Answers
Answer:
In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides a, b and c, often called the Pythagorean equation:[1]
{\displaystyle a^{2}+b^{2}=c^{2},}a^{2}+b^{2}=c^{2},
where c represents the length of the hypotenuse and a and b the lengths of the triangle's other two sides. The theorem, whose history is the subject of much debate, is named for the Greek thinker Pythagoras, born around 570 BC.
The theorem has been proven numerous times by many different methods—possibly the most for any mathematical theorem. The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years.
The theorem can be generalized in various ways: to higher-dimensional spaces, to spaces that are not Euclidean, to objects that are not right triangles, and to objects that are not triangles at all but n-dimensional solids. The Pythagorean theorem has attracted interest outside mathematics as a symbol of mathematical abstruseness, mystique, or intellectual power; popular references in literature, plays, musicals, songs, stamps, and cartoons abound.-Wikipedia
Related Questions
x=3
You earn $15 every 3 weeks. At this rate, how much will you earn in 6 weeks?
$15
ОО
$5
$30
$10
Clear selection
Answers
Answer:
You would earn $30
Step-by-step explanation:
3 * 2 = 6, so you would multiply 15 by 2 giving you 30.
Why: because 15*2=30 and 3*2=6 weeks
can someone please help me figure this out
Answers
Answer:
32/40
Step-by-step explanation:
1: Sin= Soh
Soh= Opposite over Hypotenuse
2. A's opposite is 32
3. A's Hypotenuse is 40
4. A = 32/40
f(x) = 3x2 +6x - 18 Find f(10)
Answers
Answer:
eh im good
Step-by-step explanation:
Answer:
Step-by-step explanation:
we will replace x with 10
f(10)=3(10)^2+6(10)-18
f(10)=300+60-18=342
Explain what it means to be a solution when there are two lines on a graph
Answers
Answer:
Step-by-step explanation:
When the lines intersect, the point of intersection is the only point that the two graphs have in common. So the coordinates of that point are the solution for the two variables used in the equations.
write in standard form: eight and twenty nine hundredths
Answers
Answer:
8 hundred 29 thousand
Step-by-step explanation:
No explanation for this question.
8.29dbyevsvegehehshhs
. Brian can pick forty-five pounds of strawberries in six hours. If he works two ten-hour days, how many pounds of strawberries will he be able to pick?
Answers
Answer:
over 120 i think
Step-by-step explanation:
1. this is the first way to do it: because if he can pick 40 pounds in 6 hours and he worked for about 20 hours that if you divide 20 by 6 you will get three because 6x3=18 hours and 40x3= 120
2. the second way is when you subtrat 6-10 and get 4 leftover and if you do that twice you get 8 leftover in all and if you do 8-6 it is 2 leftover so in all you have you have three six hours out of 20 and so you would have to multiply 40 times 3 because every six is 40 pounds of strawberries.
seven less than 50 times a number *
Answers
Answer:
50x - 7
Step-by-step explanation:
a number: x
50 times a number: 50x
7 less than 50 times a number: 50x - 7
A scale drawn on the map shows that 1 inch represents 10 miles. If two cities are 3.5 inches apart on the map, what is the distance between them in real life? A. 35 miles B. 45 miles C. 55 miles D. 25 miles
Answers
Answer:
a 35
Step-by-step explanation:
1/10 = 3.5/x
cross multiply and solve
or just do 10 x 3.5 right away
Emiliana runs a restaurant that receives a shipment of 505050 tangerines every day. According to the supplier, approximately 12\, percent of the population of these tangerines is overripe. Suppose that Emiliana calculates the daily proportion of overripe tangerines in her sample of 505050. We can assume the supplier's claim is true, and that the tangerines each day represent a random sample. What will be the shape of the sampling distribution of the daily proportions of overripe tangerines
Answers
Answer:
skewed to the right
Step-by-step explanation:
Find the measure of one interior angle in each regular polygon. Plz
Answers
Answer:
108°
Step-by-step explanation:
If regular polygon has n sides, then each interior angle = 180° - (360/n)°.
When n = 5, interior angle = 180° - (360/5)° = 108°
PLZ HELP ME WITH MY HW????
Answers
Answer:
alam ko sagot pero mataas
I think you just add the miles together
Hope it helps
Anybody know this? I need some help
Answers
Answer:
17
Step-by-step explanation:
First, you can change the equation to 12 1/2 + 4 1/2, as subtracting a negative number is actually adding it. Then, if easier, the mixed numbers can be changed to improper fractions -- 12 1/2 = 25/2 and 4 1/2 = 9/2. Then add; 25/2 + 9/2 = 34/2, and 34 divided by 2 is 17.
