Answers
Answer:
1. The volume of the cylinder is approximately 0.153 m³
2. 25 cm
3. [tex]25.\overline 6 \ cm[/tex]
4. 16 m
5. 1,785 m³
Step-by-step explanation:
The volume of a solid can be found by the product of the uniform cross-sectional area of the solid and the (continuous) length of the solid
1. The uniform cross-sectional area of the given cylinder = The area of the circle at the base or top
The dimension of the diameter of the circle at the top of the cylinder, d = 50 cm = 0.5 m
The area of the circular cross-section, A = π·d²/4
∴ A = π × 0.5²/4 = 0.0625·π
A = 0.0625·π m²
The height of the cylinder, h = The continuous length of the circular cross-section = 78 cm = 0.78 m
∴ The volume of the cylinder, V = A × h
∴ V = 0.0625·π × 0.78 = 0.04875·π ≈ 0.153
The volume of the cylinder, V ≈ 0.153 m³
2. The given volume of the trapezium, V = 8550 cm³
The length of the short and long parallel sides 'a', and 'b', are 17 cm and 21 cm respectively
The height of the trapezium from the diagram, h = 18 cm
The cross-sectional area of the trapezium, 'A', is found as follows;
A = (17 cm + 21 cm)/2 × 18 cm = 342 cm²
The volume of the trapezium, V = The cross-sectional, A × The (missing) length, 'l' of the trapezium
∴ l = V/A
By substitution, we have;
l = 8550 cm³/(342 cm²) = 25 cm
∴ The Missing Length, l = 25 cm
3. The given volume of the solid having a uniform cross-sectional area is, V = 385 cm³
The area of the (uniform) cross-section of the solid, A = 15 cm²
∴ The length of the solid, 'l', from V = A × l, is given as follows;
l = V/A
∴ l = 385 cm³/(15 cm²) = 25.[tex]\overline 6[/tex] cm
The length of the solid, l = 25.[tex]\overline 6[/tex] cm
4. From the diagram, we have;
The cross-sectional area of the solid, A = 216 m²
The length of the solid, l = 16 m
5. The cross-section of the solid can can be assumed to be either;
1. A trapezium from which a rectangle has been removed of dimensions 8 m by 9 m.
2. A triangle located above a rectangle
For scenario one, we have;
The cross-sectional area, A = (12.5 + 9)/2 × 15 - 8 × 9 = 89.25
For scenario two, we find 'A' as follows;
A = 7 × 9 + 1/2 × 15 × 3.5 = 89.25
∴ The cross-sectional area of the solid, A = 89.25 m²
The length, 'l', of the solid, is given as l = 20 m
The volume of the solid, V = A × l
∴ V = 89.25 m² × 20 m = 1,785 m³
The volume of the solid, V = 1,785 m³.
Related Questions
Colorado Springs sales tax is 8%. If you bought a sweatshirt for $20
(Remember money always has two decimal places: $0.00)
the amount of sales tax would be: $
the total purchase amount would be: $
Answers
Answer:
the amount of sales tax and the total purchase amount is $1.60 and $21.60 respectively
Step-by-step explanation:
Given that
The sales tax rate is 8%
And, the purchase price of sweatshirt is $20
We need to find out the sales tax and the total purchase amount
The sales tax is
= $20 × 8%
= $1.60
And, the total purchase amount is
= $20 + $1.60
= $21.60
Hence, the amount of sales tax and the total purchase amount is $1.60 and $21.60 respectively
Find the distance between the two points rounding to the nearest tenth (if necessary).
(6,-6) and (2,-2)
Answers
Answer:
The answer is 5.7
Step-by-step explanation:
To find the answer you would use the distance formula
[tex]\sqrt({x}_{2} -{x}_{1 )^{2} + (Y_{2} - Y_{1})^{2}[/tex]
The square root of X2 minus X1 plus Y2 minus Y1
You are given 2 points which means that you have your Xs and Ys needed.
We will use (6,-6) as our X and Y 1
We will use (2,-2) as our X and Y 2
Now all you do is plug in the numbers
[tex]\sqrt{2-(6)} + \sqrt{-2-(-6)}[/tex] Square them both
Simplify
[tex]\sqrt{-4} ^2+\sqrt{-4}^2[/tex]
Simplify again
-4 *-4 =16
4*4= 16
16+16= 32
Your answer is[tex]\sqrt{32}[/tex]
Or simplified 5.656
YOUR ANSWER IS: 5.7
Can someone please help me
Answers
Answer:
x = 13
Step-by-step explanation:
Vertical angles (angles that share a vertex point) have equal measure.
So 2x + 6 = 32
2x = 26
x = 13
can someone tell me the answer pls ill give brainlist and points i have to solve each system by substitution
Answers
Answer:
It's 3 I think
Make me brainly
Which property of real numbers is this an example of? (2 + 5) + 4 = 2 + (5 + 4)
Answers
Answer:
Associate
Step-by-step explanation:
Jon 3.
Five members of a punk band were at the local skatepark, signing autographs. The table below shows
the number of autographs signed by each band member during the first hour. Which scatter plot
matches the table?
Answers
Answer:
. The table below showsthe number of autographs signed by each band member during the first hour. Which scat
Step-by-step explanation:
Answer:
W
Step-by-step explanation:
the answer is w because it matches the points on the dot.
If t varies 1/s and t=2 when s=60 find the relationship between t and s, b, find the value of t when s=90 c, find s when t=2,1/2
Answers
Answer:
[tex]t = k \frac{1}{s} \\ 2 = k. \frac{1}{60} \\ k = 120 \\ k \: \: is \: constant \: of \: variation \\ relationship \: is \\ t = \frac{120}{s} . \\ when \: s \: = 90 \\ t = \frac{120}{90} \\ t = \frac{4}{3} \\ when \: t = 2 \frac{1}{2} \\ s = \frac{120}{2 \frac{1}{2} } \\ s = 48[/tex]
Help please it’s annoying
Answers
Please help me I do not understand this lolll
Answers
Answer:
I do not understand this either lolll lolll
but I guess eq 1 = D
EQ 2 = B
EQ 3 = A
EQ 4= C
Help! This is due today and I'm stuck on this problem.
Brainiest for best answer.
NO LINKS! If you put a link, I will report you.
Find the area of the regular hexagon round answer to the nearest tenth.
Answers
Answer:
280.6 [tex]m^2[/tex]
Step-by-step explanation:
find the length of each side:
you're only given h = 9 m
the formula for h is [tex]h=\frac{\sqrt{3} }{2} *a[/tex], where a is a side length of the hexagon
plug h in:
[tex]9=\frac{\sqrt{3}}{2}*a\\\\a=9*\frac{2}{\sqrt{3}}\\\\[/tex]
a ≈ 10.392 m
now find the area of a triangle:
1/2 (10.392)(9) = 46.764 [tex]m^2[/tex]
multiply that by 6 and you get 280.584 ≈ 280.6 [tex]m^2[/tex]
you can also use the regular hexagon area formula instead of finding the individual area and multiplying by 6: [tex]\frac{3\sqrt{3} }{2} *a^2[/tex]
Whats y=-4(x+1)^2-5 in standard form
Answers
Answer:
y = - 4 (x+ 1)^2 - 5 in standard form is
y = -4x^2 - 8x - 9
Answer:
4x^2 − 8x + 9
Eleven of 25 kids watch T.V. before falling sleep. What percent of kids watch T.V. before falling asleep?
Answers
Answer:
44%
Step-by-step explanation:
6. Which expression is equivalent to -21 + 28x?
Answers
-28x^2+35x
take the common,
-7x(4x-5)
The answer is -7x(4x-5)
Here,
If we solve,
-7x(4x-5)
Then, the answer would be:
= -7x*4x+7x*5
= -28x^2+35x
Hope it helps
Good luck on your assignment
The number 652.734 written in expanded form is (6 × 100) + (5 × 10) + (2 × 1) + (7 × 1 10) + (3 × 1 100 ) + (4 × 1 1000). Suppose you want to write the number 473.892 in expanded form. Which statements are correct? Select two that apply. A.7 should be multiplied by 100. B.8 should be multiplied by 1 10. C.3 should be multiplied by 1. D.2 should be multiplied by 1 100.
Answers
Answer:
3 x 1 and 8 x 1/10
Step-by-step explanation:
The value of a piece of land in a town is
increasing every year. Its value, in dollars, t
years after 1970 and until 2001 can be modeled
by the function 31,000(1.001). What is the
domain of the function?
