Answer:
a) The volume of the sphere is approximately 14,137.16694 which is 14,140 cm³ correct to 4 significant figures
b) The volume of water required to fill the tank is approximately 103,670 cm³
Step-by-step explanation:
a) In the question, the radius of the sphere, r = 15 cm
The formula for the volume, 'V', of a sphere is given as follows;
[tex]V = \dfrac{4}{3} \times \pi \times r^3[/tex]
Where;
r = The radius of the the sphere
V = The volume of the sphere
Plugging in the value for the radius, 'r', of the sphere, in the equation for, 'V', we get;
[tex]V = \dfrac{4}{3} \times \pi \times 15^3 \approx = 14,137.16694[/tex]
Therefore;
The volume of the sphere to 4 significant figures is V ≈ 14,140 cm³
b) The parameters of the cylindrical tank are;
The height of the cylindrical tank, h = 60 cm
The radius of the cylindrical tank, r = 25 cm
The volume of a cylinder, V = π·r²·h
∴ The volume of the cylindrical tank without water, '[tex]V_t[/tex]', is given as follows;
[tex]V_t[/tex] = π × (25 cm)² × 60 cm ≈ 117809.72451 cm³
The volume of water, [tex]V_{water}[/tex], required to fill the tank with the sphere of volume 'V' placed inside is given as follows
[tex]V_t[/tex] = V + [tex]V_{water}[/tex]
∴ [tex]V_{water}[/tex] = [tex]V_t[/tex] - V
From which we get;
[tex]V_{water}[/tex] ≈ 117809.72451 cm³ - 14,140 cm³ = 103,669.72451 cm³ ≈ 103,670 cm³
The volume of water required to fill the tank, [tex]V_{water}[/tex] ≈ 103,670 cm³.
- 16 = -4(-5+ i)
Please help i can’t fail this test
Answer: i=9
Step-by-step explanation:
-16=-4(-5+i)
-16=20-4i
-20 -20
-36=-4i
Divide by -4
i=9
Answer:
i=9
Step-by-step explanation:
-16=-4( -5 +i)
-16= 20 -4i
-20 -20
_____________
-36=-4i
-36/-4 = 9
i= 9
Hope this Helps! Good luck at your test!
which equation is written in standard form ?
a. y-3 = -5(x+2)
b. y= 1/2x + 2
c. 3x + 2 = y
d. -7x + 2y = 9
B is standard form. y=1/2x + 2
Answer:
d.-7x+2y=9 that is the answer
Who can help me with these quick problems?
little help please? and thank you
Answer:
45.7
Step-by-step explanation:
Hello there!
We can calculate the missing angle using trigonometry
here are the trigonometric ratios
sin = opposite over hypotenuse
cos = adjacent over hypotenuse
tan = opposite over adjacent
We are given x's opposite side length (8) and x's adjacent side length (7.8)
we are given the information to use the trigonometric ratio tangent
so now we create an equation (remember tan - opposite over tangent)
[tex]tan(x)=\frac{8}{7.8}[/tex]
now we solve for x
[tex]\frac{8}{7} =1.025641026[/tex]
we're left with
[tex]tan(x) =1.025641026[/tex]
finally we want to get rid of the tan
To do so we take the inverse of tan (arctan^-1) and apply it to each side
[tex]arctan^-^1tan(x)=x\\arctan^-^1(1.025641026)=45.7252243[/tex]
so x = 45.7252243
finally we round to the nearest tenth and get that the answer is
45.7
7 1/7-3 2/7 not as a improper fraction
Answer:
6 6/7
Step-by-step explanation:
Hope this helps:)
An entrepreneur sold a damage bedspread for $130.50, there by making a loss of 13% on the cost price. Determine the cost price of the bedspread.
Answer:
130.50 X 13% = $16.97
130.50 - 16.97 = 113.53
Answer 113.53
Step-by-step explanation:
Miles is playing catch with his friend. He throws the baseball from point A to point B
shown on the coordinate plane, where each unit represents 1 yard. How far does Miles throw the baseball? Round your answer to the nearest yard.
Answer:
1234567890
Step-by-step explanation:
1234567890
The population of Wakanda is 5231281. Wakanda is about 70323 square miles. What is the population density of Wakanda? Round your answer to the nearest people per
square mile.
Find sin 0, where 0 is the angle shown.
Give an exact value, not a decimal approximation.
Answer:
Answer: Sin0 = 8/8.5
Step-by-step explanation:
Step-by-step explanation: What we have is a right angled triangle, with two sides given and one angle which is the reference angle (unknown angle).
The Sine of the angle is calculated as
Sin0 = opposite/hypotenuse
We have the opposite side (facing the reference angle) as 8 units and the hypotenuse (facing the right angle unknown), which we shall label as X.
To calculate the hypotenuse, we shall apply the Pythagoras theorem which is,
X² = 3² + 8²
X² = 9 + 64
X² = 73
Adding the square root sign to both sides of the equation, we now have
X = √73
X = 8.5 (approximately)
Now that we have the hypotenuse as 8.5, the Sine of the angle can now be calculated as
Sin0 = opposite/hypotenuse
Sin0 = 8/8.5
Use the number line to help you decide which statement is true.
Answer:
where
Step-by-step explanation:
where's the number line???
Answer:
where the number line
Step-by-step explanation:
you can screen shot the number line
Help please
4 x n = -8
Answer:
-2.
Step-by-step explanation:
4 x -2 = -8.
Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 12 questions he thought he got wrong.
It turns out that Colin got 5 questions right that he thought he got wrong.
Colin also got a total score of 42 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores
Answer:
92.86%
Step-by-step explanation:
Total questions, T = 50.
Colin thought 8 questions were right.
Colin got 5 questions right that he thought he got wrong.
Total score, s = 45.
So, actual number of questions which are wrong are 5.
Score according to him = 50 - 8 = 42.
Now, we know percentage accuracy is given by :
Therefore, percentage accuracy he had with predicting his scores is 92.86%.
f(-5) if f(x) = -x - 4
Answer:
1
Step-by-step explanation:
find the midpoint of points A (5,-6) and B(2,0) graphically
help me plssssssssssss
9514 1404 393
Answer:
f^-1(x) = 4+∛((x-6)/5)
Step-by-step explanation:
To find the inverse function, solve ...
x = f(y)
then write the answer in functional form.
[tex]\displaystyle x=f(y)\\\\x=5(y-4)^3+6\\\\x-6=5(y-4)^3\\\\\frac{x-6}{5}=(y-4)^3\\\\\sqrt[3]{\frac{x-6}{5}}=y-4\\\\y=4+\sqrt[3]{\frac{x-6}{5}}\\\\\boxed{f^{-1}(x)=4+\sqrt[3]{\frac{x-6}{5}}}[/tex]
__
The graph shows the function and its inverse to be reflections of each other in the line y=x, as they should be.
Solve the system of equations
What is 3/8 + 3/8 in simplest form ?
Answer:
I think it would be 3/4. You have to add them in a calculator.
Hope it helps!!!
Answer:
3/4
Step-by-step explanation:
3/8+3/8=6/8 6 divided by 2 is 3 . 8 divided by 2 is 4.
show that 4 2/3 + 3 4/5 = 8 7/15
Step-by-step explanation:
4 2/3 + 3 4/5 = 8 7/15
change to a common denominator:
4 10/15 + 3 12/15 = 7 22/15
reduce:
7 22/15 = 8 7/15
When the given mixed fractions are solved and tired to prove that both the sides are equal, the result will show that the given equation is correct.
What is a mixed fraction?A proper fraction that is less than one whole must represent the fractional portion of the mixed number. When a fraction is written properly, the top number, or numerator, must be less than the bottom number, or denominator.
A mixed fraction is one that has both a whole number and a fractional component. Additionally known as "Mixed numerals"
4 ⅔ + 3 ⅘ = 8 ⁷/ ₁₅
¹⁴/ ₃ + ¹⁹ / ₅ = ¹²⁷ / ₁₅
⁷⁰ / ₁₅ + ⁵⁷ / ₁₅ = ¹²⁷ / ₁₅
¹²⁷ / ₁₅ = ¹²⁷ / ₁₅
The result will demonstrate that the above equation is accurate when the given mixed fractions are solved and used to demonstrate that both sides are equal.
Learn more about mixed fraction from here:
https://brainly.com/question/8969932
#SPJ2
-3 < n < 1
n is an integer
Write down all the possible values of n
Answer:
n ε{-2,-1,0} with n being integer
A number g multipled by -8 is at least 1/4
Answer:
G x -8 ≥ 1/4
Step-by-step explanation:
Is your algebra expression
Solve for p.
9(p − 4) = −18
p =
Answer:
The answer is p = 2.
Step-by-step explanation:
1) Divide both sides by 9.
[tex]p - 4 = - \frac{18}{9} [/tex]
2) Simplify 18/9 to 2.
[tex]p - 4 = - 2[/tex]
3) Add 4 to both sides.
[tex]p = - 2 + 4[/tex]
4) Simplify -2 + 4 to 2.
[tex]p = 2[/tex]
Therefor, the answer is p = 2.
Answer:
p =2
Step-by-step explanation:
9(p-4) =-18
9p-36=-18
9p = -18 +36
9p = 18
divide both side by 9
p =2
whats 3x3+4 use pemdas ?
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
First, we do 3x3 which is 9.
Then, we do 9+4=13
Hope this helps =]
A rectangle has an area of 120 square feet and a width of 8 feet. please help
Answer:
Step-by-step explanation:
length = 120/8 = 15 feet
perimeter = (15 + 8) x 2 = 46 feet
The area is the product of the length and width then the length of the rectangle is 15 feet.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A rectangle has an area of 120 square feet and a width of 8 feet.
Then the length of the rectangle will be
Area = Length × Width
120 = 8L
L = 15
Then the length of the rectangle is 15 feet.
More about the rectangle link is given below.
https://brainly.com/question/10046743
answer asap pllssssss
Answer:
I would say D I'm not to sure though
Step-by-step explanation:
Good Luck
ill mark brainlist plss help
Answer:
100 by 190 in.
Step-by-step explanation:
Hope this helps!
Lmk if you have any questions!
Have a great day! :)
Answer:
100 by 190 in.
Step-by-step explanation:
Ratios are only equal if both numbers are divided by the same number.
10 : 19 = (10 × 10) : (19 × 10)
10 : 19 = 100 : 190
You have not mentioned if there is more than one answer so lets check the rest:
10 : 19 = (10 × 10.7) : (19 × 10 and 3/19)
10 : 19 ≠ 107 : 193
10 : 19 = (10 × 10.7) : (19 × 10)
10 : 19 ≠ 107 : 190
10 : 19 = (10 × 10) : (19 × 10 and 3/19)
10 : 19 ≠ 100 : 193
Please help will mark brainliest
Answer:
-4
Step-by-step explanation:
Answer:
y = 1/3x - 3
Step-by-step explanation:
If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, of getting exactly 1 six?
ANSWER IS 0.402
Hot dog buns come in boxes of 8. On Friday's game, the chef uses 2 1/6 boxes of hotdog buns. On Saturdays game, the chief uses 1 4/6 boxes of hotdog buns. How many boxes of hotdog buns did the chef use altogether?
Answer:
3 and 5/6
We know this because it says the chef uses 2 1/6 boxes on one day and 1 4/6 on the other.
2 + 1 = 3
1/6 + 4/6 = 5/6 (cannot be simplified)
Put them together = 3 and 5/6
somebody please help im giving 20 points and a brainliest !
Answer:
Initial is $26000
It's representing decay.
9.1% change each year.
does anyone know this
Answer:
Step-by-step explanation:
the answer is (0,6) because were the points meet is were the answer is.
I hope this helped :3
