What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an
inch?
The required diameter of the sphere where the volume is 72 inches is 5.2 inches respectively.
What is a sphere?A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same distance from a single point.
The radius of the sphere is denoted by the letter r, and the specified point represents its center.
The sphere is a three-dimensional shape that is sometimes referred to as a circle's second cousin.
A sphere is a solid shape that is circular, without borders.
Balloons, toy balls, and even light bulbs are examples of objects with sphere shapes.
So, the volume of the sphere formula is:
4/3πr³
We know that the volume is 72 inches.
Then calculate as follows:
72 = 4/3πr³
r³ = 72*3/4π
r = 2.58 (Approx)
Rounding off: 2.6 inches
Then the diameter would be:
2.6 * 2 = 5.2 inches
Therefore, the required diameter of the sphere where the volume is 72 inches is 5.2 inches respectively.
Know more about a sphere here:
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Correct question:
What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an inch?
How would you write one million as a power of 10?
Answer:
10 to the power of 6
Step-by-step explanation:
10 x 10 x 10 x 10 x 10 x 10 = 1,000,000
Answer:
[tex]10^{6}[/tex]
Step-by-step explanation:
10 multiplied by itself 6 times is 1,000,000
Find the volume of a pyramid with a square base, where the area of the base is 19.8 cm2 and the height of the pyramid is 13.9cm. Round your answer to the nearest tenth of a cubic centimeter
Answer:
91.7 cm^3
Step-by-step explanation:
[tex]Vol=\frac{1}{3} \times base area \times height=\frac{1}{3} \times 19.8 \times 13.9= 91.7 cm^{3}[/tex]
1 is 3 . 3 is 5 . 5 is 4 . 4 is 4 .
What is 7? Explain why.
Answer:
5
Step-by-step explanation:
seven has 5 letters
Please help me!!!!!!!!!
Answer:
14.4
Step-by-step explanation:
Which of the expressions will have a product with three decimal places? Check all that apply.
0.271
Х 5
1.975
56.8
II
4.2
x0.08
x 0.1
x 1.34
Answer: Its 4.2x 0.08 and 56.8x 1.34
Answer:
0.271 x 5
----
4.2 x 0.08
----
56.8 x 1.34
Step-by-step explanation:
There are 3 correct answers in total everyone.
Belleview High School has 12 chaperones for 198 students on a field trip. Which of the following schools has the same ratio of chaperones to students?
Answer:
The ratio for this school is 12/186 which gives us 2/31. Just check which option has the same ratio and that will be your answer.
Step-by-step explanation:
Answer:
There is no other schools listed so I cant answer the question
Step-by-step explanation:
The product of x and 8 is not less than 16
Answer:
x ≥ 2
Step-by-step explanation:
The inequality would be: x * 8 ≥ 16
8x ≥ 16
x ≥ 16/8
x ≥ 2
Hope this helps!
Answer:
x*8 > 16
Step-by-step explanation:
product means multiplaction and x and 8 are being multiplied so x*8 and the answer is not less than or at least 16
If the previous balance on your credit card account is $288.44, the periodic rate is 0.7%, you made a payment of $45, and you had new purchases of $120.33, then how much is the new balance this month?
Answer: $46,619
»» 288.44 / 0.7%
»› 41,205
»» 45 x 120.33
»» 5,414
A=41,205
A=5,414
A=46,619
[tex]\color{yellow}{}[/tex]
There are 4.5 litres of milk in a pot. The chef stirs in 2.5 g of salt and 1.2 litres of water. How much liquid is in the pot?
Answer:
5.7 litres
Step-by-step explanation:
The salt is not a liquid so you do not need to add it in.
4.5 litres + 1.2 litres = 5.7 litres
HELP PLEASE I WILL MARK BRAINLIEST
Answer:
A
Step-by-step explanation:
I just took This test
PLSS HELP ME ITS WORTH 20 POINTS!!
