Explanation:
We assume your question is "why is that name given to these three numbers?"
There are many names in mathematics that are given to sequences or sets of numbers having a particular characteristic. The term "Pythagorean triple" is usually reserved for three positive integers that satisfy the relation "the sum of the squares of the smaller two is equal to the square of the largest."
This relationship exists between the side lengths of a right triangle, which is the point of the Pythagorean theorem. So, integer side lengths of a right triangle constitute a "Pythagorean triple."
_____
If your question is "why do right triangle side lengths have the relationship specified by the Pythagorean theorem?", that demands a different answer. In general, the sides and angles of a triangle obey the Law of Sines and the Law of Cosines.
One of the expressions of the Law of Cosines is ...
c² = a² +b² -2ab·cos(C)
where C is the angle opposite side c in the triangle. You may recall that the cosine of 90° is zero, so the cosine term in this equation vanishes when angle C is a right angle. The remaining equation is ...
c² = a² +b²
This is an expression of the Pythagorean theorem, and it is true only for right triangles.
What’s the correct answer for this?
Answer:
c
Step-by-step explanation:
Answer:
P=19.2 ft
Step-by-step explanation:
ACCORDING TO THE THEOREM,
BC=2(DE)
So BC =2(3.2)
BC=6.4 ft
Now
AB=2(EF)
AB=2(4)
AB=8 ft
Now
AC = 2(DF)
AC= 2(2.4)
AC=4.8 ft
Now we're gonna find the perimeter which is sum of all sides
Perimeter=4.8+8+6.4
P= 19.2 ft
TO DETERMINE THE AMOUNT OF WRAPPING PAPER NEEDED FOR A RECTANGULAR BOX, RYAN FINDS THE SURFACE AREA OF THE BOX. HOW MUCH WRAPPING PAPER IS NEEDED IF THE BOX MEASURES 11 cm by 2 cm by 4 cm?
Answer:
288
Step-by-step explanation:
A=2(11*4+11*7+4*7)
A=2(44+77+28)
A=2(149)
A=[tex]298 inches^{2}[/tex]
To wrap the provided package, Ryan would need 148 cm² of wrapping paper.
What is Surface area?The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.
Given, the measures of the box are 11 * 2 *4 cm.
We need to find out how much wrapping paper would be required. to achieve that we need to calculate the surface area of the box.
From the general formula of the surface area of a cuboid.
Surface area = 2*(length*width + width * height + width * height)
in our case,
length = 11
width = 2
and height = 4
Thus,
Surface area = 2 (11*2 + 2*4 + 11*4)
Surface area = 2(22 + 8 + 44)
Surface area = 148 cm²
Therefore, Ryan would need 148 cm² of wrapping paper to wrap the box given.
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a circle with circumference 18 had an arc with 120 central angle. what is the length of the arc
Answer:
A circle with circumference 18 had an arc with 120 central angle.
=> Radius of that circle: R = 18/(2 x pi) = 2.86
=> Length of that arc: L = R x 120 x pi/180 = 2.86 x (2/3) x pi = 5.99
Hope this helps!
:)
Answer:
6
Step-by-step explanation:
Angle: arc length
360 : 18
120 : X
X/120 = 18/360
X = 120 × 18/360
X = 6
Can u guys help me plz!!!
Answer:
1 is B
2 is B
3 is D
4 is C
Step-by-step explanation:
Dont care enough to explain all of them
Helpppppp!.!.!.!.!.!.!.!.!.!!.
Answer:
~ 84 cm of the pop in the poster ~
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. Given the information, let us create a proportionality as such:
7 = 1 ⇒ x - centimeters of the pop in the poster
x 12
2. Now let us cross multiply, and solve through simple algebra for x:
7 * 12 = x,
x = 84 centimeters of the pop in the poster
Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with his new
job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off
his debt. He constructs the expression 36, 700 - (5,000+ 500m)to represent the size of his debt after m months. Which number
describes the value of his signing bonus?
I need help plz
Answer:
Michael needs to save $63.40, approximately.Step-by-step explanation:
The given expression is
[tex]36,700 - (5,000 + 500m)=0[/tex]
Where [tex]m[/tex] is months.
We need to solve for the variable.
[tex]36,700-5,000-500m=0\\31,700=500m\\m=\frac{31700}{500} \approx 63.4[/tex]
Therefore, Michael needs to save $63.40, approximately.
Answer:
The number representing describing the value of his signing bonus = 5,000.
Step-by-step explanation:
Total debt = $36,700
He pays $500 every month from his monthly salaries, since m = months.
The $5,000 is the amount of his signing bonus, which puts entirely towards paying off his debt.
It is like the fixed payment. While the 500m is the variable payment per month.
