What is the length of YA ?

What Is The Length Of YA ?

Answers

Answer 1

AYZ is a right triangle (we're given that YA is perpendicular to XZ). So, we can use the pythagorean theorem to find the missing side:

[tex]YA^2+AZ^2=YZ^2[/tex]

But we're also given [tex]YZ = 2AZ[/tex], so we have

[tex]YA^2+AZ^2=(2AZ)^2=4AZ^2[/tex]

Since AZ is half of YZ, which is 10, we deduce AZ=5.

Solving for YA, we have

[tex]YA^2+AZ^2=4AZ^2 \iff YA^2 = 3AZ^2 \iff YA = AZ\sqrt{3} = 5\sqrt{3}[/tex]


Related Questions

solve the equation x + 3 x + 5 equal 21​

Answers

Answer:

x = 4

Step-by-step explanation:

Combining like terms, we get 4x = 16, and so x = 4.

Answer: The answer is 4.

Step-by-step explanation: The way I got my answer was by isolating the variable by dividing each side by factors that don't contain the variable. I also have a website that you can use to help you! (if you want it, just ask me and I can provide it to you!)

I hope this info helps you! :D

Find the value of m23-m21.

Answers

Answer:

M2

Step-by-step explanation:

duh

Write the equation of the graphs below and explain

Answers

Answer:

  y = 3√(x+3) -2

Step-by-step explanation:

The given points seem to match those of (half) a parabola that opens to the right. The parent function would be ...

  x = y^2

or ...

  y = √x . . . . . gives the upper half of the parabola only

It seems to have a vertical expansion by a factor of 3 and a translation of the vertex from (0, 0) to (-3, -2). The transformed function is then ...

  y = 3√(x +3) -2

_____

We have transformed the parent function using ...

  y = a·f(x-h) +k

where a is the vertical expansion factor, h is the horizontal translation, and k is the vertical translation.

Volume with cubes with fraction lengths​

Answers

Answer:

[tex]\large\boxed{24\ cubes}[/tex]

Step-by-step explanation:

[tex]\bold{METHOD\ 1}\\\\\text{Calculate the volume of a prism:}\\\\V_{p}=(1)(2)\left(\dfrac{3}{2}\right)=3\ cm^3\\\\\text{Calculate the volume of a cube:}\\\\V_c=\left(\dfrac{1}{2}\right)^3=\dfrac{1}{8}\ cm^3\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\\dfrac{V_p}{V_c}=\dfrac{3}{\frac{1}{8}}=3\cdot8=24[/tex]

[tex]\bold{METHOD\ 2}\\\\1cm:\dfrac{1}{2}m=1\cdot2=2\\\\2cm:\dfrac{1}{2}cm=2\cdot2=4\\\\\dfrac{3}{2}cm:\dfrac{1}{2}cm=\dfrac{3}{2}\cdot\dfrac{2}{1}=3\\\\2\cdot4\cdot3=24\ (cubes)[/tex]

Find the missing angle measures And explain how please

Answers

Check the picture below.

helped needed! 20 points and brainliest of answered right !

Answers

Answer:

1. Cluster sampling

2. When finding a fair sample

3. Simple random sampling

Question 2 options: 2(3x + 5 ) = 6x + 10

Answers

Answer:

Infinitely many solutions / All real numbers

Step-by-step explanation:

2(3x+5)=6x+10

Then, Distribute

6x+10=6x+10

Therefore, it is infinitely many solutions / all real numbers

For this case we must solve the following equation:

[tex]2 (3x + 5) = 6x + 10[/tex]

We apply distributive property to the left side of the equation:

[tex]6x + 10 = 6x + 10[/tex]

It is observed that we have an identity, that is, the terms on the right side are equal to the terms on the left side of the equation. Then, the equation has infinite solutions

Answer:

Infinite solutions

The areas of the square and the rectangle are equal.
What is the value of x?

Answers

Answer:

x=12

Step-by-step explanation:

Area of the square

A = x^2

Area of the rectangle

A = (2x-8) (x-3)

Foil

A = 2x^2 -6x -8x +24

  = 2x^2 -14x+24

The areas are equal

x^2 =  2x^2 -14x+24

Subtract x^2 from each side

x^2 - x^2 =  2x^2-x^2 -14x+24

0 = x^2 -14x -24

Factor

0 = (x-12) (x-2)

Using the xero product property

x-12= 0   x-2 =0

x=12  x=2

But looking at the rectangle

x-3 is a side length

2-3 is negative so x cannot equal 2

x=12

What is the domain of the square root function graphed below?​

Answers

ANSWER

[tex]x \geqslant 3[/tex]

EXPLANATION

The domain of a function refers to the set of x-values for which the graph of the function exists.

From the graph provided, the graph of the function exists for x-values greater than or equal to 3.

Therefore the domain of the square root function graphed is

[tex]x \geqslant 3[/tex]

The correct choice is the fourth option.

Estimate the square root to the nearest integer.
2. 39

A : 5
B: 8
C: 6
D: 7

Answers

Answer:

C

Step-by-step explanation:

The square root of 39 is ~6.25 so 6 is closest

Answer:

2

Step-by-step explanation:

Think:  2.39 is sandwiched between the perfect squares 1 and 4.

The difference between 1 and 4 is 3.  From 1 to 2.39 is a step of 1.39; from 2.39 to 4 is a step of 1.61.  Therefore, 2.39 is closer to 1 than to 4, and we estimate 2.39 to be 2 (to the nearest integer).

How many subsets can be made from a set of six elements including the null set and the set itself

A) 84

B) 64

C) 32

Answers

Answer:

c. 32

Step-by-step explanation:

                           

A city has a population of 390,000 people. Suppose that each year the population grows by 8.75%. What will the population be after 12 years?

Answers

After 12 years, the population will be approximately 993,993 people.

The city's current population is 390,000 and it grows at a rate of 8.75% each year. To find the population after 12 years, we use the formula for exponential growth:

P(t) = P°  × (1 + r)t

Where:

P(t) is the future populationP° is the initial populationr is the annual growth rate (expressed as a decimal)t is the number of years

First, convert the growth rate to decimal form:

8.75% = 0.0875

Next, apply    the exponential growth formula:

P(12) = 390,000 × [tex](1 + 0.0875)^{12}[/tex]

P(12) = 390,000 × [tex]( 0.08750)^{2}[/tex]

Using a calculator, we get:

P(12) = 390,000 × 2.5487

P(12) = 993,993

-2(-3)(-1)(-4)= evaluate

Answers

This expression is equal to 24.

-2(-3) = 6
6(-1) = -6
-6(-4) = 4

The commutative property of multiplication states that you don’t have to do it in any specific order.

Multiply from left to right (although you don't have to do this I just personally find it easier)

(-2 * -3)(-1)(-4)

(6)(-1)(-4)

^^^A negative times a negative is a positive

(6* -1)(-4)

(-6)(-4)

^^^Positive times a negative is a negative

(-6 * -4)

(24)

-2(-3)(-1)(-4) = 24

Hope this helped!

~Just a girl in love with Shawn Mendes

What is the area of the gray triangle shown?

Answers

Answer:

The area of the triangle is basically half the area of the square, so we only need to find the area of the square and divide it by 2:

S = (15 · 15)/2 = 112.5 (square units)

Answer:

112.5 square units

Step-by-step explanation:

Area = 1/2bh

where b = 15 and h = 15 (you can look at the graph)

So A = 1/2(15)(15) = 225/2 = 112.5 square units

Answer

112.5 square units

Write and solve the equation and then check your answer.
A number increased by twenty-six is forty-two.

Which statements are correct? Check all that apply.

This is an addition problem.

This is a subtraction problem

The correct equation is s + 26 = 42. 

The correct equation is s – 26 = 42. 

To solve the equation, add 26 to both sides.

To solve the equation, subtract 26 from both sides.

Answers

Answer:

I think the answer would be C

"The correct equation is s+26=42"

Step-by-step explanation:

You would have to take whatever number s represents and add it by 26 to get 42, so the correct equation would be s+26=42 because you have to take whatever number s is and add it by 26 to get the answer.

Answer:

ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Step-by-step explanation:


Pamela wants to learn more about the career preferences of students in her school. She interviews a number of students from the advanced science classes. Why is this sample likely to be biased?

A. Advanced science students may not have clear career preferences.

B. The numbers of boys and girls in the advanced science classes are not equal.

C. Advanced science students are not representative of all the students in the
school.

D. It is too early for students to have career preferences while still in school.

Answers

Answer:

C.

Step-by-step explanation:

Answer:

I hope this helps

Step-by-step explanation:

What is the surface area using integrals of these two lines. Y=10-x^2 and Y=x^2+2 from the bounds x=2 and x=-2.

Answers

Check the picture below.

[tex]\bf \displaystyle\int\limits_{-2}^{2}~[\stackrel{\textit{above function}}{(10-x^2)}~~-~~\stackrel{\textit{below function}}{(x^2+2)}]dx\implies \int\limits_{-2}^{2}~(10-x^2-x^2-2)dx \\\\\\ \displaystyle\int\limits_{-2}^{2}~(8-2x^2)dx\implies \left. 8x\cfrac{}{} \right]_{-2}^{2}-\left. \cfrac{2x^3}{3} \right]_{-2}^{2} \\\\\\ ([16]-[-16])~~-~~\left( \left[ \cfrac{16}{3} \right]-\left[ -\cfrac{16}{3} \right]\right)\implies (32)~~-~~\left( \cfrac{32}{3} \right) \\\\\\ \cfrac{64}{3}\implies 21\frac{1}{3}[/tex]

In Galveston, Texas there is a beautiful attraction called the Rainforest Pyramid which contains man plants and a variety of rainforest animals. The builders needed to calculate the volume of the squar pyramid to plan the climate control system. The length of the base is approximately 69.6 yards and the height is 33 yards. Which of the following is the closest estimate of the volume?

Answers

Answer:

53,286 yards

Step-by-step explanation:

69.6x69.6x33/3

The volume of the square pyramid is [tex]53,286[/tex] yards.

What is volume of the square pyramid?

The volume of a square pyramid is one-third of the product of the area of the base and the height of the pyramid.

               [tex]V=\frac{1}{3} b^{2} h[/tex]

From the given,

The length of the base [tex]b[/tex] is [tex]$69.6\,\text{yards}$[/tex].

Height [tex]h[/tex] is, [tex]$33\,\text{yards}$[/tex].

We have to find [tex]V[/tex].

So,

[tex]$V=\frac{1}{3}{{\left( 69.6 \right)}^{2}}\cdot 33$[/tex]

[tex]$\therefore V=53286$[/tex]

Hence, the volume of the square pyramid is [tex]53,286[/tex] yards.

Learn about more volume of the square pyramid:

https://brainly.com/question/12527607?referrer=searchResults

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Which equation represent the line show on the graph

Answers

[tex]f(x)=2x\Rightarrow y=2x[/tex]

Hope this helps.

Brainly would help me.

Answer:

y=2x

Step-by-step explanation:

the slope-intercept formula is y=mx+b, where m is the slope(rise over run) and b is the y-intercept, which then becomes y=2(2/1 because it goes up by 2 and right by 1)x+0, or simply y=2x, hope this helps! :D

PLEASE PLEASE HELP!! 30 POINTS!!


What is an approximate average rate of change of the graph from x=8 to x=13, and what does this rate represent?

Answers

There is no rate of change.

x=8 and x=13 are horizontal lines going to infinity and negative infinity, its valid for all reals on those 2 lines.

I'm guessing you left out some information on what kind of interpretation you want of these straight lines.

graph y = 3^x + 1 as a translation of its parent function​

Answers

Answer:

Shift the parent function to the left by one unit

Step-by-step explanation:

The given function is [tex]y=3^{x+1}[/tex]

The parent function is [tex]y=3^x[/tex]

The transformation applied to the parent function to obtain the given function is of the form,[tex]f(x+1)[/tex], which is a horizontal shift to the left by one unit.

To graph [tex]y=3^{x+1}[/tex] we shift the graph of [tex]y=3^x[/tex] to the left by one unit.

HELP FAST PLEASE!!!!! Which of the following is an equation of the translation y = sin x, shifted π units up?
y = sin (x + π)

y = sin x + π

y = sin (x − π)

y = sin x − π

Answers

to translate a graph up you need to add the amount you want to move it to the end of the equation, not to the variable.

The answer would be y = sin x + π

Answer:

B

Step-by-step explanation:

y=sinx+pi

Tasha is buying a cd that is regularly $12.99 and is on sale for 1/4 off.

Answers

9.74$

IS the final answer

What is the exact volume of the cylinder? Enter your answer, in terms of π , in the box. 5cm 15cm

Answers

radius is half the breadth of box ie 2.5 cm height of cylinder is length ie 15 cm

so volume of cylinder =pi(r^2)h

ie 93.75pi cm^3

The exact volume of the cylinder is 93.75pi cm^3.

The question is incomplete the complete question is,

What is the exact volume of the cylinder? Where radius is  5cm and height is 15cm. Enter your answer, in terms of π, in the box.

We have given that,

The radius is half the breadth of the box ie 2.5 cm height of the cylinder is length ie 15 cm.

We have to determine the  volume of a cylinder

What is the formula of the volume of a cylinder?

Volume of the cylinder =pi(r^2)h

Use the given value in the above formula so we get,

[tex]V=\pi (2.5)^2(15)\\[/tex]

V= 93.75pi cm^3

Therefore the exact volume of the cylinder is 93.75pi cm^3.

To learn more about the volume of the cylinder visit:

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Solve and show your work for each question.
What is 0. 45 expressed as a fraction in simplest form?
What is 0.45 expressed as a fraction in simplest form?
What is 0.45 expressed as a fraction in simplest form?

