Step-by-step explanation:
line CD, WE and BD are half of the length of CD
Select from the drop-down menus to correctly complete the proof. To prove that 4π is irrational, assume the product is rational and set it equal to ab, where b is not equal to 0: 4π=ab. Isolating π gives π=a4b. The right side of the equation is Choose.(rational or Irrational).. . Because the left side of the equation is Choose.(rational or irrational).. , this is a contradiction. Therefore, the assumption is wrong, and the number 4π is Choose(rational or Irrational)... .
The product of a rational number and an irrational number is an irrational
number.
The correctly completed proof is presented as follows;
To prove that 4·π is irrational, with the assumption that, 4·π = [tex]\displaystyle \frac{a}{b}[/tex], where b ≠ 0. Which by isolation of π gives π = [tex]\displaystyle \mathbf{ \frac{a}{4 \cdot b}}[/tex].
The right side of the equation is irrational, because the left side of the
equation is irrational, this is a contradiction.
Therefore, the assumption is wrong and the number 4·π is irrational.
Reasons:
The proof is presented as follows;
With the assumption that 4·π is rational, we have;
[tex]\displaystyle 4 \cdot \pi = \mathbf{\frac{a}{b}}[/tex]
Where;
b ≠ 0
Making π the subject of the above formula, by isolating, it, we have;
[tex]\displaystyle \pi = \mathbf{\frac{a}{4 \cdot b}}[/tex]
The right side of the equation is rational, however, the left side of the
equation π is irrational, which results in a contradiction, therefore, the
product 4·π is an irrational number.
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Answer:
irrationalirrationalirrational
Two families are going sailing. Family A leaves the marina and sails 2.3 miles due north, then sails 3 miles due west. Family B leaves the marina and sails 2.3 miles due south, then sails 3 miles in a direction 1° north of due east.
Which family is farther from the marina? Explain your reasoning.
Answer:
A
Step-by-step explanation:
We can solve this by drawing it out
Family B has part of their north-south direction negated by going 1 degree north of east, because they are going south and then going north. Family A does not do this, and as a result, with all else equal, they go further away.
Gabriella and her children went into a restaurant where they sell hotdogs for $4 each and tacos for $2 each. Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether. Also, she must buy no less than 2 hotdogs. If xx represents the number of hotdogs purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
A possible solution to the inequality is 2 hotdogs and 8 tacos.
Let x represents the number of hotdogs purchased and y represents the number of tacos purchased.
Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether.
Hence:
4x + 2y ≤ 30 (1)
x + y ≥ 9 (2)
Also:
x ≥ 2 (3)
A possible solution to the inequality is 2 hotdogs and 8 tacos.
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please help me with this also jjodlask
Answer:
1. 15, 2. -23, 3. 220, 4. 4x-5
Step-by-step explanation:
f(x) = 4x + 3 g(x) = x - 2
1. f(g(5)): Put 5 in as x in g(x) 5 - 2 = 3. Now put the 3 as x into f(x) and solve. 4(3) + 3 = 15
2. g(f(-6)) 4(-6) + 3 = -21. -21 - 2 = -23
3. (f(f(7)) 4(7) + 3 = 31, 31(7) + 3 = 220
4. g(f(x)) 4(x-2) + 3 = 4x - 8 + 3 = 4x - 5
When a function is substituted into another function it is known as a composite function.
Given the following functions:
f(x) = 4x + 3
g(x) = x - 2
Determine [tex]f(g(x)) \ and \ g(f(x))[/tex]
[tex]f(g(x)) = f(x-2)\\ f(x-2) = 4(x-2)+3\\ f(x-2)=4x-8+3\\ f(x-2) = 4x - 5\\ f(g(x)) = 4x - 4 [/tex]
1) Determine the value of [tex]f(g(5))[/tex]
[tex]f(g(5))=4(5) - 4\\ f(g(5))=20-4\\ f(g(5))=16[/tex]
2) For the function [tex]g(f(-6))[/tex]
[tex]g(f(-6))=4(-6) + 1\\ g(f(-6))=-24+1\\ g(f(-6))=-23[/tex]
3) For the value [tex]f(f(7)), [/tex]we need to determine [tex] f(f(x))[/tex]
[tex]f(f(x)) = f(4x+3)\\ f(f(x))= 4(4x+3)+3\\ f(f(x))=16x+12+3\\ f(f(x))=16x+15\\ f(f(7)) = 16(7) + 15\\ f(f(7)) = 127[/tex]
4) For the function [tex]g(f(x));[/tex]
[tex]g(f(x))=(4x+3)-2\\ g(f(x))=4x+3-2\\ g(f(x))=4x+1[/tex]
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May I please receive help?
What is 2^5+7/8?
I need help
Answer:263/8
Step-by-step explanation:
2^5=32
32= 256/8 | Convert to fraction form
256/8+7/8= 263/8 | Combine fractions
Answer:
Step-by-step explanation:
2^5=32
32= 256/8 | Convert to fraction form
256/8+7/8= 263/8 | Combine fractions
k + a/6 = 3k help b4 i cry my eyes out :’/
Answer:
Hope I explain it well!
Step-by-step explanation:
k + a/6 = 3k
well, I am not sure if we need to find the a, or the k, so lets find both!
--
First the a:
k + a/6 = 3k (subtract k)
a/6 = 2k (Multiply by 6)
a = 12k
--
Last, the k:
k + a/6 = 3k (Subtract k)
a/6 = 2k (Divide by 2)
a/12 = k
--
There you go, I hope you figure it out <3
Which ordered pair is the solution set
for 3x + 5y < 10?
Answer:
Slope is -3/5
Slope intercept form: y<-3/5x+2
Step-by-step explanation:
Your going to have a shaded region, with a dashed line
the y intercept will be (2)
the x intercept will be (3.333,0)
if 6 notebooks cost $15 how much would 1 notebook cost?
Answer:
well altogether it is 15 then it would be 3 dollars each
Step-by-step explanation:
:)
Without doing any calculations, is positive or negative?
Explain your reasoning.
Answer:
what is positive or negative???
Josh had $12.80 to spend for lunch. For lunch, he purchased two hamburgers that cost $2.75 each, cheese fries that cost $1.85, and a drink that cost $2.18. How much money did Josh have left after he purchased his lunch? *
Answer:
3.27
Step-by-step explanation:
the money he spent in total is 9.53 subtract it to 12.80
The amount of money left after he purchased his lunch is $3.27.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Josh had $12.80 to spend for lunch. For lunch, he purchased two hamburgers that cost $2.75 each, cheese fries that cost $1.85, and a drink that cost $2.18.
The amount of money left will be calculated as,
Money left = 12.80 - [(2 x 2.75 ) + 1.85 + 2.18]
Money left = 12.80 - 9.53
Money left = $3.27
Therefore, the amount of money left after he purchased his lunch is $3.27.
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A rectangle with a width of 4.6 inches has an area of 23 inches squared. What is the length?
Answer:
length = 5
Step-by-step explanation:
area = length × width
23 = length × 4.6
23 ÷ 4.6 = length
5 = length
Solve by elimination show each step will rate you 5 stars
Answer:Multiply X + Y by -6 so you can cancel 6x by -6x. Then you get 3y+24. Then divide by 3 and get Y=8 Then solve for X. Use one of the equations and solve for X. I would do X+8=16. Then minus 8 and get 8. So X=8
Step-by-step explanation:
With that being said the coordinate pair would be (8,8)
Hi. Can someone pls help
Answer:
(2, 10)
Step-by-step explanation:
If you graph the line and all 3 points, you can tell that only (2, 10) lies on the point, therefore, it would make the equation true. You can also figure it out algebraically.
[tex]10 = 7(2) - 4\\\rule{150}{0.5}\\10 = 14 - 4\\\\\boxed{10=10}[/tex]
Hope this helps.
