In the given right triangle, find the miss length.
A. 25 m
B. 27 m
C. 26 m
D. 28 m
Answer:
26
Step-by-step explanation:
Answer:
C. 26 m
Step-by-step explanation:
home / math / pythagorean theorem calculator
Pythagorean Theorem Calculator
Please provide any 2 values below to solve the Pythagorean equation: a2 + b2 = c2.
Result
abc
Given a=24 and b=10,
c = 26
∠α = 67.38° = 67°22'48" = 1.17601 rad
∠β = 22.62° = 22°37'12" = 0.39479 rad
area = 120
perimeter = 60
h =
120
13
= 9.2307692307692
+ Show Calculation Steps
a =
24
√
b =
10
√
c =
√
Calculate
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Triangle Calculator | Right Triangle Calculator
Pythagorean Theorem
The Pythagorean Theorem, also known as Pythagoras' theorem, is a fundamental relation between the three sides of a right triangle. Given a right triangle, which is a triangle in which one of the angles is 90°, the Pythagorean theorem states that the area of the square formed by the longest side of the right triangle (the hypotenuse) is equal to the sum of the area of the squares formed by the other two sides of the right triangle:
In other words, given that the longest side c = the hypotenuse, and a and b = the other sides of the triangle:
a2 + b2 = c2
This is known as the Pythagorean equation, named after the ancient Greek thinker Pythagoras. This relationship is useful because if two sides of a right triangle are known, the Pythagorean theorem can be used to determine the length of the third side. Referencing the above diagram, if
a = 3 and b = 4
the length of c can be determined as:
c = √a2 + b2 = √32+42 = √25 = 5
It follows that the length of a and b can also be determined if the lengths of the other two sides are known using the following relationships:
a = √c2 - b2
b = √c2 - a2
The law of cosines is a generalization of the Pythagorean theorem that can be used to determine the length of any side of a triangle if the lengths and angles of the other two sides of the triangle are known. If the angle between the other sides is a right angle, the law of cosines reduces to the Pythagorean equation.
There are a multitude of proofs for the Pythagorean theorem, possibly even the greatest number of any mathematical theorem.
Algebraic proof:
In the figure above, there are two orientations of copies of right triangles used to form a smaller and larger square, labeled i and ii, that depict two algebraic proofs of the Pythagorean theorem.
In the first one, i, the four copies of the same triangle are arranged around a square with sides c. This results in the formation of a larger square with sides of length b + a, and area of (b + a)2. The sum of the area of these four triangles and the smaller square must equal the area of the larger square such that:
(b + a)2 = c2 + 4
ab
2
= c2 + 2ab
which yields:
c2 = (b + a)2 - 2ab
= b2 + 2ab + a2 - 2ab
= a2 + b2
which is the Pythagorean equation.
In the second orientation shown in the figure, ii, the four copies of the same triangle are arranged such that they form an enclosed square with sides of length b - a, and area (b - a)2. The four triangles with area ab 2 also form a larger square with sides of length c. The area of the larger square must then equal the sum of the areas of the four triangles and the smaller square such that:
(b - a)2 + 4
ab
2
=
(b - a)2 + 2ab
= b2 - 2ab + a2 + 2ab
= a2 + b2
Since the larger square has sides c and area c2, the above can be rewritten as:
c2 = a2 + b2
which is again, the Pythagorean equation.
There are numerous other proofs ranging from algebraic and geometric proofs to proofs using differentials, but the above are two of the simplest versions.
When you are born, your parents deposited $500 into a simple interest account that
earns 2.5% annually. How much money would be in the account, for you, when you
turn 30 years old?
9514 1404 393
Answer:
$875
Step-by-step explanation:
The account pays simple interest, so the formula for the balance is ...
A = P(1 +rt)
A = $500(1 +0.025×30) = $500(1.75) = $875
There will be $875 in the account at age 30.
Which point is on the graph of the function y = 3x + 2?
A. (1,5)
B. (2,3)
C. (3,2)
D. (5,1)
Answer:
a 1,5
Step-by-step explanation:
if the yintercept is 2, and the y increases 3 per every x value, then when the x would be one the y would be 5
a store owner sells a mix that is 45% cashew nuts how many pounds of cashews should be add to 36 lb to make it 60% cashews
Answer:
13.5 lbs
Step-by-step explanation:
The number of pounds to be added with 36 lb to make cashews nut 60% is 12 pounds.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
45% cashew nuts = 36 lb
Multiply 60/45 on both sides.
60% = 60/45 x 36 lb
60% = 48 lb
The number of pounds to be added.
= 48 - 36
= 12 lb
Thus,
12 pounds of cashew should be added to 36 lb to make it 60% cashews.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
can someone help me find the area
Answer:
64a^2c^4
Step-by-step explanation:
the 8th term of 3, 3/2, 3/4
Answer:
3/12
Step-by-step explanation:
This better? If u seen my last one
In a sale, the original price of a bag was reduced to
80% its original value. The sale price of the bag is £56.
Work out the original price.
Answer =:70
Step-by-step explanation:
Please help me with this homework please from 1 to 4 and the check
Answer:
1. x=1
2. y=5
3. m=-6
4. z=3
Step-by-step explanation:
Answer:
I don't know because i am doing math along the way to solve answer.
Step-by-step explanation:
4x+8=2x+10
4x-2x+8=10
2x=10-8
2x=2
x=1 ANSWER FOR 1
2.)
Same thing as 1.
9y-3=6y+12
3y=15
Divide both by 3 and you get
y=5 Answer For 2
________________________
3.)
