In the diagram, the length of Line segment Y Z is twice the length of Line segment A Z.

Triangle X Y Z is shown. Angle X Y Z is a right angle. An altitude is drawn from point Y to point A on size Z X to form a right angle.

Line segment Y A is an altitude of ΔXYZ. What is the length of Line segment Y A?

5 StartRoot 3 EndRoot units
10 StartRoot 3 EndRoot units
15 units
20 units

40 America-nos

Explanation:

make proportional equation

Answer:

Step-by-step explanation:

Use ratios

Solve for x

Answer:

1/10

when you do the LCM you get 70

divide each fraction by 70 and you will get the least to be a tenth

Answer:

ok

Step-by-step explanation:

Answer:

un rhgdb tennis felicidades ID remix estoy do do ID do ID Rockband do ID do TX

By using the parallel condition and the fact that the distance to the origin is the same, we will see that a = 1 and b = 2.

First, remember that two lines are parallel if have the same slope and different y-intercept.

In this case, we know that

y = a*x - 1

b*y - (a + 1)*x = 2

Are parallel, if we write both of them in the slope-intercept form, we get:

y = a*x - 1

y = (a + 1)*x/b + 2/b

Note that because both of the lines are parallel, the slopes must be equal, then we have that:

(a + 1)/b = a

Then if we know that the distance of both lines to the origin is the same, we have that:

|-1/(√(a^2 + 1))| = | (2/b)/(√(((a + 1)/b)^2 + 1))|

Because the slopes are equal the denominators are equal, this means that:

|-1| = |2/b|

And the y-intercepts must be different, this means that:

b = 2

now we can solve:

(a + 1)/b = a

(a + 1)/2 = a

a + 1 = 2a

1 = 2a - a = a

a = 1 and b = 2.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

[tex]\left\{\begin{matrix}x=4\\y=10\\\end{matrix}\right.[/tex]

[tex]\left\{\begin{matrix}-5x+y=-10\\-4x-y=-26\\\end{matrix}\right.[/tex]

_____________________________________

[tex]-5x+y+(-4x-y)=-10+(-26)[/tex]

____________________________

[tex]-5x+y-4x-y=-10-26[/tex]

_________________________________________________

[tex]-5x-4x=-10-26[/tex]

___________________________________________

[tex]-9x=-10-26[/tex]

______________________________________________

[tex]-9x=-36[/tex]

________________________________________________

Divide both sides of the equation by the coefficient of variable

[tex]x=\frac{-36}{-9}[/tex]

____________________________________________________

Determine the sign for multiplication or division

[tex]x=\frac{36}{9}[/tex]

_________________________________________

Cross out the common factor

[tex]x=4[/tex]

[tex]-4\times4-y=-26[/tex]

____________________________________________________

Calculate the product or quotient

[tex]-16-y=-26[/tex]

______________________________________________________

Rearrange variables to the left side of the equation

[tex]-y=-26+16[/tex]

_____________________________________________

Calculate the sum or difference

[tex]-y=-10[/tex]

_________________________________________-

Divide both sides of the equation by the coefficient of variable

[tex]y=10[/tex]

I hope this helps you

:)

Answer:

m<BAC = 85°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of its intercepted arc.

m<BAC = 170°/2

m<BAC = 85°

Answer:

Width=28 1/3 Length=51 2/3

Step-by-step explanation:

1. Create an equation

x+(2x-5)=80

2. Solve

x+(2x-5)=80

3x-5=80

3x-5+5=80+5

3x/3=85/3

x=28 1/3

So, if x=28 1/3

85/3x2=170/3

56 2/3-5

So, Length=51 2/3

Answer:

[tex] \sqrt{41} [/tex]

Step-by-step explanation:

[tex]let \: the \: hypothenuse =\: x \\ by \: pythagoras \: theorem \\ x {}^{2} = 4 {}^{2} + 5 {}^{2} \\ x {}^{2} = 16 + 25 \\ x {}^{2} = 41 \\ sqare \: root \: bothsides \\( \sqrt{x}) {}^{2} = \sqrt{41} \\ x = \sqrt{41} \\ lenght \: of \: the \: hypothenus = \sqrt{41} [/tex]

