A hemispherical tank is filled with water and has a diameter of 12 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answers
Answer:
The total weight = 1286 × 62.4 = 80246 pounds.
Step-by-step explanation:
The formula of the volume of the sphere is
V = 4/3×π×r³
Given
d = 17 feet
d = 2r
r = d/2 = 17/2 = 8.5 feet
V = 4/3×π×r³
Since we need half of the volume as it is a hemispherical tank.
= 1286 ft³
Given that the weighs 62.4 pounds per cubic foot
Thus, the total weight = 1286 × 62.4 = 80246 pounds.
Related Questions
In the figure, lines a and b are parallel.
Which statements are true?
Select each correct answer.
m∠2=m∠1
m∠1=75°
m∠3=m∠1
m∠2=105°
Answers
Answer:
m∠2 = m∠1m∠1 = 75°Step-by-step explanation:
Look at the picture.
Vertical angles, corresponding angles, alternate exterior angles are congruent.
Supplementary angles add up to 180°.
The seventh term of an A.P is 15 and the fourth term is 9. Find the first term and common difference
Answers
Which number sentence is always true? Select all that apply.
negative + negative = negative
positive - negative = negative
negative + positive = positive
.positive - positive = positive
positive + positive = positive
.negative - positive = negative
Answers
2. true
3. false
4. true
5.true
6.true
Three statements that always hold true are,
negative + negative = negative.
positive + positive = positive.
negative - positive = negative.
What are some concepts related to arithmetic operations of odd and even numbers?Odd + Odd = Even.
Odd + Even = Even + Odd = )dd.
Even + Even = Even.
Odd × Odd = Even.
Even × Even = Even.
Odd × Even = Even × Odd = Odd.
Odd ÷ Odd = Even.
Even ÷ Odd = Even Or Odd.
Odd ÷ Even = Fraction/Decimal.
The true statement about positive and negative numbers are,
negative + negative = negative.
positive + positive = positive.
negative - positive = negative.
learn more about negative and positive numbers here :
https://brainly.com/question/17865861
#SPJ2
Calculate (1.6) · (0.215). Show your reasoning.
Answers
Answer:
0.344
Step-by-step explanation:
i cant show reasoning its just 1.6 times 0.215
Charlie combined 4quarts of sparkling water with 2 gallons 1 quart of apple juice.Which tells the amount of drink he made?
Answers
Explanation: hope this helps u I’m in 9th grade
9z - 6+ 7z = 16z - 6
Answers
Answer:
z = z
Step-by-step explanation:
first you should combine like terms on the left side of the equation
9z + 7z = 16z
now rewrite
16z-6 = 16z-6
add 6 to both sides
16z = 16z
divide both sides by 16
z = z
Answer:
Both sides are equal. z has no solution. The input is an identity. It is true for all values.
Step-by-step explanation:
9z - 6 + 7z = 16z - 6
16z - 6 = 16z - 6
Both sides are equal. z has no solution. The input is an identity. It is true for all values.
Which statement is true about this data set?
{70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}
80 is an outlier because it is greater than the upper fence.
This data set has no outliers.
65 and 80 are both outliers because 65 is less than the lower fence and 80 is greater than the upper fence.
65 is an outlier because it is less than the lower fence.
PLS HELP I WILL GIVE Brainliest
Answers
Answer:
Option 3 - This data set has no outliers.
Step-by-step explanation:
Given : The data {70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}
To find : Which statement is true about this data set?
Solution :
The statements is all about outlier.
So, we find the outlier of the data.
Step 1- Arranging the data from lowest to highest,
{65,66,66,67,68,70,71,72,78,78,80}
Step 2 - Find the median of the data
As the data is odd numbers so the median is th term.
term.
6th term is 70 ⇒ Median =70
Step 3 - To find Upper quartile and lower quartile
Lower quartile data set is the median of the upper terms from median
{65,66,66,67,68}
Median of the set is 66
∴
Upper quartile data set is the median of the lower terms from median
{71,72,78,78,80}
Median of the set is 78
∴
Step 4 - To find the interquartile range.
Step 5 - To find the fences for the data set.
The formula to find range is
Substitute the values, we get
The range in which data lies is [48,96]
We have seen that all the data lie inside the range.
Therefore, This data set has no outliers.
Hence, Option 3 is correct.
pls give me brainlist
58 Select the correct answer. An investment banking house conducted a survey to determine how two of its proposed investment plans for three different age categories are used. This table shows the responses they received. Plan l Plan II Neither 19 14 17 Ages 26-35 Ages 36-45 Ages 46-55 14 28 8 00 27 21 2 What percentage of people preferring plan I are from the 36-45 age group, and what percentage of people from the 46-55 age group prefer plan II? Round your answers to the nearest whole number. OA 2396 of people who prefer plan I are from the 36-45 age group, and 42% of people from the 46-55 age group prefer plan II . O B. 28% of people who prefer plan I are from the 36-45 age group, and 42% of people from the 46-55 age group prefer plan II. 2396 of people who prefer plan I are from the 36-45 age group, and 33% of people from the 46-55 age group prefer plan II. 28% of people who prefer plan I are from the 36-45 age group, and 33% of people from the 46-55 age group prefer plan II. OD es reserved
Answers
Answer:
23% of people who prefer plan I are from the 36–45 age group, and 42% of people from the 46–55 age group prefer plan II.
