Answer:
24.8 ft
Step-by-step explanation:
Formula to find the volume of a sphere is :
Volume = [tex]\frac{4}{3}[/tex] π r³
Here,
r ⇒ radius
Given that,
Volume ⇒ 8000 ft³
Let us find the radius of the tank now.
Volume = [tex]\frac{4}{3}[/tex] π r³
8000 = [tex]\frac{4}{3}[/tex] π r³
8000 = [tex]\frac{4}{3}[/tex] × 3.14 × r³
8000 × 3 = 4 × 3.14 × r³
24000 = 12.56r³
Divide both sides by 12.56.
1910.822 = r³
∛1910.822 = r
12.40 ft = radius
And now let us find the diameter of the sphere.
d = 2r
d = 2 × 12.40
d = 24.8 ft
The diameter of the tank is 24.80 ft
Step-by-step explanation:
Given-
A spherical tank holds 8,000 ft^3 of wateri.e. The volume of spherical tank = 8,000 ft^3
Now, the formula for finding volume of any spherical figure is-
[tex] \boxed{\mathfrak{ \purple{volume \:of \: sphere = \frac{4}{3} \pi {r}^{3} }}}[/tex]Therefore, substituting value, we get
[tex]⇢8000 = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]⇢8000 \times \frac{3}{4 } = \frac{22}{7} \pi {r}^{3} [/tex]
Transposing 4/3 to left hand side ,it will become 3/4 . And Here, 8000 will get cancelled by 4 leaving 2000
[tex]⇢2000 \times 3 \times \frac{7}{22} = {r}^{3} [/tex]
Similarly , On performing further calculations, we get. ..
[tex]⇢ \frac{21000}{11} = {r}^{3} [/tex]
[tex]⇢1910.822 = {r}^{3} [/tex]
[tex]⇢ \sqrt[3]{1910.822} = r[/tex]
[tex]⇢ \underline{12.40 = r}[/tex]
Thus, the radius of the tank is 12.40 ft
Now,
The diameter of the tank = 2 × radius
[tex] \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 12.40[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: = 24.80[/tex]
•°• The diameter of the tank comes out 24.80 ft
For problem 8, find the area of the shaded region. The polygon is a regular polygon. please show work.
Answer:
34.7791 [unit²].
Step-by-step explanation:
1) area of the circle is:
πr²;
2) area of the regular polygon is:
6*r²√3*0.25=1.5√3r²;
3) the required area:
πr²-1.5√3r²=r²(π-1.5*√3)=64*(3.1415-1.5*1.7321)=34.7791
A) Convert the exponential function, 12^3=x^4 y^3 z^6, to its corresponding logarithmic function.
B) Write the log form from Part A into the expanded log form. **expression must be fully expanded for full credit**
The logarithmic function is ㏒ 12³ = ㏒ x⁴ · y³ · z⁶. The equation into the expanded logarithmic form is 3 · ㏒ 12 = 4 · ㏒ x + 3 · ㏒ y + 6 · ㏒ z.
How to apply logarithms on a exponential function
Logarithms are the reciprocal of exponential functions. In this question we must apply logarithms and its properties to obtain a linear-like expression in the following lines. The logarithm properties are summarized below:
㏒ₐ (b/c) = ㏒ₐ b - ㏒ₐ c (1)
㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c (2)
㏒ₐ bⁿ = n · ㏒ₐ b (3)
a) To obtain the corresponding logarithmic function we apply logarithms on both sides of the expression:
㏒ 12³ = ㏒ x⁴ · y³ · z⁶ (4)
The logarithmic function is ㏒ 12³ = ㏒ x⁴ · y³ · z⁶. [tex]\blacksquare[/tex]
b) The expanded logaritmic form of (4) consists in the addition and subtraction of logarithms of non-power numbers, whose formed could be found, if possible, by logarithm properties:
㏒ 12³ = ㏒ x⁴ · y³ · z⁶
㏒ 12³ = ㏒ x⁴ + ㏒ y³ + ㏒ z⁶
3 · ㏒ 12 = 4 · ㏒ x + 3 · ㏒ y + 6 · ㏒ z
The equation into the expanded logarithmic form is 3 · ㏒ 12 = 4 · ㏒ x + 3 · ㏒ y + 6 · ㏒ z. [tex]\blacksquare[/tex]
To learn more on logarithms, we kindly invite to check this verified question: https://brainly.com/question/24211708
write 0.004 as a fraction in words.
Step-by-step explanation:
0.004 as a fraction is 1/250
one over two hundred and fifty
Answer:
one over Two hundred and fifty
Step-by-step explanation:
As we can see the 4 is 2 zeros away from the decimal point. This means that 4 must be in the thousandths place.
Therefore our answer is four thousandths.
Remember that we it is behind the decimal point, it becomes ths at the end.
To change this into a fraction we should get 4/1000 by taking the words literally.
