ACTIVITY 2: Apply Pythagorean Theorem to complete the data below and write your answers on your answer sheet. Refer to the given examples. (2 points each number) A 1. 8 15 b 2. 18 24 3. 24 40 a C B 4. 16 20 5. 4 9 a² + b2 or Formulas: If c is unknown: c2 = If a is unknown: a2 = Ifb is unknown: b2 = c² - b2 or c= Va2 + b 2 a= vc2-b2 b = c2 - a2 = a² C2 - a2 or​

Answers

Answer 1

To completely complete the data use the formula a2 + b2 = c2 in order to find the value of the missing side.

What is the pytagorean theorem?

This is a general formula that can be used to find out the lenght of one of the sides in a right-angle triangle by knowing the other sides.

The general formula is:

a^2 + b^2 = c^2side a = base of the triangleside b = altitudeside c= hipotenuse (diagonal line)

How to use the theorem?

Replace the known sides and find the third side. For example:

a^2 + b^2 = c^25^2+6^2 = c^215 + 36 = c^251 = c^2c = √51c = 7.14

Learn more about Pythagorean Theorem in: https://brainly.com/question/14504604


Related Questions

Graph the system.
y=x2+4x+1
y−x=1
As you graph your parabola, plot the vertex as your first point, followed by a point on the parabola.

Answers

Answer:

y = 6 x + 1

y = 1 x + 1

'^' :)))))

If you help I’ll give brainlist thing pleaseeee

Answers

Answer:

a. y = 10

b. x = 5 - (5y/2)

c. y = 6x - 11

Step-by-step explanation:

a.

2(y - 3) = 4

2y - 6 = 4

2y = 10

y = 5

b.

2x + 5y = 10

2x = 10 - 5y

x = 5 - (5y/2)

c.

6x + 3y = 4y + 11

6x = y + 11

y = 6x - 11

d.

I don't know this one, sorry.

identify which of the following sequences is a geometric sequence. check all that apply. from math nation test yourself

Answers

A geometric sequence is any sequence that has a common ratio and a non-zero initial value

The sequence 2, 6, 18, 54, ..... is a geometric sequence

How to determine the geometric sequence?

A geometric sequence is represented as:

Tn = ar^(n - 1)

Where:

n represents the number of termsa represents the initial valuer represents the common ratioTn represents the current term

Assume that:

a = 2 and r = 3.

The terms of the sequence would be:

T1 = 2 * 3^0 = 2

T2 = 2 * 3^1 = 6

T3 = 2 * 3^2 = 18

T4 = 2 * 3^3 = 54

So, we have:

2, 6, 18, 54, .....

Hence, the sequence 2, 6, 18, 54, ..... is a geometric sequence

Read more about geometric sequence at:

https://brainly.com/question/24643676

PLEASE SOLVE THIS I NEED IT I GOTTA GO TO SCHOOL AT MONDAY I NEED IT ​ILL GIVE BRAINLIES

Answers

Answer:

In order to make a triangle, the sum of 2 sides must be greater than the third side

in number one 2+3=5 so no you can't make a triangle

you can do it likewise ...

Farm A has 120 sheep. of the sheep have lambs. Some of the sheep have 1 lamb and some of the sheep
have 2 lambs. The ratio of the sheep who have 1 lamb to the sheep who have 2 lambs is 3:5.


(a) What fraction of the sheep who have lambs on farm A have 2 lambs?

Answers

Answer:

75/120 = 15/24 = 5/8

Step-by-step explanation:

3 + 5 = 8 There are 8 parts

120 / 8 = 15

15 X 5 = 75

There are 75 sheeps with 2 lambs

The total number of sheep having 2 lambs in farm A is [tex]0.625[/tex].

To find the fraction of the sheep who have lambs on farm A have 2 lambs, we need to have the total number of sheep having 2 lambs in farm A.

How to determine the fraction of sheep?

According to the question, the ratio of the sheep having 1 lamb and 2 lambs is [tex]3:5[/tex] and the total number of sheep is 120.

So, the total number of sheep having 2 lambs in farm A is calculated as-

[tex]L_2=\dfrac{5}{3+5}\times 120\\=5\times 15\\=75[/tex]

Now, the fraction of the total number of sheep having 2 lambs in farm A is-

[tex]F=\dfrac{75}{120}\\=0.625[/tex]

Thus, the total number of sheep having 2 lambs in farm A is [tex]0.625[/tex].

