The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals.

Answer:

3 points

Step-by-step explanation:

A function is a relation that maps elements of a set for the inputs (the domain, usually denoted with the variable x) into elements of another set, the set of the outputs (the range, usually denoted with the variable y).

So the relation can be represented with points (x, y), which means that point x is being mapped into point y.

Such that the needed condition is that each element of the domain is mapped into only one element in the domain.

So for example, if for a relationship we have the points (a, b) and (a, c)

The point a is being mapped into two different outputs.

Now let's go to our problem, we have the points:

(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2)

If we have repeated inputs, we need to remove points until we have one of each.

We can see that the inputs -3, 1, and 2 are repeated one time.

Then we need to remove one of each, for example if we remove the second, fourth and sixth points, the set becomes:

(-3, 2), (1, 4), and (2, -4)

This is a function.

Then we need to remove 3 points.

Answer:

C) 3 POINTS

Step-by-step explanation:

ON EDGE 2021

Answer:          

Step-by-step explanation:

Step-by-step explanation:

diagonal of a polygon formular =sum of diagonal =5-3-5/2. A triangle do not have diagonal

Answer:

19.0784708249

Step-by-step explanation:

Answer:

(2,-1)

Step-by-step explanation:

The ys in both questions are isolated on one side of the equation in both. The numerical coefficient of both is 1. Therefore you should equate the the left side of each equation to the other left side. The solution is the easiest one to solve because there is only 1 unknown on both sides.

4x - 9 = x - 3                      Subtract x from both sides.

4x-x - 9 = -3                       Combine

3x -9 = - 3                          Add 9 to both sides

3x - 9+9 = - 3+9

3x = 6                                Divide by 3

3x/3 = 6/3

x = 2

===============

Now use the second equation to solve for y

y = x - 3

y = 2 - 3

y = -1

==============

The solution is (2,-1)

9514 1404 393

Answer:

  12

Step-by-step explanation:

Let x be the smallest number, and y be the middle number. Then the largest number is 2x and the sum is ...

  x + y + 2x = 27   ⇒   y = 27 -3x

The requirement that the middle number is y gives rise to the inequality ...

  x < y < 2x

Substituting for y, we have ...

  x < 27 -3x < 2x

Adding 3x gives us ...

  4x < 27 < 5x

These two inequalities give us the requirement that ...

  27/5 < x < 27/4

  5.4 < x < 6.75

The only whole number in that range is x = 6. So, the greatest number is 2×6 = 12.

The greatest number is 12.

Answer:

90

Step-by-step explanation:

There are 10 ones in 1 ten.

So if you have 9 tens then...

10 x 9 = 90

Answer:

::::::::::::::::::

5:2

9514 1404 393

Answer:

  f  2^4 + 2^3 ⋅ 3^2

Step-by-step explanation:

16 +2·36 = 16 +2·4·9 = 16 +8·9

  = 2^4 + 2^3 · 3^2 . . . . . matches choice F

_____

Since you're familiar with your multiplication tables, you know ...

  4 = 2·2

  8 = 2·4 = 2·2·2 = 2^3

  16 = 2·8 = 2·2·2·2 = 2^4

  9 = 3·3 = 3^2

  36 = 4·9

The exponent signifies repeated multiplication.

Answer:

f  2^4 + 2^3 ⋅ 3^2

Step-by-step explanation:

Answer: x = 14/5.   Because first we Distribute and get 2x + 6 = 8 - 3(x-4) then, we Distribute it again 2x + 6 = 8 - 3x + 12 then we Add the numbers and get 14/5

Answer:

Step-by-step explanation:

2(x +3) = 8 - 3 (x-4)

=> 2x + 6 = 8 - 3x + 12

=> 2x + 3x = 8 - 6 + 12

=> 5x = 14

[tex] = > x = \frac{14}{5} [/tex]

=> x = 2.8 (Ans)

Answer: R47.66

Step-by-step explanation:

Assuming this amount of R42.42 is Indian Rupees, then the relevant VAT rate to use is 12.36% which is the VAT rate in India.

The VAT inclusive amount is therefore:

= 42.42 * ( 1 + tax rate)

= 42.42 * ( 1 + 12.36%)

= R47.66

Answer:  

430 is the cost of catering 18 less than 100 guests.

Step-by-step explanation:

f(g(18))=f(100-18)=f(82)=20+5*82=430

===========================================================

Explanation:

Point L is located at (-8, 1) while P is at the point (7,7)

Let's apply the slope formula for these two points

m = (y2-y1)/(x2-x1)

m = (7-1)/(7-(-8))

m = (7-1)/(7+8)

m = 6/15

m = (3*2)/(3*5)

m = 2/5 is the slope of line LP

A slope of 2/5 means that each time you go up vertically 2 units (rise), you move to the right 5 units (run). In short, it's "up 2, over to the right 5". A positive slope means we move upward as we move from left to right.

Answer:

n = 10

Step-by-step explanation:

n is the altitude of the right triangle.

Apply the right triangle altitude theorem/geometric mean theorem to find n.

Which is:

h = √(xy)

Where,

h = n =?

x = 5

y = 20

Plug in the value into the equation

n = √(20*5)

n = √100

n = 10

Answer:

Step-by-step explanation:

Answer:

D or the last option

Step-by-step explanation:

For A: If we multiply 10 by 10 it gives us 100 and 8 by 10 is 80 and this off by 20 and we need to find number that are the closest.

For B: 16 by 10 is 160 and 16 by 8 is 128 and this has a big difference of 32. This also a big number and I don't know why a team would need 128 hotdogs.

For C: 40 by 10 is 400 and 8 by 40 is 320 and this wayyy of by 80. And i doubt a team needs 320 hotdogs.