Follow the steps and write the equation represented by this graph.
Step 1: Write the general equation.
Step 2: Identify b, the Y intercept (x = 0) b=
Step 3: The second point from graph (x, y) P=
,
Step 4: Define m as ratio of rise / run m = rise /
Step 5: Put coordinates into ratio and get (7 -
) / (
- 0)
Step 6: Perform subtraction; get slope
/ 1
Step 7: Substitute values into y = mx + b
Step 8: Write answer y =
x +
Answers
Answer:
y = 4x + 3
Step-by-step explanation:
Step 1: Write the general equation
y = mx + b
Step 2: Identify b, the Y intercept (x = 0)
b is the value of y when x = 0.
From the graph, when x = 0, y = 3.
Therefore, b = 3
Step 3: The second point from graph (x, y):
P = (1, 7)
Step 4: Define m as ratio of rise / run:
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Step 5: Put coordinates into ratio:
Using the two coordinates, (0, 3) and (1, 7), we would have,
[tex] m = \frac{7 - 3}{1 - 0} [/tex]
Step 6: Perform subtraction to get slope:
[tex] m = \frac{4}{1} [/tex]
m = 4
Step 7: Substitute values into y = mx + b:
Thus, plug in the values of m and b into the slope-intercept equation.
b = 3, m = 4, therefore:
y = (4)x + (3)
Step 8: Write answer:
y = 4x + 3
ENCHI
A TV is measured by its diagonal. If the height of a 60 inch
TV is 32 inches, what is the width?
Answers
Given :
A T.V. is measure by its diagonal.
To Find :
If the height of a 60 inch T.V. is 32 inches, what is the width.
Solution :
We know, T.V. is rectangular in shape and angle between two sides of rectangular is 90° .
Let, width of T.V. is x.
Applying Pythagoras theorem in sides, we get :
[tex]height^2 + width^2 = hypotenuse^2\\\\23^2 + x^2 = 60^2\\\\x = \sqrt{3600 -529 }\\\\x = 55.42 \ inches[/tex]
Therefore, width of T.V. is 55.42 inches.
Any one talented student????
if long answer plzz
Can anyone solve them all ???
;( ;( ;(
Answers
Answer:
Step-by-step explanation:
A=3*10^5*2.5*10^3/2.25*10^2=
300000*2500=750000000
750000000/225=3333333.3333
B=4.8*10^-5*3.2*10^9/1.6*10^16*2.4*10^-3=
0.000048*3200000000=153600 or 1.536*10^5 Answer
16000000000000000*0.0024=3.84*10^13
153600/3.84*10^13=0.000000000.4 0r 4*10^-9 Answer
C=6.7*10^-11*2.25*10^20*3.6*10^20/(3.35*10^4)^2
0.000000000067*250000000000000000000*3600000000000000/(33500)^2=4.967764727*10^20 Answer
D=9.1*10^7+6.5*10^7/1.3*10^3
91000000+65000000/1300=120000 or 1.2*10^5 Answer
E=2.5*10^3+3.9*10^4/1.6*10^2
5000+39000/160=259.375 Answer
F=7.2*10^-4.8*10^5/2.4*10^3
7200000-480000/2400=2800 or 2.8*10^3 Answer
Hope this helpssss xx
PLEASE HELP NEED DONE FAST!!!
Michelle has a math assignment with 60 problems. She solved 1/5 of the problem that School. Then Michelle solved 1/4 of the remaining problems at home. How many problems she have left to solve.
Answers
Answer:1/2
Step-by-step explanation:
Mia is 2 1/2 years older than Chloe. Allen is 6 1.2 years younger than Chloe. Mia is 12 years old. What is Allen’s age?
Answers
Answer:
Allen is 3 years oldStep-by-step explanation:
Mia is 2 1/2 years older than Chloe.
Mia is 12 years old.
Chloe's age is:
12 - 2 1/2 = 10 - 1/2 =9 1/2Allen is 6 1/2 years younger than Chloe.
Allen’s age is:
9 1/2 - 6 1/2 = 9 - 6 = 3A car is said to get 25 miles per gallon on a highway, but this value can fluctuate by 6 miles per gallon, at most. Which of the following absolute value inequalities matches this scenario?