Learn more about fractions here- https://brainly.com/question/10354322

#SPJ2

Write an expression that is equivalent to 1.5a +4.7+0.25a-0.3-0.5a

Answers

Answer:

1.25a-4.4

Step-by-step explanation:

you take :1.5a+0.25a-0.5a=1.25

then:4.7+0.3=4.4

1.25a-4.4

but am not sure sorry

Answer:

1.25a + 4.4

Step-by-step explanation:

Collect like terms and simplify

1.5a +4.7 + 0.25a - 0.3 - 0.5a = a(1.5 + 0.25 - 0.5) + (4.7 - 0.3) = 1.25a + 4.4

Can y’all help me on this graph work asap pls

Answers

Just divide one of number of tickets by which ever of the ticket prices that goes on a line, like for example $24 divided by 3 equals $8 a ticket

Please help me con la resolución porfa

Answers

Answer:

2,591 esta bien la respuesta

Find the measure of the angle given

Answers

Step-by-step explanation:

This is a cyclic quadrilateral, so angles E and P are supplementary.

Since angle P is 100 degrees, angle E is 180-100=80 degrees.

Which ones are correct?

Answers

Answer:

2 only

Step-by-step explanation:

This answer assumes that we can assume that lines which look straight are straight.
Straight angles are also known as 180 degree angles, and if a straight angle is cut in half, then the two parts must add up to 180 degrees. In the first picture, we see that 90-x and 90+x are the angle measurements.
(90-x)+(90+x)=90+90+x-x=180 degrees
the second one has angles 97 and 83, which add up to 180 degrees
the third one has angles which add up to more than 180 degrees, so any answer containing the third one as being correct is wrong.
The answer should be 1 and 2, but, that isn't an answer. Looking back at 1, it can be seen that if x is a negative number, or if x was a number greater than 180 degrees, then the picture would not work, so 1 is invalid. this leaves only 2, so 2 only.

A giant tortoise can walk about
1/10 meter per second on land. A cooter turtle can walk about
1/2 meter per second on land.
How long would it take a giant tortoise to travel 2 meters?
2 ÷ 1/10 = 2 ? 10 =

Answers

Answer:

its already on brainy hope this helps

Step-by-step explanation:

The rate of giant tortoise is 1/10 meters per each second.

The rate of cooter turtle is 1/2 meters per each second.

How long would it take a giant tortoise to travel 5 meters?

1 second : 1/10 m = X : 5 m

1/10x = 5

x = 50 seconds

How much longer would it take a giant tortoise than a cooter turtle to travel 10 meters on land?

1 second : 1/2 m = X : 10 m

1/2x = 10

x = 20 seconds

So the giant turtle can travel 5 meters in 50 seconds.

So the cooter turtle can travel 10 meters in 20 seconds.

Complete the calculations so that each shows the correct sum of difference (GIVING 30 POINTS)

Answers

Answer:

See below ↓↓↓

Step-by-step explanation:

a) 2 . 1 4 0             b) 2 9 . 9 9          c) 6 . 1 5 7

+ 1 . 7 2 5              +    1 . 4 2             - 1 . 0 0 9

   3 . 8 6 5                 3 1 . 4 1               5 . 1 4 8

Can someone solve this for me please.

Answers

Answer:

y= .5x+2

Step-by-step explanation:

Slope= 2/4 (rise over run) = .5

B/ y intercept = 2

y=.5x+2

PLEASE HELP I AM CHOOSING BRAINLIEST

Answers

Answer:

0

Step-by-step explanation:

since (x + 7) is a factor (aka. a multiple of) (x + 7) that means there cannot be a remainder. h(x) = n(x+7) , n being any whole number

for example

2(x+7) would be a factor of (x+7) and 2(x+7)/(x+7) = 2 will not leave a remainder

omg please help its due by 12 am! the sum of 2 numbers is 69. the larger number is 3 less than twice the smaller number .find the numbers. show your work!

Answers

Answer:

The smaller number is 24

The larger number is 45

Step-by-step explanation:

smaller number  = x

Larger: 2x - 3

Smaller + larger = 69

x + 2x - 3 = 69                        Combine left

3x - 3 = 69                              add 3 to both sides

3x - 3+3 = 69+ 3                     Combine

3x = 72                                    Divide by 3

3x/3 = 72/3                        

x = 24

Larger number = 2*24 - 3

Larger number = 45

PLS HELP!!!!For each sequence determine whether appears to be a ARITHMETIC or GEOMATRIC or neither ( pictures attached)

Answers

Answer:

The first one is geometric. The second one is gemetric. The last one is arithmetic.