8m+4=4m-20
4m=-24
m=-6 Answer For 3
_________________________
4.)
11z-14=5z+4
6z=18
z=3 Answer for 4
Question 5
1 pts
5) If a person runs 1/3 mile in 1/9 of an hour, what is
the unit rate per hour?
A. 1/9 mi/hr
B. 1/3 mi/hr
C. 3 mi/hr
D. 9 mi/hr
What PERCENT is equivalent to 3 4/5?
3.6
36%
360%
Answer:
380%
Step-by-step explanation:
Turn into an improper fraction:
3x5=15 15+4= 19/5
You can do two ways
multiply by 20
19 x20 380
------ = ----------
5 x20 100
Other way: put into calculator
3,8
Turn into percent by multiplying by 100
=380
Please help due ASAP
Show workings
Answer:
CD=66
Step-by-step explanation:
12x-30=6x+18
6x=48
x=8
12(8)-30=66
CD=66
please help me please will give brainliest to anyone who is good
Answer:
D
As temperature increases, so does mpg meaning better milage in warmer temperatures
Casey's grandmother sent her an $85 gift card for her birthday last year. This year, she sent her a $125 gift card. Which proportion can be used to find what percent of last year's gift this year's gift is, if n represents the unknown percent?
plz answer my question
Answer:
65
Step-by-step explanation:
15*3+15=60
30*2+15=75
20*4+15=85
10*5+15=65
if y=7.2 and r= 1.1 have been rounded to 1 decimal place find the possible value of y x r
Answer:
[tex]the \: possible \: value \: of \: ( y \times r) = 7 \times 1 = \boxed{ 7} \\ or \\ ( 7.2 \times 1.1) = \boxed{ 7.9} \\ [/tex]
Gwen's blog post about camping has 70 comments. 30% of the comments were questions for Gwen about camping gear. How many of the comments were questions about camping gear? Pick the model that represents the problem.
To figure out how many of the 70 comments were those about questions for Gwen about camping gear, you need to first find the decimal of 30%, which is 0.3. Then the equation should be:
70 x 0.3
Answer: 21
Answer:21 comments about camping gear
Step-by-step explanation: Because percentages are just fractions out of 100, we know that 30% is 30/100. If you multiply 30/100 by 70, you get 21.
The regular price of a video game is $19.50 The store is having a 40% off sale.
A:How much is the discount?
B: How much will you pay for the video game after the discount?
Evaluate the expression 2.1x - 4.3 for x = 2.2.
Answer:
.32
Step-by-step explanation
3 1
(3.0 x 10 ) (5.0 x 10 ) = ?
Answer:
1500
Step-by-step explanation:
Parenthesis first, 3x10 is 30 5x10 is 50, 50x30 is 1500
[tex]2(78[/tex]
what is the answer
Answer:
The answer to the question provided is 156.
3(b+1) +1 = 4b
please hurry i need it now
Answer:
4=b
Step-by-step explanation:
3b+3+1=4b
3b+4=4b
-3b -3b
4=b
nth term of -7 -12 -17 -22 -27
Answer:
[tex]a_n=-2-5n[/tex]
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences are those where any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)r[/tex]
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the sequence
-7 -12 -17 -22 -27 ...
The first term of this sequence is a1=-7. We can calculate the common difference by subtracting two consecutive terms:
r = -12 - (-7) = -12 + 7 = -5
The nth term is:
[tex]a_n=-7+(n-1)(-5)[/tex]
Multiplying:
[tex]a_n=-7-5n+5[/tex]
Simplifying:
[tex]\boxed{a_n=-2-5n}[/tex]
In quadrilateral PQRS, the exterior angle at Q measures 155 and PS = QR. What measure of ∠PSR would confirm that PQRS is a parallelogram? I will mark brainliest :)
Answer: 25
Step-by-step explanation:
the exterior angle at q is 155, and the exterior and interior angle add up to 180. so, the interior angle at q is 180-155, which equals 25. angle PSR is across from interior angle q, and in parallelograms, angles across from one another must equal each other. this means that for PQRS to be a parallelogram, angle PSR must be 25 degrees.
What is the equation of this trend line? Please help ASAP!
Answer:8+2x
Step-by-step explanation:
Which point on the number line best represents 10?
Help me plz
Answer: F
Step-by-step explanation:
Answer:
H
Step-by-step explanation:
3.3 x 3 = 9.9 which is close to 10 so its H
*Spam answers will not be tolerated*
Use the attachment to solve.
Cave (Use the integer alphabet chart to solve.)
Ex: A is -13
Step-by-step explanation:
C = -11
A = -13
V = 9
E = -9
If you are adding them: -24
Hope this helps!
Use the Rational Zeros Theorem to write a list of all potential rational zeros.
Answer:
1/5,2/5,4/5,1,2,4 B
Step-by-step explanation:
To my recollection the rational zeroes theorem is when you take all the factor of the Y intercept and list those and then take the factors from before and divide it by A
The first step would be to break down 4 into
1,2,4
Those are our first couple of answers, now it's time to divide it by 5
so we have 1/5, 2/5,4/5
Put it all together and get 1/5,2/5,4/5,1,2,4
13. Which number line represents the solution to the inequality -2x + 5 > 15?
!!!!!!WILL MARK BRAINLIEST!!!!!!
Answer:
B
Step-by-step explanation:
There were x cookies at the beginning of a party. By the end of the party, 16 of them had been eaten. Using x, write an expression for the number of cookies that were left
Answer:
5
Step-by-step explanation:
xf