So, at the end of any number of months, you can easily calculate the remaining debt using the expression, 36,700 - (5,000 + 500m)
How large is the largest button in the jar ? , is this an statistical question ?
3.5.49 X 0.67 *
Your answer
What is the answer
Answer:
2.37783 or 23.7783
Step-by-step explanation:
The equation of a circle is given below.
(x + 7) + (y + 8)= 4/9
What is its center?
What is its radius?
If necessary, round your answer to two decimal places,
units
Show Calculator
Answer: center (-7,-8) radius (2/3)
Step-by-step explanation:
Whats the Doubled Recipe ?
4 ½ ripe tomatoes
⅝ red onion
⅖ garlic cloves
3 jalapenos
⅓ cupe fresh cilantro
3 tablespoons fresh lime juice
2 ½ teaspoons ground cumin
2 ¾ teaspoons
1 ½ teaspoons salt
15 ounces crushed tomatoes ( 1 can)
4.5 ounces diced green childes (1 can)
Answer:
9 ripe tomatoes
1 1/4 red onion
4/5 garlic cloves
6 jalapeños
2/3 cup fresh cilantro
6 teaspoons ground cumin
5 1/2 teaspoons
3 teaspoons salt
30 ounces crushed tomato (2 cans)
9 ounces dices green chilies (2 cans)
Math Help!!! Can someone solve this?? I will give you Brainliest!!!!!!
Answer:first one is false, second is true and third is true
Step-by-step explanation:
Which observation supports the idea that light is made of particles
Answer:
light moves in a straight path
Step-by-step explanation:
Answer:
D on edge
Step-by-step explanation:
took the test bb
What is the area of this parallelogram?
6 cm
2 cm
Answer:
12
Step-by-step explanation:
Area= base*height
Area= 6*2
Answer:
12cm
Step-by-step explanation:
hight & Base=6 cm & 2 cm
Formula for area: hight×base=6 cm×2 cm
12cm
In one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is ok. Among 810 airport baggage scales, 102 are defective (based on data from the NY Department of Consumer Affairs). If four of the scales are randomly selected and tested, what is the probability that the entire bath will be accepted
Answer:
[tex]X \sim Hyp (N = 810, M=102, n=4)[/tex]
[tex] P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}[/tex]
And solving we got:
[tex] P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583[/tex]
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
Step-by-step explanation:
For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:
[tex]X \sim Hyp (N = 810, M=102, n=4)[/tex]
[tex]P(X=k)= \frac{(MCk)(N-M C n-k)}{NCn}[/tex]
Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes
And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:
[tex] P(X=0)[/tex]
And using the probability mass function we got:
[tex] P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}[/tex]
And solving we got:
[tex] P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583[/tex]
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
On Tuesday, the bottles of iced tea filled in a plant were supposed to contain an average of 20 ounces of iced tea. Quality control inspectors sampled 50 bottles at random from the days production. These bottles contained an average of 19.6 ounces of iced tea
Identify the population
Identify the parameter
Identify the sample
Identify the statistic
Answer:
i) The bottles of iced tea filled in a plant is the Population
ii) The Average of Population μ = 20 is called Parameter
iii) The sample size 'n' = 50
iv) The mean of the sample 'x⁻ = 19.6 ounces
Step-by-step explanation:-
Population:-
The total number of observations which we are concerned , whether this number be finite or infinite is called Population.
In Given data
The bottles of iced tea filled in a plant is the Population
Parameter:-
The statistical constants of the Population namely mean and variance are usually refereed to as Parameters.
The Average of Population μ = 20 is called Parameter
Sample:-
A sample is a subset of population
given data sample size n=50 bottles at random from the days of production
Statistics
The sample mean x⁻ and variance S² is called statistics
Given data
These bottles contained an average of 19.6 ounces of iced tea
x⁻ = 19.6 ounces
Of the 250 students at Moreland middle school, 80% ride the bus to school. Monica wants to know the number of students that ride the bus.
Answer:
200; 80% of 250 is 200
Answer:
Step-by-step explanation:
200
On Tuesday, Katy ran a mile in 8.34 minutes. She ran another mile in 7.89 minutes on Wednesday. What was the total time for both miles? Do not include units.
Answer:
16.23
Step-by-step explanation:
Add the times
Answer:
16.23 minutes
Step-by-step explanation:
Total time = sum of the two times
= 8.34 + 7.89
= 16.23 minutes
if d=2 what is the value of
Answer:C
Step-by-step explanation:
8/(4-d) d=2
8/(4-2)
8/2=4
The number of cars sold at a dealership over several weeks is given below.
14, 23, 31, 29, 33
What is the standard deviation for this set of population data?
