Answer:
£80.33
Step-by-step explanation:
The formula for the Volume of a cylinder = πr²h
The diameter of a cylindrical column is 60cm and its height is 4.2m
Converting the diameter to meter
100 cm = 1 m
60 cm = x
Cross Multiply
100 × x = 60 × 1
x = 60/100
x = 0.6m
The diameter of the cylinder = 0.6m
Radius = Diameter/2
Radius = 0.6m/2
Radius = 0.3m
Volume of a cylinder = πr²h
= π × 0.3² × 4.2
= 1.18752 m²
Approximately = 1.19 m²
The cost of making it is £67.50 per cubic metre. What is the cost of making it?
The volume of the cylindrical column = 1.19 m²
Hence:
1m² = £67.50
1.19m² = x
Cross Multiply
x × 1m² = 1.19 m² × £67.50
x = 1.19 m² × £67.50/1 m²
x = £ 80.325
Approximately = £80.33
Therefore, the cost of making the cylindrical column = £80.33
A coastal geologist estimates that a certain country's beaches are
eroding at a rate of 1.5 feet per year. According to the geologist's estimate,
how long will it take, in years, for the country's beaches to erode by 21 feet?
A. 14 years
B. 31.5 years
C. 28 years
D. 16 years
If 150 miles is 25% of a race, what is the length of the entire race?
3,750 miles
600 miles
37.5 miles
6 miles
Answer:
600 miles
Step-by-step explanation:
150x4=600
-X + (1/2)y = 3
In slope intercept form
Answer:
moonano
Step-by-step explanation:
i cant figure out 5/4 divided by 3/5
Answer:
25/12 is the answer
I hope it helps you
Answer:
0.0833333333
Step-by-step explanation:
id.k if correct i just g00gled it
If it is true that z2 - 6 = 19, then z2 + 6 = ?
can someone please answer this question the person to get it right gets brainiest!
a + 6 + 3a + 5a2 + 2a + a2 + 1
Answer:
6a2 + 6a + 7
Step-by-step explanation:
Find the 10th term of the arithmetic sequence in which 12 and d = 9.1.
Answer:
The 10th term=93.9
Step-by-step explanation:
[tex]a_{10} =12+(n-1)9.1\\ = 93.9[/tex]
THE THREE SIDES OF A TRIANGULAR LOT
ARE MEASURED TO BE APPROXIMATELY 100.52
FT, 15.321 FT AND 143.250 FT LONG. FIND THE
APPROXIMATE PERIMETER OF THE LOT
Answer:
259.09 feet
Step-by-step explanation:
Given that,
The three sides of a triangular lot are measured to be 100.52 ft, 15.321 ft and 143.250 ft.
We need to find the perimeter of the lot.
We know that,
Perimeter = sum of all sides
P = 100.52 + 15.321 + 143.250
P = 259.09 feet
So, the required perimeter of the lot is 259.09 feet.
Simplify the following expression,
3 + 4(2b - 5)
Answer:
8b−17
HOPE I HELP BRAINLYY PLZZZ
The perimeter of a rectangle is 48 cm. The length is 3 times as long as the width.
What is the width of the rectangle?
A. 4cm B.6cm C.8cm D.12.cm
what is this 2x-5+22=?
Answer: 2x+17
Step-by-step explanation: add -5 and 22
______________________________
1.) Add −5 and 22:[tex]-5+22=17[/tex]
- You could also solve this by flipping the numbers around and subtracting 22 - 5, Which still gives you 17.
So your answer is [tex]\bold{(2x+17)}[/tex].
______________________________
Patrick drives from P to Q at an average speed of 40 mph . His drive back from Q to P is at an average speed of 45 mph and takes two minutes less.
How far, in miles, is it from P to Q?
Answer:
Distance=12 miles
Step-by-step explanation:
d=distance
t=time going
d/t=40 mph going
t-2/60=time returning (2 minutes/60 minutes per hour)
d/(t-2/60)=45 mph returning
set up equations:
d=40t
d=45(t-2/60)
substitute:
40t=45(t-2/60)
40t=45t-90/60
40t=45t-3/2
0=5t-3/2
5t=3/2
t=0.3 hours or 18 minutes
(time returning=16 minutes)
substitute:
d=40t=40(0.3)
d=12 miles
P and Q are 12 miles far from each other.
Given that
Patrick drives from P to Q at an average speed of 40 mph
Also he drives from Q to P at an average speed of 45 mph
Let "s" be the distance between P and Q in miles.
