The height of AXYZ is the
distance from point Y to XZ
Find the area of the
triangle. Round your answer
to the nearest tenth, if
necessary. y(4,5) a(2,1) x(0,2) z(4,0)
pls help quick:(

The Height Of AXYZ Is Thedistance From Point Y To XZFind The Area Of Thetriangle. Round Your Answerto

Answers

Answer 1

Answer:

areas of AXYZ=10 square units1

Answer 2

Answer:

10 units squared

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Use the distance between two points formula to find the measure of the height and base of ΔXYZ.

Distance between two points

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points}[/tex]

Height of Triangle

Define the points:

[tex]\textsf{Let }(x_1,y_1)=(2,1)[/tex][tex]\textsf{Let }(x_2,y_2)=(4,5)[/tex]

Substitute the points into the distance formula to find the height of the triangle:

[tex]\begin{aligned}\implies \sf height & =\sqrt{(4-2)^2+(5-1)^2}\\& = \sqrt{2^2+4^2}\\& = \sqrt{20}\end{aligned}[/tex]

Base of Triangle

Define the points:

[tex]\textsf{Let }(x_1,y_1)=(0,2)[/tex][tex]\textsf{Let }(x_2,y_2)=(4,0)[/tex]

Substitute the points into the distance formula to find the height of the triangle:

[tex]\begin{aligned}\implies \sf base & =\sqrt{(4-0)^2+(0-2)^2}\\& = \sqrt{4^2+(-2)^2}\\& = \sqrt{20}\end{aligned}[/tex]

Area of Triangle

[tex]\begin{aligned}\implies \sf Area & = \dfrac{1}{2} \times \sf base \times height\\& = \dfrac{1}{2}\sqrt{20}\sqrt{20}\\& = \dfrac{1}{2}(20)\\& = 10 \sf \:\:units^2 \end{aligned}[/tex]


Related Questions

Hey, guys help me answer!

Answers

Hello and Good Morning/Afternoon

Let's take this problem step by step.

        [tex]5=\frac{1}{3}(5x-15)\\ 5=\frac{5}{3}x-5\\ 5+5= \frac{5}{3}x-5 +5\\10=\frac{5}{3}x\\ 10 * 3 = 3* \frac{5}{3}x\\30=5x\\\frac{30}{5} =\frac{5}{5}x\\ 6=x\\x=6[/tex]

What did we do in this problem

we ensured that both sides remained equally balanced in valuetook everything step-by-step to make sure that there were no mistakesto check it, we can plug it back into the original equation to see if it works

                  [tex]5=\frac{1}{3}(5(6)-15)\\ 5=\frac{1}{3} (30-15)\\5=\frac{1}{3}*15\\ 5=5 \checkmark\\[/tex]

Answer: x = 6

Hope that helps!

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Solution :-

⇒ 5 = 1/3 (5x - 15)

⇒ 5 × 3 = 1 (5x - 15)

⇒ 15 = 1 (5x - 15)

⇒ 15 = 1 × (5x - 15)

⇒ 15 = 5x - 15

⇒ 5x = 15 + 15

⇒ 5x = 30

⇒ x = 30 / 5

⇒ x = 6

Why is -1 3/10 as an improper fraction -13/10? Wouldn’t it be -7/10 because -1 * 10 + 3 is -7/10?

Answers

Answer:

-13/10

Step-by-step explanation:

It wont be -7/10 because to change a mixed number to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.

136mm into cm and mm​

Answers

Step-by-step explanation:

13.6 is the answer because 1cm is 10 cm

Answer:

13.6 cm

Is the second requested unit mm?  The value is already in mm.

Step-by-step explanation:

Use conversion factors for the metric system.

By definition:  1cm = 10mm

We can write this as a conversion factor.  Either:

 1)  1cm/10mm, or

 2) 10mm/1cm

We are given 136 mm.  Convert that by using either conversion factor.

(136mm)*(1cm/10mm) = 13.6 cm  Note how the mm unit cancels.

To use the other conversion factor, do a division:

(136mm)/(10mm/1cm) = 13.6 cm

====

136 mm is already 136 mm.  

What is the following product? sqrt10 x sqrt10

Answers

The product of the mathematical expression √10 · √10 is 10 option first 10 is correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have given a mathematical expression:

= √10 · √10

As we know,

√a² = a

or

√a×√a = a

By applying the above rule:

= √10×√10

= √10²

= 10

Thus, the product of the mathematical expression √10 · √10 is 10 option first 10 is correct.

