Answer:
D. square root of 2
Step-by-step explanation:
The square root of 2 is an irrational number because it cannot be written as a ratio of two integers.
Final answer:
Choice D, square root 2, is an example of an irrational number. Unlike the other options, it cannot be expressed as a fraction with an integer numerator and denominator.
Explanation:
An irrational number is a number that cannot be expressed as a simple fraction, meaning its decimal form is non-terminating and non-repeating. Among the options given, choice D, which is square root 2 (written as √2), is an example of an irrational number. Option A is 74/99, a fraction that simplifies to a rational number; option C is 3/4, also a rational number; and the option B is missing from the context provided.
To determine between which two consecutive integers an irrational number like √2 lies, we first identify the perfect squares nearest to the number we are taking the square root of. For √2, the perfect squares are 1 (√1) and 4 (√4), which correspond to the integers 1 and 2. √2 lies between these two integers because 2 is greater than 1 and less than 4, and since the square root function is increasing, √2 is more than 1 and less than 2.
Can someone help me with this please?
Answer:
27.6°
Step-by-step explanation:
Drop a Perpendicular from C to AD, call the foot X
CXD is a right angle triangle
CX = 6 cm
XD = 23 - 9 - [sqrt(6.5² - 6²)]
XD = 11.5
Tan(Angle CDA) = CX/XD = 6/11.5
Angle CDA = 27.55281158
Circle o has a circumference of 42 pi
What is the length of the radius, r?
a. √21 cm
b. √42 cm
c. 21 cm
d. 42 cm
PLEASE HURRY!! I HAVE LIMITED TIME!! :)
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The length of the radius, r, is 21 cm. The correct answer is **c. 21 cm**.
Here's why:
- The circumference of a circle is calculated by the formula C = 2πr, where C is the circumference and r is the radius.
- We are given that the circumference of circle O is 42π.
Substituting the given value into the formula:
42π = 2πr
Dividing both sides by 2π:
r = 42π / 2π
Simplifying:
r = 21
Therefore, the length of the radius, r, is 21 cm.
Options a, b, and d are incorrect because they either involve taking the square root of the circumference directly (invalid formula for radius) or miscalculating the result of the division.
Scientific notation is the product of a coefficient that is greater than or equal to one but less than 10, and a power of 10.
Answer:
Sample Response: Scientific notation is used to represent very large and very small numbers. Scientific notation is the product of a coefficient that is greater than or equal to one but less than 10, and a power of 10.
im sorry that other person answered, well wierd but thats what im here for.
:)
3. The equation x^2 + n = 0 ________
has at least one real number solution when n > 0
a) always
b) sometimes
c) never
in general:
if delta>0 the equation has 2 solutions
if delta=0 the equation has 1 solution
if delta<0 the equation doesn't have real solutions
here :
delta=-4n
if n>0=> delta<0 => c) never
16 3/7 −4 3/4
subtract this fraction correctly and i will mark you brainliest
Answer:
327/28 or 11 19/28
Step-by-step explanation:
Get common denominator, convert into improper fraction and subtract.
The solution of expression [tex]16\dfrac{3}{7} - 4\dfrac{3}{4}[/tex] after subtraction would be, [tex]11\dfrac{19}{28}[/tex]
Given that,
The fractions to subtract,
[tex]16\dfrac{3}{7} - 4\dfrac{3}{4}[/tex]
Used the subtraction method to find the subtraction of expression.
Here, The fractions to subtract,
[tex]16\dfrac{3}{7} - 4\dfrac{3}{4}[/tex]
Change the mixed fraction into an improper fraction,
[tex]\dfrac{115}{7} - \dfrac{19}{4}[/tex]
Take LCMof 7 and 4 = 28
Now, make the denominator the same by taking LCM,
[tex]\dfrac{460}{28} - \dfrac{133}{28}[/tex]
[tex]\dfrac{460- 133}{28}[/tex]
[tex]\dfrac{327}{28}[/tex]
So, the solution of fraction after subtraction,
[tex]11\dfrac{19}{28}[/tex]
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Which statement is an important part of the proof of the converse of the Pythagorean
theorem?
A. It must be assumed that the Pythagorean theorem is true.
B. It must be assumed that the sum of the lengths of any two sides of a triangle are less than the length of the third one.
C. It must be assumed that the Pythagorean theorem is false.
D. It must be assumed that the sum of the lengths of any two sides of a triangle are greater than the eleventh of the third side.