Step-by-step explanation:
___________Plan I___ Plan II ___Neither
Ages 26–35__ 19_____ 14_______ 17
Ages 36–45__ 14 _____28_______ 8
Ages 46–55__ 27 _____21_______ 2
Total Number who prefer plan 1 = (19 + 14 + 27) = 60
Number in the 36 - 45 age group = 14
Percentage = 14 / 60 = 0.2333 = 23%
Number of people in the 46-55 age group = (27 + 21 + 2) = 50
Number on the age group who prefer plan II = 21
Percentage = 21 / 50 = 0.42 = 0.42 * 100 = 42%
Frederick and Fabricio enjoy catching Pokémon every day. They have developed different techniques of catching as many Pokémon as possible in an hour. Frederick represented the results of his catching techniques in the graph below, where the x-axis represents the time in hours and the y-axis represents the number of Pokémon in his pokeballs, while Fabricio decided to represent his results as the function f(t)=15t. After how many hours would Frederick have more Pokémon than Fabricio?
Answers
Answer:
sorry don't know what the answer is
find the slope of the line going through the points (2,-3) and (-1,15) in the simplest form
Answers
Answer:
y=-2x
Step-by-step explanation:
You could find the slope of line going through the points (2,-4) and (-1,2). It is
slope is -6/3 or -2
So the line is
Now plug in one of the points and the slope into point slope form and find the line
y+4=-2(x-2) or
y+4=-2x+4 so
y=-2x
Check it by making sure BOTH points are on the line. Plug the values into the equation you found for the line.
-4=-2(2)
2=-2(-1)
Help please :)))))))))))))))))
Answers
Answer:
Using Sine Rule
w= 19.8
A hose is used to fill an empty wading pool. The graph shows volume (in gallons) in the pool as a function of time (in minutes). Which of the following defines a formula for computing the time, 1, as a function of the volume, v?
Answers
solve the system by substitution
5x+y=-14
5x- 3y=2
Answers
Answer:
x=-2 and y=-24
Step-by-step explanation:
plug in the value of y (-5x-14) into the second equationWhich is a monthly summary of all your checking account transactions?
A.
a check leaf
B.
a check register
C.
a bank statement
Answers
I think it is that one
Answer: A Bank Statement
Step-by-step explanation:
used to own bank account
What is the factorization of the polynomial below?
x2 + 11x + 10
A. (x + 2)(x + 5)
B. (x + 10)(x+ 1)
O C. (x+3)(x+3)
O D. (x + 5)(x+6)
HELP ASAP
Answers
Answer:
[tex]b. (x + 10)(x + 1)[/tex]
[tex] {x}^{2} + 11x + 10[/tex]
[tex]x(x + 10) + x + 10[/tex]
factor out x from the expression
[tex]x(x + 10) + x + 10[/tex]
factor out x +10 from the expression
[tex](x + 10)(x + 1)[/tex]
then its the answer
i hopenit helps , even though it was just my.....own opinion .....answer
Will mark brainliest please help ASAP Complete the square to find the vertex of this parabola x^2-14x+4y+29=0
Answers
Answer:
(7,5)
Step-by-step explanation:
please help i suck at these
Answers
Answer:
1st Option;
j = 4.5
k = 2
Step-by-step explanation:
Let's solve for "j" first:
=> We know that by the definition of midpoint segment theorem we can say;
3j = 5j - 9
0 = 5j - 3j - 9
0 = 2j - 9
0 + 9 = 2j
9 = 2j
9/2 = j
4.5 = j
=> Now that we have j-value we use the same method to solve for k-value;
6k = k + 10
6k - k = 10
5k = 10
k = 10/5
k = 2
Therefore;
j = 4.5
k = 2
So the first option would be correct!
Hope this helps!
3/4+ (1/3 ➗1/6)- (-1/2)=___
1 3/4
2 1/4
3/4
3 1/4
Answers
STEP 1: (1/3 : 1/6) = 2/1 = 2
STEP 2: 3/4 + 2 = 11/4 = 2 3/4 = 2.75
STEP 3: 2.75 (-1/2) = -11/8 = -1 3/8 = -1.375
(1) Divide: 1/3 : 1/6 = 1/3 · 6/1 = 1 · 6/3 · 1 = 6/3 = 3 · 2 /3 · 1 = 2
(2)Add: 3/4 + the result of step No. 1 = 3/4 + 2 = 3/4 + 2/1 = 3/4 + 2 · 4/1 · 4 = 3/4 + 8/4 = 3 + 8/4 = 11/4
(3) Subtract: the result of step No. 2 - (-1/2) = 11/4 - (-1/2) = 11/4 - (-1) · 2/2 · 2 = 11/4 - (-2/4) = 11 - (-2)/4 = 13/4
Therefor your answer is A 13/4 OR 1 and 3/4: )
Hope this helps!
