Answer:
r = 3 in
Step-by-step explanation:
The volume (V) of a sphere is calculate as
V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )
Here V = 36π , then
[tex]\frac{4}{3}[/tex]πr³ = 36π ( multiply both sides by 3 to clear the fraction )
4πr³ = 108π ( divide both sides by 4π )
r³ = [tex]\frac{108\pi }{4\pi }[/tex] = 27 ( take the cube root of both sides )
r = [tex]\sqrt[3]{27}[/tex] = 3
If 24 - 2x = 19 + 3x, then x =
Answer:
1 =x
Step-by-step explanation:
24 - 2x = 19 + 3x
Add 2x to each side
24 - 2x+2x = 19 + 3x+2x
24 = 19 +5x
Subtract 19 from each side
24-19 =19+5x-19
5 = 5x
Divide by 5
5/5 = 5x/5
1 =x
Help me with my algebra 2 please (:
Answer:
The first one
Step-by-step explanation:
Make 3x+6 into 3(x+2)
Separate x²+5x+6 into (x+2)(x+3)
Cross out both x+3
6x÷3
Put x+2 together to make (x+2)²
[tex]\frac{2x}{(x+2)^2}[/tex]
Which expression is equivalent to this expression?
Answer:
a-4b
Step-by-step explanation:
you combine like terms, (-6b)+2b=-4
4a-3a=1a or just a
then you get your awsner a-4
find the volume of the cylinder. SHOW ALL WORK
The volume of the cylinder with a height of 12 inches and a diameter of 10 inches is approximately 942.4788 cubic inches.
To find the volume of a cylinder, you can use the formula:
Volume = π * r^2 * h
Where π (pi) is approximately 3.14159, r is the radius of the cylinder, and h is the height of the cylinder.
In this case, the height of the cylinder is given as 12 inches, and the diameter is given as 10 inches. To find the radius, we divide the diameter by 2:
Radius = Diameter / 2 = 10 inches / 2 = 5 inches
Now we can substitute the values into the formula to calculate the volume:
Volume = π * (5 inches)^2 * 12 inches
Using the value of π as approximately 3.14159, we get:
Volume ≈ 3.14159 * (5 inches)^2 * 12 inches
Volume ≈ 3.14159 * 25 square inches * 12 inches
Volume ≈ 942.4788 cubic inches
Therefore, the volume of the cylinder with a height of 12 inches and a diameter of 10 inches is approximately 942.4788 cubic inches.
Learn more about volume here:
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which equation represents a line that is parallel to the line whose equation is y=3/2x-3 and passes through the point (1, 2)?
Answer:
1) y = 3/2 x +½
Step-by-step explanation:
y-2 = 3/2(x-1)
y = 3/2x -3/2 +2
y = 3/2x +½
What are the solutions of x2 - 2x +17 - 0?
O A. x = 1+2, or x = 1 - 2
O B. X = 1+4, or x = 1- 47
O c. x = 2, or x = -2
O D. x = 4; or x = -4/
Answer:
option B
Step-by-step explanation:
[tex]x^2 - 2x + 17 = 0 \ , \ [ \ where \ a = 1 , \ b = - 2 \ c = 17 \ ][/tex]
[tex]x = \frac{- b \ \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{2 \ \pm \sqrt{2^2 - (4 \times 1 \times 17)}}{ 2 \times 1}\\\\x = \frac{2 \ \pm \sqrt{4 - 68}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{-64}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{8^2 \times -1}}{ 2 }\\\\x = \frac{2 \ \pm \ 8\sqrt{ -1}}{ 2 }\\\\[/tex]
[tex]x = \frac{2 \ \pm\ 8 i}{ 2 }\\\\[/tex] [tex][ \ where \ i = \ \sqrt{i} \ ][/tex]
[tex]x = 1 \ \pm \ 4i\\\\x = 1 + 4i , \ x = 1 - 4i[/tex]
Answer:
O B. [tex]x=1+4i[/tex] or [tex]x=1-4i[/tex]
Step-by-step explanation:
Use the Quadratic Formula for the Quadratic Equation!
