The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.

The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.

Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.

Answers

Answer 1

Answer:

Step-by-step explanation:

Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.


Related Questions

A company wants to decrease their
energy use by 15%. If their electric
bill is currently $2,100 a month,
what will their bill be if they are
successful? Give your answer
accurate to at least the nearest
dollar.

Answers

15% decrease means the bill would be 85% of the original bill ( 100% -15% = 85%)


multiply the current bill by 85%

2100 x 0.85 = 1.785


the bill would be $1,785

Find the missing side lengths. Leave your answers as radicals in simplest form.
1)
2)
1459
712
b
b

45°
a
X
3)
D)
X
у
45 6/3
459
912
X
x

Answers

Answer:

1) y = 7 x = 7
2) y = 4.243 x = 4.243
3) y = 7.348 x = 7.348
4) y = 9 x = 9

Step-by-step explanation:

just use a calculator and put in the given information
search Right Triangle Side and Angle Calculator

Answer:

Below in bold.

Step-by-step explanation:

1. This is an isosceles right angled triangle.

x = y.

The ratio of the sides in this triangle are 1:1:√2

So 1/√2 = x / 7√2

√2 x = 7√2

x = 7.

y = 7.

The other 3 are solved in a similar way as they are all isosceles right angled triangles:

2. b = 6 and a = 6√2.

3. 1 / √2 = x / 6√3

√2 x =  6√3

x  = 6√3 / √2

x = 6√3 * √2 / 2

= 3√6

y = 3√6.

4.  x = y = 9.

10 1/5 • 4 1/4 • 2 not simplified please

Answers

51/5 × 17/4 ×2

=51/5 ×17/2

= 867/10

PLEASE HELP ME PLEASE

Answers

Answer

true

Step-by-step explanation:

Answer:

I think true because that's the only star that is closest to the earth

Beth Hazelton purchased a compact vehicle with an $18,240.00. MSRP including the delivery and title fee. She selected a leather interior which costs 5 times the upgraded stereo system. If the total cost of the vehicle, including a 7% sales tax, was $21,365.20 find the cost of the (a) stereo system and (b) leather interior. Use the example in the book to help you with solving this problem.

Answers

Answer:

price of leather thingy= $2906.62
price of stereo system = $581.33

Step-by-step explanation:

final cost minus cost of total before adding the leather.
  21,365.20
- 18,240.00
= $3125.2

to find the exact price of the leather since the 7% tax was included in the price we mulitply by .93
3125.2 x .93 = 2906.62
we know the stereo is 1/5 of the price of the leather so we divide by 5 2906.63 ÷ 5 = 581.33

there u go! pls give brainliest :D

Abdul is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with a green fabric.

How much fabric does Abdul need in order to cover 8 of these blocks?

Answers

Step-by-step explanation:

4cm×2cm×1/2=4cm³

4cm³×8=32cm³

I think the answer is 176

Step-by-step explanation:

please tell me if I'm wrong

The field trip to the science museum will cost $22 per student. If Mrs. Robertson has 24 students, how much money will she collect in all?

Answers

Answer:

528

Step-by-step explanation:

22x24=528

Answer:528$

Step-by-step explanation: you have to do 22 dollars times 24 students which would be 528

Please help!! I will give brainliest :)

Answers

Answer: I think its 75 percent

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

The shaded is part of the poster 9/12

To convert 9/12 into a percent

100 ÷ 12 = 8.3333333333333

[tex]\frac{9*8.3333333333}{12*8.3333333333} = \frac{75}{100}[/tex]

In the following diagram,
A

B
.




Use complete sentences to explain how the special angles created by the intersection of
A
and
B
by
D
can be used to solve for
x
.
Solve for
x
, showing all of your work.
Find the measure of

6
.

Answers

Answer:

x=24

<6=79°

Step-by-step explanation:

We can see that if we add 3x+7 and 4x+5, it will total a 180-degree angle.  This allows us to solve for x. 3x+7+4x+5=180 7x+12=180 7x=180-12 7x=168 x=24 We can also see that angle six is the same as the angle 3x+7.  Since we know x=24, we can solve for those angles. 3(24)+7= 72+7=79 So <6=79 degrees

If a puzzle measures 14 in x 16 in, how many inches of frame for the puzzle?

Answers

There will be 224 inches :)

I typically give 12% of money I receive to my church. My uncle died recently and left me some money. I donated $408 to my church in his memory. How much did he leave to me in his will?