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the price p of a new house minus a 20% down payment

Answers

Answer:

0.8p or p - 0.2p

Step-by-step explanation:

You can find the price for any house minus the down payment by writing an expression with a variable. Let p be the price of the house. If you pay 20% then the price will be lowered by 20%. You will pay as your mortgage 80% of the price. You can write it as either the expression 0.8p or p - 0.2p.

Which of the following is a root of the polynomial function below?
F(x)= x³ +3x² - 5x-4

Answers

Answer:

3

Step-by-step explanation:

jus took test

.7bar8 into a fraction in simplest form

Answers

The number 0.7 / 8 is given by the fraction 7 / 80 when expressed in its simplest form

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

A fraction in its simplest terms is given as a/b, where a is the numerator and b is the denominator.

Hence:

0.7 / 8 = 7 / 80

The number 0.7 / 8 is given by the fraction 7 / 80 when expressed in its simplest form

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What are the two most important characteristics of a geographical data set that must be known before any analysis can be done

Answers

The answer for this problem is b

What is 7/15 turned into a decimal

Answers

Answer:

7 ÷ 15 = 0.46666666666667

Step-by-step explanation:

Answer:

0.47

Step-by-step explanation:

To turn any fraction into a decimal, we must simply divide the numerator by the denominator. 7 divided by 15 is equal to 0.466666...

If we round this number to the nearest hundredth, we get 0.47.

B
B
A
A'
D
D'
m
Consider the reflection of the trapezoid across the line
of reflection, m.
The angles of trapezoid ABCD are
the angles of trapezoid A'B'C'D'.
The side lengths of trapezoid ABCD are
A'B'C'D'.
the side lengths of trapezoid
the line segments
The line m ist
connecting the corresponding vertices of the two
trapezoids.

Answers

Transformation is a process in which the size and/or orientation of a given figure are/is adjusted. The appropriate answers are:

i. equal to

ii. congruent to

iii. the same distance to

Transformation is the process required to either increase or decrease the size of a given shape, or change the orientation of a given shape. The methods of transformation are dilation, reflection, rotation, and translation.

Dilation is the method required in resizing the size of a given figure.Reflection is a method required in flipping a given figure about a reference point or line.Rotation is a method that involves turning a given shape about a line or shape.Translation involves moving all points on a given figure in a specific direction.

Thus the required statements to complete the reflection across a line as required in the question are:

i. equal to

ii. congruent to

iii. the same distance to

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(-3 ) x ( + 3 )=( - 3) * ( - 3)= ______
2 ( - 3) * ( - 3)=
3) ( + 20 ) ( + 5) = ____

4) ( + 21 ) ( - 3 ) )= ___

5) (-2) * (+3) * (- 4) = ___

6) __ (5 + 4) = 2 * 5 + 2 * 4

7) 8 * 7 + 8 * 3 = 8 (7 + ___ )

8) 6 * 5 – 6 * 2 = 6 (__ - __)

9) 5 * 3 + 10 * 3 = 3( __ + 10)

10) 8 * 4 – 8 * 2 = ___ (4 – 2)

11) 7 ( 5 – 2 ) = 7 * ___

12) 5 (2 + 4 ) = 5 * ___

13) ( 64 8 ) 2 = ___

14) 2 * ( 9 + 1 ) = 2 * ___

15) ( 100 + 10 ) 5 = _____

16) (100 – 40 ) 10 = ____

17) – 5 * 5 = ____

18) 5 * ( -6 ) = ____

19) ( + 2 ) X ( + 3) = ___

20) ( + 6 ) X ( - 2 ) = ____

Answers

Answer:

first one is x = -1

Step-by-step explanation:

if you want me to do all of them ( which I can) then ima need more points then just 5 :)

Find the area of a right triangle with hypotenuse 15 in. and altitude 12 in. (to the hypotenuse).

Answers

The area of a right-angle triangle is half the product of the base of the triangle and the height of the triangle. The area of the triangle is 90 units².

What is the area of a right-angle Triangle?

The area of a right-angle triangle is half the product of the base of the triangle and the height of the triangle.

