The Pythagorean Theorem, given by the formula a^2+b^2=c^2, relates the three sides of a right triangle. Solve the formula for the positive value of a in terms of b and c.
Answers
Answer:
c=√a²b²
Step-by-step explanation:
The positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
It is given that the formula of the Pythagorean theorem for a right-angle triangle is, a² + b² = c².
The value of c is calculated as:-
a² + b² = c²
Reverse the equation to calculate a.
c² = a² + b²
Taking b² to the left side then the equation will become:-
a² = c² - b²
Taking square root on both sides of the equation.
[tex]\sqrt{a^2}=\sqrt{c^2-b^2[/tex]
[tex]a = \sqrt{c^2-b^2}[/tex]
Therefore, the positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].
To know more about the Pythagorean theorem follow
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Related Questions
10 POINTS!!!!!! answer quick
Answers
Answer:
Thx for the free points! Have a great day
Step-by-step explanation:
Mary Jane made 140 cupcakes for the sixth grade classes at Oak School. She frosted 3/5 of the cupcakes with caramel icing and put
sprinkles on 1/2 of those cupcakes. How many caramel cupcakes had sprinkles?
A)
38 cupcakes
B)
42 cupcakes
C)
44 cupcakes
D)
46 cupcakes
Answers
Answer:
B). 42 cupcakes
Step-by-step explanation:
3/6= 0.6
1/2= 0.5
140*0.6=84
84*0.5=42
A candle has been burning for 20 min and is now 25 cm tall. In an hour it will be 10 cm tall. Which equation models the height y of the candle in centimeters, x minutes after it was lit?
Answers
Answer:
(y - 25) = - 0.25(x - 20)
Step-by-step explanation:
Given that :
Height of candle after burning for 20 minutes = 25 cm
Height after burning for 1 hr (60 minutes) = 10 cm
Height (y) in cm of candle x minutes after being lit:
Using the equation :
(y - y1) = m(x - x1)
m = (change in y / change in x)
Change in height within 60 minutes :
Height at 20 minutes = 25cm
Height after an hour = 10
Change in height per hour = (25 - 10) = 15cm
Hence, m = change in height per minute
15cm / 60 = 0.25cm ( - 0.25) (decrease in height)
y1 = 25 ; x1 = 20
(y - y1) = m(x - x1)
(y - 25) = - 0.25(x - 20)
I need help ASAP can someone please please help me with my questions! I will give brainiest!
Answers
Answer: 3mn^2.
Step-by-step explanation: GCF stands for Greatest Common Factor, as you know. The greatest common factor of 75 and 27 is 3. For the rest, we just use the smallest values. Thus, the answer is 3mn^2.
18 more than twice a number is 8
Answers
Answer:
-5
Step-by-step explanation:
-5 times 2 is -10 plus 18 is 8
I need help on this help me pls
Answers
Answer:
C. 8x6^2
Step-by-step explanation:
Calculate the value.
Write an algebraic expression for the word phrase.
10 times the product of g and h
Answers
Answer:
10(g*h)
Step-by-step explanation:
the * is supposed to mean times/multiply
since it is an expression you do not put y= or f(x)= or anything like that
Answer:
10(g*h)
Step-by-step explanation:
"Product" means multiply so you would want to multiply g and h together. You put it in parenthesis because you want to multiply the solution you get from multiplying g and h by 10. To show this, you can simply just put the 10 in front of the parenthesis as that implies multiplication.
here is a better picture
Answers
12.5 percent—1/8—0.125
140 percent—1 and 40/100—1.4
275 percent—2 and 3/4–2.75
8 percent—8/100–0.08
Manuela solved the equation below.
2 (x + 2) = x minus 4
What is the solution to Manuela’s equation?
–8
0
no solution
infinitely many solutions
Answers
Answer: the answer is really -8 (A)
Step-by-step explanation: because how do 0 make since u can't divide 3x and -8
Answer:
A
Step-by-step explanation:
What is the equation of the line that passes through the point (-6,1) and has a slope of 1/6
Answers
Answer:
y = 1/6x + 2
Also:
Mark brainliest if this helped plz :)
x^2-8x=-15 solve by completing the square
Answers
Answer:
Step-by-step explanation:
What is the midpoint of the line segment with endpoints (-2,-4) and (4,6)?
A. (-6,10)
B. (-3,5)
C. (1,1)
D. (2.2)
E. (3,5)
Answers
Answer:
Answer: C. (1,1)
Step-by-step explanation:
Midpoint
Given a segment defined by points (x1,y1) and (x2,y2), the midpoint (xm,ym) is calculated as follows:
[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]
The endpoints are (-2,-4) and (4,6).
Calculating the midpoint:
[tex]\displaystyle x_m=\frac{-2+4}{2}=\frac{2}{2}=1[/tex]
[tex]\displaystyle y_m=\frac{-4+6}{2}=\frac{2}{2}=1[/tex]
The midpoint is (1,1).
Answer: C. (1,1)
5n + 20 -10 + 15n=50
Solve for the variable
Answers
Step-by-step explanation:
2n is the answer because you combined the two variables then you do 20n plus 20n minus. 10 equals 50 then subtract 10 from 50 and get forty the divide that by 20 which equals 2
HELP ASAP PLEASE WILL MARK BRAINIEST
Answers
Answer:
The correct answer is option A.
Step-by-step explanation:
Hi! Nice to meet you and have a great day.
Answer:
The answer is B.
Step-by-step explanation:
How can I put this into an equation?
Answers
Answer:
$65m + 125 = 1165
Step-by-step explanation:
How much money did Joseph earn after mowing 4 lawns?
Answers
Answer: it just depends on how much each lawn pays him
HELPP ME PLZZZZZ ZMZNSNMSMSMS
Answers
Answer:
Step-by-step explanation:
y=3/4x-2
Answer:
y=3/4x-2
Step-by-step explanation:
slope-intercept formual: y = mx + b
m (the slope) = (y2-y1) / (x2-x1) so right here we insert (4-1) / (8-4) = 3/4
b =w here the line touches the y-asix = -2
now insert those numbers in the formual: y = (3/4)x + (-2)
final answer: y=3/4x-2
Jenna has one more logic puzzle to solve!
Write a system of equations to represent this puzzle, using b to represent the value of each book and m to represent the value of each music note. Then solve the system for b and m.
Type the correct answer in each box. Use numerals instead of words.
The value of each book is
.
The value of each music note is
.
Answers
Answer:
The value of each book is 7
The value of each music note is 6
Step-by-step explanation:
The first equation includes the sum of 3 books and 2 music notes, so 3b + 2m = 33.
The second equation includes the sum of 1 book and 3 music notes, so b + 3m = 25.
This is the system that represents the puzzle:
3b + 2m = 33
b + 3m = 25
Solve the second equation for b, and then substitute the equivalent expression for b in the first equation. The value of each music note is 6.
Then, Substitute the value of m into one of the original equations to find the value of b . The value of each book is 7.
The sum of a whole number and twice the square of the number is 10. Find the number
Answers
Answer:
Hey there !
Solution:
Let the number be x
=> x + 2x² = 10
=> 2x² + x - 10 = 0
Factorising the quadratic equation we get,
=> 2x² + 5x - 4x - 10 = 0
=> x ( 2x + 5 ) -2 ( 2x + 5 ) = 0
=> ( x - 2 ) ( 2x + 5 ) = 0
=> x = 2, -5/2
Since x is a whole number, -5 / 2 wont be applicable.
Hence x = 2.
Hence the number is 2.
Hope my answer helped !
Step-by-step explanation:
When are x+3 and 3+x equal? When are they not equal?
Answers
Answer:
when x is any real number
Step-by-step explanation:
commutative property
(2x - 4)(x+3) = 2x(x + 5)
Answers
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x = −3/2
Decimal Form:
x = −1.5
Mixed Number Form:
x = −1/1/2
What’s the answer to this question if your right I’ll keep giving you points
Answers
Answer:
x = 17
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
6x - 15 + 4x - 7 + 2x - 2 = 180, that is
12x - 24 = 180 ( add 24 to both sides )
12x = 204 ( divide both sides by 12 )
x = 17
Given L9 = L13
Which lines, if any, must be parallel based on the given
information? Justify your conclusion.