Answer:

150 minutes

Step-by-step explanation:

Total plants are 16 and only 5 can be placed in one go. so total number of rounds for the plants will be: 16/5 = 3.2 rounds

As there are 3.2 rounds to go in 8 hours, so the time for 1 round will be: 8/3.2= 2 hours and 30 minutes

Answer:

150 minutes

Step-by-step explanation:

16/5 = 3.2  turns

8 hours /3.2 turns  = 2.5 hours (150 minutes)

Answer:

£252.58

Step-by-step explanation:

$346 × £0.73/$1 = £252.58

Please rate!! I hope this helps!!

Answer:

  91.2°

Step-by-step explanation:

There are several ways to find the a.pex angle of an isosceles triangle with all side lengths given. One of them is using the Law of Cosines:

  c² = a² +b² -2ab·cos(C)

Solving for the angle C, we find ...

  C = arccos((a² +b² -c²)/(2ab))

__

Here, we have a=b=14 and c=20. The angle is ...

  C = arccos((14² +14² -20²)/(2·14·14)) = arccos(-8/392)

  C ≈ 91.16938°

The interior angle at the peak of the roof is about 91.2°.

Answer:

The graph would not be as able to see the form and/or function so hope this helps

Answer:

D should be the answer because the rate of Mason and Evan is 3 pages per a minute because three goes into both like so 30÷10=3 and 12÷4=3. Which is why D is your answer.

Answer:

160 cm²

Step-by-step explanation:

Hello!

We can find the area of the blue shaded. region by finding the area of the rectangle, and subtracting the area of the triangle.

Area of rectangle:

Find the area of the rectangle

The units are cm so the area is 200 cm²

Area Triangle:

Find the area of the triangle

The units are cm so our area is 40 cm²

Area Shaded:

Now we can simply subtract the triangle area from the rectangle.

Answer:

(x−4)(x−2)(x+5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

let the eq. be

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

x=0,y=-2

-2=a(0-2)(0-4)+b

-2=8a+b

when x=6,y=-2

-2=a(6-2)(6-4)+b

-2=8a+b

when x=8,y=-6

-6=a(8-2)(8-4)+b

-6=24a+b

16a=-4

a=-1/4

-2=-2+b

b=0

y=-1/4(x-2)(x-4)

y=-1/4(x^2-6x+8)

y=-1/4x^2+3/2x -2

when x=1

y=-1/4(1-2)(1-4)

y=-3/4

Answer:

The expected value is $375

The profit is $6,500,000

Step-by-step explanation:

15000, 30000, 70000

1/100, 1/200, 1/400

So the expected value of the claim is:

15000 × (1/100) + 30000 × (1/200) + 70000 × (1/400) = 475

Given that an insurance policy sells for $800 and the expected value of the claim is $475.

So, the expected value of the companies profit is = $(800 – 475) = $325.

If the company sells 20,000 policies then the expected profit is = $(20000 × 325) = $6,500,000

Thus, The expected value (to the company) per policy sold is $375 and the expected profit is $6,500,000.

-TheUnknownScientist 72

Answer:

4 squares

Step-by-step explanation:

If the rectangle is only 3 cm wide, only one square will be able to fit in a row. Since the square is 12 cm long, 4 squares can fit. This can be found by 12/3 which = 4

The measure of the angle that would maximize the area of this isosceles trapezoid is equal to 0.4395 rad.

Given the following data:

Mathematically, the area of a trapezium is given by this formula:

A = ½ × (a + b) × h

A = ½ × (12 + 2l) × h

A = h(6 + l)

Next, we would derive a mathematical expression for A in terms of h as follows;

A = (6 + 4sin(θ)) × 4cosθ

In order to determine the value of θ for which the area of this isosceles trapezoid is maximized, we would differentiate the area (A) with respect to angle (θ):

Note: sin²θ + cos²θ = 1   ⇒ cos²θ = 1 - sin²θ.