To prove the converse of the Pythagorean theorem, it must be assumed that the Pythagorean theorem is true. This assumption is fundamental to the proof. Option A is correct answer.
The proof of the converse of the Pythagorean theorem.
To prove the converse of the Pythagorean theorem, it is important to start by assuming that the Pythagorean theorem itself holds true.
Therefore, option A is the correct answer: It must be assumed that the Pythagorean theorem is true.
This fundamental assumption is crucial since the converse states that if the sum of the squares of two sides of a triangle is equal to the square of the third side, then the triangle is a right triangle.
This is a direct implication assuming the Pythagorean theorem's validity.
An essential part of a mathematical proof, especially in geometry, involves using established theorems and logical deductions.
It's also worth mentioning Euclid's proposition that states, "Any two sides of a triangle are together greater than the third side." While this proposition is relevant to the properties of triangles, it is not a component of the proof for the converse of the Pythagorean theorem.
Ben and Roberto each own stores that sell video games. A) Ben’s Game World is having a sale on video games. The store is offering a sale pack of 4 video games for $43.80. What is the unit price of a video game in the sale pack? What would 7 games cost at Ben's Game World? B) Roberto’s Electronics is also having a sale on video games. The unit price of any video game at Roberto’s Electronics is 3/5 of the unit price of a video game in the sale pack at Ben’s Game World. How much would it cost a customer for 7 video games at Roberto’s Electronics?
Ben- unit price is 10.95
7 games= 76.65
Roberto- unit price is 6.57
7 games= 45.99
The unit price of a video game at Ben's Game World is $10.95, and 7 games would cost $76.65. Video games at Roberto's Electronics would cost $6.57 per game after applying the discount, with 7 games totaling $45.99.
Explanation:The student has asked for help with finding the unit price of video games in a sale at Ben's Game World and comparing this to the cost of video games at Roberto's Electronics. We are given that Ben is selling a pack of 4 video games for $43.80. To find the unit price, we divide the total cost by the number of games.
Calculate the unit price of a video game at Ben's Game World by dividing the total pack price by the number of games in the pack: $43.80 / 4 games = $10.95 per game.To find the cost for 7 games at Ben's game store, multiply the unit price by 7: $10.95 * 7 games = $76.65.Roberto's Electronics sells video games at 3/5 the price of Ben's unit price. First, calculate this discounted unit price: $10.95 * (3/5) = $6.57.To find the cost for 7 games at Roberto's store, multiply this discounted unit price by 7: $6.57 * 7 games = $45.99.Can someone help me with this it's making no sense to me
Answer:
The most reasonable is 2 h
Step-by-step explanation:
If you see the graph is decreasing in hours while is increasing in years. When a person is 45 years the amount of daily physical activity is 3 hours, so a person that is 50 years needs to do less than 3 hours a day and the only option less than 3 hours is 2 hours.
f(x)=x^2+2 find f(4x)
Look at the attached picture⤴
Look at the attached picture⤴Hope it will help u....:)
Help me find the answer
Answer:
y = - [tex]\frac{1}{4}[/tex] x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (4, - 4) ← 2 points on the line
m = [tex]\frac{-4+3}{4-0}[/tex] = - [tex]\frac{1}{4}[/tex]
Note the line crosses the y- axis at (0, - 3) ⇒ c = - 3
y = - [tex]\frac{1}{4}[/tex] x - 3 ← equation of line
A cereal box is 6 1/2 inches long ,3 1/2 inches wide , and 12 inches high .What is the volume of the box?
Answer:
273
Step-by-step explanation:
base (l times w) times height
Answer:
273 inch³
Step-by-step explanation:
v = l*h*w
v= 6 1/2 * 3 1/2 * 12
v= 13/2 * 7/2 * 12
v= 273
Veronica surveyed her classmates about which types of pets they own. The graph shows her data.
A circle graph titled Pets. 32 percent is dogs, 26 percent is cats, question mark is fish, 13 percent is lizards, 18 percent is no pet.
Something is missing. Veronica found the percentages of her classmates who have dogs, cats, and lizards, but she has not calculated the percentage who have fish.
What percent of her classmates own fish?