For D: 4 by 10 is 40 and 8 by 4 is 32 this is only off by 8 and compared to the other options is the most closest and 32 hotdogs for a team should be reasonable.

Step-by-step explanation:

Given

d1 = 6 miles

d2 = 19 miles

d3 = ?

d1+d2+d3 = 50

6+19+d3 = 50

25+d3 = 50

d3 = 50 - 25

= 25miles

Answer:

Step-by-step explanation:

a) Number of girls:

Percentage:

b) Number of students prefer watching TV:

Percentage:

Answer:

no of percentage of girls=no of girls/total ×100%

=87/150×100%=58%

percentage of the students prefer watching TV

=total no the students prefer watching TV/total std.×100%

=84/150×100%=56%

Answer:

A

Step-by-step explanation:

To figure out when the object hit the ground you need to set h(t)=0, after this you need to find the number that when it is plugged in for t makes the equation equal to 0

Answer:

Step-by-step explanation:

b + g = 8x

The polynomial 49 · x · y + 34 · y - 72 · z has three variables (x, y, z) and each of these variables has a degree of 1.

Variables and degrees are the most important features in polynomials. A variable is a letter that represents at least one value of an expression and the degree of the variable is the maximum number of the exponent associated to the variable. According to the statement, the polynomial has three variables (x, y, z), each of them has an degree of 1, that is:

grade (x) = 1, grade (y) = 1, grade (z) = 1

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Answer:

second term: 9

4th term:81

[tex](3rd \: term)^{2} = 9 \times 81[/tex]

=729

[tex] \sqrt{729} = 27[/tex]

3rd term=27

[tex] {9}^{2} = a1x27 \\ 81 = 27a1[/tex]

a1=3 the first term

[tex]81 = 3 \times {q}^{3} [/tex]

[tex] {q}^{3} = 27[/tex]

q=3

[tex]s = 3x \frac{1 - {3}^{5} }{1 - 3} = 364.5[/tex]

Answer:

y = 9

Step-by-step explanation:

9514 1404 393

Answer:

  a) <8.356, 9.959>

  b) <-0.605, -1.663>

  c) <-5.023, 2.9>

Step-by-step explanation:

Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)

If you want to do these calculations by hand, the conversion is ...

  <r, θ> ⇒ <r·cos(θ), r·sin(θ)>

In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.

Answer:

I think it's C.

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Step-by-step explanation:

Question Completion:

California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice.

If the underlying population SDs are equal, a simple random sample of 1000 people in California is

(i) about half as accurate

(ii) about 1/V2 times as accurate

(iii) about as accurate

(iv) about V2 times as accurate

(v) about twice as accurate

as a simple random sample of 1000 people in New York State.

Answer:

If the underlying population SDs are equal, a simple random sample of 1000 people in California is

(i) about half as accurate

as a simple random sample of 1000 people in New York State.

Step-by-step explanation:

Since the population of California is about 40 million, which is twice as many people as in New York State (approximately 20 million), in taking a sample size, that of California supposed to be as twice as New York's.

Therefore, if the random sample of 1,000 people is taken from California, just as a random sample of 1,000 people is also taken from New York State, we can conclude that the accuracy of population standard deviation of California will be about half as accurate as the standard deviation of New York's population.

This is because accuracy is enhanced by a larger sample size.  This means that if the sample size of California is 2,000, the SD would have been equally as accurate as New York's.

; 134

a:8

n:44

3.6

3.6

P,ob.Z);Jlty : 1 - P(:

<z<-

[ - ]]p(-2.98 ' z ' 2.98)]

[ -]p(z ' 2.98) - p(z ' -2.98)]

[ - E0.9986 - 0.0014]

=0.0028

The probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.

To determine the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters, we can use the Central Limit Theorem and assume that the sample mean follows a normal distribution.

Given:

Mean diameter of the population (μ) = 134 millimeters

Standard deviation of the population (σ) = 8 millimeters

Sample size (n) = 44

Difference from the population mean (d) = 3.6 millimeters

To find the probability, we need to calculate the z-score and then find the corresponding area under the normal curve.

First, calculate the standard error of the mean (SE):

SE = σ / sqrt(n)

SE = 8 / sqrt(44) ≈ 1.206

Next, calculate the z-score using the formula:

z = (x - μ) / SE

For a difference of 3.6 millimeters, we have:

z = (3.6 - 0) / 1.206 ≈ 2.988

Using a standard normal distribution table or a calculator, we can find the area to the right of the z-score (greater than 2.988). The area represents the probability.

P(z > 2.988) ≈ 0.0014

Rounding to four decimal places, the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.

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Answer:

D)

Step-by-step explanation:

TY is a ray.

FR is a segment.

Ray TY intersects segment FR at point P.

Answer: D)

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Answer: TY intersects FR at point P

Explanation:

I hope this helped!

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After answering the question provided, we can predict that the result will be as in the triangle by Pythagorean theorem = [tex]\sqrt{12^2 - 4^2}[/tex] => N = [tex]\sqrt{144 - 16}[/tex] => n = [tex]\sqrt{132}[/tex]

A triangle is a polygon because it includes four or so additional parts. It features a simple rectangular shape. A rectangle having edges A, B, and C is referred to as a triangle. When the sides are actually not collinear, Euclidean geometry yields a single plane and cube. If a triangle contains three parts and three angles, it is a polygon. The intersections of a triangle's three sides are referred to as its corners. The sum of a triangle's sides is 180 degrees.

by Pythagorean theorem

n = [tex]\sqrt{12^2 - 4^2}[/tex]

N = [tex]\sqrt{144 - 16}[/tex]

n = [tex]\sqrt{132}[/tex]

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