The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the
hypotenuse by the formula a2 + b2 = 2
If a is a rational number and b is a rational number, why could c be an irrational number?

Answer:

Let x=numerator,

y=denominator.

y=x+7 - - - - - (i)

(x+3)/(y+3) = 2/3

(Cross multiply)

3(x+3)=2(y+3)

3x+9=2y+6

(subtract 9 from both sides)

3x+9–9=2y+6–9

3x=2y+6–9

3x=2y-3 - - - - - - - (ii)

(substitute the value of equation (i) into (ii))

3x=2(x+7)-3

3x=2x+14–3

3x=2x+11

(subtract 2x from both sides)

3x-2x=2x+11–2x

x=11.

(substitute the value of x into equation (i))

y=7+11

y=18.

so numerator =11,

numerator =11,denominator = 18.

So original fraction is 11/18.

3/11th of original fraction is

= 11/18 x 3/11

= (11x3)/(18x11)

= 3/18

=1/6.

Answer = 1/6.

Answer:

Step-by-step explanation:

let numerator be x and denominerator be y

according to the question equation is

1+x /7+x+6=1/2( do cross multiplication)

7+x+6=2(1+x)

13+x=2+2x

13-2=2x-x

11=x

numerator =x+1=11+1=12

therefore numerator is 12

for denominerator

substitute the value of x in (7+x+6)

=7+11+6

24

Answer:

The awnswer is b c and e

Step-by-step explanation:

I submmited it and got it right hope this helps :D

The shapes which have all the properties shown are C. Rectangle and E. Square.

Isosceles triangles are defined as the triangles for which two sides or two angles are equal to each other.

Given properties are,

At least 2 sides of equal length

2 pairs of parallel sides

At least 2 right angles

Since the property includes that 2 pairs of parallel sides, it must contain 4 sides in total.

So triangle can't be a possible shape.

Parallelogram can't also be possible since there are no right angles.

Only right trapezoids are possible since the other ones will not have al least two right angles.

Rectangle and square are possible.

Hence the correct shapes are Rectangle and Square.

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Answer:

295sq feet

Step-by-step explanation:

25*10=250

5*5=25

5*4=20

250+25+20=295

Answer:

295

Step-by-step explanation:

295

Answer:

the correct answer is 7.78

Answer:

$8,835

Step-by-step explanation:

Multiply the total ($20,615) by 3/7 to get your answer.

Answer:

Circumference is the area around the whole circle

Step-by-step explanation:

Answer:

The circumference is 50.2

Step-by-step explanation

I worked it out by

C = 2 * π *

Answer:

D 0.2

Step-by-step explanation:

YES THIS IS RIGHT

The required, mean of the sample proportions would approach is 0.2.

Normal distributions can be altered to standard normal distributions by the formula:

Z = (X - μ)/σ

As the size of each sample increases, the mean of the sample proportions would approach the population parameter, which in this case is 0.2. This is known as the central limit theorem.

Therefore, the answer is D. 0.2.

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A polygon is convex if all the diagonals are found in the interior of a polygon.

A regular polygon is both equiangular and equilateral

Option B and C

A polygon is simply defined as a shape, A polygon is a flat-surfaced two-dimensional shape that has straight sides.

In conclusion

A polygon is convex if all the diagonals are found in the interior of a polygon.

A regular polygon is both equiangular and equilateral

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Answer:

A solar eclipse occurs when the moon gets between Earth and the sun, and the moon casts a shadow over Earth. A solar eclipse can only take place at the phase of new moon, when the moon passes directly between the sun and Earth and its shadows fall upon Earth's surface

Step-by-step explanation:

[tex]range = (3,7,1) - (9,6,7) \\ = ( - 6,1, - 6) \\ distance = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } \\ = \sqrt{ {( - 6)}^{2} + {1}^{2} + {( - 6)}^{2} } \\ = \sqrt{73} \\ = 8.5 \: units[/tex]

The distance between points (3,7,1) and (9,6,7) is 8.54 units and the midpoint of the segment is (6, 6.5, 4).

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

We need to find the distance between points (3,7,1) and (9,6,7).

Distance=√(9-3)²+(6-7)²+(7-1)²

=√6²+(-1)²+(6)²

=√36+1+36

=√73

=8.54 units

So the distance between the two points is approximately 8.5 units.

To find the midpoint of the segment between the two points, we use the midpoint formula:

midpoint = ((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2)

Using the given points, we have:

midpoint = ((3+9)/2, (7+6)/2, (1+7)/2)

= (6, 6.5, 4)

So the midpoint of the segment is (6, 6.5, 4).

Hence,  the distance between points (3,7,1) and (9,6,7) is 8.54 units and the midpoint of the segment is (6, 6.5, 4).

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Answer:

C I got that

shdjdhfbfhfkdnfhfhfhfbf it wants me to do 20 characters long

Answer:

r = 10 ft

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cylinder Formula: V = πr²h

Step-by-step explanation:

Step 1: Define

Identify variables

Volume V = 2000π ft³

Height h = 20 ft

Radius r = unknown

Step 2: Solve for r

Answer:10 ft

Step-by-step explanation:

the second option I highly think this is correct but I'm so sorry if not!!! I even did research to see if I was right

Answer:

Step-by-step explanation:4.4

which two questions???