Answer:
The answer is 11%
Step-by-step explanation:
Something is missing. Veronica found the percentages of her classmates who have dogs, cats, and lizards, but she has not calculated the percentage who have fish. Veronica surveyed her classmates about which types of pets they own. The graph shows her data. so that make it 11% Make me brain-list Please
Answer:it is 11%
Step-by-step explanation: just t r u s t me
and it makes sense
Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a radius of 6 feet and a height of 15 feet. Container B has a
radius of 5 feet and a height of 18 feet. Container A is full of water and the water is
pumped into Container B until Conainter B is completely full.
After the pumping is complete, what is the volume of the empty space inside
Container A, to the nearest tenth of a cubic foot?
Answer:
1413.7 ft^3
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr^2·h
After emptying part of container A into container B, the empty space in container A will be exactly the volume of container B:
V = π(5 ft)^2·(18 ft) ≈ 1413.7 ft^3
HELP HEL HELP HELP HELP HELP HELP HELP PLEASE
Answer:
(2,4) and (5,1) --> negative slope
(6,-3) and (-6, -3) --> zero slope
(3,5) and (-1,2) --> positive slope
(-7,8) and (-7,0) --> undefined slope
Step-by-step explanation:
To find the slope of a function, we use the formula:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{rise}{run}[/tex] (rise/run)
1. [tex]m=\frac{1-4}{5-2} =-1[/tex] (negative slope)
2. [tex]m = \frac{-3--3}{-4-6} =0[/tex] (zero slope)
3. [tex]m = \frac{2-5}{-1-3} =\frac{3}{4} =0.75[/tex] (positive slope)
4. [tex]m=\frac{-7-8}{-7--7} =\frac{-15}{0} = ?[/tex] (undefined slope)
If r = 45 cm and q = 53 cm, what is the length of p?
A. 28 cm
B. 26 cm
C. 70 cm
D. 32 cm
The right answer is 28 cm
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I need help like now
Please and thank you
Answer:
$340.54 flooring
$116.21 paint
$107.73 trim
=$564.48
Step-by-step explanation:
the living room is 2418ft^3
area is 201.5ft^2
perimeter is 57ft
Minimum of the data is ?, The first quartile is ?,
The median of the data is ?,
Third quartile is ?,
The Maximum of the data is ?
Answer:
Step-by-step explanation:
min= 40
q1=43
med=61
Q3=65
max=97
you just need to put data into the table and do 1-var stats for this problem
The minimum data value is: 40
The first quartile is: 43
The median data value is: 61
The third quartile is: 65
The maximum data value is: 97
The data is presented in a stem and leaf plot.
What is stem and leaf plot?A stem and leaf plot is a defined as table where values of data are split into a stem and leaf. The first digit or digits will be written in stem and the last digit will be written in leaf
According to the 1st row: 4 | 0 1 3
The weights are: 40, 41, 43
According to the 2nd row: 5 | 0 8
The weights are: 50, 58
According to the 3rd row: 6 | 1 2 3 5
The weights are: 61, 62, 63, 65
According to the 4th row: 7 | 8
The weight is: 78
According to the 6th row: 9 | 7
The weight is: 97
So, all the data for the weights are:
40, 41, 43, 50, 58, 61, 62, 63, 65, 78, 97
We can now determine the five-number summary as follows:
The minimum data value is: 40
(40), 41, 43, 50, 58, 61, 62, 63, 65, 78, 97
The first quartile is: 43
40, 41, (43), 50, 58, 61, 62, 63, 65, 78, 97
The median data value is: 61
40, 41, 43, 50, 58, (61), 62, 63, 65, 78, 97
The third quartile is: 65
40, 41, 43, 50, 58, 61, 62, 63, (65), 78, 97
The maximum data value is: 97
40, 41, 43, 50, 58, 61, 62, 63, 65, 78, (97)
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evaluate (tan 60)(cos 45)
Answer: the tan. Of 60 is .3200
The cos. Of 45 is .5253
Hope this helps :)
Step-by-step explanation:
Answer:
[tex] \sqrt{ \frac{3}{2} } [/tex]
Step-by-step explanation:
[tex] \tan(60) \cos(45) = \sqrt{3} \times \frac{1}{ \sqrt{2} } [/tex]
[tex] = \sqrt{ \frac{3}{2} } \: [/tex]
Which statement is true about the relative areas of triangle ABC and triangle XYZ is true
Answer:
The answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
When you square six times a number, you get two more than the number.
Answer:the answer is 6
Step-by-step explanation:
Derek sent a chain letter to his friends, asking them to forward the letter to more friends. The group of people who receive the email gains 9/10 of its size every week and can be modeled by a function, P, which depends on the amount of time, t (in weeks).
Derek initially sent the chain letter to 40 friends.
Write a function that models the group of people who receive the email t weeks since Derek initially sent the chain letter
Answer:
Step-by-step explanation:
P(t)= 40*1.9^t/3
A function that models the group of people who receive the email t weeks since Derek initially sent the chain letter is p(t) =[tex]40 + 12t[/tex] (in t weeks).
What is a function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The number of people who received letters three weeks later:
= [tex]40 + \frac{9}{10} \times40[/tex]
= [tex]76[/tex]
The number of people who received letters one week later:
= [tex]40+(\frac{9}{10} \div3)\times40[/tex]
= [tex]52[/tex]
The number of people who received letters t week later:
= [tex]40+(\frac{9}{10} \div3).t\times40[/tex]
= [tex]40 + 12t[/tex]
So, a function that models the group of people who receive the email t weeks since Derek initially sent the chain letter is p(t) = [tex]40 + 12t[/tex] (in t weeks).
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A baby weighs 132 ounces when born.The baby gained 60 ounces. How many pounds is the baby now?
pLeAsE I NeEd HeLp
12 pounds
Step-by-step explanation:
New Weigh = 132 + 60 =192 ounces
(New Weigh = Old Weigh + Weigh gained)
Since 1 pound = 16 ounces
New Weigh = 192 ÷ 16 = 12 pounds
therefore New
Answer: 12 pounds!
Step-by-step explanation:
I hope it helps!
Good luck!
Help ASAP please and explain if you can
Answer:
The first one is a right triangle. The second one is C. (13,9)
Step-by-step explanation:
For each ordered pair, go over first, then up. For the first question, if all points are plotted, it makes a right triangle.
With the second question, the point must be the same distance from Q as P is already. That's 3 lines over and 7 lines up and down. It could stay at (__,9), so 3 spaces over is (13,9).
240: 180 in simpilest form ;D
A recipe for bread calls for 4 1/4 cups of flour. Which expression gives the number of cups of flour needed if you want to make 3 1/2 batches of this recipe?
Answer:
3 1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
4 1/4. 3.5
1.1
Pls help!!!!!!!!!!!!!!!!
Answer:
23 degrees
Step-by-step explanation:
62+95=157
180-157=23
Answer: The answer is 23 degrees. (Friend me and vote me brainliest)
Step-by-step explanation: A triangle is always equal to 180 degrees. So when they gave you both sides of the triangle, you add them up and subtract your sum from 180.
20 POINTS! WILL MARK BRAINIEST FOR FIRST CORRECT ANSWER!
The figures in (a) and (b) below are made up of semicircles and quarter circles; The figure in (c) shows a quarter of a circle in a square. Find the area and the perimeter of each figure in terms of π.
Answer:
https://brainly.com/question/8182874
Step-by-step explanation:
Answer:
Area: 5π/2 in²
Perimeter: (3π+2) in
step-by-step explanation:
Area =
larger semicircle + small semicircle
= ½(pi × r1²) + ½(pi × r2²)
r1 = 2 in
r2 = 2/2 = 1 in
Area:
½(pi × 2²) + ½(pi × 1²)
= 2pi + ½pi
= 5pi/2 in²
Perimeter:
½(2pi × r1) + ½(2pi × r2) + r1
½(2pi × 2) + ½(2pi × 1) + 2
2pi + pi + 2
3pi + 2
The circumference of a circle is 3.14 inches. Find the radius of the circle in inches. Round to the nearest whole number. Justify your answer. Please help me all my stuff is due Friday!
Answer:
0.5
Step-by-step explanation:
The formula for circumference is:
pi * d
3.14 = 3.14*d
1 = d
Since the radius is 1/2 of diameter, r = 0.5
Find the values of variables in DEFG
Please help show me how to solve this
Answer:
dav d
Step-by-step explanation:
Which frequency table represents the set of data below related to how each student in a class travels to school in the morning
Answer:
see below (first table shown)
Step-by-step explanation:
All of the frequency tables have the same numbers in the first and last categories, so choosing the correct table can be done by counting instances in any of the middle three categories.
We note there are 5 who biked to school, so the first table is indicated as being correct.
_____
If you complete a frequency table, you find that it matches the first table shown.