find the missing side lengths​

Find The Missing Side Lengths

Answers

Answer 1
x=6
y=3
if it is a 30-60-90 then the ratio is 1-sqrt3-2 so the side across from the 60 is 3sqrt3 the side across from 30 would be 3 and the side across from 90 would be 6

Related Questions

Classify the following triangle. Check all that apply.
104
O A. Right
O B. Equilateral
O c. Scalene
O D. Isosceles
E. Acute
O F. Obtuse
SUBMIT

Answers

Answer:

isosceles

obtuse

Step-by-step explanation:

We know that one angle is 104 and angles greater than 90 and less than 180 are obtuse

We know that 2 sides are equal indicated by the lines on the sides.  That means the triangle is isosceles

QUICK 20pts!!!! 1. In a certain country, the probability that a baby that is born is a boy is 0.52 and the probably that a baby that is born is a girl is 0.48. A family has two children. If X is the number of girls born to a family, find the probability that the family has 0, 1, or 2 girls. (a) Draw a tree diagram showing the possibilities for each outcome. (b) Create the binomial distribution table for . Show all your work.

Answers

(a) i aint drawing a tree but basically, if left means a boy is born and right means a girl is born, the far left result (both boys) will happen with probability [tex](0.52)^2[/tex], the two middle results (one boy and one girl) will both happen with probablility [tex]0.48 \cdot 0.52[/tex], and the far right result (both girls) will happen with probability [tex](0.48)^2[/tex].

(b) binomial distribution table for what...?

3x + ky = 8
X – 2ky = 5
are simultaneous equations where k is a constant.
Show that x = 3.

Answers

Answer:

3X +ky=8 eqn 1

X-2ky=5 eqn 2

but we want to eliminate ky to get our X.

So let's multiply eqn 1 by 2.

We will have 6x +2ky=16 now eqn 3

now we add eqn 1 and 2

We will have 7x=21

divide by 7

x=3

i’m having trouble with this question. if anyone can answer it would mean a lot

Answers

Answer:

Step-by-step explanation:

x = - 48/-8  = 6

c = c^2/c^1 = c^(2-1) = c^1

d = d^4 / d^1 = d^(4 - 1) = d ^3

x = 6

e = 1

f = 3

The density of water is 1 gram per cubic centimeter. A more dense object will sink, and a less dense object will float. Will a marble with a radius of 1.4 cm and a mass of 9 grams sink or float in water? The marble will (float/sink) because the density of the marble is about (0.71, 0.78, 1.28, 1.40) grams per cubic centimeter.

Answers

Answer:

sink at 1.28 g/cm^3

v = 4/3 [tex]\pi r^{3}[/tex]

v = 4/3 [tex]\pi 1.4^{3}[/tex]

v =11.49 /9 =1.28

Step-by-step explanation:

Please hurry I will mark you brainliest

8(3 - i) = 5(2 - 2i)

Answers

Answer:-7

Step-by-step explanation:

24-8i=10-10i

24-10=-10i+8i

14=-2i

I=-7

Danny, a grade 10 math student, completed the following chart. Review Danny's work. If there
are errors, explain, and correct them.
Natural
Whole
Integers
Rational
Irrational
Real
-3
32
711
125
143/125
7.17...

Answers

Answer:

[tex]\begin{array}{ccccccc}&Natural&Whole &Integer&Rational&Irrational&Real\\-3\dfrac{3}{9}&&&& \checkmark&&\checkmark\\\sqrt{11} &&&&&\checkmark &\checkmark\\125&\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\4\cdot \sqrt[3]{125} &\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\7.\overline {17} &&&& \checkmark&&\checkmark\end{array}[/tex]

Step-by-step explanation:

The given numbers and their categories are;

1) [tex]-3\dfrac{3}{9}[/tex]  is not a natural number, because, natural numbers are whole number positive integers. It is not an integer, because it is a fraction.

It is a real number, because it has no imaginary part and it is a rational number because it can be expressed as a fraction

2) √11 is not a rational number, because it cannot be expressed as a fraction, and it is real number because it has no imaginary parts.

Therefore, is an irrational and real number

3) 125; The options selected are correct

4) 4·∛125 = 4 × 5 = 20; The options selected are correct

5) 7.[tex]\overline {17}[/tex] = 710/99; Therefore, 7.[tex]\overline {17}[/tex] is a rational number and it is also a real number as all natural, whole, integers, rational, and irrational numbers are real numbers

We get;

[tex]\begin{array}{ccccccc}&Natural&Whole &Integer&Rational&Irrational&Real\\-3\dfrac{3}{9}&&&& \checkmark&&\checkmark\\\sqrt{11} &&&&&\checkmark &\checkmark\\125&\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\4\cdot \sqrt[3]{125} &\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\7.\overline {17} &&&& \checkmark&&\checkmark\end{array}[/tex]

In the diagram, MZACB = 65. mzECD = А E B C С D​

Answers

Answer:

m<ECB = 65°

Step-by-step explanation:

<ACB and <ACD are vertical angles. That means they are congruent and have equal measures.

m<ECB = 65°

If XZ = 46 and WR = 21, find WX.

Answers

Answer:

[tex]WX=\sqrt{970}[/tex]

Step-by-step explanation:

The diagonals of a kite intersect at a 90-degree angle. In this figure, right triangle [tex]\triangle WRX[/tex] is formed by half of each of the diagonals.

In any right triangle, the Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.

Segment WR is one leg of the triangle and is given as 21. XR forms the other leg of the triangle, and is exactly half of diagonal XZ. Therefore, [tex]XR=\frac{1}{2}\cdot 46=23[/tex].

The segment we're being asking to find, WX, marks the hypotenuse of the triangle.

Therefore, substitute our known information into the Pythagorean Theorem:

[tex]21^2+23^2=WX^2,\\WX^2=970,\\WX=\boxed{\sqrt{970}}[/tex]

Answer:

WX= 31.14

Step-by-step explanation:

Use the Pythagorean theorem- [tex]a^{2} +b^{2} =c^{2}[/tex]

XR=23 by taking half of 46

[tex]21^{2} +23^{2} =c^{2} \\441+529=c^{2} \\970=c^{2}[/tex]

sqrt both sides to get your answer of 31.14

A rental car company charges a base fee of $40 plus $0.25 per mile for the first 100 miles the car is driven. The company charges the same base fee plus a reduced price of $0.18 per mile for cars driven over 100 miles. The piecewise function below represents the different amounts the company charges.

If someone drives their rental car 150 miles, how much will they owe the rental company?
$37.50
$77.50
$67.00
$27.00

Answers

Answer:

C

Step-by-step explanation:

By using a piece-wise function that models the cost as a function of the number of miles driven, we will see that the cost for 150 miles is $67.00

How much is the cost for 150 miles?

We know that there is a base fee of $40 plus $0.25 for the first 100 miles, and for each mile, after the 100 the cost is $0.18.

Then we have the piece-wise function:

c(x) = $40 + $0.25*x   0 ≤ x ≤ 100

c'(x) = $40+ $0.18*x   100 ≤ x

If x = 150, we need to use the second part, this will give:

c(150) = $40 + $0.18*150 = $67.00

So the cost is $67.00

         

If you want to learn more about piece-wise functions, you can read:

https://brainly.com/question/3628123

Please help me to solve this question pleaseee ​

Answers

Answer:

Step-by-step explanation:

1) ML // JK , MK is transversal,

∠LMK = ∠MKJ   {Alternate interior angles are congruent}

∠LMK = 30°

In ΔMKO,

30 + 115 + ∠ JLM = 180  {Angle sum property of triangle}

        145 +∠ JLM  = 180

∠ JLM  = 180 - 145

∠ JLM = 35°

2) AB // CD , AC is transversal

∠DCA = ∠BAC     {Alternate interior angles are congruent}

∠DCA = 23

∠BCD = ∠DCA + ∠BCA

          = 23 + 37

          = 60

3) EF // HG ; FH  is transversal

∠FHG = ∠HFE   {Alternate interior angles are congruent}

 ∠FHG = 77

4) ZY // WX ;  WY is transversal

∠ZYW = ∠XWY         {Alternate interior angles are congruent}

            = 65

ZY // WX ;  WY is transversal

∠ZWY = ∠WYX   {Alternate interior angles are congruent}

           = 36

In  ΔWZY

36 +  65 + ∠z = 180

        101 +∠Z = 180

∠Z = 180 - 101

∠Z = 79

find the distance (-1,-2) and (3,-1)

Answers

Answer:

[tex]\sqrt{17}[/tex]

Step-by-step explanation:

[tex]\sqrt{4^2 + 1^2}[/tex]

[tex]\sqrt{17}[/tex]

If anyone knows pls answer


Answers

Answer:

1

Step-by-step explanation:

Answer:

n = 1

Step-by-step explanation:

4^n + 2 + 4^n = 68

4^1 + 2 + 4^1 = 68

4^3 + 4^1 = 68

64 + 4 = 68

68 = 68

which of the following is equivalent to the expression below sqrt 8 - sqrt 72 + sqrt 50
A. sqrt 2
B. 3 sqrt 2
C. 13 sqrt 2
D. 7 sqrt 2

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{8}-\sqrt{72}+\sqrt{50}[/tex] These cannot combine the way they are. The rule for adding and subtracting radicals is really picky. Not only does the index have to be the same (the little number that is sitting outside in the bend of the radical {ours is a 2, which isn't usually there, but is instead understood to be a square root}), but the radicand, the expression under the square root (or cubed root, or fourth root, etc) has to the same as well. All of our radicals are square roots, so that's good, but the radicands are all different. The first one is an 8, the next one is a 72, and the last one is a 50. BUT if we can rewrite them by simplifying them and then the radicands are the same, we're in good shape.

Simplify by taking the prime factorization of each of those numbers.

8: 4*2 and 4 is a perfect square, so we'll stop there

72: 36*2 and 36 is a perfect square, so we'll stop there

50: 25*2 and 25 is a perfect square, so we'll stop there.

Now, rewrite each one of them in terms of their prime factorization:

[tex]\sqrt{4*2}-\sqrt{36*2}+\sqrt{25*2}[/tex] and then pull out each perfect square as its root:

[tex]2\sqrt{2}-6\sqrt{2}+5\sqrt{2}[/tex] and now all the radicands are the same, so we can add them to get

[tex]1\sqrt{2}[/tex]  or simply  [tex]\sqrt{2}[/tex]

Answer:

[tex]A: \sqrt{2}[/tex]

Step-by-step explanation:

sqrt 8 = sqrt (2 * 2 *2 ) = [tex]2\sqrt{2}[/tex]

sqrt 72 = sqrt (2 * 2 *2 * 3 * 3 ) = [tex]6\sqrt{2}[/tex]

sqrt 50= sqrt (2 * 5 *5 ) = [tex]5\sqrt{2}[/tex]

In the diagram below, lines AB and CD are...

Answers

it’s a perpendicular

Answer:

Perpendicular

Step-by-step explanation:

Perpendicular lines intersect and create 4 90 degree angles

Line AB and CD intersect and create 4 90 degree angles therefore line AB and CD are perpendicular

Splash Island and Magic Park are amusement parks. If you visit splash Island, you pay $3 per ride plus a $14 entrance fee. If you visit Magic Park, you pay $5 per ride plus a $7 entrance fee. You have $32. At which park could you go on more rides?

Answers

Answer:

Splash Island.

Step-by-step explanation:

Magic Park = 32 - 7 = 25 you would have 25 dollars to spend on rides which would only get you 5 rides.

Splash Island = 32 - 14 = 18 this gives you 18 dollars to spend on rides, which would get you 6 rides.

Therefore you can go on more rides at Splash Island.

Hope this helps!

simplify and reduce
3x^2-12/9x+18

noo links plss

Answers

Answer:

(x-2)/3

Step-by-step explanation:

3x^2 -12

------------------

9x+18

Factor

3(x^2-4)

-------------

9(x+2)

Notice the numerator is the difference of squares

3(x-2)(x+2)

--------------------

3*3(x+2)

Canceling like terms

(x-2)

--------

3

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]\dfrac{3x^2-12}{9x+18}\\\\ \dfrac{3(x^2-4)}{9(x+2)}\\\\ \dfrac{3(x+2)(x-2)}{3.3(x+2)}\\\\ \dfrac{\cancel{3(x+2)}(x-2)}{3.\cancel{3(x+2)}}\\\\\dfrac{x-2}{3}[/tex]

Given that the average of 2021 different positive integers is 3939, find the minimum possible value of the largest number among those 2021 positive integers.

Answers

Answer:

4049

Step-by-step explanation:

For a set of N numbers:

{x₁, x₂, ..., xₙ}

The mean is given by:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

So, if we have 2021 different positive integers, we have N = 2021.

We know that the mean is 3939.

We want to find the minimum possible value of the largest number in the set.

This is kinda trivial but:

We have 2021 numbers = 2020 numbers + 1 number

So we can assume that half of these 2020 numbers are consecutive to and smaller than 3939 and half are larger than and consecutive to 3939, and the remaining number is 3939, then our set is:

{ (3939 - 1010), (3939 + 1009),..., (3939), ..., (3939 + 1010)}

Obviusly, because the numbers are symmetrically distributed around 3939, the mean will be 3939.

And this is the case where we have the smallest largest value in the set, as the numbers are all clustered, for example, if one of the numbers in the lower side was 2 units smaller, then the largest number should be 2 units larger.

Then, the minimum possible value of the largest number is:

3939 + 1010 = 4049

I need to verify this function is symmetric with respect to the y-axis. How would I go about doing that?
h(x)=x^4-5x^2+3

Answers

Answer:

Yes, the function is symmetric about y-axis.

Step-by-step explanation:

To check whether the function is symmetric with respect to y-axis, replace each x as -x and simplify.

If h(x) = h(-x) then it is symmetric about y-axis.

Let's find h(-x) now.

h(-x)= [tex](-x)^4} -5(-x)^{2} +3[/tex]

Let's simplify it

h(-x)=[tex]x^{4}-5x^{2} +3[/tex]

Here, h(x) = h(-x). The function is symmetric about y-axis.

       

Express the following numbers in the Standard form 5x10-⁵​

Answers

Step-by-step explanation:

5 × 10[tex] {}^{-5} [/tex]

is in standard form or scientific notification. I have assumed that you meant what is 5 × 10[tex] {}^{-5} [/tex]

as a number

so here it is :-

[tex]5 \times {10}^{-5} = \frac{5}{100000} [/tex]

[tex] = 0.00005[/tex]

the Standard form 5x10-⁵ is 0.00005.

Answer:

[tex]\bold{5*10^{-5}=\frac{5}{100000}=0.00005}[/tex]

Find the measure of the indicated angle.

Answers

Answer:

86°

Step-by-step explanation:

180-(2*47)

= 180-94

= 86

Answered by GAUTHMATH

Plz help out real quick

Answers

Answer:

b=55°..

Step-by-step explanation:

b+6°+41°+b+23°=180°{sum of angle of triangle}2b+70°=180°2b=180°-70°b=110/2b=55°

hope it helps.stay safe healthy and happy......

P(x) = 1 – 2x2 – 3x3 + 4x has what order?

Answers

Answer:

3

Step-by-step explanation:

assuming you forgot you ^ mark after x x^3 would be the highest x order here making it the order for the equation.

Two corresponding sides of similar triangles have the lengths 6 cm and 16 cm. What is the ratio, expressed as a decimal?

Answers

Answer: 16:81

Step-by-step explanation:

Using the Factor Theorem, which of the polynomial functions has the zeros 3, radical 5, and negative radical 5?

A. f (x) = x3 – 3x2 + 5x + 15
B. f (x) = x3 + 3x2 – 5x + 15
C. f (x) = x3 – 3x2 – 5x + 15
D. f (x) = x3 + 3x2 – 5x – 15

Answers

Answer:

f (x) = x3 – 3x2 – 5x + 15

Step-by-step explanation:

i just took the test

The required polynomial is [tex]\bold{f(x)=x^{3}-3x^{2}-5x+15}[/tex]

The correct answer is an option (C)

What is polynomial?

"It is an algebraic expression that consist of variables and coefficients."

What is a factor theorem?"It describes the relationship between the root of a polynomial and a factor of the polynomial.""This theorem states that - If f(x) is a polynomial of degree n ≥ 1 and ‘a’ is any real number, then, (x - a) is a factor of f(x), if f(a) = 0"

For given question,

The polynomial function has the zeros 3, radical 5, and negative radical 5.

The polynomial function has zeros 3, √5, -√5

This means the factors of the polynomial function are (x - 3), (x - √5) and (x - (-√5)) = (x + √5).

Using the Factor theorem the polynomial function would be,

[tex]\Rightarrow f(x)=0\\\\\Rightarrow (x - 3)\times (x - \sqrt{5} )\times (x + \sqrt{5} ) = 0\\\\\Rightarrow (x-3)\times (x^{2} - (\sqrt{5} )^{2} )=0\\\\\Rightarrow (x-3)\times (x^{2} - 5)=0\\\\\Rightarrow x \times (x^{2} - 5) - 3\times (x^{2} - 5) =0\\\\\Rightarrow x^{3}-5x-(3x^{2}-15)=0\\\\\Rightarrow x^{3}-3x^{2}-5x+15=0[/tex]

Therefore, the required polynomial is [tex]\bold{f(x)=x^{3}-3x^{2}-5x+15}[/tex]

The correct answer is an option (C)

Learn more about the factors of the polynomial here:

https://brainly.com/question/26354419

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Solve each system by substitution
y=4
-3x+5y=2

Answers

Answer:

x = 6; y = 4

Step-by-step explanation:

y=4

-3x+5y=2

-3x + 5(4) = 2

-3x + 20 = 2

-3x = -18

x = 6

Answer: x = 6; y = 4

Answer:

(6,4)

Step-by-step explanation:

y=4

-3x+5y=2

Substitute y=4 into the second equation

-3x+5*4=2

-3x +20 = 2

Subtract 20 from each side

-3x +20-20 = 2-20

-3x = -18

Divide by -3

-3x/-3 = -18/-3

x=6

(6,4)

Which pair shows equivalent expressions?
O 2x+10=-2(x-5)
O-2(x+5)=2x-10
0 -2x-10=-2(x+5)
O -2(x-5)=-2x-10

Answers

Answer:

O-2(x+5)=2x-10

Explanation

O-2(x+5)=2x-10

SOLUTION

-2x(x)= -2x

-2x+5 = -10

A research historian is interested in finding sunken treasure in the Atlantic Ocean. She knows that her equipment is only good enough to recover items that are at a depth of 5 000 m or less. The speed of sound through the water is 1 530 m/s. While working, the sonar equipment detects a reflection that is of interest. The echo from the item takes 6.2 s to return to the sonar detector. Will she be able to retrieve this item?

Answers

Answer:

Yes, she will be able to retrieve the item

Step-by-step explanation:

The information with regards to the research historian interest in finding a sunken treasure are;

The depth from which the equipment can recover items = 5,000 m

The speed of sound through water, v = 1,530 m/s

The time it takes the echo from the item to return to the sonar detector, t = 6.2 s

Let d, represent the depth at which the item is located

Given that an echo travels from the sonar detector to the item and back to the sonar detector, the distance traveled by the sound wave which is received as an echo by the sonar detector = 2 × d

Velocity, v = Distance/time

∴ Distance = Velocity × Time

The distance traveled by the echo = 2 × d = v × t

2 × d = v × t

∴ 2 × d = 1,530 m/s × 6.2 s

d = (1,530 m/s × 6.2 s)/2 = 4,743 m

The depth at which the item is located, d = 4,743 m is less than the maximum depth the equipment can recover items, therefore, she will be able to retrieve the item.

Given f(x) = 3x - 1, find f(2).

Answers

Answer:

5

Step-by-step explanation:

by plugging on the number 2 to the equation, solve 3×2=6 and then subtract 1=5

so when finding f of x you would want to replace 2 for all the Xs bc that’s what you’re trying to find basically so you would do
f(2)=3(2)-1
which equals 5

A bus has less than 42 seats. If 36 seats are already occupied, write an
inequality representing the possible number of passengers that can be
added to the bus.
A.) x - 36 < 42
B.) x + 36 < 42
C.) x - 36 > 42
D.) x + 36 > 57

Answers

Answer:

B

Step-by-step explanation:

A x - 36 <42 is wrong because its saying how many can be added

B x +36 < 42 this one is most likely correct because its displays x as how many can be added

C x - 36 > 42 this is wrong because the bus has less than 42 seats

D x + 36 >57 like i said cant be over 42

The inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.

What is inequality ?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. Inequality is used most often to compare two numbers on the number line by their size. There is always a definite equation to represent it.

How to form the given inequality equation ?

Let x be the number of passengers that can be added to the bus.

It is given that the bus has less than 42 seats and 36 seats are already occupied.

The sum of the remaining seats which are to be filled by the passenger and the 36 seats which are filled, must be less than the total seats that is 42.

Therefore the inequality equation becomes,

x + 36 < 42.

Thus, the inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.

To learn more about inequality equation, refer -

https://brainly.com/question/17448505

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