Pythagorean Theorem. Show your work.

Pythagorean Theorem. Show Your Work.

Answers

Answer 1

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

12^2 + 15^2 = c^2

144 + 225 = c^2

144 + 225 = 369^2

√369 = 19.21


Related Questions

A teacher bought 12 sheets of stickers to use on the homework of her students. Each sheet had 48 stickers. At the end of the year, the teacher had 123 stickers remaining.
Estimate how many stickers the teacher used.

Answers

Answer:

453

Step-by-step explanation:

12×48=576 (number of stickers she has)

576-123=453 (number of stickers she had-number of stickers she had left)

Plss help will give Brainliest!!!! ​

Answers

Answer:

1/6

Step-by-step explanation:

Which angles are not supplementary

Answers

Answer: Choice c)

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

Explanation:

Choice a) can be ruled out because angles A and D are supplementary. Supplementary angles add to 180 degrees by definition. They form a straight line or straight angle.

Choice b) and choice d) are eliminated for similar reasoning as choice a).

Choice c) is the only thing left. It turns out that angles B and D are not supplementary, but rather they are vertical angles. They are opposite one another in this X shape. Vertical angles are always congruent.

Note: Angles B and D are supplementary if and only if the angles are 90 degrees each.

In number 1783429 write the follwings:

i)Write rhe digit that is in the ten thousand place.

ii)Successor of the number​

Answers

Answer:

i) 8

ii) 9

Step-by-step explanation:

For i):

1 = million

7 = hundred thousand

8 = ten thousand place

3 = thousand

4 = hundred

2 = tens (twenty)

1 = unit (one)

For ii):

The successor of a number is the number that comes after the given number. The successor of a given number is 1 more than the given number. Every number has a successor by adding 1 to every number.

For instance, the successor of 0 is 1, the successor of 1 is 2, and so on.

In this case, the successor of 8 is 9 because 8 + 1 = 9

Hope this makes sense. If you need further explanation, let me know.

- profparis

Answer:

i)8

ii)1783429

Step-by-step explanation:

for i, count upto ten thousand and for ii, add 1 to the number

Dallas made two pies for Thanksgiving in identical pie tins. 3/8 is left of one pie, and 2/3 is left of the other. Will all the leftover pie fit in one pie tin?

answer choices
a. yes, because 3/8 + 2/3 is less than 1
b. yes, because 3/8 is less than 2/3
c. no, because 3/8 + 2/3 is more than 1
d. no, because 2/3 is more than 3/8​

Answers

3/8 = 0.375

2/3 = 0.667


0.375 + 0.667 = 1.042


answer : c. no, because 3/8 + 2/3 is more than 1

HELP ME PLEASE!!

Solve the simultaneous equations.
x + 2y = 13
x + 5y = 28

x =
y= ​

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Given :-

Here, We have given two equations that is ,[tex]\sf{ x + 2y = 13\:\: and\:\: x + 5y = 28}[/tex]

To Find :-

We have to find the value of x and y.

Concept used :-

Linear equations are those equations which having highest power of degree as 1 .Linear equations can be solved by subsitute method, elimination method and cross multiplication method. Here, I have used substitution method to make calculation easier. In subsitute method, you have to subsitute the value of one variable of eq(1) in eq(2) .

Let's Begin :-

Here,

We have two equations, let consider these two equations as eq(1) and eq(2) that is,

[tex]\sf{ x + 2y = 13 ...eq(1)}[/tex]

[tex]\sf{ x + 5y = 28 ...eq(2)}[/tex]

By solving eq(1) :-

[tex]\sf{ x + 2y = 13 }[/tex]

[tex]\sf{ x = 13 - 2y ...eq(3)}[/tex]

Subsitute eq(3) in eq(2) :-

[tex]\sf{ (13 - 2y) + 5y = 28 }[/tex]

[tex]\sf{ 13 - 2y + 5y = 28 }[/tex]

[tex]\sf{ 13 + 3y = 28 }[/tex]

[tex]\sf{ 3y = 28 - 13 }[/tex]

[tex]\sf{ 3y = 28 - 13 }[/tex]

[tex]\sf{ 3y = 15 }[/tex]

[tex]\sf{ y = }{\sf{\dfrac{ 15}{3}}}[/tex]

[tex]\sf{ y = }{\sf{\cancel{\dfrac{ 15}{3}}}}[/tex]

[tex]\bold{ y = 5 }[/tex]

Thus, The value of y is 5

Now,

Subsitute the value of y in eq(1) :-

[tex]\sf{ x + 2(5) = 13 }[/tex]

[tex]\sf{ x + 10 = 13 }[/tex]

[tex]\sf{ x = 13 - 10 }[/tex]

[tex]\bold{ x = 3 }[/tex]

Hence, The value of x and y are 5 and 3 .

