Answers
Answer/Step-by-step explanation:
Problem 1:
Radius = 4.8 cm
Height = 6 cm
Volume of cylinder (V) = πr²h
Plug in the values
V = π*4.8²*6 = 434.29 cm³
Problem 2:
Length of pipe = 26 cm
Internal diameter = 6.5 cm
Thickness = 0.5 cm
Pipe volume (V) = π(R² - r²)h
where,
R = Outer radius = ½(6.5) + 0.5 = 3.75 cm
r = inner radius = ½(6.5) = 3.25 cm
h = height = 26 cm
Plug in the values
V = π(3.75² - 3.25²)*26 = 285.88 cm³
Problem 3:
Volume the cylindrical paint can hold = 2.5 litres = 2.5*1000 = 2,500 cm³
Height (h) = 16 cm
Radius (r) = ??
Volume of cylindrical can (V) = πr²h
Plug in the values
2,500 = π × r² × 16
2,500 = 16π × r²
Divide both sides by 16π
2500/16π = r²
49.7 = r²
Take the square root of both sides
√49.7 = r
r = 7.05 cm (nearest hundredth)
Problem 4:
The section of the guttering is ½ of a cylinder
Diameter = 14 cm = 0.14 m
Radius = ½(0.14) = 0.07 m
Volume = 20 litres = 0.02 m³
Length (h) = ??
Volume of the guttering = ½(volume of cylinder) = ½(πr²h)
Plug in the values
0.02 = ½(π*0.07²*h)
0.02*2 = 0.0049π*h
0.04 = 0.0049π*h
Divide both sides by 0.0049π
0.04/0.0049π = h
2.6 = h (nearest tenth)
Length = 2.6 m
Problem 5:
Height of the smaller cylinder (h) = 13 cm
Radius of the smaller cylinder (r) = ½(7) = 3.5 cm
Volume of smaller cylinder = πr²h = π × 3.5² × 13 = 500.3 cm³
Volume of larger cylinder filled to a height of 5 cm = Volume of smaller cylinder
Thus:
Volume of cylinder filled to height of 5cm = 500.3 cm³
height (h) = 5
radius (r) = ???
Therefore,
500.3 = π × r² × 5
500.3 = 5π × r²
500.3/5π = r²
31.9 = r²
√31.9 = r
r = 5.6 cm (nearest tenth)
Related Questions
Divide. Express your answer in simplest form. ○14 ○ 49 ○98 ○28
Answers
Answer: 49
see below for work
Answer:
gang gang
Step-by-step explanation:
Find the value of x 105 150 135 125 140 135 x
Answers
By using the fact that the sum of the interior angles is 900°, we will find that the value of x is 110.
How to find the value of x?We know that for a figure of N sides, the sum of the interior angles gives:
S = (N - 2)*180°
In this case, we have 7 sides, then the sum of the interior angles gives:
S = (7 - 2)*180° = 5*180° = 900°
Adding the 7 angles we get:
105° + 150° + 140° + x° + 135° + 125° +135° = 900°
790° + x° = 900°
x° = 900° - 790°
x = 110°
The value of x is 110.
Learn more about interior angles:
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Select the correct statement about the function represented by the table.
Answers
Answer:
Option (A)
Step-by-step explanation:
x y Ratio [tex](\frac{y_2}{y_1})[/tex]
1 7 -
2 21 [tex]\frac{21}{7}=3[/tex]
3 63 [tex]\frac{63}{21}=3[/tex]
4 189 [tex]\frac{189}{63}=3[/tex]
5 567 [tex]\frac{567}{189}=3[/tex]
Since, there is a common ratio in each successive term of y over the equal interval of x values,
Given table will represent an exponential function.
Therefore, Option (A) will be the correct option.
Please define the following terms:
mercantilism, import, export, enumerated article, legislature, indentured servant, Navigation Acts, Dominion of New England, English Bill of Rights.
Answers
Answer:
★ Mercantilism - loosely related policies developed by Britain so that the colonies could be used as a source of raw materials.