Step-by-step explanation:

PLSSS help if you TURLY know THISS

Answers

Answer:

that would be C.) 1 and 1/8

Step-by-step explanation:

becuase the denominator never changes and you would make it a mixed number versus leaving it as 9/8

Answer: c

Step-by-step explanation:

Add the numerators

7+2=9

8 out of the 9 will make a whole number

9-8=1

The last 1 in the numerators will make 1/8

1 and 1/8

Find the area of a circle with a radius of 21 inches. Use 22/7 for pi .

Answers

Answer:

okay so the area is 1386inches2

Step-by-step explanation:

[tex]area \: of \: a \: circle = \pi {r}^{2} \\ = \frac{22}{7} \times {21}^{2} \\ = \frac{22}{7} \times 441 \\ = 1386 {inches}^{2} [/tex]

Find the missing
information.
Arc length-1.5 ft
Radius-?
Central angle-pie/4 rad
Round to the nearest thousandth.

Answers

Answer:

1.91 ft

Step-by-step explanation:

Formula

l = rα

where :

l = arc lengthr = radiusα = central angle

Solving for r

l = rαr = l/αr = 1.5/(π/4)r = 6/πr = 1.90985932 ftr = 1.91 ft (nearest thousandth)

Is this just a fancy way of saying to graph the point (2,-6) or am I supposed to graph a line?​

Answers

Answer:

I do know what that is saying it's saying the rise of the line is going to be -6 and the run is going to be 2.

Step-by-step explanation:

Your supposed to graph a line I don't exactly remember how to do it but yeah you're supposed to graph the line.

2,5,8,...
Find the 41st term.

Answers

Answer:

Step-by-step explanation:

hello :

this is  the arithmetic -sequence because : 8-5=5-5=3 (comon dif)

An =A1+(n-1)r   calculate......... (A1=2   and  r=3   and  n=41) continu...

Answer:

122

Step-by-step explanation:

Solve for x and round to nearest tenth <3

Answers

it might be 45! best of luck:)

What is the scale factor???

Answers

Answer:

I believe your answer is 2 because that is the difference in the width of the cars.

Using the Rule of 72, how long would it take for Anthony to double his investment of $5,000 in a
money market account that earns 7% per year?

Answers

Answer: About 10.2857 years

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

Explanation:

For the rule of 72, we divide the number 72 over the interest rate without the percent sign. We do not convert to decimal form. Simply erase the percent sign.

For example, if the interest rate was 6%, then we estimate it would take 72/6 = 12 years for the amount to double.

In this case of a 7% interest rate, the doubling time is roughly 72/7 = 10.2857 years.

-------------

Extra Notes:

The starting deposit doesn't matter, so we can ignore the "5000". The interest rate must stay the same the entire time.

choose the imensions that represen this rectlangl



answer

length:2/5
width: 3/6

length:2/4
width:3/4

length:2/3
width:3/5

length:2/3
width:3/4

Answers

Answer:B

Step-by-step explanation:I hope it help

Tyrell and Marianne start at the same point. Tyrell walks 2.5 miles north in a straight path. Marianne walks 6.0 miles east in a straight path. How many miles apart are they at the end of their walks rounded to the nearest hundredth mile?

Answers

Answer: 6.5 is the answer.

Step-by-step explanation:

What is the surface area of the cylinder with height 4 in and radius 5 in? Round your answer to the nearest thousandth.

Answers

Answer:

282.74

Step-by-step explanation:

Answer:

[tex]\fbox{Surface area of cylinder = 282.6 sq. in.}[/tex]

Step-by-step explanation:

Given:

Shape of object = cylinder

height of cylinder= 4 inches

radius of cylinder= 5 inches

To find:

surface area of cylinder = ?

Solution:

we know that,

[tex]surface \: area \: of \: cylinder =2\pi{rh} + 2\pi {r}^{2}\\Substituting \:the \:constant\: (π =3.14)\\and \:given\: data,\\2\pi{rh} + 2\pi {r}^{2} \: =\\ 2×3.14×5×4+2×3.14× {5}^{2} \\2\pi{rh} + 2\pi {r}^{2} = 125.6 + 157 \\ 2\pi{rh} + 2\pi {r}^{2} = 282.6\\ \fbox{Surface area of cylinder = 282.6 sq. in.}[/tex][/tex]

THANKS FOR JOINING BRAINLY COMMUNITY!