O c || d. Converse of the Same-Side Interior Angles
Theorem
O a || b. Converse of the Alternate Interior Angles
Theorem
O c || d. Converse of the Corresponding Angles
Theorem
O not enough information to make a conclusion
Answers
On average, light emitted from the Sun takes minutes seconds to reach Earth. Using your approximated speed of light from part (b), as well as the equation distance = rate x time, calculate the approximate distance from the Earth to the Sun in meters. Write your answer in standard form and in scientific notation.
Answers
Complete question :
On average, light emitted from the Sun takes 8 minutes 19 seconds to reach Earth. Using your approximated speed of light from part (b), as well as the equation distance = rate x time, calculate the approximate distance from the Earth to the Sun in meters. Write your answer in standard form and in scientific notation.
Answer:
1.497 * 10^8km
149700000 km
Step-by-step explanation:
Given that:
Time taken = 8 minutes 19 seconds
Speed of light = 3 * 10^8 m/s
Distance from earth to sun :
Speed * time
(3 * 10^8) * ((8 * 60) + 19)
(3 * 10^8) * 499
= 1497 * 10^8 m or 1497 * 10^5 km = 1.497 * 10^8km
= 149700000000 m
= 149700000 km
= 1497
Who knows how to find slopes when given a table ?
Answers
Answer:
Do carrots y divided by the x
Step-by-step explanation:
Janice bought 28 apps for her phone that, altogether used 1,348 MB of space. If each app used the same about of space, about how many MB of memory did each app use?
Answers
Answer: 48.12 MB
1348÷28=48.12(rounded to the nearest hundredths)
I hope this is good enough:
Write an inequality to represent the graph. у -5 3 2- x -5 4 3 2 0 2 5 6 8 -2 -3 -5 (3,5) -6- (0,7) -8 -9 -10
answers:
y ≥ 2/3 x -7
y ≤ 2/3 x -7
y ≥ 3/2 x -7
y ≤ 3/2 x -7
Answers
Answer:
3rd one I think
Step-by-step explanation:
The float committee made a scale model of their float before they started construction. The float committee used the scale 1 inch: 3 feet to create their model. The actual float will be 18 feet long. What is the length of the scale model float in inches? Enter your answer in the box.
Answers
Answer:
6
Step-by-step explanation:
Answer:
6 Inches
Step-by-step explanation:
Factorise 4(x+y)(3a-b)+6(x+y)(2b-3a)
Please solve this fast.
Show your calculation.
Answers
Answer:
(-3a+4b) (2x+2y)
Step-by-step explanation:
Expand.
4(x+y)(3a-b)+6(x+y)(2b-3a) = 4(3ax+3ay-bx-by) + 6(2bx+2by-3ax-3ay)
4(3ax+3ay-bx-by) + 6(2bx+2by-3ax-3ay) = 12ax+12ay-4bx-4by+12bx+12by-18ax-18ay
Calculate like terms.
12ax+12ay-4bx-4by+12bx+12by-18ax-18ay = -6ax-6ay+8bx+8by
Factorise.
-6ax-6ay+8bx+8by = -3a(2x+2y) + 4b(2x+2y)
Factorise further.
-3a(2x+2y)+4b(2x+2y) = (-3a+4b) (2x+2y)
On Monday. I bought 3 shirts and 7 pairs of pants for a total cost of $17.25. On
Tuesday, I bought 3 shirts and 9 pairs of pants for a total cost of $20.25. Can you
find the price of each item?
Answers
Answer:
Shirt: $2.25. and Pants: $1.50
Step-by-step explanation:
Set up equations with shirts as s and pants as p.
3s+7p=17.253s+9p=20.25Subtract them as there are two variables and two equations:
-2p=-3Make positive, 2p=3Divide, p=1.5To find s:
3s+7(1.5)=3s+10.5=17.25, so 3s=6.75 and s=2.253s+9(1.5)=3s+13.5=20.25, so 3s=6.75 and s=2.251 pair of pants cost $1.65