★ Import - when items are brought in from other countries.
★ Export - when items are sold from one country to another.
★ Enumerated Article - certain crops and items, such as sugar, tobacco, cotton, ginger, and some dyes, that could not be shipped, carried, conveyed, or transported under the Navigation Act of 1660.
★ Legislature - a group of people coming together to legitimize decisions.
★ Indentured Servant - colonists who received free passage to North America in exchange for working without pay for a certain number of years.
★ Navigation Acts - band of laws that restriced the use of foreign shipping for trade only between england and its colonies.
★ Dominion of New England - an english governing organization that united the New England colonies into a single administrative unit from 1686 to 1689.
★ English Bill Of Rights - act passed by parliament, that ensured the superiority of parliament over the monarchy.
Step-by-step explanation:
Hope you have a great day ;-)
The sum of two numbers is 60 and the difference is 6. What are the numbers?
Answers
Answer:
33 and 27
Step-by-step explanation:
60 ÷ 2 is 30
33 is 6 more than 27
For a sample, the 95% confidence interval is (0.202, 0.482). What is the point estimate, \hat{p}, of this sample?
Answers
Answer:
The Point estimate p = 0.342
Step-by-step explanation:
For the sample, 95% confidence interval (0.202,0.482) . The Confidence interval width = (0.482 - 0.202) = 0.28
The margin of error = 0.28/2
The margin of error = 0.14
So, Point estimate p = Lower bound + Margin of error
Point estimate p = 0.202 + 0.14
Point estimate p = 0.342
Therefore, the Point estimate p = 0.342
When 5(2x+3)-(x+4) simplified is?
Answers
Answer:
9x + 11
Step-by-step explanation:
5(2x+3)-(x+4)
10x+15-x-4 Use distributive property
10x-x +15-4 Combine like terms
9x + 11
Hope this helps!
I have to select which pair of triangles can demonstrate congruence. Any help?
Answers
Answer: Choice D is correct
You use the HL (hypotenuse leg) theorem here.
The hypotenuse is the side opposite the right angle. In this case, the two hypotenuse segments overlap perfectly, so you'll use the reflexive property. The tickmarks tell us that we have a pair of congruent legs.
The other choices don't have enough information to be able to say if the triangles are congruent or not.
The pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.
What is congruence in the triangles?The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.
The side opposite the right angle is known as the hypotenuse. You will employ the reflexive characteristic in this instance since the two hypotenuse segments exactly overlap one another. We have a set of legs that are congruent, according to the tickmarks.
The information provided by the alternate options is insufficient to determine whether or not the triangles are congruent.
Thus, the pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.
Learn more about the congruence in the triangles here:
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( x + 9 ) - ( x -2 )=
Answers
Answer:
x = -7/2
Step-by-step explanation:
( x + 9 ) - ( x -2 )=
2x +7 =
2x = -7
x = -7/2
Lou deposited $3,500 into a savings account. The simple interest rate is 4%. How much interest will the account earn in 10 years?
Answers
Answer:
2 years : $280
10 years: $1400
Step-by-step explanation:
The amount of interest earned in 10 years will be $1,400.
What is simple interest?Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,
The formula for interest is written as,
I = (PRT)/100
$3,500 was put into a savings account Lou. 4% is the simple interest rate.
The amount of interest after 10 years is calculated as,
I = ($3,500 x 4 x 10) / 100
I = $1,400
The amount of interest earned in 10 years will be $1,400.
More about the simple interest link is given below.
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a garden store is making seed package . Each package contains 35 seeds. There are 1960 seeds available. How many seed package can be made ?
Answers
Divide total seeds by seeds per package:
1960 / 35 = 56
56 packages can be made.
If f(x) = 22 +3 and g(2) = 32 – 2, then what is (f.g)(x)?