[tex]\bold{\huge{\underline{ Let's \: Verify }}}[/tex]

Equation 1 :-

[tex]\sf{ x + 2y = 13 }[/tex]

[tex]\sf{ 3 + 2(5) = 13 }[/tex]

[tex]\sf{ 3 + 10 = 13 }[/tex]

[tex]\sf{ 13 = 13 }[/tex]

[tex]\bold{ LHS = RHS }[/tex]

Equation 2 :-

[tex]\sf{ x + 5y = 28 }[/tex]

[tex]\sf{ 3 + 5(5) = 28 }[/tex]

[tex]\sf{ 3 + 25 = 28 }[/tex]

[tex]\sf{ 28 = 28 }[/tex]

[tex]\bold{ LHS = RHS }[/tex]

x+2y=13--(1)x+5y=28--(2)

Let's use elimination method

Subtract eq(2) from eq(1)

We get

[tex]\\ \rm\Rrightarrow 2y-5y=13-28[/tex]

[tex]\\ \rm\Rrightarrow -3y=-15[/tex]

[tex]\\ \rm\Rrightarrow y=\dfrac{-15}{-3}[/tex]

[tex]\\ \rm\Rrightarrow y=5[/tex]

Putting on eq(1)

[tex]\\ \rm\Rrightarrow x+2y=13[/tex]

[tex]\\ \rm\Rrightarrow x+2(5)=13[/tex]

[tex]\\ \rm\Rrightarrow x+10=13[/tex]

[tex]\\ \rm\Rrightarrow x=13-10[/tex]

[tex]\\ \rm\Rrightarrow x=3[/tex]

(x,y)=(3,5)

[tex]\LARGE{\underbrace{\underline{\rm{Verification:-}}}}[/tex]

[tex]\\ \rm\Rrightarrow x+2y=13[/tex]

[tex]\\ \rm\Rrightarrow 3+2(5)=13[/tex]

[tex]\\ \rm\Rrightarrow 3+10=13[/tex]

[tex]\\ \rm\Rrightarrow 13=13[/tex]

And

[tex]\\ \rm\Rrightarrow x+5y=28[/tex]

[tex]\\ \rm\Rrightarrow 3+5(5)=28[/tex]

[tex]\\ \rm\Rrightarrow 3+25=28[/tex]

[tex]\\ \rm\Rrightarrow 28=28[/tex]

Hence verified!

m/5 = 25

That is my question

Answers

Step-by-step explanation:

m / 5 = 25

m = 25 × 5

m = 125

.............

Answer:

125

Step-by-step explanation:

m/5 = 25

m = 25 x 5

m = 125

HELPPPP 80 POINTS
Solve the right triangle.
Round your answers to the nearest tenth

Answers

answer:

A=46°

a=17.983 (tenths- 18, hundredths- 17.98)

b=17.366 (tenths- 17.4, hundredths- 17.37)


explanation:

1. find angle A

it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.

90°+44°=134°

180°-134°=46°

A=46°

2. find side a

using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.

cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)

25cosine44°=a
a=17.983

3. find side b

finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.

sine44°=[tex]\frac{b}{25}[/tex]

(multiply both sides by 25)

25sine44°=b

b=17.366

--

if this helped, please consider giving brainliest !

Please Help Me I Don’t Understand

Answers

32°+81°=113°

For a complete triangle to form it needs to be 180°. So all you do is subtract 180° by the sum of 32° and 81°.

180°-113°=67°

The answer is 67°

Which equation is the correct translation of the following statement?
Four less than a number is nine.
O 9 - X= 4
O9-4 = x
O x-4 = 9
O4 - X= 9

Answers

hello!