Answer:
suplementary
Step-by-step explanation:
By the distributive law 3 ✖ 2 + 3 ✖ 4 =
1. 9 + 8
2. 9 ✖ 8
3. 3 + 8
4. 3 ✖ 6
Need this quick as hell 25 points
(1.9)2 standard form
Answer:
-4
Step-by-step explanation:
hope this helps
have a great day/night :)
Please help me on this!
Answer:
[tex]s=20[/tex]
Step-by-step explanation:
By the Exterior Angle Theorem, we know that the exterior angle is equal to the sum of the two, opposite interior angles.
In other words:
[tex]4s=(3s-20)+(2s)[/tex]
Solve for s. Combine like terms:
[tex]4s=5s-20[/tex]
Subtract 5s from both sides:
[tex]-s=-20[/tex]
And divide both sides by negative one. Therefore:
[tex]s=20[/tex]
There are two squares, one with sides 3 feet long, and one with sides 6 feet long. How much bigger are the perimeter and area of the larger square? How are the factors related?
Answer:
24ft,36ft2
The perimeter is the sides multiplied by 4 and area is the square of sides the larger the sides the larger the perimeter and area
Step-by-step explanation:
Perimeter = 6*4= 24feet
Area= 6*6= 36feet2
Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths.
Base 3 1/2 feet, altitude 3/4 feet.
Answer:
below
Step-by-step explanation:
base * height = area of a parallelogram
7/2 × 3/4
=21/8 feets
Please help! really stuck on this question!
Cameron sponsored a fundraiser that 582 people attended. He raised 6,480. He charged $15 for balcony seats and $10 for ground seats. How many people bought balcony seats (b) and how many bought ground seats (g)?
15b + 10g = 6,480
b + g = 582
Answer:
132 people bought balcony seats and 450 people bought ground seats.
Step-by-step explanation:
We want to solve the system of equations:
[tex]\left\{ \begin{array}{ll} 15b+10g=6480 \\ b+g=582 \end{array} \right[/tex]
We can solve this by using substitution. From the second equation, we can subtract b from both sides:
[tex]g=582-b[/tex]
In the first equation, we can divide both sides by five:
[tex]3b+2g=1296[/tex]
Substitute:
[tex]3b+2(582-b)=1296[/tex]
Distribute:
[tex]3b+1164-2b=1296[/tex]
Simplify:
[tex]b+1164=1296[/tex]
Solve for b:
[tex]b=132[/tex]
Using the modified equation again, substitute:
[tex]g=582-(132)[/tex]
Evaluate:
[tex]g=450[/tex]
Therefore, 132 people bought balcony seats and 450 people bought ground seats.
What is the distance from Cto D?
5
4
D(5,3)
3
2
1
5
1 2 3
C(2, -1
-2
3
-4
-5
OA. 5 units
B. 25 units
C. 7 units
D. 1 unit
Given:
The two points C(2,-1) and D(5,3) on a coordinate plane.
To find:
The distance from C to D.
Solution:
The distance between two points is defined by the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The two points are C(2,-1) and D(5,3). Using the distance formula, we get
[tex]CD=\sqrt{(5-2)^2+(3-(-1))^2}[/tex]
[tex]CD=\sqrt{(3)^2+(3+1)^2}[/tex]
[tex]CD=\sqrt{(3)^2+4^2}[/tex]
On further simplification, we get
[tex]CD=\sqrt{9+16}[/tex]
[tex]CD=\sqrt{25}[/tex]
[tex]CD=5[/tex]
The distance from point C to D is 5 units. Therefore, the correct option is A.
In the figure below, secant PQ intersects the circle at R and secant SQ intersects the circle at point T. What is the value of z?
Answer:
19
Step-by-step explanation:
6×(6+14) = 5×(5+z)
120 = 25 + 5z
95 = 5z
z = 19
15 points!
What is the equation of a circle with center (-3,2) and radius 4?