[tex]\frac{dA}{d\theta} =16 cos^{2} \theta - 4sin \theta(6+4sin \theta)\\\\\frac{dA}{d\theta} = 16 cos^{2} \theta - 16 sin^{2} \theta - 24sin\theta\\\\\frac{dA}{d\theta} =16(1-sin^{2} \theta)- 16 sin^{2} \theta - 24sin\theta\\\\\frac{dA}{d\theta} = - 32 sin^{2} \theta - 24sin\theta+16\\\\32 sin^{2} \theta + 24sin\theta-16=0[/tex]

Next, we would use the quadratic formula to solve for the value of sinθ.

Mathematically, the quadratic formula is given by this equation:

[tex]sin\theta = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Where:

Substituting the parameters into the formula, we have;

[tex]sin\theta = \frac{-24\; \pm\; \sqrt{24^2 - 4(32)(-16)}}{2(32)}\\\\sin\theta = \frac{-24\; \pm\; \sqrt{2624}}{64}\\\\sin\theta = \frac{-24\; \pm\; 51.23}{64}\\\\sin\theta = \frac{-24\;+\; 51.23}{64}\\\\sin\theta = \frac{27.23}{64}\\\\sin\theta = 0.4255\\\\\theta = sin^{-1}(0.4255)[/tex]

θ = 0.4395 rad.

Note: We would only consider the positive value of the quadratic root.

For the obtuse interior angles of the trapezoid, we have [tex](\frac{\pi}{2} +0.4395)[/tex]

Similarly, the measure of the acute interior angles of the trapezoid is [tex](\frac{\pi}{2} -0.4395)[/tex]

Read more on isosceles trapezoid here: https://brainly.com/question/4758162

Answer:

I think it's C)144. because I think it's C

Caleb placed 3 yellow balls and 4 red balls in a row. The possible visually distinct rows are 144.

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

It is given that Caleb placed 3 yellow balls and 4 red balls in a row.

So, visually distinct rows are possible

= 4 x 3 x 2 x 3 x 2

= 144

Thus, The possible rows are 144.

Learn more about combinations;

https://brainly.com/question/19692242

Answer:

47.6 euros

Step-by-step explanation:

68 x .70 = 47.6

.70 = 70%

70% of 68

of means multiply

You turn the percent into a decimal and multiply

Add the two together:

15 + 17 = 32

total miles = 32

Answer:

gh1

Step-by-step explanation:

19 is prime and 29 is not divisible by 19 therefore 1g is the highest. 5 and 3 are both prime so again, 1h and finally, 5 is a prime number so gh1 is the greatest factor

Answer:

8w² -8w +2

Step-by-step explanation:

(2w-1)(4w-2)

= 8w² -4w -4w + 2

= 8w² -8w +2

Answer:

5 years ago

Step-by-step explanation:

5 years ago, they were 35 years old and 3 years old. 35*3=105.

Answer:

p=7/2

Step-by-step explanation:

Rember that a p series can be represented by

[tex] \frac{1}{k {}^{p} } [/tex]

Here, notice that

[tex] \frac{1}{8 \sqrt{2} } = \frac{1}{2 {}^{3} \sqrt{2} } = \frac{1}{2 {}^{3} \times 2 {}^{ \frac{1}{2} } } = \frac{1}{2 {}^{ \frac{7}{2} } } [/tex]

This is true for all parts of the series because

[tex]27 \sqrt{3} = 3 {}^{ \frac{7}{2} } [/tex]

So p=7/2

[tex]\frac{1}{64}[/tex]

[tex]The\ probability\ of\ tails\ per\ flip\ is\ \frac{1}{2}[/tex]

[tex]so\ the\ probability\ of\ getting\ six[/tex]

[tex]tails\ is[/tex]

[tex]\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{64}[/tex]

[tex]The\ probability\ of\ getting\ tails\ every[/tex]

[tex]time\ you\ multiply\ them\ is\ the[/tex]

[tex]probobility\ of\ getting\ tails\ all\ six[/tex]

[tex]times?[/tex]

I hope this helps you

:)