)8(2)12( 2) Match the description with the correct period of diversity workplace approaches/perspectives, as developed by Harvey.a. an emphasis on the acceptance and celebration of differencesb. a time when the federal government passed a series of landmark equal employment opportunity lawsc. an emphasis on creating inclusive organizations1. Early years of diversity2. Diversity in 21st century 3. Era of valuing diversity como se lee el nmero decimal 0.3 write any two advantages of development activities? The speed limit on parts of the German autobahn was once set at 286 kilometers per hour (km/h). Calculate the speed limit in miles per hour (mph). if 8 out of every 10 high school students take a math class, how many students in a high school with 700 students are in the math class? Cost accumulation is the determination of the dollar amounts of direct materials, direct labor and overhead costs, and cost measurement is the recognition and recording of costs. True False what is the slope of the line plotted below? Please give me a 100% correct answerA ship sailed 30 kilometers in 172 hours. What was its rate in kilometers per hour? (1) 20 (2) 30 (3) 45 (4) 90 (5) Not enough information is given. the establishment of the roman catholic church occurs when ____ In Riverview Middle School, 20% of the students participate in after-school clubs. For every 100 students, how many are in an after-school club?A) 2B) 5C) 20D) 80 Anna and Matthew spent the whole time watching TV. This made their mother dislike.=> Anna and Matthew spent PLS HELP ASAP what is the equation for the line of symmetry for the function below?y-1=-2(x+3)^2A. x=3B. x=-2C.x=-3D.y=7I THINK ITS C BUT IM NOT SURE Trnh by s hnh thnh phn t CCl4 (lai ho sp3)