Write inequalities for the following:
A) AJ makes at least 20 dollars
B) Lyla has no more than 70 barrettes
C) Rook takes at most 6 presents
D) River gives no less than 8 bones
Answer:
AJ. x<20
Lyla. x> or equal to70
Rook. x>or equal to 6
River. x<8
I hope that this helped
Someone please help it’s due today in like 30 min I will give brainliest
Answer:
First pic X= 13.036
Second pic x= 11.23
Step-by-step explanation:
HELP ME PLEASEEE!!
48 degrees 96 degrees x =
Answer:
144°
96+48(further away angles)
Answer:
x = 144°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle , then
x = 48° + 96° = 144°
what is 7.5% as a fraction
Answer:
15/2
Step-by-step explanation:
hope it helps (•‿•)
xsquare- 2x -4 = 0 using completing Square method
Answer:
........................
Use Pythagorean theorem to find right triangle si
Find the value of x in the triangle shown below.
C
9
3
The length of x is 3√10 units.
What is Pythagoras Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the hypotenuse c. Pythagoras, a Greek philosopher who was born around 570 BC, is remembered by the theorem's name. The theorem has likely been proved the most times of any mathematical theorem using a variety of techniques.
As per the given data:
Perpendicular = 9 units
Base = 3 units
Using Pythagoras theorem to find x (hypotenuse):
[tex]x^2 = 9^2 + 3^2\\x^2 = 81 + 9\\x^2 = 90\\x = \sqrt{90}\\x = \sqrt{9\times10}\\x = 3\sqrt{10}[/tex]units
Hence, the length of x is 3√10 units.
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find the angle measure of b
A 100-kg rock is on a 20-m cliff. If the rock is pushed off the cliff, how much kinetic energy does the rock have before hitting the ground?
Answer:
Step-by-step explanation:
19620 J.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
$8.00
Step-by-step explanation:
20% of 44.85=8.97
thats the closest to 8.00
Answer:
the answer is 9 dollars cuz the real answer is $8.97 and round to the nearest whole the answer is 9
Step-by-step explanation:
so easy read whats on the image
The answer is: J - 3.08 pounds
Option I ) 3.08 pounds
The reason being that it can't round up with the 2 so we just have that number to the hundredth
3480 divided by 29 what is the answer that its asked
Answer:
120
Step-by-step explanation:
To be honest I just looked it up.
Help, please!
fdlksjflksdjklfjalk
Answer:
m/_a = 8 , m/_b= 3, m/_c = 4
Solve for a
1/12 a +21 = 25
Hope This Helped!
Step-by-step explanation:
First off we need to take the whole equation and multiply it so that we can get rid of the fractioned exponent. The number we would use is 12, giving us the new equation: a + 252 = 300. We then can subtract 252 from both sides of the equation, to get the exponent by itself and intentionally create an answer. This would be: a + 252 = 300,-252=48 or a = 48
We are left with A being equal to 48.
[tex]\dfrac 1{12} \cdot a +21 = 25\\\\\\\implies \dfrac a{12} = 25-21\\\\\\\implies \dfrac a{12} =4 \\\\\\\implies a = (12)(4) = 48[/tex]
I need help with this
Answers:
Square = 8Triangle = 3Circle = 2Hope you could get an idea from here.
Doubt clarification - use comment section.
The amount of green jelly beans in a bag is 25%. If there are 12 green jelly beans, how many total
jelly beans are in the bag?
Answer:
48
Step-by-step explanation:
25% is 1/4 of the bag. 12x4 = 48.
There are 48 jelly beans in the bag.
Hope that helps
Answer:
The answer is 48.
Step-by-step explanation:
25%= times by 4.
So.. 12 times 4 = 48.
Hope that helps. x
Need help Please due soon help I beg
Answer:
the variables mean (1)
Step-by-step explanation:
you need to divide
Answer:
equals y<5?
Step-by-step explanation:
i dont think this will help but i hope it does help