Suppose that a family wants to start a college fund for their child. if they can get a rate of 5.2%, compounded monthly, and want the fund to have a value of $55,500 after 20 years, how much should they deposit monthly? assume an ordinary annuity and round to the nearest cent. a. $131.93 b. $2,662.49 c. $1,643.30 d. $3,446.64 please select the best answer from the choices provided a b c d

Answers

Answer:

a. $131.93

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

edge

An equilateral triangle with side length 19 cm is shown in the diagram, work out the height of the triangle. Give your answer rounded to 1 DP. The diagram is not drawn accurately.

Answers

Answer:

h = 16.5

Step-by-step explanation:

Remark

The formula below really is the Pytharagan formula disguised.

h^2 = hypotenuse (side)^2 - (1/2 side)^2

Givens

side = 19 cm

Solution

h^2 = 19^2 - (1/2*19)^2      Substitute given into formula

h^2 = 361 - (9.5)^2            square 9.5

h^2 = 361 - 90.25             Subtract

h^2 = 270.75                    Take the square root of both sides

√h^2 = √270.75

Answer: h = 16.5

Sasha is mailing a photo box that has the dimensions shown in a rectangular box that is 12.5 inches long, 4.2 inches wide, and 12.5 inches tall. If one bag of packing material holds 75 cubic inches of material, how many bags does Sasha need to buy to fill the space around the photo box?

Answers

The number of bags that Sasha would need to fill the space around the photo box is 9 bags.

How many bags would be needed?

The first step is to determine the volume of the photo box. The photo box has the shape of a cuboid. A cuboid is a three-dimensional object. It has six sides and six vertices.

Volume = length x width x height

12.5 x 4.2 x 12.5 = 656.25

Bags needed - 656.25 / 75 = 9

To learn more about how to determine the volume of a cuboid, please check: https://brainly.com/question/8890358

Other Questions
What are the essential components of successfully competing in the field events:Power, technique, and timingPower, speed, and strengthTechnique, flexibility, and speedNone of the above The students in one social studies class were asked how many brothers and sisters (siblings) they each have. The dot plot here shows the results. How many of the students have six siblings? 34 12 Please answer this question what challenges arise when nuclear material is removed from a power plant? Which of the following correctly describes a positive way in which hydrogen fuel cell technology can affect environmental quality or way of life? It is easy to store safely and distribute globally. It allows for the same efficiency as gasoline-run engines. It can be used to power small and large electrical systems. It can only be used without combining with other energy resources. Where did the gender of nouns come from in Spanish? Explain why the available amount of water per person differs between countries ( 20 points and brainliest! )Match the function with the organization.1. Tennessee Valley Authority2. Social Security Act3. Civilian Conservation Corps4. National Industrial Recovery Act5. Federal Emergency Relief ActHelp for businessesEmployment for young menPrograms for the elderlyWork relief to statesFlood control Write an equation in slope-intercept form that is perpendicular to 4x - 5y = 1 and passes through (-3, 4). Brainliest?! :]What is the slope of a line parallel to this line?What is the slope of a line perpendicular to this line? Solve the equation and show your work. A . 17x + 12 = 54 - 4x B . 5x - 10 + 2x = 6(x + 1) - x PLEASE HELP DUE IN 5 MIN The hypotenuse of a right triangle ensures 17cm and one of its legs measures 13cm Why should consumers rights be ensured? Write in a sentence. Of the four geographic factors, which one do you think had the greatest impact on the war? Explain your reasons Which one is it(1, 100)(3, 49)(4, 50)(2, 74) Fill in the blanks to explain whathappens in this part of the story.Ms. Walker doesn't understand whyHester isHester tells Ms. Walker she has anidea about her. Ms. Walkersays she willtheidea, but Hester is still worried. NEED HELP ASAP!!!!!!!!!!!!!!! Trends among category killers such as Staples for office supplies and Best Buy for electronics include price matching and ________ to compete with online retailers. Select the correct answer from each drop-down menu. the four vertices of an inscribed quadrilateral divide a circle in the ratio 1 : 2 : 5 : 4. the four angles of the quadrilateral are , , , and .