[tex]\rm{ Area \triangle = \dfrac{1}{2} \times base \times height\\[/tex]

For the given triangle if the hypotenuse is assumed as the base, and the altitude is assumed as the height of the triangle, then the area of the triangle will be,

Area of the triangle = 0.5 × 15 units × 12units

                                 = 90 units²

Hence, the area of the triangle is 90 units².

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At a certain fast-food restaurant, 56% of customers order a chicken sandwich, 43% of customers order french fries, and 30% of customers order both a chicken sandwich and french fries. What is the probability that a randomly selected customer will order a chicken sandwich or french fries (or both items)?

Answers

The probability that a randomly selected customer will order a chicken sandwich or french fries is 36%

How to determine the probability?

The given parameters are:

P(Chicken) = 56%

P(Sandwich) = 43%

P(Both) = 30%

The required probability is:

P = P(Chicken) + P(Sandwich) - P(Both)

This gives

P = 56% + 43% - 30%

Evaluate

P = 36%

Hence, the probability that a randomly selected customer will order a chicken sandwich or french fries is 36%

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Can y’all help me out with this one I didn’t do it right igs

Answers

Step-by-step explanation:

We have a dilation because we are multiplying the pre image by some constant,

Since dilations doesn't preserve side length, they are a non rigid motion.

According to the rule, we multiply the x values by 3 and the y values by 2.

So our new points are

A'(9,10)

B'(15,6)

C'(6,4)

A particle is moving along a projectile path at an initial height of 80 feet with an initial speed of 112 feet per second. this can be represented by the function h(t) = −16t2 112t 80. what is the maximum height of the particle?

Answers

Answer:

276 feet

Step-by-step explanation:

The best way to do this is to complete the square, which puts the quadratic in vertex form. The vertex of a negative parabola, which is what this is, is the highest point of the function...the max value.  The k coordinate of the vertex will tell us that highest value.  To complete the square, we will first set the quadratic equal to 0, then move the constant over to the other side:

The rule for completing the square is that the leading coefficient must be a positive 1.  Ours is a negative 16, so we have to factor out -16:

Now the next thing is to take half the linear term, square it, and then add it to both sides.  Our linear term is 7, half of that is 7/2.  Squaring 7/2 gives you 49/4.  So we add 49/9 into the parenthesis on the left.  However, we can't forget that there is a -16 out front there that refuses to be ignored.  We have to add then (-16)(49/4) onto the right:

The purpose of this is to create a perfect square binomial that serves as the h value of the vertex (h, k).  Stating that perfect square on the left and doing the addition on the right:

Now we finalize by moving the constant back over and setting it back equal to y:

The vertex is

That translates to "at 3.5 seconds the particle is at its max height of 276 feet".

The triangular region is rotated around the X-axis. What are the name and dimensions of the solid that is created from the rotation

Answers

Answer:

coneradius 8 unitsheight 6 units

Step-by-step explanation:

The attached image shows the figure of rotation generated by rotating a triangular shape about the x-axis.

Shape

When the given line is rotated about the x-axis, each point on the line traces a circle in the y-z plane. Those together will make a cone shape. The radius of the circle is the distance of the point from the x-axis.

Dimensions

The base of the cone will be the circle obtained by rotating the y-intercept about the x-axis. As above, the radius of that circular base is the y-value of the y-intercept: 8 units.

The height of the cone will be the x-value of the point where the radius is zero, at x=6.

The cone has a height of 6 units and a radius of 8 units.

Please help ill appreciate it best answer gets the brainliest answer!!

Answers

Answer:

C

Step-by-step explanation:

because it just make sence

Answer:

McKenna runs all the way home from school ...

Step-by-step explanation:

In this distance v time graph, a negative slope means going from school to home, a positive slope means going from home to school, and a flat section means staying at a particular location without moving.

Which of the following describes the graph of {x | 2 < x < 2} ?

- just a closed circle on 2
- an open circle on 2 and arrows pointing out
- the entire number line
- no solution​

Answers

Answer:

baahsuslskissisudjxnxnx

Please help me solve this question
possible answers are 100, 90, 45, 135

Answers

The angle is 135 degrees

Explanation:
Using the concept of supplementary angles, we can use the angle given to find for x.
Supplementary angles refer to angles that add up to a 180 degree angle/straight line. If we were to put the angle for x and 45 together we would get an angle of 180. So, to find x we can use 180-45, which equals 135.

A number is chosen at random from 1 to 25. Find the probability of selecting an even number or multiple of 13

Answers

Probability helps us to know the chances of an event occurring. The probability of selecting an even number or multiple of 13 is 13/25.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Number of even numbers between 1 to 25 = 22

Number of multiple of 13 between 1 to 25 = 1

The probability of selecting an even number or multiple of 13 is,

Probability = (12+1)/25 = 13/25


Hence, The probability of selecting an even number or multiple of 13 is 13/25.

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Someone please help me out

Answers

Answer:

A. y<-1/5x+1

Step-by-step explanation:

First, find the slope of the line

delta y / delta x = slope (delta means "change in", so delta y would the the change in y)

the change in y is 1, and the change in x is -5, so the slope is -1/5

we now know that the equation of the line is
y=-1/5x+1

The answer can't be c or d, because the line is dotted and not solid (solid lines signify ≥ or ≤, and dotted > and <)
To test if it is > or <, we can plug in some numbers to see if the equation is true

Right now, we have:


y[?]-1/5x+1, where "[?]" is either > or <


we see that the point 0,0 is a solution, since it is in the shaded region of the graph, because of this, we know that if we plug x=0 and y=0 into the equation, it must be true

plug in:

0[?]-(1/5)*0+1

0[?]1

clearly, [?] should be <, as 0<1
so, now that we know [?], we can replace it in our equation

y<-1/5x+1 , or "A"

Which inequality in factored form represents the region less than the quadratic function with zeros-40 and 50 and
includes the point (-55,-75) on the boundary line?
Oy<-(x-40)(x-50)
Oys-(x+40)(x+50)
Oys-(x-40)(x-50)
Oy<(x+40) (x + 50)

Answers

Using the Factor Theorem, the inequality that represents the given region is:

[tex]y < \frac{(x + 40)(x - 50)}{21}[/tex]

What is the Factor Theorem?

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

The roots are given as follows:

[tex]x_1 = -40, x_2 = 50[/tex]

Hence:

y = a(x + 40)(x - 50)

It includes the point (-55,-75), hence:

-75 = a(-55 + 40)(-55 - 50)

a = 75/(15 x 105)

a = 1/21

Hence the region less than the equation is:

[tex]y < \frac{(x + 40)(x - 50)}{21}[/tex]

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Answer:

D

Step-by-step explanation:

Would mean a lot if you could help me out don’t answer it if you don’t know the answer

Answers

Answer: x = 15

Step-by-step explanation:

Hi!

These are supplementary angles, which means they both add up to 180°

Therefore,

9x+10 + 1x + 20 = 180

to solve, combine like terms

10x + 30 = 180

Then subtract 30 from both sides

10x = 150

now divide 10 from both sides leaving x by itself

x = 15

Hope this helps and have a nice day!

Answer: x = 15

Step-by-step explanation:

Hi!

These are supplementary angles, which means they both add up to 180°

Therefore,

9x+10 + 1x + 20 = 180

to solve, combine like terms

10x + 30 = 180

Then subtract 30 from both sides

10x = 150

now divide 10 from both sides leaving x by itself

x = 15

Hope this helps and have a nice day!

What is cos (A)?
Pls help!!

Answers

(Sqrt 87)/16
Please mark brainliest

What is f(-3) for the
function f(a)=-2a?-5a+4?

Answers

Answer:

13

Step-by-step explanation:

f(-3)=2(-3)-5(-3)+4. = -6+15+4= 13. f(a)=13

An inverse variation function has a k value of 8. Which ordered pair is on the graph of the function?

Answers

The points on the graph of the inverse variation are of the form:

(x, 8/x)

Which ordered pairs are on the graph of the function?

An inverse variation function is written as:

y = k/x.

Here we know that k = 8.

y = 8/x

Then the points (x, y) on the graph of the function are of the form:

(x, 8/x).

So evaluating in different values of x, we can get different points on the graph:

if x = 1, the point is (1, 8)if x = 2, the point is (2, 4)if x = 3, the point is (3, 8/3)if x = 4, the point is (4, 2)

And so on.

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The sum of the measures of two alternate angles of two parallel lines is 210°. Find the two angles. (they are two answers) (one of them is not 75 degrees

Answers

The measure of the angles are 105 degrees

How to determine the angles?

