Answer:
B. 2,3,4
Step-by-step explanation:
Using the Pythagorean Theorem:
A. 1^2+3^2=(sqrt10^2)
B. 2^2+3^2not equal to 4^2
C. 3^3+4^2=5^2
D. 8^2+15^2=17^2
The set of numbers {2, 3, 4} could not represent the lengths of the sides of a right triangles.
The correct option is an option (B).
What is Pythagorean triples?"For integers a, b, c if a² + b² = c², then these integers are called as Pythagorean triples they can be denoted as (a, b, c)"
What is Pythagoras theorem?"For a right triangle,
c² = a² + b², where c is the hypotenuse and a, b are any two sides of the right triangle."
What is hypotenuse?"It is the lonest side of the right triangle."
For given example,
We need to find the set of numbers that could not represent the lengths of the sides of a right triangles.
If the set of numbers is not Pythagorean triple then it would not represent the lengths of the sides of a right triangles.
A) {1, 3, √10}
let a = 1, b = 3, c = √10
⇒ c² = (√10)²
⇒ c² = 10
Consider, a² + b² = 1² + 3²
⇒ a² + b² = 1 + 9
⇒ a² + b² = 10
⇒ a² + b² = c²
This means, these numbers are Pythagorean triple.
So, these numbers represents the lengths of the sides of the right triangle with hypotenuse √10 unit and other two sides are 1 unit and 3 units.
B) {2 ,3, 4}
let a = 2, b = 3, c = 4
⇒ c² = (4)²
⇒ c² = 16
Consider, a² + b² = 2² + 3²
⇒ a² + b² = 4 + 9
⇒ a² + b² = 13
⇒ a² + b² ≠ c²
This means, these numbers are not a Pythagorean triple.
So, these numbers does not represent the lengths of the sides of the right triangle.
C) {3, 4, 5}
let a = 3, b = 4, c = 5
⇒ c² = (5)²
⇒ c² = 25
Consider, a² + b² = 3² + 4²
⇒ a² + b² = 9 + 16
⇒ a² + b² = 25
⇒ a² + b² = c²
This means, these numbers are Pythagorean triple.
Hence, these numbers represents the lengths of the sides of the right triangle with hypotenuse 5 units and other two sides are 3 units and 4 units.
D) {8, 15, 17}
let a = 8, b = 15, c = 17
⇒ c² = (17)²
⇒ c² = 289
Consider, a² + b² = 8² + 15²
⇒ a² + b² = 64 + 225
⇒ a² + b² = 289
⇒ a² + b² = c²
This means, these numbers are Pythagorean triple.
So, these numbers represents the lengths of the sides of the right triangle with hypotenuse 17 units and other two sides are 8 units and 15 units.
Therefore, the set of numbers {2, 3, 4} could not represent the lengths of the sides of a right triangles.
The correct option is an option (B).
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help its pi, ill give brainiest to the first answer show work please :)
Answer:
16m
8m
50.24m
200.96m^2
Step-by-step explanation:
13. 8*2=16
14. 8m
15. 2pi r = 2* pi* 8= 50.24
16. pi r^2 = pi * 8^2= 200.96m^2
What is the value of x in the equation 3(2x + 4) = −6? (4 points)
a
−3
b
1
c
12
d
19
Answer:
x = - 3
Step-by-step explanation:
Given
3(2x + 4) = - 6 ( divide both sides by 3 )
2x + 4 = - 2 ( subtract 4 from both sides )
2x = - 6 ( divide both sides by 2 )
x = - 3
ignore the top part.
but can someone help me with part b please?
Answer:
i think its c
Step-by-step explanation:
PLS HELP WITH EIGHTH GRADE ALGEBRA
Answer:
i think its -13/10
Step-by-step explanation:
Answer:
-13/10
Step-by-step explanation:
how do i write this as an expression?
Answer:
4^3 - 25
Step-by-step explanation:
4^3 - 25 = 39
difference means subtract
⚠️Please help ⚠️what is an ratio
Answer:
Ration is an ordered pair of numbers that show a comparison between two things.
Nikisha and Kevin need to paint the outside of their barn. Each 1/ 2-gallon can paints 1/8 of the barn.How many 1-gallon cans are needed to paint the outside of Nikisha’s and Kevin’s barn? plz help me!!!!!!
Answer:
they need 4 gallons
Step-by-step explanation:
so 1/2 gallon paints 1/8 of the barn
1 gallon paints 2/8, 1 1/2 gallons paint 3/8 of the barn
2 gallons paints 4/8 half of the barn and so on until it gets to 8/8 or the full barn.
Hakim is a kickboxing instructor who will be teaching classes at a local gym. To get certified as an instructor, he spent a total of $90. Hakim will be earning a base salary of $70 per month from the gym, plus an additional $5 for every class he teaches. If Hakim teaches a certain number of classes during his first month as an instructor, he will earn back the amount he spent on certification. How many classes will that take?
Answer:
4 classes
Step-by-step explanation:
So to solve this problem, you can make an equation. Since he makes $70 per month and $5 per class, and you're trying to figure out how many classes he has to take to get $90, you have the equation 70 + 5x = 90.
Then, you solve:
[tex]5x + 70 = 90[/tex]
subtract 70 from both sides
[tex]5x = 20[/tex]
divide both sides by 5
[tex]x = 4[/tex]
So you get that he has to take 4 classes.
A taco stand sells 300 tacos in four hours. At this rate, how many 1 tacos would sell in z an hour?
Answer:
75
Step-by-step explanation:
300/4=75
Please help I have no clue
Answer:
20 miles in 2 hours
Step-by-step explanation:
2 is h, which is the time, and 20 is mi, which is the distance
HELP HELP HELP!! WILL GIVE BRAINLIEST!
Explain C.
Answer:B
Step-by-step explanation:
John borrowed $20,000 from Beth. He pays $500 per month in interest. What is the percentage interest rate?
Answer: 2.5%
Step-by-step explanation:
From the question, we are informed that John borrowed $20,000 from Beth and that he pays $500 per month in interest.
The percentage interest rate would be calculated thus:
= Amount paid as interest / Amount borrowed × 100
= 500/20000 × 100
= 2.5%
What is the interquartile range of the following set
Please help
Chose the equation that has solutions (5,7) and (8,13)
[tex]3x - y = 8[/tex]
[tex]y = x + 2[/tex]
[tex]y - x = 5[/tex]
[tex]y = 2x - 3[/tex]
Answer:
no
Step-by-step explanation:
yes because no
Maggle's brother 13 years younger than twice her age. The sum of their ages 32.
How old is Maggie ?
Maggie is years old?
Answer:
Maggie is 15 and her brother is is 17
Step-by-step explanation:
15+17=32
15 x 2 = 30 - 13 = 17 + 15 = 32
A store employs 11 women and 12 men.
What percentage of the employees are men?
Give your answer to 1 decimal place.
Answer:
52.2%
Step-by-step explanation:
To find a percentage of something you divide the amount by the maximum number:
11 + 12 = 23
12 ÷ 23 = 0.5217 = 1%
Then times 0.5217 by 100 to get the percentage of male employees
Hope that helped!
His college Jason can take a maximum of 21 hours each semester between elective classes and core classes each elective class cost $225 per semester hour and each core class costs $275 per semester hour. If he cannot spend more than $6,000 each semester on classes which system of any qualities below can be used is a Herman the number of elective classes e and the number of core classes c he can take each semester?
Answer:
D. e + c ≤ 21, 225e + 275c ≤ 6000Step-by-step explanation:
Maximum of 21 hours each semester between elective classes and core classes, the required inequality is:
e + c ≤ 21Each elective class cost $225 per semester hour and each core class costs $275, the sum is 225e + 275c.
He cannot spend more than $6,000, the required inequality is:
225e + 275c ≤ 6000Correct option is D
What is the greatest common factor of 15 and 48?
Answer:
3
Step-by-step explanation:
48= 1, 2, 3, 4, 6, 8 ,12, 16, 24, 48.
15= 1, 3, 5, 15, 30, 45 and so on but only 3 can go into 48 and 15 and it is the greatest since there are no other common greater numbers between them.
help me do this question i need help
Answer:
P = 35 cm
Step-by-step explanation:
Rectangles
Being x and y the dimensions of a rectangle, the perimeter can be calculated as:
P = 2x + 2y
The smaller rectangles of the figure have a width of x cm. We don't know the value of the length, but we can see how the two smaller horizontal rectangles' widths complete the height of the vertical rectangle. Since all the rectangles are identical, then the height of each rectangle is
y = 2x
Substituting in the formula and knowing the perimeter is 21:
2x + 2(2x) = 21
6x = 21
x = 21/6 = 7/2 = 3.5
The large rectangle has a width of 2x and a length of y+x = 3x, thus the perimeter is:
P = 2(2x) + 2(3x) = 4x + 6x = 10x
Since x=3.5 cm:
P = 35 cm
please help for 16 points
NO WRONG ANSWERS PLEASE
Answer:
x = 30, x = 5 and x = 9
Step-by-step explanation:
The diagonals of a square are perpendicular bisectors of each other, so
∠ AEB = 90° , then
3x = 90 ( divide both sides by 3 )
x = 30
---------------------------------------------------------
(9)
The 4 angles of a square are right and the diagonals bisect the angles, then
∠ BAC = 45° , so
9x = 45 ( divide both sides by 9 )
x = 5
-------------------------------------------------------
(10)
All sides are congruent , so
CD = AB , that is
3x - 5 = 2x + 4 ( subtract 2x from both sides )
x - 5 = 4 ( add 5 to both sides )
x = 9
Jack and Jill applied for the same credit card from the same bank. The bank checked both of their FICO scores. Jack had an excellent credit rating, and
Jill had a poor credit rating
Jack was approved for a card with an APR of 12%. What was his monthly periodic rate?
Jill was approved for a card with an APR of 21%. What was her monthly periodic rate?
If each of them had an average daily balance of $700 and had to pay a finance charge, how much MORE will Jill pay than Jack?
Answer:
a. Jack's monthly periodic rate = 1%
b. Jill's monthly periodic rate = 1.75%
c. Amount paid more by Jill than Jack = $5.25
Step-by-step explanation:
a. Jack was approved for a card with an APR of 12%. What was his monthly periodic rate?
Jack's monthly periodic rate = Jack's annual percentage rate (APR) / Number of months in a year = 12% / 12 = 1%
b. Jill was approved for a card with an APR of 21%. What was her monthly periodic rate?
Jill's monthly periodic rate = Jill's APR / Number of months in a year = 21% / 12 = 1.75%
c. If each of them had an average daily balance of $700 and had to pay a finance charge, how much MORE will Jill pay than Jack?
Jack's finance charge = Jack's monthly periodic rate * Average daily balance = 1% * $700 = $7
Jill's finance charge = Jill's monthly periodic rate * Average daily balance = 1.75% * $700 = $12.25
Amount paid more by Jill than Jack = Jill's finance charge - Jack's finance charge = $12.25 - $7 = $5.25
Find the slope of the line that contains the following points: (6,-2) and
(-3,1)
Answer:
-1/3
Step-by-step explanation:
(6,-2) (-3,1) -2-1 = -3
6-(-3) = 9
-3/9 = -1/3
18,18,15,18,18,24,21,21,24,14 which one is mean
Answer:19.1
Step-by-step explanation: Put the numbers in order and then add the numbers and then divide it by how many number there is
14+15+18+18+18+18+21+21+24+24=191
191/10=19.1
Which sentence is written correctly? A. Him and they went swimming. B.Him and them went swimming. C.He and them went swimming. D.He and they went swimming.
Answer:
d is the answer your welcome!! :)
Step-by-step explanation:
This is geometry so you know
Answer:
b
Step-by-step explanation:
Answer:
B. 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
if angle A is 90 and B is 45 then C must be 45 (all three angles must add to 360)
this is an isosceles right triangle and the ratio of legs to hypotenuse is 1 : [tex]\sqrt{2}[/tex]
so if each leg is 8 then the hypotenuse is that value multiplied by [tex]\sqrt{2}[/tex]
2 Rectangle ABCD has a length of 13 in. and a width of 8 in. Rectangle JKLM has a width of 28 in. The length of Rectangle JKLM is ?
Answer:22
Step-by-step explanation:6627282
Factor out the coefficient of the variable term.
The expression 1/2n-1/2 factored is : ?
7th.
Given:
The expression is
[tex]\dfrac{1}{2}n-\dfrac{1}{2}[/tex]
To find:
The factored form of given expression after factor out the coefficient of the variable term.
Solution:
We have,
[tex]\dfrac{1}{2}n-\dfrac{1}{2}[/tex]
Here, the coefficient of variable n is [tex]\dfrac{1}{2}[/tex].
It can be written as
[tex]=\dfrac{1}{2}\times n-\dfrac{1}{2}\times 1[/tex]
Taking out [tex]\dfrac{1}{2}[/tex] as common factor, we get
[tex]=\dfrac{1}{2}(n-1)[/tex]
Therefore, the factored from of given expression is [tex]\dfrac{1}{2}(n-1)[/tex].
Which equation describes the line with a slope of 5 and y-intercept of -3?
A y=-3x + 5
C y = 5x - 3
By= 3x - 5
D y = 5x + 3
Pls helpp
Answer:
[tex]y = 5m - 3[/tex]Step-by-step explanation:
to understand the solving stepsyou need to know about:linear equationPEMDASgiven:slope or m=5
y-intercept or b=-3
to find:[tex]y = mx + b[/tex]
let's solve:according to the question
[tex]y = 5m + ( - 3)[/tex]
[tex]y = 5m - 3 [/tex]
Which of the following is the factored
form of the trinomial below?
x2 + 8x + 15
If 4 quarts fill 16 cups then how many cups does 6 quarts fill
Answer:
24
Step-by-step explanation:
16/4=4
1q fills 4 cup
so 6x4=24
The number of cups filled with 6 quarts is 24 cups.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
4 quarts fill 16 cups.
This means,
4 quarts = 16 cups
1 quart = 4 cups
1 quart will fill 4 cups.
Now,
1 quart = 4 cups
Multiply 6 on both sides.
6 quarts = 6 x 4 cups
6 quarts = 24 cups
Thus,
24 cups will be filled with 6 quarts.
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