Question 1 options:
A)
|x + 25| > 6
B)
|x – 25| ≤ 6
C)
|x + 25| ≤ 6
D)
|x – 6| > 25
Answers
Answer:
|x – 25| ≤ 6
Step-by-step explanation:
Given:
Car run per gallon = 25 miles per gallon
Fluctuate value = 6 miles per gallon
Find:
Equation
Computation:
x ≤ 25 ± 6
|x – 25| ≤ 6
Answer: x-25[<6
by-step explanation:
find the equation
85,179 to the nearest 1,000
Answers
1.8 (x – 6) = 36
I need this fast. I think it’s 26... (x=26) but it says I’m wrong.. Help please!!!!
Answers
Answer:
26
Step-by-step explanation
You're right about it being 26
Answer:
Umm I think it has to be like this first 1.8 x x is 1.8x and 1.8 x 6 is 10.8 and 36 so now I gonna do 1.8x is 36-10.8 is 25.2 and 1.8x / 25.2 is 14 so x is 14
The measures of two sides of a triangle are 4in and 13in. Find all possible values that the third side of this triangle can be?
Answers
Answer:
9 < x < 17 is the possible length of the third side of a triangle.
Step-by-step explanation:
The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.
Given the two sides of the triangle
4 in13 inLet 'x' be the length of 3rd size.
According to the Triangle Inequality theorem,
The difference of two sides < x < The sum of two sides
13 - 4 < x < 13+4
9 < x < 17
Therefore, 9 < x < 17 is the possible length of the third side of a triangle.
Jeremy is building a ramp to the entrance of a school. If the ramp needs to vertically rise 6 ft
Answers
Answer:
The height is 6 feet, and the length of the ramp is the hypotenuse of a right triangle with angle 28 degrees with the ground
Step-by-step explanation:sin
28=6/x
x*sin 28=6
x=6/sin 28=12.78 ft.
Please answer this correctly without making mistakes
Answers
Answer:
144 feet and 8 inches
Emma changed £500 into rand before going on holiday, at an exchange rate of £1= 20.8 rand.
A) how many rand did she get for her £500.
Emma spent 8000 rand on holiday. When she got home, she changed her leftover rand into pounds at the new exchange rate of £1= 19.6 rand.
B) How much money did she get back in pounds?
Answers
- Harvard university professor
Write an equation of the line with a slope of -4 and a y-intercept of 2
Answers
2x/3 divided by 3x/2 if x does not equal 0
Answers
The value of the expression 2x/3 ÷ 3x/2 when x ≠ 0 is 4/9.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2x/3 ÷ 3x/2 when x ≠ 0.
This can be written as,
= (2x/3) x (2/3x)
= 2/3 x 2/3
= 4/9
Thus,
The value of the expression is 4/9.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Bob sold 34 trading cards, each for 50 cents more than the price he bought them. If each card was originally $0.25, how much did he earn?
Answers
Answer:
E/A card was sold for $.75, which means the 34 cards were sold for a total of $25.50
find the value of x. inscribed angles
Answers
9514 1404 393
Answer:
x = 33°
Step-by-step explanation:
The value of an inscribed angle is half the value of the arc it subtends.
The angle marked x subtends the arc marked 66°, so has a value of ...
x = 66°/2
x = 33°
_____
The value of y is similarly found.
y = 96°/2
y = 48°
__
The angle marked with a dot is an external angle of the triangle, so is the sum of the remote internal angles, x and y:
dot angle = x + y = 33° +48° = 81°
Of course, angle z is the supplement of this:
z = 180° -81°
z = 99°
Answer:
x=33
Step-by-step explanation:
The answer would be x=33
teresa says the two expressions below are equivalent: 2(5x-3) + 6x and 16x -3 is teresa correct? Explain why or why not
Answers
Answer:
No.
Step-by-step explanation:
2(5x-3) + 6x is equal to 16x-6:
Distribute:
=(2)(5x)+(2)(−3)+6x
=10x+−6+6x
Combine Like Terms:
=10x+−6+6x
=(10x+6x)+(−6)
=16x+−6,
Which is not equal to 16x-3
nina ran 2.5 miles in 20 minutes at the same pace how long would it take her to run 6 miles
Answers
Answer:
48 minutes
Step-by-step explanation:
first divide 6 miles by 2.5 miles, that will be 2.4 miles, then multiply by 20
Answer:
for 6 miles,it would take 48 minutes
Step-by-step explanation:
2.5 : 20
so
5 : 40
8 min for 1 mile
so
6 : 48