Standard deviation: Sigma = StartRoot StartFraction (x 1 minus mu) squared + (x 2 minus mu) squared + ellipsis + (x N minus mu) squared Over N EndFraction EndRoot
6.9
12.4
15.4
47.2
Answer:
A. 6.9
Step-by-step explanation:
Edge 2020
The standard deviation for the set of population data given in the question is 6.9
How to determine the meanData = 14, 23, 31, 29, 33Number of data (n) = 5Summation of data = 14 + 23 + 31 + 29 + 33 = 130Mean (μ) =?Mean = summation of data / number
μ = 130 / 5
μ = 26
How to determine the standard deviationData = 14, 23, 31, 29, 33Mean (μ) = 26Number of data (n) = 5Standard deviation (σ) =?σ = √[[(x₁ - μ)² + (x₂ - μ)² + (x₃ - μ)² + (x₄ - μ)² + (x₅ - μ)²] / n]
σ = √[[(14 - 26)² + (23 - 26)² + (31 - 26)² + (29 - 26)² + (33 - 26)²] / 5]
σ = √[236 / 5}
σ = 6.9
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Please help me with this math question. Thank You so much
Answer:
1/32
Step-by-step explanation:
1/4 divided by 8 equals 1/32 using calculator. No explanation really... Brainliest?
Answer:
1) 1/32
Step-by-step explanation:
1/4 = 0.25
0.25/8 = 0.03125
turn 0.03125 into a fraction and get = 1/32
On a team, 8 girls and 5 boys scored a total of 94 points. The difference between the number of points scored by the 8 girls and the number of points scored by the 5 boys is 34. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy
Answer:
g = 8 points
b = 6 points
Step-by-step explanation:
If each girl scores g points, and each boy scores b points, then:
8g + 5b = 94
8g − 5b = 34
Add the equations together.
16g = 128
g = 8
Solve for b in either equation.
8(8) + 5b = 94
5b = 30
b = 6
I need help if you answer it ill make you the brainliest!!!
2x+5= 17
what is the value of X?
help me as soon as possible please
Answer:
65.45 units^3
Step-by-step explanation:
5/2 (5 divided by 2) 2.5, to get the radius,
then using the volume equation you get 65.449846-bla bla, rounding: 65.45
-Hope this helps! ❤️
1. Which number does NOT represent a whole number?
A 25
B 13
С
150
3
D 3.5
Answer:
D 3.5
Step-by-step explanation:
A number with a decimal can NOT represent a whole number.
In order to evaluate the performance of the artificial pancreas, a researcher randomly draw 5 rats as a control group, and draw other 5 rats as a treatment group. The control group did not receive the artificial pancreas, the treatment group did. The research wanted to compare the blood-sugar readings for the treatment group with those of the control group. The treatment group has a sample mean blood-sugar reading Y = 400 unit and a standard deviation Si = 80 unit. The control group has a sample mean blood-sugar reading Y, = 200 unit and a standard deviation S2 = 50 unit. Assume the population variances are not equal, calculate the standard error for the difference of the sample means Ý -Y (Round to three decimal places)
Answer: 42.190
Step-by-step explanation:
From the question, the population variances are not equal. The calculation has been attached in the picture below.
The answer is 42.190 to 3 decimal places.
Kevin goes to the grocery store and buys a box of cereal, a family size box of cereal, a candy bar, and a king sized candy bar. He notices that the family sized box of cereal is twice as big as the regular box of cereal and the king size candy bar is twice as big as the regular candy bar. Kevin believes that because the family sized box of cereal and king sized candy bar are twice the size that the volume is also twice the size. Is Kevin correct in his thinking?
Which description matches finding the volume of the solid?
Answer:
Cylinder + Rectangular Prism
Step-by-step explanation:
On the sides we can see 2 half-cylinders. 2 half-cylinders make up 1 whole cylinder. In between the half-cylinders, a rectangular prism is squashed.
Think of this as a sandwich, the 2 buns are half cylinders, and the meat is the prism.
Therefore the answer is a cylinder and a rectangular prism.
A class of 64 students was given 320 book how many will each students take home
Each student will take=320/64
=5
So the answer is 5.
Hope it will be helpful to you...
✧◝(⁰▿⁰)◜✧
A 14-foot ladder is leaning against the side of a house.The angle the ladder makes with the ground is 50 degrees. How far is the base of the ladder from the house to the nearest tenth of a foot
Answer:
9 ft
Step-by-step explanation:
You can use cosine to solve this, which is adjacent over hypotenuse. The ladder forms a triangle with the house, and the side you need to solve for is adjacent to the angle. You can set up the equation:
cos(50)=x/14
Then you multiply 14 by cos(50) and get almost 9 ft (rounding to the nearest tenth of a foot).
Simplify the remaining expression completely x^6y^4/xy^2
Answer: x^5y^2
Step-by-step explanation:
Answer:
the answer is a on edge 2020
Step-by-step explanation:
I just took the test