Answers
Answer:
(22+32) (3) I think
Step-by-step explanation:
Please help me with this, thank you
Answers
1. AD and BC bisects each other at E
1. Given
2. ABE ≈DCE
2. Vertical Angles
3. ABE≈DCE
3. SAS postulate
Which of the following could represent the unit side lengths of a right triangle
A 5,8,10
B 3,5,7
C 6,11,13
D 12,16,20
Answers
Answer:
Choice D
Step-by-step explanation:
If you check each one plugging in your info into this you can get [tex]a^{2} +b^{2} =c^{2}[/tex] that 12² + 16² will equal 400 which is the same as 20².
Answer:
Answer: D 12,16,20
Step-by-step explanation:
The Pythagora's Theorem
On a right triangle with side lengths of a,b, and c, being c the hypotenuse, of the longest side, it follows that:
[tex]a^2+b^2=c^2[/tex]
The set {a,b,c} is often called a Pythagorean Triple.
Testing every option:
A
[tex]5^2+8^2=10^2[/tex]
[tex]25+64 = 100[/tex]
89 = 100
Since equality is false, 5,8,10 are not the side lengths of a right triangle.
B
[tex]3^2+5^2=7^2[/tex]
[tex]9+25 = 49[/tex]
34 = 49
Since equality is false, 3,5,7 are not the side lengths of a right triangle.
C
[tex]6^2+11^2=13^2[/tex]
[tex]36+121 = 169[/tex]
157 = 169
Since equality is false, 6,11,13 are not the side lengths of a right triangle.
D
[tex]12^2+16^2=20^2[/tex]
[tex]144+256 = 400[/tex]
400 = 400
Since equality is true, 12,16,20 could be the side lengths of a right triangle.
Answer: D 12,16,20
Which equation has a solution of 54.73 for n?
n +8 = 62.73
n - 8 = 62.73
62.73 + 8 = n
8-46.73 = n
Answers
Answer:
n + 8 = 62.73
the first one
Step-by-step explanation:
X+1=4x-2
How do u break this down??
Answers
Answer:
x+1=4x-2
Subtract x from both sides
1=3x-2
Add 2 to both sides
3=3x
Divide 3
x=1
Answer:
x+1=4x-2
-4 -4
-3x+1=-2
-1 -1
-3x=-3
x=-3÷-3
x=1
the product of the sum and the difference of 8x and 4y
Answers
Answer:
4
Step-by-step explanation:
o dont really know. I dont understand the question
A certain plant grows 1 1/6 inches every week. How long will it take the plant to grow 4 1/6 inches?
Answers
Answer:
3 weeks and 4 days.
Step-by-step explanation:
If the plant grows 1 1/6 inches every week, then that means 1/6 inch everyday. 1 1/6 x 3 = 3 3/6
3 3/6 + (1/6 x 4) = 4 1/6
3 weeks and 4 days
as a membership fee, a health club charges a one time amount of $40 and charges $25 each month. the total fee after m months is $240 what is the value of m
Answers
Answer:
The value of M is M I just kidding but the value of M is 4 Months because if you add 40 and 25 each time then eventually you would get 240$. Hope this helps please give brainlist. Please
Answer:
m= 4 months
Step-by-step explanation:
divide and subtract them numbers
FIANCE 50 HELP ASAP
Calculate the required return for a Company Z that has a beta of 1.4 if the market risk premium is 9% and the risk-free rate is 4%.
Answers
Calculate the risk measure (beta) compared to the returns of asset and market premium.
1.4 = 4 + 9((rm^-4)
1.4 = 9rm ^-32
33.4 = 9rm
Rm = 3.71
The answer is 3.71
why does cutliest give me wrong answers =(
Answers
PLEASEEEE HELPPPPPPPPPPPPPPPPPPPP
Answers
A pair of shoes is on sale for 15% off.With this discount,customers will save $9 if they buy the shoes.What was the original price of the shoes?
Answers
15 percent off 9.00 is 7.65
Step-by-step explanation:
The difference is 1.35
A large farm tractor costs $98,424. If a farmer makes 36 equal payments, how much is each payment
Answers
Answer:
$2734
Step-by-step explanation:
$98,424 / 36 = $2734
Un banco de México es comprado por otra institución de origen español. El nuevo director, decide fusionar la operación entre ambas instituciones donde se aprovisionen servicios de internet desde España a México. Para lograr lo anterior, ¿qué debe plantear el director como proyecto para unir ambas operaciones?
Answers
Question:
A bank in Mexico is bought by another institution of Spanish origin. The new director decides to merge the operation between both institutions where internet services are provided from Spain to Mexico. To achieve this, what should the director propose as a project to unite both operations?
My mom translated this for me and I am writing the reply with Google Translate sorry if it sucks.
Ésta es una pregunta muy específica. Creo que dependería de la preferencia del director y de los fondos.
Please hurry please
Answers
Answer:yes
Step-by-step explanation:
44/4=11
11 is less than 27
Solve five and three sixths minus two and one third.
(GIVING BRAINLIEST AND EXTRA POINTS ON THIS ONE!! PLS HELP ASAP!)
A) Two and three eighteenths
B) two and two ninths
C) three and two ninths
D) three and three eighteenths
(Here is an image if needed) :
Answers
Answer:
3 3/18
Step-by-step explanation:
5 3/6-2 1/3
We first need to turn our mixed numbers into fractions by multiplying the while number by the denominator, then adding the numerator. When we do this, 5 3/6 turns into 33/6 and 2 1/3 turns into 7/3. Now we have this:
33/6-7/3
Now we need to find the Least common multiple of the denominators in order to find our common denominator, which in this case is 6. 33/6 already has a denominator of 6, so we do not need to do anything to it. To give a denominator of 6 to 7/3, however, we must multiply by 2, giving us this:
33/6-14/6
Now we can subtract the numerators.
19/6
To turn this back into a mixed number, we divide 19 by 6, which gives us 3 with a remainder of 1. Therefore, our answer is 3 1/6. This is an equivalent fraction to the fourth answer, 3 3/18.
HTH :)
Answer:
3 3/18
Step-by-step explanation:
V = 4 + at, solve for A
Answers
Answer:
a=v-4
Step-by-step explanation:
The regular price of an item is $109.99. It is marked 25% off. Find the discount and the sale price to the nearest cent.
Answers
Answer:
The discount price is $27.50
The sale price of item is $82.49
Step-by-step explanation:
Regular price of item = $109.99
Discount = 25%
We need to find discount and the sale price to the nearest cent.
Finding Discount Price
First we need to find 25% of 109.99 which is the discount price
[tex]25\% \ of \ 109.99\\=\frac{25}{100}*109.99\\=27.50[/tex]
The discount price is $27.50
Now, finding Sale price
Sale Price= Regular Price - Discount Price
Sale Price= 109.99 - 27.50
Sale Price = 82.49
The sale price of item is $82.49
4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= -16? + 1500 gives the jumper's height hin feet during the free fall att seconds
a. How long is the jumper in free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h? no
Answers
Answer:
Step-by-step explanation:
Given function is h(t) = -16t² + 1500
a). For h(t) = 1000 feet,
1000 = -16t² + 1500
1000 - 1500 = -16t² + 1500 - 1500
-500 = -16t²
t² = [tex]\frac{500}{16}[/tex]
t = [tex]\sqrt{31.25}[/tex]
t = 5.59 sec
b). For h(t) = 940 feet,
940 = -16t² + 1500
940 - 1500 = -16t² + 1500 - 1500
-16t² = -560
t² = [tex]\frac{-560}{-16}[/tex]
t = [tex]\sqrt{35}[/tex]
t = 5.92 sec
c). For domain and range of the function,
When the jumper comes down to the ground,
h = 0
0 =-16t² + 1500
t² = [tex]\frac{1500}{16}[/tex]
t = [tex]\sqrt{93.75}[/tex]
t = 9.68 sec
Since, x-values on the graph vary from x = 0 to x = 9.68,
Domain : [0, 9.68]
Vertex of the quadratic function: (0, 1500)
Since, coefficient of the highest degree term is negative, parabola will open downwards.
Therefore, y-values of the function will vary in the interval y = 0 to y = 1500
Range: [0, 1500]