[tex]\boxed{\boxed{\pink{\bf \leadsto The \ Volume \ of \ the\ sphere\ is\ 33493.33 \ in.^3 }}}[/tex]
Step-by-step explanation:According to the Question the radius of the sphere is 20 inches. And we know that the Volume of sphere is given by :-
[tex]\boxed{\orange{\sf Volume_{sphere}=\dfrac{4}{3}\pi r^3 }}[/tex]
And here radius is 20 in.
[tex]\implies Volume = \dfrac{4}{3}\pi r^3 \\\\\implies Volume =\dfrac{4}{3}\times\dfrac{22}{7}\times (20 in.)^3\\\\\implies \boxed{\bf Volume = 33493.33 in^3 }[/tex]
Hence the Volume of the sphere is 33493.33 inch³.Answer:
33493.34
Step-by-step explanation:
r=20
volume of sphere= 4/3×πr^3
= 4/3×3.14×20^3
= 33493.34
or
r=20
volume of sphere= 4/3×πr^3
= 4/3×22/7×20^3
= 33523.80952
Work out the surface area of this cylinder.
12 cm radius
35 cm height
Answer:
The surface area of this cylinder is 3545[tex]\frac{1}{7}[/tex] cm²
Step-by-step explanation:
The formula of the surface area of the cylinder is
Surface area = later area + 2 base area, whereLateral area = perimeter of the base × height of the cylinderLet us use the rules above to solve the question
∵ The base of the cylinder is a circle
∵ The perimeter of the circle = 2 π r
∵ The radius of the cylinder is 12 cm
∴ r = 12
∴ The perimeter of the base = 2 (12) (π)
∴ The perimeter of the base = 24π cm
∵ The height of the cylinder is 35 cm
∴ h = 35 cm
→ By using the rule of the lateral area above
∵ The lateral area = 24π × 35
∵ π = [tex]\frac{22}{7}[/tex]
∴ The lateral area = 24 × [tex]\frac{22}{7}[/tex] × 35
∴ The lateral area = 2640 cm²
∵ The area of the circle = π r²
∴ The area of the base = [tex]\frac{22}{7}[/tex] × (12)² = [tex]\frac{22}{7}[/tex] (144) = 452[tex]\frac{4}{7}[/tex] cm²
→ By using the rule of the surface area above
∴ The surface area = 2640 + 2(452[tex]\frac{4}{7}[/tex]) = 3545[tex]\frac{1}{7}[/tex] cm²
∴ The surface area of this cylinder is 3545[tex]\frac{1}{7}[/tex] cm²
HELP FAST!!!
What is the vertex???
Answer:
(2, -3)
Step-by-step explanation:
Its the point shown
(can I get brainliest please)
Answer:
(2,-3) is the vertex for this
(a) Complete the table of values for y = 1/2x + 1
Please help ❤️
Answer:
y =1, 1.5, 2, 2.5, 3
Step-by-step explanation:
Plug in the values of x into the equation for y.
For example when x is 0, plug in 0 into the equation
0.5x + 1 = y
0.5(0) + 1 = 1
So, y = 1
To find the other values of y, plug in the designated value of x into the equation.
Which numbers are in order from least to greatest?
1: 0.3, 3.0, 0.003, 3.33
2: 0.003, 0.3, 3.0, 3.3
3: 0.004, 4.5, 0.45, 0.4
4: 3, 0.3, 0.003, 0.04
please answer asap no trolls!
Answer:
SAS
Step-by-step explanation:
The triangles have the same angle and two sides.
Please mark me brainliest if this helped. :)
the cost of flying from san francisco to los angeles starts from $109 per person. Write an inequality that represents the possible costs for one person. Please help me, im confused
Answer:
109<x replace the < with the greater than or equal to sign
Step-by-step explanation:
Let x represent the cost for one person. That cost has to be either equal to 109 or greater than it.
What is the greatest common factor of x^6 and x^3?
A. X^4
B. X^3
C. X^2
D. X
Answer:
x^3 is your answer of question
Can Someone tell me or teach about this I don't get it.
Draw a point B, then draw any two other points D and E. The rays BD and BE are essentially arrows that both start at B and pass through D and E, respectively. See the attached sketch. Note that the points D and E need not lie on a circle like the dotted one in the sketch; they can be placed anywhere along the ray.
Then:
• (I) is sometimes true. Rays can be parallel as long as they are collinear, meaning the three points B, D, and E would need to lie on the same line. (The first sketch shows one example)
• (II) is always true.
• (III) is sometimes true, if the angle the two rays form is a right angle. (The second sketch shows one example)
• (IV) is never true, because B would have to lie on the circle itself. The center does not.
Without knowing what Damiana's/Valeria's drawing looks like, the most we can do is rule out C and D.
please awnser asap number1
Answer:
[tex]a_3=22[/tex]
Step-by-step explanation:
Given that,
a₁ = 10
[tex]a_n=a_{n-1}+6[/tex]
We can find second term first.
[tex]a_2=a_{2-1}+6\\\\=a_1+6\\\\=10+6\ (Given\ a_1=10)\\\\=16[/tex]
We need to find the third term of the above sequence. Put n = 3 in the above sequence as follows :
[tex]a_3=a_{3-1}+6\\\\=a_2+6[/tex]
Put a₂ = 16
[tex]a_3=16+6\\\\=22[/tex]
Hence, the third term of the sequence is 22.
I can't figure this out
Please help!!
Answer: y=-1/3x+5
Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!
Mr.Kim’s age in years is 6 more than 3 times the age of his daughter. Mr.Kim is 48 years old. How old, in years, is Mr.Kim’s daughter?
Answer:
I believe she would be 10 then
Step-by-step explanation:
I hope this helps. If it does please mark me the brainliest!
Peace and Love !!!!!!!
Answer:
14 years old
Step-by-step explanation:
Make an equation based on the info given, letting x stand for the daughter's age. Then solve the equation:
48 = 6 + 3x
*subtracting 6 from both sides*
42 = 3x
*dividing both sides by 3*
14 = x
I need help with this question, PLEASE!!!
Answer:
Where is point D??? I believe its IV, the others would not make sense.
Step-by-step explanation:
Determine whether each of the following equations is a function from x to y.
a. y = 2x + 1
b.1 = 2y – 4x
c. y2 – 1 = x
Answer:
a. y = 2x + 1: Not from x to y
b.1 = 2y – 4x: Not from x to y
c. y^2 – 1 = x: This is a function from x to y
Step-by-step explanation:
We are to determine whether or not the equations are function from x to y
Given the function y = f(x)
y is a dependent variable while the input variable is an independent variable. So we can say y is a function from y to x.
Also x = f(y) can be expressed as equation of a function from x to y i.e x is dependent and the input variable is independent
From tthe following options, the equation that is a function from x to y is
y² – 1 = x
This can also be written as x = y² – 1 where f(y) is y² – 1
The rest are not a function of x to y but otherwise unless re-written
2+2=?
A) The answer is Fish
B) The answer is 3
C)The answer is 5
D) The answer is all of the above
Answer:
It HAS to be ALL OF THE ABOVE, for me.
Step-by-step explanation:
Answer:
Yes the answer is D ) all of the above :)
Step-by-step explanation:
The relationship between two quantities that increase or decrease together is called ______.
A.
indirect variation
B.
variation
C.
direct option
D.
indirect option
E.
direct variation
Answer:
the relationship between two quantities that increase or decrease together is called Direct variation or positive corrilation.Answer:
indirect variation
Step-by-step explanation:
in thhe process of when one derease other will also increase .that means that the veraible change in same ratio
what is the slope.of (-3,1) and (2,-2)
Answer:
3/5
Step-by-step explanation:
m=3/5
slope---3/5
x * 2 - 21
x + 12
x - 12
x * 2 - 17
Answer:
The functions is;
x - 12
Step-by-step explanation:
Input is (x)
(2) - 12 = -10
(6) - 12 = -6
(10) - 12 = -2
(5) - 12 = -7
Solve for the missing variable(s) and SHOW ALL WORK
Answer:
x = 4
Step-by-step explanation:
From the picture attached,
By using mean ratio theorem in the given triangle,
[tex]\frac{AC}{BC}=\frac{BC}{CD}[/tex]
AC × CD = (BC)²
(x + 5)x = (x + 2)² [Since, AC = AD + CD]
x² + 5x = x² + 4x + 4
5x = 4x + 4
5x - 4x = 4
x = 4
Therefore, x = 4 will be the answer.
What is n?
Input
- 1
0
1
2
3
4
Output
8
9
10
11
n
13
Answer:
Please show more info you can send photos so we can see better thanks
Which is the standard form for this number?
(9 × 10) + (3 × 1) + (5 ×
1
10
) + (6 ×
1
1,000
)
Answer:
66,143
Step-by-step explanation:
is question the following: (9 x 10) + (5 x 10) + (6 x 11,000)??
How many ice cubes will fill the box?
O A 24,000
O B. 12.000
O c. 2,400
D. 900
E. 90
Answer:
OA 24000 righttttttttttttttt
No solution:
3(x-4/3)=3x+?
Answer:
yes I try but not any solution come
please mark me brainliest and follow me my friend.
Help if possible, thanks.
Answer:
1,2,3,6 are congruent
Step-by-step explanation:
work out the gradient of the straight line that passes through (2,6) and (6,12)
Answer:
The gradient of the straight line that passes through (2, 6) and (6, 12) is [tex]m = \frac{3}{2}[/tex].
Step-by-step explanation:
Mathematically speaking, lines are represented by following first-order polynomials of the form:
[tex]y = b + m\cdot x[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex]b[/tex] - Intercept.
The gradient of the function is represented by the first derivative of the function:
[tex]y' = m[/tex]
Then, we conclude that the gradient of the staight line is the slope. According to Euclidean Geometry, a line can be form after knowing the locations of two distinct points on plane. By definition of secant line, we calculate the slope:
[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)
Where:
[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of point A.
[tex]x_{B}[/tex], [tex]y_{B}[/tex] - Coordinates of point B.
If we know that [tex]A(x,y) = (2,6)[/tex] and [tex]B(x,y) = (6,12)[/tex], then the gradient of the straight line is:
[tex]m = \frac{12-6}{6-2}[/tex]
[tex]m = \frac{6}{4}[/tex]
[tex]m = \frac{3}{2}[/tex]
The gradient of the straight line that passes through (2, 6) and (6, 12) is [tex]m = \frac{3}{2}[/tex].
Find the LCD of the given rational equation
Answer:
[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]
Step-by-step explanation:
Step 1: Factor [tex]x² + 2x - 8: (x - 2) (x + 4)[/tex]
[tex]=\frac{x}{x+4}+\frac{x-1}{x+2}+\frac{3}{\left(x-2\right)\left(x+4\right)}[/tex]
Step 2: Find the Least Common Multiplier of [tex]x + 4, x - 2, (x + 4), (x - 2)[/tex]
= [tex](x + 4) (x + 2) (x - 2)[/tex]
Step 3a: Conform the fractions based on the LCM (Least Common Multiplier)
= [tex]\frac{x\left(x+2\right)\left(x-2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}+\frac{\left(x-1\right)\left(x+4\right)\left(x-2\right)}{\left(x+2\right)\left(x+4\right)\left(x-2\right)}+\frac{3\left(x+2\right)}{\left(x-2\right)\left(x+4\right)\left(x+2\right)}[/tex]
Step 3b: The denominators are equal, so combine the fractions.
[tex]=\frac{x\left(x+2\right)\left(x-2\right)+\left(x-1\right)\left(x+4\right)\left(x-2\right)+3\left(x+2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]
Step 4: Expand [tex]x(x + 2)(x - 2) +(x-1)(x+4)(x-2) + 3(x-2)[/tex]
[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]
Have a great day!
In the accompanying diagram of AABC, DE is parallel to BC. If AD = 3, DB = 6, and DE = 5, what is the length of BC?
Answer:
BC = 23.8
Step-by-step explanation:
3/2 + 3/2 + 3/2 = * 1/2
Answer:
3/2 + 3/2 + 3/2 = 4 1/2
A school is arranging a field trip to the zoo. The school spends 698.24 dollars on passes for 29 students and 3 teachers. The school also spends 255.49 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answer:
30.63
Step-by-step explanation:
698.24 divided by 32. because they counted the teacher and the student passes together. Then you add that number to 255.49 divided by 29 because the teachers pass is not included so then you get youre answer of 30.63
Candy's Sweets Company charges $1.15 per pound to ship candy.
Part A: Write an equation to determine the total cost, c, to ship p pounds of candy. Use your equation to determine the cost of shipping 2 pounds of candy. (6 points)
Part B: If the company reduces the cost to ship candy by $0.25 per pound, write an equation to determine the total cost, c, to ship p pounds of candy with the reduced cost. (4 points)
Your answer:
Answer:
Part A:
c = 1.15p
c(2) = $2.30
Part B:
c = 0.90p
Part B:
Step-by-step explanation:
Linear Models
Candy's Sweets Company charges $1.15 per pound to ship candy. This represents a proportional relationship between the pounds of candy and the cost.
Part A: If each pound costs $1.15, then p pounds cost $1.15p. Then the equation of the cost c is:
c = 1.15p
The cost of shipping p=2 pounds of candy is:
c = 1.15*2 = 2.30
c = $2.30
Part B: When the company reduces the cost by $0.25 per pound, the new unit cost is $1.15 - $0.25 = $0.90 per pound.
The new equation to determine the total cost for p pounds of candy is:
c = 0.90p
Kathryn deposits 100 into an account at the beginning of each 4-year period for 40 years. The account credits interest at an annual effective interest rate of i. The accumulated amount in the account at the end of 40 years is X, which is 5 times the accumulated amount in the account at the end of 20 years. Find X
Answer:
X=6.195
Attached please find equation.
Step-by-step explanation:
Let 1+i∗=(1+i)4 so that the calculation using annuity