Quadratic Equation: [tex]x^{2} -2x+17=0[/tex]
Quadratic Formula: [tex]x= \frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]
**********************************************************************
Now set up the values like this!
[tex]ax^{2} +bx+c[/tex]
**********************************************************************
[tex]x=\frac{-b±\sqrt{-2^2-(4(0)(17)} }{2(0)}[/tex]
[tex]x=\frac{-b±\sqrt{4-(1)} }{0}[/tex]
x = 1 - 4i
x = 1 + 4i
the ratio of the ages of Charlie and Kelvin is 2:3 if Charlie is 8 year old ,how old is Kelvin
Answer:
Charlie would be 11
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Create proportional relationship to solve for Kevin's age
Let k = Kevin's age
2/3 = 8/k
Now solve for k
Cross multiply
24 = 2k
Divide both sides by 2
12 = k
If charlie is 8 then Kevin is 12
the cost price of a refrigerator is $1850.00. A buyer who is given a discount of 5% for cash purchase will pay?
Answer:
1757.50
Step-by-step explanation:
First determine the amount of the discount
1850 * 5%
1850 * .05
92.50
Subtract this from the price
1850-92.50
1757.50
Answer:
$1757.5
Step-by-step explanation:
The way I like to do problems like this is by taking the % and putting it into this formula 100- x =
Then move it down to 2 decimal places and multiply it by the original cost. Then you have your answer.
[tex]-2\sqrt{50x^5} +5\sqrt{18x^5}[/tex]
Answer:
234.98
Step-by-step explanation:
in class notes
What’s the triangle similarity theorem?
Answer:If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional
Step-by-step explanation:
Which solid has a great volume
Answer:
The question is imcomplete. I need a diagram of some sort to help you out.
Fill in the spaces to complete the equality
Help
Answer:
(n + 13n)
Step-by-step explanation:
13n (n) = 13n²
add 13n
so 13n (n + 13n) = 13n² +13n
The PRODUCT of 25 and x.
Answer:
25x
Step-by-step explanation:
25•x is 25x.
Until you know what x is you cannot do anything
Once you find out what x is you can plug in the number in the x space to get 25•__
I hope this helped!
Who knows the answer ?
Answer:
m angle CDE is 163 degree
Step-by-step explanation:
98+65=163
If you fail two semesters will you be held back?
umm...... No because 1 haven't give any semester
Simply x+1/x^2+6x+5 step by step
Pls
Answer:
1 / (x+5)
Step-by-step explanation:
Factor the denominator
(x+1)/ (x+5)(x+1)
Cancel both (x+1)
=1/(x+5)
Math question, please help
==========================================================
Explanation:
Let's say that a = 25, b = 37 and c = 32 are the side lengths.
The uppercase letters A,B,C are opposite their lowercase counterparts.
That means angle A is opposite side a = 25
Apply the law of cosines to find angle A
a^2 = b^2 + c^2 - 2*b*c*cos(A)
25^2 = 37^2 + 32^2 - 2*37*32*cos(A)
625 = 1369 + 1024 - 2368*cos(A)
625 = 2393 - 2368*cos(A)
625 - 2393 = -2368*cos(A)
-1768 = -2368*cos(A)
-2368*cos(A) = -1768
cos(A)= (-1768)/(-2368)
cos(A) = 0.746621621621622
A = arccos(0.746621621621622)
A = 41.7014263373247
A = 41.7
Felipe, Pedro y Miguel son fanáticos del cine. Felipe asiste cada 3 días; Pedro cada 6 días y Miguel cada 5 días. Los tres van juntos un día, ¿dentro de cuántos días irán otra vez juntos?
A) 10 B) 20 C) 30 D) 35
E) 40
Answer:
Opción C, 30 días.
Step-by-step explanation:
Sabemos que:
Felipe asiste al cine cada 3 días
Miguel asiste cada 5 días.
Pedro asiste cada 6 días.
Los tres van juntos un día, ¿dentro de cuántos días irán otra vez juntos?
Los 3 volverán a ir juntos luego de N días, tal que N es el menor múltiplo común de 3, 5 y 6.
Como 6 es múltiplo de 3, podemos ignorar al 3, y solo considerar al menor múltiplo en común de 5 y 6.
Además, como podemos reescribir estos números como un producto de números primos, así obtenemos:
6 = 2*3
5 = 5*1
Estos números no comparten factores entre ellos, por lo que el menor múltiplo entre 5 y 6 es simplemente 5*6 = 30
Entonces podemos concluir que N = 30
Felipe, Pedro y Miguel irán juntos al cine nuevamente dentro de 30 días.
La opción correcta es C.
someone help me pleaseeeeee
Answer:
D
Step-by-step explanation:
All parts of the circle have a star, meaning that Andrea has a 4/4 or 1 probability of landing on a part that has a star.
URGENT PLS HELP!!!
Work out the value of 3x + 5y
when x = -5 and y = 5
Answer:
10
Step-by-step explanation:
3x + 5y
Let x= -5 and y =5
3(-5) + 5(5)
Multiply first
-15 +25
Then add
10
Ignore the fact that this is answered, im not sure if the answer is right. What is the right answer?
Answer:
x = 5.5
Step-by-step explanation:
From rectangle KLMN, KM = 6x + 16, LN = 49
Find x
It can be seen that KM and LN are both equal diagonals in the rectangle.
Therefore,
KM = LN
6x + 16 = 49
6x = 49 - 16
6x = 33
Divide both sides by 6
x = 33/6
x = 5.5
A researcher wants to assess the difficulty of test questions in an algebra class at a high school. To test it, he takes one question from each test, each week in the first semester. In statistical language, each test question is part of the:
Answer:
Population
Step-by-step explanation:
The sample is taken from the population
Each test question should be the part of the population.
What is the population?A population in terms of statistics refers to a group of people that could be identified for the motive of data collection and analysis. To received the information about a large population, data should be normally gathered from a sample.
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Sarah and Kell have stickers in a ratio of 2:4.
Together they have a total of 48 stickers. Use
the tape diagram to represent how many
stickers each girl has.
Directie
questi
For a
fo
ро
Sarah
Kelly
Answer:
kelly has 16 stickers and sarah has 8
Step-by-step explanation:
Which triangles are similar?
20°
100°
100°
60°
А
B
20°
60°
с
O A. Triangles A and B are similar to each other.
B. Triangles A, B, and C are similar to each other.
C. Triangles A and C are similar to each other.
D. Triangles B and C are similar to each other.
Answer:
B because when at B angels are the same qnd A and c are also same
What is the height of a rectangular prism with a volume of 60 cubic feet, a length of 3 ft and width 4 ft?
Answer:
5 feet
Step-by-step explanation:
2.07 x 1.7= ________ by step explenation
Answer:
3.519
Step-by-step explanation:
2.07 x 1.7 = 3.519
What is the edge length of
a cube of 1/8 m^3
Step-by-step explanation:
The volume of a cube is the edge³, so to find the edge, you need to calculate the cubic root of it:
[tex] \sqrt[3]{ \frac{1}{8} } = \frac{1}{2 } [/tex]
Helppppppppppp meeeeeee please ASAP
Answer:
x = 11
Step-by-step explanation:
(7x + 5)° = (3x + 19)° + (2x + 8)°
7x + 5 = 5x + 27
2x = 22
x = 11
If Amanda deposits 25% of her $180 paycheck into a savings account, what is the amount of her deposit?
Answer:
$45
Step-by-step explanation:
[tex]180 \times 25\%[/tex]
[tex]180 \times \frac{25}{100} [/tex]
[tex] \frac{18 \times 25}{10} [/tex]
[tex] \frac{450}{10} [/tex]
[tex]45[/tex]
The value of a car is deprecting at the rate of 12% Find the correct value of car when cost of car was rs 350000
please i need help
Answer:
The cost of the car is $ RS 308,000.
Step-by-step explanation:
Given that the value of a car is deprecting at the rate of 12%, to find the correct value of car when cost of car was $ RS350,000 last year, the following mathematical calculation must be performed:
100 - 12 = 88
88/100 = 0.88
350,000 x 0.88 = X
308,000 = X
Therefore, the cost of the car is $ RS 308,000.