Sorry for all the steps but those steps will help you!
-Hailey: )
(nothing is copied or pasted!!!!!)
Circle has a circumference of 38 cm
What is the length of the radius,
6 cm
18 om
36 cm
72 cm
Answers
[tex]circumference \: of \: circle \: = 2 \: \pi \: r[/tex]
38 = 2πr
r = 38/2π
r = 38÷6.28
r = 6 cm
A map is created on a coordinated plane . Ty’s house is located( 7,8) and the library is located( 7,-6)How many blocks is it from Ty’s house to the library each unit on the coordinate plane represents 1 block
Answers
Given:
Ty’s house is located ( 7,8) and the library is located ( 7,-6).
Each unit on the coordinate plane represents 1 block.
To find:
The number of blocks from Ty’s house to the library.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We need to find the distance between the two points ( 7,8) and ( 7,-6).
Using the distance formula, we get
[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]
[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]
[tex]D=\sqrt{196}[/tex]
[tex]D=14[/tex]
The distance between the two points ( 7,8) and ( 7,-6) is 14 units.
We know that, each unit on the coordinate plane represents 1 block.
Therefore, there are 14 blocks from Ty’s house to the library.
Use a formula to find the amount of wrapping paper you need to wrap a gift in the
cylindrical box shown. You need to cover the top, bottom, and all the way around
the box. Use 3.14 for it.
7 in. height to 9 in. radius
Answers
Answer:
100.48 square inches
Step-by-step explanation:
Surface area of a cylinder = 2πr(r+h)
r is the radius
h is the height
Given
radius = 9in
height = 7in
π = 3.14
Substitute into the formula
Surface area of the cylinder = 2(3.14)(9+7)
Surface area of a cylinder = 2*3.14*16
Surface area of a cylinder = 100.48 square inches
Hence the amount of wrapping paper you need to wrap a gift in the
cylindrical box is 100.48 square inches
What two number add up to 10 multiply by 24
Answers
Answer:
the two numbers are six and four
Step-by-step explanation: 6+4=10 6x4=24
Suppose that the length of a certain rectangle is two centimeters more than three times its width. If the area of the rectangle is 85 square centimeters, find its length and width
Answers
Answer:
width = 5 in
length = 17 in
Step-by-step explanation:
Area of a rectangle = length x width
width = w
length = 2 + 3w
85 = (w) x (2 + 3w)
85 = 2w + 3w³
this can be solved using quadratic equation
3w³ + 2w - 85 = 0
factors of 3w³ x -85 that add up to 2w are : +17 w and -15w
(3w³ - 15w) (17w - 85) = 0
3w(w - 5) 17(w - 5) 0
w = 5
or w = - 17/3
the width cannot be a negative number. the correct width is 5 in
Length = 2 x 3(5) = 17 inches
Hello! Im currently in elementary school and ik this is easy for u in middle school so pls help me.
You go out of the path and take a round that forms a perimeter of the small mountain. You measure the circumference to 75 meters. The view was so nice here, so you take another round with the same circumference.
How much longer was the trip because you took 2 laps in this perimeter detour?
I’ll give 15 points? pls fast i have time on me.
Answers
Answer: WELL WE GO BY 150 METERS AND THAT ADDS TO TIME BUT BUT GOING TWICE YOU GET 150 METER IN ALL
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the values with the statistical measures for these data points.
34, 37, 39, 32, 48, 45, 53, 62, 58, 61, 60, 41
46.5
62
34
59
48
60
32
38
upper quartile
arrowRight
maximum
arrowRight
minimum
arrowRight
lower quartile
arrowRight
median
arrowRight
Answers
Answer:
lower quartile - 38
upper quartile - 59
maximum - 62
median - 46.5
minimum - 32
I hope this help. Have a great day!
can someone average this out for me and for the term test I made a 36
Answers
Answer: 70.77 or 71 if rounded up
Step-by-step explanation:
Add all the scores then divide to 18.
Which quadrant is each ordered pair in?
1. (-3,1)
2. (-9,-4)
3. (10,5)
4. (6, -7)
Answers
2. III
3. I
4. IV
Answer:
(-3‚1) lies in second quadrant.
What is the overlap of Data Set 1 and Data Set 2?
high
moderate
low
none
Answers
Answer: Low
The overlap of data set 1 and data set 2
what is the exterior angle sum for a 252-gon?
Answers
Answer: 360
Step-by-step explanation: Anytime it asks for the exterior sum it will always be 360
Shannon is dressing a mannequin for a store window to show off a new line of men's clothing. Shannon can choose from 2 different T-shirts and 8 styles of jeans. How many different ways can Shannon dress the mannequin?
ways
Answers
Answer:
16
Step-by-step explanation: