Answer:
5.3
Step-by-step explanation:
A rational number is a number that can be written as the quotient of two integers.
5.2 and 5.5 are both rational since they can be written as quotients of integers as shown below.
5.2 = 52/10
5.5 = 55/10
5.3 is a number between 5.2 and 5.5, and since 5.3 can be written as 53/10, it is rational.
Answer: 5.3
Answer:
Step-by-step explanation:
rational numbers can be written in form a/b where b≠0
5.2 and 5.5
52/10 and 55/10
so some rational numbers could be
53/10, 54/10
irrational numbers most likely the square root numbers
square them
5.2^2=27.04
5.5^2=30.25
5.2<?<5.5
square everybody
27.04<?²<30.25
so pick a number between 27.04 and 30.25
29 or 30 are 2 numbers
I'll pick 29
?²= 29
square root
?=√29
the irrational number can be √29
it is 5.39 to the hundredth
The test scores of students in a math class are 46, 40, 50, 43, 35, 41, 50, 42, 38, and 48. What is the mean of this set of data? A. 35.6 B. 40 C. 43.3 D. 50
Answer:
C. 43.3
Step-by-step explanation:
The mean or average of a data set can be found by adding up all the values and dividing by the number of values.
1. Add up all the values
The values: 46, 40, 50, 43, 35, 41, 50, 42, 38, 48
Add them together: 46 +40+50+ 43+35+41+50+ 42+38+48
433
2. Divide by the number of values
Count how many numbers are in the set of data.
Data Set: 46, 40, 50, 43, 35, 41, 50, 42, 38, 48
10 values
Divide 433 by 10
433/10
43.3
The mean of the set of data is 43.3 and the correct answer is C.
Answer:
43.3
Step-by-step explanation:
I added up all the numbers and divided by the number of numbers.
A container in form of a frustum of a cone is 16 cm in diameter at the open end and 24 cm diameter at the bottom. If the vertical depth of the container is 8 cm calculate the capacity of the container.
Answer:
The capacity of the container is 2546.78 cm³.
Step-by-step explanation:
The volume of the frustum of a cone is:
[tex]\text{Volume}=\frac{\pi h}{3}\cdot[R^{2}+Rr+r^{2}][/tex]
The information provided is:
r = 16/2 = 8 cm
R = 24/2 = 12 cm
h = 8 cm
Compute the capacity of the container as follows:
[tex]\text{Volume}=\frac{\pi h}{3}\cdot[R^{2}+Rr+r^{2}][/tex]
[tex]=\frac{\pi\cdot8}{3}\cdot[(12)^{2}+(12\cdot 8)+(8)^{2}]\\\\=\frac{8\pi}{3}\times [144+96+64]\\\\=\frac{8\pi}{3}\times304\\\\=2546.784445\\\\\approx 2546.78[/tex]
Thus, the capacity of the container is 2546.78 cm³.
what is the equation in slope intercept form 3 y - 9= 12x please help fast
Answer:
Step-by-step explanation:
Slope intercept form is y = mx + b where m is the slope and b is the y intercept SO
y = mx + b
3y - 9 = 12x
3y = 12x + 9 (divide by common denominator 3)
y = 4x + 3
Craig has five weeks to read an 850-page book.
How many pages must Craig read each week to
complete the book before the deadline?
Answer:
170 pages.
Step-by-step explanation:
Craig has to read 850 pages in 5 weeks. If we set up a proportion, we have...
[tex]\frac{850 pages}{5 weeks} =\frac{x pages}{1 week}[/tex]
5x = 850
x = 850 / 5
x = 170 pages.
Hope this helps!
The number of pages Craig must read each week to
complete the book before the deadline is 170 pages.
We have,
Craig has five weeks to read an 850-page book.
We need to find the number of pages Craig must read each week to finish the book before the deadline.
We have,
Craig has five weeks to read an 850-page book.
We can write it as:
5 weeks = 850 pages
We have to find the number of pages in a week.
5 weeks = 850 pages
Dividing both sides by 5.
We get,
5 / 5 weeks = 850 / 5 pages.
1 week = 170 pages.
Thus the number of pages Craig must read each week to
complete the book before the deadline is 170 pages.
Learn more about division here:
https://brainly.com/question/15381501
#SPJ5
Desmond is 2 inches taller than Niki. If we let w represent Nikis height in inches, write an algebraic expression for Desmonds height. Enter your answer as an expression. Example: 3x^2+1
Answer:
w + 2
Step-by-step explanation:
Niki's height = w in
Desmond height = w + 2
Answer:
w+2
Step-by-step explanation:
Since Desmonds is 2 inches taller than Niki, w+2 would make the most sense.
Find the length of the third side. If necessary, round to the nearest tenth.
15
12
Answer:
Submit Answer
attempt 1 out of 2
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PLS HELP ASAP
Answer:
The length of the third side is 9.
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
12² + b² = 15²
144 + b² = 225
√b² = √81
b = 9
Evaluate the expression for c = 11.
-1 - C=
Answer:
c=-12
Step-by-step explanation:
place 11 in for C > -1-11=
subtract 11 from -1. -12
Please help me!!! It is urgent. I added 2 more points to this, so please help!
Find x.
A. 11√42/2
B. 22√7
C. 11√42
D. 22v42/3
what is the value of x ?
Answer:
35
Step-by-step explanation:
it's the same value each side
write 1042000 000 m+ in scientific notification
Answer:
1.042 × 109
Step-by-step explanation:
you have to move the decimal from the zero.
Lines T U and R S intersect lines M N and P Q. Where line T U intersects with lines M N and P Q, right angles are formed. Lines M N and P Q are straight lines that are next to each other and they will never intersect. Lines T U and R S are next to each other and could intersect. Which two statements are both true?
c. Tu | MN and MN || PQ I am done with the interview
If y=29,find x
y=(x+2)(x-2)
Please show working
Answer:
x=±sqrt (33)
Step-by-step explanation:
y=(x+2)(x-2)
29=x^2-4. x^2=33, x=±sqrt (33)
Answer:
[tex]\sqrt{33}[/tex]
Step-by-step explanation:
y = (x+2) (x-2)
y = [tex]x^{2}[/tex] +2x -2x-4
y = [tex]x^{2}[/tex] - 4
29 = [tex]x^{2}[/tex] - 4
29 + 4 = [tex]x^{2}[/tex] -4 + 4
33 = [tex]x^{2}[/tex]
[tex]\sqrt{33}[/tex] = x
Hope this is clear and you can understand it. :)
What is the scale factor?
Answer: B
Step-by-step explanation:
You can see that the length of the sides from abc are factored by 1/3 to get the length of xyz. Therefore, the scale factor is 1/3.
15. In a class of 40 students, 15 passed in Mathematics and Science both and 20 passed in only one subject. How many students failed in both the subjects? (A) 5 (B) 25 (C) 20 (D) 45
What is Mary's net worth if her assets total $16000, her gross income is $45000, her student loan debt is $22000 (she has no other debts), and her annual expenses (including taxes) total $40000?
Answer:
$ 143000
Step-by-step explanation:
her net worth is her assets and income minus her debts and expenses
160000 + 45000 - 22000 - 40000 = 143000
Ayuda es para mañana El estudiante 1 y el estudiante 2 están a 53 metros, uno del otro. El estudiante 1, desde su posición, ve una caja fuerte, e inmediatamente mide el ángulo que el mismo forma con el estudiante 2, resultando de 37°. El estudiante 2, al advertirlo , mide enseguida el ángulo que forma la caja fuerte con el estudiante 1, resultando de 43°. ¿cual de los dos se halla más cerca de la caja fuerte?
A. El estudiante 2, ya que está aproximadamente a 32,29 metros.
B. El estudiante 1, ya que está aproximadamente a 32,29 metros.
C. El estudiante 2, ya que está aproximadamente a 37,28 metros.
D. El estudiante 1, ya que está aproximadamente a 37,28 metros.
Answer:
La opción correcta es;
Estudiante 2, ya que está aproximadamente a 32,39 metros de distancia
Step-by-step explanation:
Los parámetros dados son;
La distancia entre los dos estudiantes = 53 metros
El ángulo medido entre la línea del Estudiante 1 a la caja fuerte y el Estudiante 1 y el Estudiante 2 = 37 °
El ángulo medido entre la línea del Estudiante 2 a la caja fuerte y el Estudiante 2 y el Estudiante 1 = 43 °
Dado que los dos estudiantes y la caja fuerte forman los vértices de un triángulo, tenemos;
Sea θ el ángulo del triángulo opuesto a la distancia entre los dos estudiantes
Por lo tanto;
θ + 43 ° + 37 ° = 180 ° (teorema de suma de ángulos)
θ = 180 ° - (43 ° + 37 °) = 100 °
Por regla del seno, tenemos;
a / (sin (A) = b / sin (B)
Por lo tanto;
53 / (sin (100 °)) = b / (sin (37 °)) = c / (sin (43 °))
Lo que da;
b = (sin (37 °)) × 53 / (sin (100 °)) = 32,39 metros
c = (sin (43 grados)) × 53 / (sin (100 grados)) = 36,7 metros
Por lo tanto, el Estudiante 2 está más cerca, ya que está aproximadamente a 32,39 metros de distancia.
What is the radius of a hemisphere with a volume of 885 in^3, to the nearest tenth of
an inch?
Answer:
The desired radius is r = 7.5 inches
Step-by-step explanation:
The formula for the volume of a sphere of radius r is V = (4/3)πr³. A hemisphere is half a full sphere, so the formula for the volume of a hemisphere of radius r is (4/3)(1/2)πr³, or (2/3)πr³.
We know that the volume of the hemisphere is 885 in³:
885 in³ = (2/3)πr³ and need to solve this first for r³ and then for r.
This is equivalent to:
885 in³ = (2π/3)r³.
We can now isolate r³ by multiplying both sides of this equation by (3 / [2π]):
(3 / [2π])(885 in³) = (3 / [2π])(2π/3)r³ = r³
Then r³ = 422.556 in³
Finally, we find the desired hemisphere radius by taking the cube root of both sides of the above equation:
r = ∛(422.556 in³) = 7.5 in (which is to the nearest tenth of an inch)
The desired radius is r = 7.5 inches
A furniture store is having a sale on sofas and you're going to buy one. The advertisers know that buyers get to the store and that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement. Let X be the cost of the sofa. What is the average cost of a sofa if the advertised sofa is $250 and the more expensive sofa is $450
Answer:
$290
Step-by-step explanation:
We are told that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement.
Now we are told that the advertised sofa is $250 and the more expensive sofa is $450.
Thus;
P(x) for expensive sofa = 1/5
P(x) for sofa in sale advertisement = 4/5
Thus, expected value is;
E(X) = (1/5)450 + (4/5)250
E(x) = 90 + 200
E(x) = $290
Answer:
The average cost of a sofa = [tex]\$290[/tex]Step-by-step explanation:
Cost of advertised sofa = [tex]\$250[/tex]
Cost of more expensive sofa = [tex]\$450[/tex]
So, the average cost of sofa,
[tex]E(x) = (450*\frac{1}{5})+ (250*\frac{4}{5})\\\\E(x) = 90 + 200\\\\E(x) = 290[/tex]
Hence,
The average cost of a sofa = [tex]\$290[/tex]
For more information, visit
https://www.bartleby.com/questions-and-answers/question-13-a-furniture-store-is-having-a-sale-on-sofas-and-youre-going-to-buy-one.-the-advertisers-/61410cf1-5b19-4491-9893-42336374e48e
Please help I was asigned this for how and I am stuck
Answer:
-0.555
Step-by-step explanation:
-2/3÷12
=-2/3÷12×3/1×3
=-2/3÷36/3
=-2/3×3/36
=-2/36
=-0.0555
I got this answer but don't know how did you got -8?!
the question is "13, 17, 21, 23, 29 one of the numbers is different from the rest, which one and why?"
step by step explanation
Answer:
21
Step-by-step explanation:
it is not a prime number, according to prime number only the number and 1 can it be divided but here 21 can be divided by 1,3,7 and 21 itself. Therefore others are prime number except 21
hope you you are succes in this question ❓❓
Answer:
Yes bro I can sove this question
Step-by-step explanation:
Please mark me brainliest thanks
Arc length practice
Answer:
[tex]\large\boxed{s = 4\pi}[/tex]
Step-by-step explanation:
The arc length is determined by the formula [tex]s=r\theta[/tex], where s is the arc length, r is the radius, and [tex]\theta[/tex] is the value of the central angle (in radian formatting).
By substituting the values for the radius and the central angle, you can solve for the arc length.
[tex]\text{The radius is half of the diameter -} \: \boxed{\frac{4}{2}=2}[/tex].
The central angle is converted to radian form by multiplying the angle in degrees by the fraction of π/180 - 360° * π/180 = 360π/180 = 2π.
Now, substitute the values and solve for s.
s = (2)(2π)
[tex]\large\boxed{s = 4\pi}[/tex]
Is this a function or no ?
What is the midpoint of the segment shown below (1, 2) and (1, -5)
Answer: 1, -3/2
Step-by-step explanation:
convert 123 into quinary number .
To convert decimal number 123 to quinary, follow these steps:
1. Divide 123 by 5 keeping notice of the quotient and the remainder.
2.Continue dividing the quotient by 5 until you get a quotient of zero.
3. Then just write out the remainders in the reverse order to get quinary equivalent of decimal number 123.
A circular hall has a hemispherical roof.
The greatest height is equal to the
inner diameter. If the capacity of
the hals is
the
floor is.
43510 m^3
then
area
of the
Answer:
Area=1,288.88m²
Step-by-step explanation:
A circular hall(big room) has a hemispherical roof.The greatest height is equal to the inner diameter.Find the area of the floor,given that the capacity of the hall is 43510 cubic meter
Solution
let
diameter = D
radius,r = D/2
Greatest height = D
height of cylindrical part (h)= D-r = r
radius of cylindrical part = r
area of floor = πr²
volume = volume of cylindrical part + volume of hemispherical part
= πr²h + 2/3 πr³
Recall h=r
volume = πr³ + 2/3 πr³
43510=5/3πr³
Make r the subject
r=3√(43510*3)/5π
=3√(130,530/15.7
=3√8,314.01
=20.26
Area of floor = πr²
=3.14*(20.26)²
=3.14*410.47
=1,288.88m²
find the volume of a cylinder if the radius is 8cm and the height is 15cm?
Answer:
3015.92894745 cm^3
Step-by-step explanation:
Formula for volume of cylinder(v)= πr^2h
Here,
r=8 cm
h=15cm
Now,
V=πr^2h=π8^2*15=π64*15=960π=3015.92894745 cm^3
[tex]2\pir = 1828 + 49 = [/tex]Hey Shona playing how much town
help me pleaseeee <333 .
Answer:
3 one
Step-by-step explanation:
Answer:
3 option is correct
Step-by-step explanation:
gd afternoon
have a lovely day
Find the equation of a line given the point and slope below. Arrange your answer in the form y = mx + b, where b is the constant. (1, 3) m = 2
Answer:
y= 2x+1
hope it helps...........
When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x – y=6?
A (-2,2)
B. (2.-2)
C. (-2,-2)
D. (2, 2)
Answer:
answer B: (2,-2)
Step-by-step explanation:
First, write the equations on top of each other:
[tex]3x+2y=2\\2x-y=6[/tex]
Then, multiply the the second equation by 2 so that we can use elimination of the y-variable:
[tex]3x+2y=2\\2(2x-y)=2(6)\\\\3x+2y=2\\4x-2y=12[/tex]
Next, use elimination to find the value of "x":
[tex]3x+2y=2\\+(4x-2y=12)\\\\7x+0=14\\7x=14\\\frac{7x}{7}=\frac{14}{7}\\x=2[/tex]
So, your x-value is 2.
Now, substitute your x-value into one of your equations, let's take the second equation, 2x-y=6:
[tex]2x-y=6\\2(2)-y=6\\4-y=6\\4-4-y=6-4\\-y=2\\\frac{-y}{1}=\frac{2}{-1}\\y=-2[/tex]
Your y-value is -2.
With all your information gathered, you find that the solution to this system of equation is (2,-2).