Let "t" be the time in minutes
There are 60 minutes in 1 hours
[tex]\rm So \;in \; "t" \; minutes \; there\; will\; be = \dfrac{t}{60} \ hours[/tex]
By the definition pf average speed we can write that
[tex]\rm Average \; Speed = \dfrac{Total \; distance }{Total \; time}\\[/tex]
The speed is given in two situations in miles per hour
Case 1 When average speed = 40 mph
[tex]\rm 40 = \dfrac{s}{t/60} \\\\\rm {40 = \dfrac{60s}{t} .....(1) }[/tex]
Case 2 When average speed = 45 mph
Given that Patrick takes two minutes less
[tex]\rm 45 = \dfrac{s}{(t-2)/60} \\\\45 = \dfrac{60s}{t-2 } ....(2)[/tex]
Solving for "s" from equations (1) and (2) gives us
[tex]\rm \bold {s = 12}}[/tex]
So we can conclude that P and Q are 12 miles far from each other.
For more information please refer to the link given below
https://brainly.com/question/21470320
9. Only 12 students can be in the next school play.
Let t represent the number of students who tried
out for the play. The number of students who tried
out but did not get a role is 42.
1
What is the slope of the line that passes through (2, 2) and (5,4)?
Answer:
The slope of the line= 2/3
Step-by-step explanation:
(2, 2)=(x, y) and (5, 4)=(`x, `y)
The formula for finding slope= `y-y/`x-x
4-2/5-2
2/3
Therefore, the slope=2/3
A hen has 50 eggs, she gives .5 to her hubby and they multiply that by 2 how much do they get
This question is just for fun :)
Answer: 50 lol it's the same
Step-by-step explanation: 50*.5 equals 25*2 equals 50 lol have a good day
Answer:
69
Step-by-step explanation:
it is a funny question
N2 + 3H2 → 2NH3
How many moles of NH3 could you make with 4.2021 g of N2?
2. 2Na + Cl2 → 2NaCl
How many moles of Cl2 do you need to use in order to react with 34.485 g of Na?
3. H2SO4 + 2NaNO2 → 2HNO2 + Na2SO4
How many grams of NaNO2 do you need in order to make 24.14714 g of Na2SO4?
4. 2Na + 2H2O → 2NaOH + H2
How many grams of NaOH could you make with 8.0465 g of Na?
5. 2Mg + O2 → 2MgO
If you are burning 5.8332 g of Mg, how many grams of MgO will this make?
6. FeCl3 + 3NaOH → Fe(OH)3 + 3NaCl
How many grams of NaCl could you make with 2.43306 g of FeCl3?
Step-by-step explanation:
1. N2 + 3H2 → 2NH3
How many moles of NH3 could you make with 4.2021 g of N2?
From the reaction;
1 mol of N2 produces 2 mol of NH3
1 mol of N2 = 14g of N2
14g of N2 produces 2 mol of NH3
4.2021 g of N2 produces x mol of NH3
14 = 2
4.2021 = x
x = 4.2021 * 2 / 14 = 0.6003 mol of NH3
2. 2Na + Cl2 → 2NaCl
How many moles of Cl2 do you need to use in order to react with 34.485 g of Na?
From the equation of the reaction;
2 mol of Na reacts with 1 mol of Cl2
1 mol of Na = 23g of Na
2 mol of Na - 46g of Na
46g of Na reacts with 1 mol of Cl2
4.485 g of Na reacts with x mol of Cl2
46 = 1
4.485 = x
x = 4.485 * 1 / 46 = 0.0975 mol of Cl2
3. H2SO4 + 2NaNO2 → 2HNO2 + Na2SO4
How many grams of NaNO2 do you need in order to make 24.14714 g of Na2SO4?
From the reaction;
2 mol of NaNO2 produces 1 mol of Na2SO4
2 mol of NaNO2 = 68.995 g/mol * 2mol = 137.99g
1 mol of Na2SO4 = 142.04 g
137.99g of NaNO2 produces 142.04 g of Na2SO4
xg of NaNO2 produces 24.14714 g of Na2SO4?
137.99 = 142.04
x = 24.14714
x = 24.14714 * 137.99 / 142.04 = 23.459g
4. 2Na + 2H2O → 2NaOH + H2
How many grams of NaOH could you make with 8.0465 g of Na?
From the reaction;
2 mol of Na produces 2 mol of NaOH
2 mol of Na = 23g/mol * 2mol = 46g
2 mol of NaOH = 40g/mol * 2 = 80g
46 g of Na produces 80g of NaOH
8.0465 g of Na produces xg of NaOH
46 = 80
8.0465 = x
x = 8.0465 * 80 / 46 = 13.994g
5. 2Mg + O2 → 2MgO
If you are burning 5.8332 g of Mg, how many grams of MgO will this make?
From the reaction;
2 mol of Mg produces 2 mol of MgO
2 mol of Mg = 24 g/mol * 2mol = 48g
2 mol of MgO = 40.3 g/mol * 2mol = 80.6g
48g of Mg produces 80.6 g of MgO
5.8332 g of Mg produces xg of MgO
48 = 80.6
5.8332 = x
x = 5.8332 * 80.6 / 48 = 9.8g
6. FeCl3 + 3NaOH → Fe(OH)3 + 3NaCl
How many grams of NaCl could you make with 2.43306 g of FeCl3?
From the reaction;
1 mol of FeCl3 produces 3 mol of NaCl
1 mol of FeCl3 = 162.2 g
3 mol of NaCl = 58.44 g/mol * 3 mol = 175.32 g
162.2g of FeCl3 produces 175.32 g of NaCl
2.43306 g of FeCl3 produces xg of NaCl
162.2 = 175.32
2.43306 = x
x = 2.43306 * 175.32 / 162.2 = 2.63g
Help me please!! Thank you:)
Answer:
4, 12, 20, 28, 36
Step-by-step explanation:
to find Y you have to multiple x times 4 then subtract by 4
example: x=2 so you do 2(4) - 4
2(4) is 8 and 8 - 4 is 4
y = 4 and so on
help please WILL GIVE BRAINLIEST TO RIGHT ANSWER!
Find the measure of the exterior angle in the following triangle. DUE SOON PLZ HELP WITH STEP BY STEP
Answer:
The measure of an exterior angle = 125°
Hence, option A is correct.
Step-by-step explanation:
As the given triangle is a right-angled triangle ΔABC.
Given the angles
m∠A = 35°m∠C = 90°We know that the sum of angles in a triangle is 180°.
Thus,
m∠A + m∠B + m∠C = 180°
substituting m∠A = 35° and m∠C = 90° in the equation
35° + m∠B + 90° = 180°
125 + m∠B = 180°
subtract 125 from both sides
125 + m∠B - 125 = 180° - 125
m∠B = 55°
Thus, the measure of angle B is:
m∠B = 55°
As the exterior angle of the given triangle is adjacent to m∠B = 55°.
We know that the exterior angle of a triangle is equal to the sum of two opposite interior angles.
Here,
∠A and ∠C are two opposite interior angles of the exterior angle.
Thus,
The measure of an exterior angle is equal to the sum of two opposite interior angles.
as
m∠A = 35°m∠C = 90°so
Exterior angle = m∠A + m∠C
= 35° + 90°
= 125°
Thus, the measure of an exterior angle = 125°
Hence, option A is correct.
All triangles are equal to ______ degrees
Answer:
180
Step-by-step explanation:
Rose was tracking the movements of a rabbit and plots the movements of the rabbit on this graph.
Calculate the fastest speed that Rose observes the rabbit move.
Answer:
2.25 m/sStep-by-step explanation:
Looking at the graph, we observe that the interval CD is when the speed was the fastest
Let's calculate this, use points C(4,3), D(12,12)
(12 - 3)/(12 - 8) = 9/4 = 2.25 m/sFind the 5th term of the arithmetic sequence -5x – 9, 2x – 14, 9x – 19,...
Suppose a city with population 600,000 has been growing at a rate of 4% per year. If this rate continues, find the population of this city in 15 years
Answer:
360,000
Step-by-step explanation:
Alright so first we need to find 4% of 600,000
So we get 24,000 now we multiply this by 15
24,000 x 15 = 360,000
Hope this helps
F (x) = 3x+2 find f(-4)
Answer:
Step-by-step explanation:
The solution of 25x=300 is
Answer:
The solution of 25x = 300 is 12 . The solution of 25x > 300 is all values greater than 12 .
Step-by-step explanation:
Since the solution to 12x = 300 is 12, any number that is greater than 12 will also be a solution!
The probability of an event is 0.001.
Which of the following best describes the event?
A The event will never occur.
B There is a small chance that the event will occur.
C The event is likely to occur.
D The event will definitely occur.
B
Step-by-step explanation:
it would be a if the chance was 0.000 but it's 0.001 so there is a very very small chance of it happening
Answer:
Step-by-step explanation:
0.001 means 1/1000
The answer depends on what is being described.
If you are putting money into a lottery if you got odds of 1 in a 1000, you'd jump for joy at such good odds.
If you are putting money into the stock market and the chances of getting any kind of return is 1/1000, I think you'd start looking for something else to do.
That said, I think the answer you want is B, but I'm not fond of the question.
An airplane can stay in the air for 6 hours..it has been in the air for 2.5 hours
Line L is shown in the coordinate plane.
What are the coordinates of D?
Answer:
The coordinates of D is actually (8,10)
Step-by-step explanation:
8,10
did the math by counting up with y and x axis
Answer:
y = (5x) / 4 <----Line l
Step-by-step explanation:
(y - 5)(8 - 4)=(x - 4)(10 - 5)
4y - 20 = 5x - 20
If anyone willing to help, I'll be glad :)
Answer:
22
Step-by-step explanation:
Since its a parallelogram, opposite sides are congruent. Therefore:
BC = AD
a - 1.5 = 20.5
+1.5 +1.5
a = 22
Answer:
a=22
Step-by-step explanation:
a-1. 5 =20. 5 ( opposite side of parallelogram are equal )
or, a=20. 5+1. 5
or, a=22
you can do it from another side too.
2a-20. 8 = a + 1. 2 ( opposite side of parallelogram are equal )
or, 2a - a = 1. 2 + 20. 8
or, a = 22
Hope it will help you ☺✌