Let the number be x.

subtract 4:-

x-4 (4 less)

this expression equals 9:-

x-4=9 (Option C)

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

The centre of the circle is (3,a) and a point on the circumference is (6,-1). if the radius of the circle is 3 units , find the value of a​

Answers

Answer: -1

Step-by-step explanation:

If the number of bacteria in a colony doubles every 336 hours and there is currently a
population of 9,000 bacteria, what will the population be 672 hours from now?
bacteria

Answers

The population of bacteria after 672 hours is 36000.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given question we have

The number of bacteria double is 336 hours.

And, the current population of bacteria is 9,000.

Therefore,

The population of bacteria after 336 hours = 9,000×2 = 18,000

⇒ the population of bacteria after 672 hours  = 18000 × 2 = 36000  

Hence, the population of bacteria after 672 hours is 36000.

Learn more about Unitary method here:

https://brainly.com/question/22056199

#SPJ2

The minute hand on a clock tower is 6 feet long. At 10 minutes after the hour, the tip
of the minute hand is 55 feet above the ground. How high above the ground is the
center of the clock face? Explain how you know.

Answers

Answer: 12:55 is the answer

Step-by-step explanation:

dont delete this brainly

The height of the center of the clock above the ground is 52 feet such that the length of the minute hand of the clock is 6 feet and at 10 minutes after the hour, the tip of the minute hand is 55 feet above the ground.

Sine trigonometric function

The trigonometric function, [tex]sin\theta=\dfrac{perpendicular}{hypotenuse}[/tex] .

How to determine the length of the side using trigonometric function?

From the given information, the following pictorial representation can be made.

The distance between the centre of the clock and the the point of the minute hand 10 minutes after the hour is-

[tex]x=6sin30\\x=3\text{ft}[/tex]

Now, from the figure,

The height of the center of the clock above the ground is-

d=6+(55-3-6)

=52 ft

Thus, the height of the center of the clock above the ground is [tex]52\text{ft}[/tex]

Learn more about trigonometric functions here-

https://brainly.com/question/14746686

#SPJ2

Philippe went to the farmer's market and spent $2.35 on apples, $1.85 on bananas, and $3.10 on blueberries. How much did Phillipe spend in total? (3 points) a $7.30 b $7.55 c $8.30 d $8.55

Answers

Answer:

a. $7.30

Step-by-step explanation:

2.35 + 1.85 + 3.10 = 7.30

Question
Find the circumference of the circle. Round your answer to the nearest hundredth.



The circumference is about
inches.

Answers

Answer:

Circumference of a cicle in terms of radius:

Circumference = 2·π·r = 2·3.14·3 = 18.85(*)

In terms of diameter:

Circumference = π·d = 3.14·6 = 18.84(*)

In terms of area:

Circumference C = √4·π·A = √4·π·28.27 =18.85

Step-by-step explanation:

given:

radius= 3in.

to find:

the circumference of the circle.

solution:

formula C=2πr

=2·π·3

18.84956in

nearest hundredth= 18.85in

Question five What is the perimeter? Use 3.14 for pi. Please Show Work! I Will Mark As Brainlest!!

Answers

Answer:

73.81

Step-by-step explanation:

You know that the formula for circumeference is 2(pi)r.

2x3.14x11=69.08;

However, a part of the circle is cut off, leaving 3/4 of it.

3/4x69.08=51.81.

However, you add the 11+11 to it because of the slice.

22+51.81=73.81

Identify the number of vertices, edges, and faces of the polyhedron. Use your results to verify Euler's formula.

Answers

Answer:

The Last option

Step-by-step explanation:

We see this figure has eight faces, so we already know the answer choice is D, because answer choice D is the only option with 8 faces.

Now let's prove this using Euler's Formula

F = Faces

V = Vertices

E = Edges

We see 12 vertices, 8 faces, and 18 edges. Now plug in the formula.

F + V = E + 2

8 + 12 = 18 + 2

20 = 20

The swiss mathematician leonhard euler and the french mathematician rene descartes both discovered a pattern in the numbers of​ edges, vertices, and faces of polyhedrons. solve problems 810.

Answers

Answer:

I am stuck on this two

Step-by-step explanation:

rectangle, 6 8 14 12

What is the area of the unshaded part of the rectangle to the right?
A. 19,000 ft²
B. 45,000 ft²
C. 28,000 ft²
D. 26,000 ft²

Answers

Answer:

D 26000

Step-by-step explanation:

100 x 100 = 10000

120 x 150 = 18000/2 = 9000

150 x 300 = 45000

10000 + 9000 = 19000

45000 - 19000 = 26000

can someone help me with these three questions pls

Answers

Answer:

Step-by-step explanation:

#1. right 5 units

#2. down 2 units

#3. The translation rule is (5, -2)

Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 18 questions he thought he got wrong.
It turns out that Colin got 3 questions right that he thought he got wrong.
Colin also got a total score of 27 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores?