OA. All whole numbers greater than or equal to
1971 and less than or equal to 2001.
OB. All real numbers greater than or equal to
1971 and less than or equal to 2001.
c. All non-negative real numbers less than or
equal to 31.
OD. All whole numbers less than or equal to 31
Answers
Answer:
B. All real numbers greater than or equal to 1971 and less than or equal to 2001.
Step-by-step explanation:
Correct me if I'm wrong
A car travels 955.9 km in 8 hours. How far does the car travel in 20.4 hours if the speed of the car remains constant?
Answers
Answer:
2437 km
955.9km in 8 hours. so every hour the car travels 955.9÷8=119.48 km
119.48×20.4=. 2437.392
what is the area of this figure?
Answers
Convert the following angle from degrees to radians. Express your answer in simplest
form.
150°
Answers
Hey can yall help me
what's 9+10+2=
Answers
Answer:
21
Step-by-step explanation:
: P
Answer:
21
Step-by-step explanation:
umm that's kindergarten math-
What would the answer to this question be?
A. 40°
B. 60°
C. 80°
D. 100°
Answers
Answer:
D. 100°
Step-by-step explanation:
A straight line is 180°. Add 50° and 30° (which is 80°) and subtract the total from 180°.
50 + 30 = 80
180 - 80 = 100
Answer:
These angles form a straight line, so they are supplementary angles.
We know that, supplementary angles form 180°.
[tex]50 + x + 30 = 180 \\ 50 + 30 + x = 180 \\ 80 + x = 180 \\ x = 180 - 80 \\ x = 100[/tex]
=> So, the missing angles is 100°
What is the area of this triangle?
Answers
Answer:
The area of this triangle is.. [tex]30 in^2[/tex]
Step-by-step explanation:
6 x 10 divided by 2 = 30
Answer:
30 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 6 and h = 10 , then
A = [tex]\frac{1}{2}[/tex] × 6 × 10 = 3 × 10 = 30 cm²
Find the next term of the following sequence.
9, 6, 4, .....
PLEASE HELP ASAP
Answers
Answer:
[tex]common \: difference \: decreases \: by \: 1\\ next \: term = 4 - 1 \\ = 3[/tex]
Is (8, 3) a solution to the system?
- 2 + 4y = 4
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Answers
Answer:
No, it's not a solution.
Step-by-step explanation:
-2 + 4(3) = 4
-2 + 12 = 10
-2 + 3(3) = 1
-2 + 9 = 7
When
1
3
k
+
1
4
k
=
1
, what is the value of k ?
1
7
1 seventh
12
7
12 sevenths
7
2
7 halves
6
6
12
Answers
Answer:
[tex] \frac{1}{3} k + \frac{1}{4} k = 1 \\ \frac{4k + 3k}{12} = 1 \\ 7k = 12 \\ k = \frac{12}{7} [/tex]
is youranswer
A bottling company produces 7,200 cans of iced tea per day. How many 12-can cartons can be filled?
Answers
Answer:
600 cartons
Step-by-step explanation:
Can you please help me with these questions in this link!
https://www.geogebra.org/classroom/ayzub3c4
Answers
Answer:
which question you need answered
Step-by-step explanation:
What is 5+5 and how do you do 5 times 5 NEED HELP and brainiest
Answers
Answer:
5+5=10
5•5=25
Step-by-step explanation:
What is the first step when designing an algorithm?
Think about what could go wrong.
Consider changes that might happen.
Look at the big picture.
Look at what steps will be repeated.
Answers
Answer:
Look at the big picture.
Step-by-step explanation:
When creating an algorithm you should look at the big picture because it helps you understand what you need to do to correctly set up the algorithm.
Answer:
Look at the big picture.give the other person brainliest :]Gilberto invests $10,000 in a savings account that pays 4.75% simple interest. If Gilberto
makes no withdrawals or deposits to the account, how much will be in the account after 7
years?
A. $3,325
B. $13,325
C. $13,838.16
D. $13,000
Answers
Answer: B. $13,325
:)
WHAT IS THE ANSWER TO THIS AND WHY THANK YOU!
[tex](−1+√5) \div 2[/tex]
Answers
Answer:
get the app on your phone and scan it it should give u the correct answer