Answers

your uncle left you with "x" total, which is the 100%, now, we also know that 408 is 12% of that, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 408& 12 \end{array} \implies \cfrac{x}{408}=\cfrac{100}{12}\implies \cfrac{x}{408}=\cfrac{25}{3} \\\\\\ 3x=10200\implies x=\cfrac{10200}{3}\implies x=3400[/tex]

3 times the age of Felicia is 4 more than the age of Asare.in 3 years,the sum of their ages will be 30 years,find their present age​

Answers

Answer:

Asare is 17 and Felicia is 7.

Step-by-step explanation:

let x be felicia's current age and y be asare's age. The equation for their age is y=3x-4. If 3x-1 + x+3 = 30, that means that 4x+2=30, so 4x=28. If 4x=28, x=7. Felicia is 7 and 3*7-4=17.

R (-3,1) and S (-1,3) are points on a circle. If RS is a diameter, find the equation of the circle.​

Answers

Answer:

[tex]\sf (x+2)^2+(y-2)^2=2[/tex]

Step-by-step explanation:

If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.

[tex]\sf midpoint=\left(\dfrac{x_s-x_r}{2}+x_r,\dfrac{y_s-y_r}{2}+y_r \right)[/tex]

             [tex]\sf =\left(\dfrac{-1-(-3)}{2}+(-3),\dfrac{3-1}{2}+1 \right)[/tex]

             [tex]\sf =(-2, 2)[/tex]

Equation of a circle:   [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center and r is the radius)

Substituting found center (-2, 2) into the equation of a circle:

[tex]\sf \implies (x-(-2))^2+(y-2)^2=r^2[/tex]

[tex]\sf \implies (x+2)^2+(y-2)^2=r^2[/tex]

To find [tex]\sf r^2[/tex], simply substitute one of the points into the equation and solve:

[tex]\sf \implies (-3+2)^2+(1-2)^2=r^2[/tex]

[tex]\sf \implies 1+1=r^2[/tex]

[tex]\sf \implies r^2=2[/tex]

Therefore, the equation of the circle is:

[tex]\sf (x+2)^2+(y-2)^2=2[/tex]

11. Determine whether the events are independent or dependent. Explain your answer.
(3 points each)
a. Randomly choosing an oatmeal cookie, eating it, and then choosing a peanut butter
cookie from a container of cookies.
b. Drawing the name "Sally" from a hat and replacing it, and then drawing the name
"Malcolm" from the hat.

Answers

The fact that one chooses an oatmeal cookie, eating it and then choosing a peanut butter cookie from a container of cookies is an independent event.

What is a dependent event?

It should be noted that dependent events influence the probability of the other events.

In this case, the fact that one chooses an oatmeal cookie, eating it, and then choosing a peanut butter cookie from a container of cookies is an independent event.

On the other hand, drawing the name "Sally" from a hat and replacing it, and then drawing the name "Malcolm" from the hat is a dependent event.

Learn more about dependent event on:

https://brainly.com/question/1673286

Help Please Quick! Pleasee

Answers

Answer:

you can search them up! Just search up fractions calculator

Step-by-step explanation:

Express 9 2/3 out of 100 as a percent .

Answers

Answer:

9 2/3% (or 9.66666666666%)

Step-by-step explanation:

A percent is a ratio out of 100, as this answer is out of 100, the percent is just 9 2/3%.

y=5/2x-9 find the y intercept

Answers

Answer:

(0,-9) You have to substitute 0 for x and solve for y

y by the power of 2 + 4=20

Answers

Answer:

y is equal to 4 if that's what ur asking for

Answer:

16 if ur asking for y^2+4=20

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

54

Step-by-step explanation:

Multiply:

37x37=72

Subtract:

180-72=108

Divide:

108/2=54

Answer:

143 degrees

Step-by-step explanation:

37(2) + 2x = 360
74 + 2x = 360
2x = 286

x = 143

Hope this helps :)

4,5,6,6,7,7,8,8,8,8,8,9,9

What is the standard deviation and variance for these students' quiz scores?

Answers

Standard deviation = 1.46
Variance = 2.13

A light bulb's brightness is reduced when placed behind a screen. The amount of visible light produced by the light bulb decreases by 25% with each additional layer that is added to the screen. With no screen, the light bulb produces 750 lumens. The lumen is a unit for measuring the total quantity of visible light emitted by a source.

Select the correct equation that can be used to represent the lumens, L, after x screen layers are added.

A.
L = 750(1.25)x
B.
L = 750(0.75)x
C.
L = 750(0.975)x
D.
L = 750(0.25)x

Answers

Answer:

b

Step-by-step explanation:

The required equation that can be used to represent the lumens, L, after x screen layers are added is [tex]l = 750(0.75)^x[/tex]. Option B is correct.

What is the equation?

The equation is the relationship between variables and is represented as y = ax+ v an example of a polynomial equation.