Dividing both sides by 4 gives us 1/250
1/250 in words is one over Two hundred and fifty
I guess
Brainliest if helped
PLS HELP!!! No links pls and Ty <333
Sid is making a pizza. The diameter of the pizza is 15 inches.
What is the area of the pizza (use 3.14 for pi and round to the nearest
tenth)?
Step-by-step explanation:
Your diameter is 15 and a diameter is a whole line, what your going to do it divide the 15 by 2, than mutiply the answer by 3.14 and than round ur answer :)
For what values of a make each expression true. |a|=-a
Answer:
a=0
Step-by-step explanation:
Select all that apply
Answer:
B, C, D, F
Step-by-step explanation:
if you know the length and width of the traffic jam is (F and C) you can start to calculate how many cars are stuck in it. then by using how long the vehicles are and how long the space between them is you can find out how many cars would fit in this area. (B and D)
A and F are irrelevant because the question is simply asking how many vehicles in the jam not how many people or what cuased it.
hope this helps :]
Just answer the question RN im in a rush
Answer:
https://brainly.com/question/27407610
Step-by-step explanation:
Can two obtuse angles be supplementary? Why or why not?
Answer:
No.
Step-by-step explanation:
Two Angles are Supplementary when they add up to 180.
Let us consider the least obtuse angle, i.e., >90
Say 91 and add it to itself.
91+91 =182
This is >180
Hence, two obtuse angles can never be supplementary.
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An angle on a straight line is 180 degrees
⇒ this angel is made up of two angles with measures
⇒ 'x-7' and '57'
⇒ when these two angles are added up they are equal to the larger
angle that is 180 degrees in measure
Let's set up a mathematical equation based on the information and deduction:
[tex](x-7)+57=180\\x-7+57 = 180\\x + 50=180\\x = 130[/tex]
Answer: The value of x is 130
Hope that helps!
4x^2- 4x-1=0 i need the awnser
Answer:
See below
Step-by-step explanation:
Do you know how to use the Quadratic Formula with
a = 4 b = -4 c = -1
results in x = 1/2 +- sqrt(2) / 2
340 to nearest hundred
Answer:
300 - hope this helped :)
Step-by-step explanation:
340 to the nearest hundred
is 300 since thats the closest
how would I rewrite, 7x - 14y= -56 into slope-intercept form?
Answer:
[tex]y =\dfrac{1}{2}x+4[/tex]
Step-by-step explanation:
Slope-intercept form: y =mx +b
7x - 14y = -56
Step1 : subtract 7x from both sides
[tex]-14y = -7x - 56[/tex]
Step2: now divide both sides by (-14)
[tex]y =\dfrac{-7}{-14}x -\dfrac{56}{-14}\\\\y = \dfrac{1}{2}x+ 4[/tex]
Answer:
y = [tex]\frac{1}{2}[/tex] x + 4
Step-by-step explanation:
7x - 14y = - 56 ( subtract 7x from both sides )
- 14y = - 7x - 56 ( divide through by - 14 )
y = [tex]\frac{-7}{-14}[/tex] x - [tex]\frac{56}{-14}[/tex]
y = [tex]\frac{1}{2}[/tex] x + 4 ← in slope- intercept form
Find the slant height?
Answer:
59.94
Step-by-step explanation:
Slant height = √(height)² + (1/2 base)²
Sh = √53² + 28²Sh = √2809 + 784Sh = 59.94The baseball team in your community is playing for the championship. They will play seven games against the opposing team.
a. If the probability for your team to win is 74%, what is the probability for the other team to win?
b. Is this a binomial distribution? Why or why not?
c. What is the probability that your team will win 4 of the 7 games?
Answer:
a. 26%
b. It's a binomial distribution because the competition will only have two outcomes, win or lose.
c. 4/7 or 57%
Step-by-step explanation:
Hope this helps :)
pls explain why and how the answer u got is proportional
Answer:
A
Step-by-step explanation:
This is because to find out if a table is proportional you have to do y divided by x. Whatever table has the same answer on all of the table sections when you divide y by x, that is proportional.
please get this righttt!
Answer:
5/9
Step-by-step explanation:
this is the answer kinda not explainable so yeah
PLEASE HELP 75 POINTS
Answer:
Volume of larger box: 480
Length of small box: 5
Width of small box: 4
Height of small box: 3
Volume of small box: 60
Ratio of small box to large box: 1/8
how many days are in 3 weeks??
Answer:
21
Step-by-step explanation:
because 7 day or in a week so 7 time 3 = 21
Answer:
21
Step-by-step explanation:
Becasue there are 7 days in a week, So use and time 7x3 and you will get 21 multiplication.
What is the common denominator of 2/5 and 3/10
Answer:
Answer:
10
Step-by-step explanation:
3/10~3/10
2/5
5x2=10
2x2=4
2/5=4/*10*
In this figure, 12.2% of the area is painted blue.
How much of the area is painted blue?
1.22 cm²
3.05 cm²
4.27 cm²
5.49 cm²
The area of the figure painted blue, which is 12.2% of the total area is: 4.27 cm².
What is the Area of a Triangle and Square?Area of triangle = 1/2(b)(h)Area of Square = s²The figure is composed of a triangle and a square. Find the area of the figure.
Area of the figure = 1/2(b)(h) + s² = 1/2(5)(4) + 5² = 35 cm²
12.2% of the area of the figure = 12.2/100 × 35 = 4.27 cm²
Therefore, the area of the figure painted blue, which is 12.2% of the total area is: 4.27 cm².
Learn more about area of square and triangle on:
https://brainly.com/question/21735282
A rectangle has vertices (–1, 1), (–4, 1), (–1, 3), and (–4, 3). If the rectangle is reflected over the y-axis, what algebraic rule can be used to find each of the new vertices?
Select one:
A. (x,y)→(−x,−y)
B. (x,y)→(–y,–x)
C. (x,y)→(y,−x)
D. (x,y)→(−x,y)
Answer:
D. (x,y)→(−x,y)
Step-by-step explanation:
Reflecting OVER the Y axis means it will end up on the other side of the Y axis line. The Y coordinates remain unchanged while the X coordinates invert. Attaching a crude diagram to help you picture it.
Find the GCF of 60, 96, and 156.
Answer:
GCF = 12
for the values 60, 96, 156
Step-by-step explanation:
Solution by Factorization:
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 156 are: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Then the greatest common factor is 12.
Aaron has a dime, a penny, and a nickel in both of his pockets. If Aaron chooses a coin randomly from his left pocket and then from his right pocket, how many possible outcomes are in the sample space?
A: 27 outcomes
B: 9 outcomes
C: 3 outcomes
D: 18 outcomes
Answer:
B: 9 outcomes
Step-by-step explanation:
you have 3 possibilites in the left pocket, and 3 in the right. Multiply the number of possibilites in each pocket to find how many total possibilites there are.
My sister is 13 years old. My brother says that his age minus 14 is equal to my sisters age. How old is my brother?
Answer:
Brother's age = 13 years
Step-by-step explanation:
Sister's age = 13 year
Brother's age = x
Brother's age will be equal to the Sister's age when x-14
According To The Question
[tex]x - 14 = 13 \\ x = 13 + 14 \\ x = 27[/tex]
Therefore, Brother's age will be 27 years
!!PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!
Calculate the perimeter of the triangle
below.
24cm
32cm
PLEASE HELP URGENT
Maggie is walking her dog. She walks 2/3 mile in 7/10 of an hour. At this same rate, what distances can she walk? Select all that apply.
5/7 mile in 3/4 of an hour
7/10 mike in 2/3 of an hour
10/3 miles in 1 1/2 hours
32/21 miles in 1 3/5 hours
5/3 mikes in 1 9/10 hours
A bag contains 4 red, 4 blue, 4green, and 4 yellow marbles. A marbles is randomly pulled from the bag and replaced seven times. The table shows the outcome of the experiment. Which marble color’s observed frequency is closest to its expected frequency?
Answer:i think that there would not be a frequency because their is an equal chance of anycolr being pulled
Step-by-step explanation:
A perfect square is a number that is the square of a whole number. For example, 25 is a perfect square because it is the square of 5: 5 × 5 = 25. How many perfect squares are greater than 0 but less than 1000?
Perfect squares are squares of integers and since 961 is the square of 31, it shows that there are 31 perfect squares greater than 0 but less than 1000
What are perfect squares?A perfect square is a number that is the square of a whole number. For instance, 36 is a perfect square being the square of 6.
Other perfect squares that are between 0 and 1000 are 1, 4, 9, 16, 25, 3649, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324... 961.
Since 961 is the square of 31, it shows that there are 31 perfect squares greater than 0 but less than 1000.
Learn more on perfect square here: https://brainly.com/question/26119721
Answer:
Since 961 is the square of 31, it shows that there are 31 perfect squares greater than 0 but less than 1000.
Frank is 6 years older than his brother Joe. The sum of their ages is 38. How old is Joe AND Frank?
Answer:
Joe is 16, Frank is 22
Step-by-step explanation:
To find the solution to this problem, we first divide 38 by two.
38 / 2 = 19.
Then, we subtract 6 from 19 and have 19 and 13. Obviously, 19 is 6 more than 13 (19 - 13 = 6). Now, we need to make sure our number on the left is always 6 more than the number on the right. 19 + 3 = 22, 13 + 3 = 16. Since Frank is older than Joe by 6 years, we get 22 and 16 as their ages.
Assume there are 365 days in a year. (40 points!!!) NEED HELP ASAP will mark brainlist
-What is the probability that ten students in a class have different birthdays?
-What is the probability that at least ten students in a class share their birthday?
check out brainly.com/question/7567074, same question, verified answer