Answers

Answer:

65.2%

Step-by-step explanation:

Explanation is in photo.

~Hope this helps~

Which system of linear equations represents the situation?
The Martin family pays $12 per hour to a babysitter. They also give her
a $7 tip. The Bagley family pays $15 per hour to a babysitter. The
Bagley family's babysitter pays $8 to order a pizza.
Let h represent the number of hours of babysitting and m represent
the total amount of money each babysitter earns.

Answers

Answer:

so many just add them 12+7+15+8=

Answer:

m=12h+7

m=15h-8

In a bag there are 2 red marbles, 3 white marbles and 5 blue marbles. Once a marble is selected, it is NOT replaced. Find the P(Blue then Red). Write your answer as a percent rounded to the nearest whole number.​

Answers

Answer:

For each draw, it is the number of that color, divided by the total number of marbles. For more than one draw, just multiply the fractions.Take a look at what I did. It should become clear.

Step-by-step explanation:

The heights of a species of plant are approximately Normally distributed, have a mean of 9.31 cm, and have a standard deviation of 0.55 cm. If 20 of the plants are randomly selected, what is the probability that the mean plant height is less than 9.5 cm?

0.0612
0.6351
0.9388
approximately 1

Answers

Using the normal distribution and the central limit theorem, it is found that the probability that the mean plant height is less than 9.5 cm is of 0.9388.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 9.31, \sigma = 0.55[/tex].

For samples of n = 20, the standard error is given by:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]s = \frac{0.55}{\sqrt{20}}[/tex]

s = 0.123.

The probability that the mean plant height is less than 9.5 cm is the p-value of Z when X = 9.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{9.5 - 9.31}{0.123}[/tex]

Z = 1.54.

Z = 1.54 has a p-value of 0.9388.

Hence the probability that the mean plant height is less than 9.5 cm is of 0.9388.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Manuel starts with $30. He earns $8.00 per hour plus an additional
bonus of $12 each day. He spends $8.00 for lunch. If he has $94 at
the end of the day, how many hours did he work?

Answers

Answer:

He worked about 5.5 hours

Step-by-step explanation:

Im pretty sure

Answer:

7.5  hours

Step-by-step explanation:

h=hours

30+8h +12-8 =94

8h+34=94

8h =60

h= 7.5


HELPPPP WHATS THE AREA

Answers

Answer:

the answer is 42

Step-by-step explanation:

you multiply the sides to get the area

Match each word to its definition.

Answers

Answer:

1. biased sample: sample not representative of the entire population

2.convenience sample: sample where representatives are easily accessible

3.unbiased sample: sample where every member of the population has an equal chance

4. self-selected sample: sample where members volunteer to take part

5. stratified sample: members are selected from the different subgroups within a population

6. systematic sample: sample members are selected through the use of a rule.

Hope this helps!!

1. biased sample: sample not representative of the entire population

2.convenience sample: sample where representatives are easily accessible

3.unbiased sample: sample where every member of the population has an equal chance

4. self-selected sample: sample where members volunteer to take part

5. stratified sample: members are selected from the different subgroups within a population

6. systematic sample: sample members are selected through the use of a rule.

Hope this helps!!

What is the greatest common denominator of 24 and 25

Answers

Answer:

1

Step-by-step explanation:

The only number 24 and 25 can both have is 1

You can calculate the width of the lake using a surveying technique, as shown in the diagram. Find the width of the lake.

Answers

Step-by-step explanation:

Angles XVW and XYZ are congruent, and so are angles VWX and XZY by the alternate interior angles theorem.

This means that triangle VWX is similar to triangle YZX.

So, since corresponding sides of similar triangles are proportional, VW/XY = WX / XZ.

120/8 = 15 = WX / 6.

So the width is 90 m.

What is the volume of this cone?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth​

Answers

Answer:

100 cubic centimetres

Step-by-step explanation:

Volume of Cone = 1/3 pie r^2 h

= 1/3 × 3.14 × 4 × 4 × 7

= 117.226

= 100 cubic centimetres ( nearest hundredth)

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