Answer:

Sorry if its wrong

Step-by-step explanation: Here's my answer

YMCA

YMAC

YCAM

YACM

ACMY

CAMY

MACY

MCAY

Have a nice day ^-^

Answer:

78,160

Step-by-step explanation:

Answer:

That would be 78,160

Step-by-step  explanation:

Answer:

Large=6, medium=4

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

radius-18

diameter = r×2

=18×2=36

hope it will help u

always remember the formula for the diameter and radius so just incase

diameter= x

radius=x÷2

Answer:

Step-by-step explanation:

What is the diameter of  a circle with a radius 18?

d=36

Solution

d=2r=2·18=36

What is the diameter of a circle with the circumference of 18?

d≈5.73

Using the formulas

C=2πr

d=2r

Solving ford

d=C/ π=18/ π≈5.72958

Answer:

if Marcia uses 9 parts water, that mean she will have to use 3 parts syrup

Step-by-step explanation:

this is ratios,

so to find out how many syrup she needs, you need to see how much she used water from the original recipe

so:

9 ÷ 3 = 3

so she multiplied three to get to nine, so we have to do the same to the syrup

_ ÷ 1 = 3

or:

3 × 1 = 3

so the answer is 3

Answer:

20        

Step-by-step explanation:

In area you have to multiply so 10 x ? = 200

10 x 20 = 200

Answer:

a) All girls - 12C8 /20 C8

b) All boys - 8C8/20C8

c) 4 girls and 4 boys - 8C4 * 12C4/20 C8

d) 3 girls and 5 boys - 8C5 * 12C3/20 C8

e) At least one boy - 1 - 12C8 /20 C8

f) At least two girls 1 - (1 - 8C8 /20 C8)

Step-by-step explanation:

Given -

Total girls - 12

Total boys - 8

a) All girls - 12C8 /20 C8

b) All boys - 8C8/20C8

c) 4 girls and 4 boys - 8C4 * 12C4/20 C8

d) 3 girls and 5 boys - 8C5 * 12C3/20 C8

e) At least one boy - 1 - 12C8 /20 C8

f) At least two girls 1 - (1 - 8C8 /20 C8)

Answer:

Perimeter = 144 inches

Step-by-step explanation:

Perimeter of the square = area of one side x 4

36 x 4 = 144 inches

Answer:

58

Step-by-step explanation:

i think the answer is 58 please give brainliest

Answer:

(a) 18.5ft

(b) 388.5 ft²

Step-by-step explanation:

(a)

She has 79ft of fence = the perimeter will be 79.

Perimeter of a rectangle = 2(length) +2(width)

79 = 2(21)+2(width)

2(width) = 79 - 42

width = 37/2

width = 18.5ft

(b)

Area of a rectangle = (length)(width) = (21)(18.5) = 388.5 ft²

Answer:

5!= 5×4×3×2×1

117+3=120

5×4×3×2×1= 120

therefore 117+3=5! is correct

The statement 117+3 = 5! is correct because;

The left hand side and right hand side give the same solution of 120.

We want to find out why 117 + 3 = 5! is correct.

Let us first find the left hand side of the equation;

117 + 3 = 120

Now, for the right hand side, 5! simply means 5 factorial.

Factorial of a number is a term used in maths to denote the product of all

positive integers less than or equal to that number. For example; n!. That is

factorial and it means the product of all positive integers below n.

Let's apply the concept of factorial to 5!.

All positive integers less than or equal to 5 are; 5, 4 , 3, 2, 1

Thus; 5! = 5 × 4 × 3 × 2 × 1 = 120

This 5! = 120 and it is the same as 117 + 3 = 120. Thus the given statement in the question is true.

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Answer:

D 23, 36, 25, 38, 30

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all it's values divided by the number of values.

Median of a data-set:

The median of a data-set is the value that separates the lower 50% from the upper 50% on the ordered set.

If the cardinality n is odd, as in this case, the median is the element at the position (n+1)/2. Since in this case, n = 5, the median is the 3rd element in the ordered set.

A 13, 42, 17, 26, 38

Ordered set: 13, 17, 26, 38, 42

Median: 26

Mean: (13+17+26+38+42)/5 = 27.2

Difference: 27.2 - 26 = 1.2

B. 28, 7, 36, 8, 17

Ordered set: 7, 8, 17, 28, 36

Median: 17

Mean: (7+8+17+28+36)/5 = 19.2

Difference: 19.2 - 17 = 2.2

C 14, 29, 38, 7, 13

Ordered set: 7, 13, 14, 29, 38

Median: 14

Mean: (7+13+14+29+38)/5 = 20.2

Difference: 20.2 - 14 = 6.2

D 23, 36, 25, 38, 30

Ordered set: 23, 25, 30, 36, 38

Median: 30

Mean: (23+25+30+36+38)/5 = 30.4

Difference: 30.4 - 30 = 0.4

Option d has the smallest difference.