(x - 3)² + (y + 2)² = 16
(x - 3)² + (y + 2)² = 2
(x - 2)² + (y - 3)² = 4
(x + 3)² + (y + 2)² = 2
(x + 3)² + (y - 2)² = 16
(x - 3)² + (y - 2)² = 4
Answer:
(x+3)² + (y-2)² = 16
Step-by-step explanation:
the equation of a circle is
(x-a)² + (y-b)² = r²
with (a,b) being the center, and r the radius.
Justin wanted to walk 3.5 miles a day for a whole year if he meets his goal of walking 3.5 miles a day for the entire year, how total miles will Justin walk in a year?
Answer:
1277.5
Step-by-step explanation:
365 days in a year. If he walks daily 3.5 miles, then 3.5*365
3.5*365= 1277.5
MATH HELP PLEASE ANSWER AND SHOW WORK ITS DUE SOON THANKS
Answer:
the area of the circle is the number of boxes in the box minus no .of boxes in circle....
hay claudia do u remember me
When the function f(x) = 4(2)x is changed to f(x) = 4(2)x − 13, what is the effect? (5 points)
a
There is no change to the graph because the exponential portion of the function remains the same.
b
The x-intercept is 13 spaces higher.
c
The y-intercept is 13 spaces lower.
d
All input values are moved 13 spaces to the left.
Answer: C. The y-intercept is 13 spaces lower.
Step-by-step explanation:
Answers in case you cant see them:
-3
-7
-11
11
Answer:
Step-by-step explanation:
8x-9+2+9x=180 degree(being co interior angles)
17x-7=180
17x=180+7
x=187/17
x=11 degree
Answer:
11
Step-by-step explanation:
consecutive interior angles always equal to 180 degrees, so you would add both equations together and equal it to 180 degrees. you would then simplify and solve.
8x-9 + 2+9x = 180
-7 + 17x = 180
-7+7 180+7 = 187
17x = 187
17x/17 = 187/17
x=11
Write the equation of the graph below.
Answer:
-x²+8x-15
Step-by-step explanation:
There are two solutions: 3 and 5
First, let's write the equation in this form (pay attention, the parabola here is going up so it won't be like your graph):
(x-3)(x-5)
For resolve our problem, let's re-write it with a minus before:
-(x-3)(x-5)
You can also expand it and the result will be like this:
-x²+8x-15
what is the inverse of the function f(x) = 4x^3 - 9
Answer:
[tex]f(x)^-^1=\sqrt[3]{\frac{x+9}{4}}[/tex]
Step-by-step explanation:
Finding the inverse of a function is essentially doing a given function in backwards order. An easy trick to doing such is to treat the evaluation (f(x)) like a variable. Think of the function as an equation, then solve the function for (x) in terms of (f(x)).
[tex]f(x)=4x^3-9[/tex]
Inverse operations,
[tex]f(x)=4x^3-9\\\\(f(x))+9=4x^3\\\\\frac{((f(x))+9)}{4}=x^3\\\\\sqrt[3]{\frac{(f(x))+9}{4}}=x[/tex]
Now put this in the form of an inverse function, switch the places of the terms (x) and (f(x)), remember to indicate that it is an inverse function,
[tex]f(x)^-^1=\sqrt[3]{\frac{x+9}{4}}[/tex]
evaluate 9^-1/2
help
Answer:
1 /3
Step-by-step explanation:
We know that a^-b = 1/a^b
9^-1/2 = 1/9^1/2
The sqrt (9) =3
1 /3
Please help me I need to answer this before tomorrow!
Answer:
Quadrant IV or D
Step-by-step explanation:
It is Quadrant IV or D, since it is a positive x (meaning it must be 1 or 4) and it has a negative y (so 3 or 4). You then find the common answer which is 4 or IV.
y = one-third (x + 2)
Answer:
Step-by-step explanation:
according to the question equation is
y=1/3*(x+2)
y=x+2/3