SHOW YOUR WORK

Answers

Answer:

9/20

Step-by-step explanation:

You set the fraction up at first as 45/100. Then you know that 5 goes into each so you divide by 5 [tex]\frac{45}{100} /5[/tex]

45/5=9

100/5=20

You get 9/20, and this is in simplest form.

0.45/1

Then multiply top and bottom by 100.

45/100

Then simplify!

45/100 divide top and bottom by 5.

9/20

Not sure what to do here

Answers

neither tbh lol and yea ok

Find the surface area of the following figure

Answers

Answer:

510.4 ft²

Step-by-step explanation:

We have:

two trapezoids with bases 15ft and 7ft and height 5ft.

four rectangles 5ft × 11ft, 15ft × 11ft, 9.4ft × 11ft and 7ft × 11ft.

The formula of an area of a trapezoid:

[tex]A_t=\dfrac{b_1+b_2}{2}\cdot h[/tex]

b₁, b₂ - bases

h - height

Substitute:

[tex]A_t=\dfrac{15+7}{2}\cdot5=\dfrac{22}{2}\cdot5=(11)(5)=55\ ft^2[/tex]

The formula of an area of a rectangle:

[tex]A_r=lw[/tex]

l - length

w - width

The dimensions of rectangle l × w

Subtitute:

[tex]A_1=(5)(11)=55\ ft^2\\\\A_2=(15)(11)=165\ ft^2\\\\A_3=(9.4)(11)=103.4\ ft^2\\\\A_4=(7)(11)=77\ ft^2[/tex]

The surface area of the figure:

[tex]S.A.=2A_t+A_1+A_2+A_3+A_4\\\\S.A.=2(55)+55+165+103.4+77=510.4\ ft^2[/text]


An Internet and cable-television supplier surveyed a random sample of their customers. The results are shown in the table.


Which statement about the two-way frequency table is true?

Answers

Answer:

Step-by-step explanation:

the survey represents quantative data

The statement which is true about the frequency is About one-fourth of the cable-television customers are not satisfied.

The correct option is (D).

What is frequency?

Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.

The first statement doesn't satisfy.

The second statement is wrong because the greatest customers of cable television are not satisfied.

The third statement is also wrong because the customers surveyed for the cable television is less than half the total customers surveyed

The fourth statement is correct because,

=[tex]\frac{1}{4}[/tex] * 1109

= 277.25 which is very close to 285.

Hence, About one-fourth of the cable-television customers are not satisfied.

Learn more about frequency here:

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PLEASE HELP!!!!!!! Solve for x. Use the completing the square method. 5x2−2x−10=0 Round decimals to the nearest tenth.

Answers

Answer:

0

Step-by-step explanation:

0 times anything is zero

ANSWER

x=-1.2 or x=1.6

EXPLANATION

The given equation is:

[tex] 5{x}^{2} - 2x - 10 = 0[/tex] Group and combine the constant terms:

[tex]5{x}^{2} - 2x = 10 [/tex]

Divide through by 5

[tex]{x}^{2} - \frac{2}{5} x = 2[/tex]

Add the square of the coefficient of x to both sides:

[tex]{x}^{2} - \frac{2}{5} x + \frac{1}{25} = 2 + \frac{1}{25} [/tex]

The left hand side is now a perfect square

[tex]( {x - \frac{1}{5} })^{2} = \frac{51}{25} [/tex]

Take square root:

[tex]{x - \frac{1}{5} }=\pm \sqrt{\frac{51}{25}} [/tex]

[tex]{x = \frac{1}{5} }\pm \frac{ \sqrt{51} }{5}[/tex]

[tex]{x = \frac{1}{5} } - \frac{ \sqrt{51} }{5} \: or \: \: {x = \frac{1}{5} } + \frac{ \sqrt{51} }{5}[/tex]

x=-1.2 or x=1.6

A particular computer takes 78 nanoseconds to carry out seven sums and ten products. Another computer takes 55 nanoseconds to carry out 4 sums and eight products. How long does the computer take to carry out one sum? One product?

Answers

Answer:

The time that the computer take to carry out one sum is 4.63 nanoseconds and the time that the computer take to carry out one product is 4.56 nanoseconds

Step-by-step explanation:

Let

x----> the time that the computer take to carry out one sum

y----> the time that the computer take to carry out one product

we know that

7x+10y=78 ------> equation A

4x+8y=55 -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (4.625,4.563)

see the attached figure

therefore

The time that the computer take to carry out one sum is 4.63 nanoseconds

The time that the computer take to carry out one product is 4.56 nanoseconds

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