Let L be the power of the bulb in lumens and x be the number of layers added to the screen. Since every layer decreases the brightness of the blubs by 25%, The sequence in which the light brightness gets decreased.

For number of screen x = 1
= 750(1 - 0.25)
For number of screen x = 2
= 750(1 - 0.25)(1 - 0.25)
For number of screen x = 3
=750(1 - 0.25)(1- 0.25)(1-0.25)
.... so on

The above observation can be computed as power (1 - 0.25)  increasing after adding a number of screens,

Now
[tex]L = 750(1 - 0.25)^x\\L = 750(0.75)^x[/tex]

Thus, The required equation that can be used to represent the lumens, L, after x screen layers are added is [tex]l = 750(0.75)^x[/tex].

Learn more about the equation here:

brainly.com/question/10413253

#SPJ5

Find the distance between Q and R

Answers

Answer:

Step-by-step explanation:


A rare species of insect was discovered in the rain forest. In order to protect the species,
environmentalists declare the insect endangered and transplant the insects into a protected area.
The population of the insect t months after being transplanted is given by P(t).
P(t) =
60(1+0.4)
0.01t+3
a. How many insects were discovered? In other words, what was the population when t = 0?
b. What will the population be after 5 years? Round to the nearest whole insect.

Answers

Using the given function, it is found that:

a) 20 insects were discovered.

b) The population after 5 years will be of 417 insects.

What is the function for the number of insects after t months?

As stated in the exercise, it is given by:

[tex]P(t) = \frac{60(1 + 0.4t)}{0.01t + 3}[/tex]

Item a:

[tex]P(0) = \frac{60[1 + 0.4(0)]}{0.01(0) + 3} = \frac{60}{3} = 20[/tex]

20 insects were discovered.

Item b:

5 years = 60 months, hence:

[tex]P(60) = \frac{60[1 + 0.4(60)]}{0.01(60) + 3} \approx 417[/tex]

The population after 5 years will be of 417 insects.

More can be learned about functions at https://brainly.com/question/25537936

When do you say that a given quadrilateral is a parallelogram?

Answers

Answer:

If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D. We know that the sum of the angles of a quadrilateral is 360o.

Step-by-step explanation:

hope that helps

label the angle that is 57° in this 2-dimensional figure.

Answers

The measure of the angle that is 57° in this 2-dimensional figure is the angle vertically opposite to the angle 57  (the angle formed at X)

Line and angles

From the given diagram, we have the following:

The two angles on the straight line are 123 degrees and 57 degrees.

<F + 57 = 180

<F = 180 - 57

<F = 123 degrees

Hence the measure of the angle that is 57° in this 2-dimensional figure is the angle vertically opposite to the angle 57  (the angle formed at X)

Learn more on lines and angles here: https://brainly.com/question/25770607

What is the median of this data set?
{13, 13, 13, 15, 15, 16, 16, 17, 17}

Answers

{13, 13, 13, 15, 15, 16, 16, 17, 17}

the median is 15

Answer:

it is 15.

Step-by-step explanation:

the median is the middle number in the data set. in this case, 15 is in the middle.

help me plssssssssss

Answers

Answer:

<E=<I (it is a rotated triangle of 180 degrees)

<F=<H (they are both right triangles)

<EGF=<IGH (vertical angles are congruent)

segment FE=segment IH (cpctc)

segment EG=segment HG (cpctc)

segment FG=segment IG (the little dashes on the segments mean that they are congruent.

Find the measures of the interior angles?

Answers

Answer:

well it's says for a its 35° and B is 100° to find x it would be 180-(35+110)=x

Step-by-step explanation:

180-(35+110)=180-145=35. so x=35°

In which number is the value of the 7 ten times the value of the 7 in the number 17,862

Answers

Answer:

Your answer would require a 7 in the hundreds place

Step-by-step explanation:

Find a function for the graph below.
a. f(t) = 3 cos 41
b. ft) = 8 sin 3t
fit) = 3 sin 41
d. (t) = 3 cos 6

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The given function has Amplitude of 3, and by seeing it we can conclude that it's a sine function.

Therefore, we can conclude that the required Answer is ~

[tex]\qquad \sf  \dashrightarrow \:c. \: f(t) = 3 \sin(4t) [/tex]

The sinusoidal function is represented as y = 3 sin 4t. Then the correct option is C.

What is a sinusoidal Function?

It is a function that repeats itself in a particular time interval.

The sine function is given as

y = A sin (wt + Ф)

where A is the amplitude, w frequency, and Ф is the phase difference.

From the graph, the value of the amplitude will be 3, the frequency will be 4, and the phase difference will be 0. Then the equation will be

y = 3 sin4t

More about the sine function link is given below.

https://brainly.com/question/3876065

#SPJ2

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