The sum of the angles is given as 210 degree

Alternate angles are equal.

So, we have:

x + x = 210

This gives

2x = 210

Divide by 2

x = 105

Hence, the measure of the angles are 105 degrees

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solve x^3 = 13. use a radical sign in your answer

Answers

⊱________________________________________________________⊰

Answer:

x=∛13

Step-by-step explanation:

Take the cube root of both sides. That way, you'll get rid of the ³ next to x and leave x by itself

[tex]\large\boldsymbol{\rm{x=\sqrt[3]{13} }}[/tex]

done !!

⊰________________________________________________________⊱

Cαlligrαρɦγ

What is the correct slope-intercept form of the equation y+4=2(x−3)?

Answers

Answer:

y = 2x - 10

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

y + 4 = 2(x - 3) ← distribute the parenthesis

y + 4 = 2x - 6 ( subtract 4 from both sides )

y = 2x - 10 ← in slope- intercept form

Which statement is true?

Answers

Answer:

can't see anything in this photo because this photo is not clear

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The cannon on a battleship can fire a shell a maximum distance of 36.0 km.(a) Calculate the initial velocity of the shell. m/s(b) What maximum height does it reach? (At its highest, the shell is above a substantial part of the atmosphere--but air resistance is not really negligible as assumed to make this problem easier.) m(c) The ocean is not flat, since the earth is curved. How many meters lower will its surface be 36.0 km from the ship along a horizontal line parallel to the surface at the ship? mDoes your answer imply that error introduced by the assumption of a flat earth in projectile motion is significant here? 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According to the principle of independent assortment, there is a _____ percent chance that any tall pea plant will produce either yellow or green peas. Daniel's failure to deliver ice-cream makers and waffle makers on time resulted in a two-week delay in the opening of Sheena's new ice-cream parlor. Sheena incurred a heavy loss since she had to pay the rent for those two weeks as well as salaries to the personnel hired. In this case, which of the following remedies is a court most likely to award Sheena? Group of answer choices nominal damages liquidated damages differential damages specific performance consequential damages 0.65 more than -4.35 Mr. Smith joined ABC Fertilizers Manufacturing Company in September 2001 as a Junior Operator Trainee. Within the non-executive category, the company had five levels from G1 (the lowest grade) to G5 (the highest grade). Smith joined at G2 level. After training, he was absorbed in the Ammonium Sulphate Shop as a Junior Operator. He rose up to the level of G4 in February 2005 because of his sincere and hard work. All through these years, he kept away from union activities. He never refused or avoided any job. Very often his officers used to ask him to do additional jobs which he did willingly. Gradually Smith became a handy man for all various assignments which others might have refused. Since June 2006, Smith was regularly asked to perform certain duties which were actually to be done by a G5 level operator as the post in the higher grade was vacant. However, as per the company's rules, Smith was not eligible for promotion to the higher grade at that time. Gradually, Smith started performing all the duties attached to the higher post. About this time, Smith started taking interest in union activities. On August 8, 2007 Smith was instructed by his superior to stop one agitator pump and start another one. He was also asked to normalise the operation of the sulphate drier. 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The length of A A prime is 9.Triangle ABC is dilated to create triangle A'B'C' using point O as the center of dilation.What is the scale factor of the dilation?1/3341/4 A 2012 survey of 2,254 American adults indicates that 17% of cell phone owners do their browsing on their phone rather than a computer or other device. (a) According to an online article, a report from a mobile research company indicates that 38 percent of Chinese mobile web users only access the internet through their cell phones. Conduct a hypothesis test to determine if these data provide strong evidence that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%. The hypotheses for this test are: Assume that you are a member of a special Interest group that wants to raise taxes on certain items. Who would you present your idea to if youwanted it to be proposed as a bill? OQ=4x+2,OQ=4x+2, PQ=4x-10,PQ=4x10, and OP=3x-3,OP=3x3, determine the numerical length of OQ . Using the same resources, the country of Zanzibarus produces 12 million pounds of beef or 5 million pounds of pork. Zanizibarus has a (n) ________ in beef in contrast with pork production. A company pays each of its two office employees each Friday at the rate of $210 per day for a five-day week that begins on Monday. If the monthly accounting period ends on Tuesday and the employees worked on both Monday and Tuesday, the month-end adjusting entry to record the salaries earned but unpaid is: