Answer:
Diameter = 14 units
Step-by-step explanation:
Volume ofa cylinder = πr²h
Volume of the cylinder = 245π cubic units
Height = 5 units
Volume of a cylinder = πr²h
245π = π × r² × 5
245π = 5r²π
Divide both sides by π
245π / π = 5r²π / π
245 = 5r²
r² = 245/5
= 49
r² = 49
r = √49
r = 7 units
Diameter = 2 × radius
= 2 × 7 units
= 14 units
Diameter = 14 units
H:36 is the same ratio as a:e
Answer:
super find out how many of
10-
10
A. Exponential growth
B. Linear increasing
C. Exponential decay
D. Linear decreasing
Which represents an exterior angle of triangle ABF?
∠BAD
∠AFE
∠CAD
∠CAB
Answer:
∠CAB
Step-by-step explanation:
Exterior angles include two corner points and one point not on the triangle. Thus, ∠CAD would be an exterior angle.
Answer:
Step-by-step explanation:
A triangle has 3 interior angles. In this case, they are
<ABF
<BFA
<FAB
An exterior angle is the supplement of one of the angles. In this case, there is only 1 angle that qualifies -- <CAB which is the supplement of BAF.
All the other choices are not supplements to any of the interior angles such as
<BAD
<AFE
<CAD
A hatbox in the shape of a cylinder is modeled below the diameter of the cylinder is 24 inches the height of the cylinder is 8 inches what is the volume of the cylinder?
Answer:
3619.11 in³Step-by-step explanation:
Cylinder volume:
V = πr²hSubstitute values:
V = π(24/2)²*8 = 3619.11 in³As we know the,
General formula for volume of cylinder,
→ V = πr²h
Now we can find,
The volume of the cylinder,
→ πr²h
→ π(24/2)² × 8
→ π × 12² × 8
→ 3619.11 in³
Hence, volume of cylinder is 3619.11 in³.
6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface area, in cm², that needs to be painted? (Take pi to be 3.142.)
7. A tank in the shape of a cylinder of diameter 2.4 m and height 6.4 m contains oil to the brim. Find the number of complete cylindrical containers of base radius 8.2 cm and height 28 cm which can be filled by the oil in the tank.
Please help with the 2 questions. thank you!!
Unhelpful answer will be deleted ❌
Correct answer + with explanation will be chosen as the Brainliest Answer ✅
Answer:
4,895 containers
Step-by-step explanation:
The number of the wooden closed cylinders to be painted, n = 200
The diameter of each cylinder, d = 35 mm = 3.5 cm
The height of each cylinder, h = 7 cm
The surface area of each closed cylinder, A = 2·π·d²/4 + 2·π·(d/2)·h
Where, π = 3.142, we get;
A = 2 × 3.142 × 3.5²/4 + 2 × 3.142 × (3.5/2) × 7 = 96.22375
The surface area of each cylinder, A = 96.22375 cm²
The total surface area, [tex]A_T[/tex] = n × A
∴ [tex]A_T[/tex] = 200 × 96.22375 = 19,244.75
The total surface area that needs to be painted, [tex]A_T[/tex] = 19,22375 cm²
7. The base diameter of the tank, d₁ = 2.4 m = 240 cm
The height of the tank, h₁ = 6.4 m = 640 cm
The base radius of each cylinder container, r = 8.2 cm
The height of each cylindrical container, h₂ = 28 cm
The number of cylindrical containers which can be filled by the oil in the tank, n, is given as follows;
n = (The volume of the tank)/(The volume of a cylinder)
The volume of the tank, V₁ = π·(d²/4)·h₁
∴ V₁ = π × (240²/4) × 640 = 9216000·π
The volume of the tank, V₁ = 9216000·π cm²
The volume of a cylinder, V₂ = π·r²·h₂
∴ V₂ = π × 8.2² × 28 = 1,882.72·π
The volume of a cylinder, V₂ = 1,882.72·π cm²
The number of containers, n = 9216000·π/1882.72·π ≈ 4,895.045
Therefore, the number of complete cylindrical containers that can be filed by the oil in the tank, n = 4,895 containers
Answer:
6) About 19,244.75 square centimeters.
7) About 4895 containers.
Step-by-step explanation:
Question 6)
We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.
First, since the diameter is 35 mm, this is equivalent to 3.5 cm.
The radius is half the diameter, so the radius of each cylinder is 1.75 cm.
Recall that the surface area of a cylinder is given by the formula:
Where r is the radius and h is the height.
Therefore, the surface area of a single cylinder will be:
Then the total surface area for 200 cylinders will be:
Question 7)
We know that the tank has a diameter of 2.4 m and a height of 6.4 m.
Since its diamter is 2.4 m, then its radius is 1.2 m.
Find the total volume of the tank. The volume for a cylinder is given by:
Since r = 1.2 and h = 6.4:
Each container has a base radius of 8.2 cm and a height of 28 cm.
So, the radius of each container is 0.082 m and the height is 0.28 m.
Then the volume of each container is:
Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:
When Zero added to any integer, what is the result?
Answer:
answer will be the integer only which was added to zero
Please Help
cube root√(a+b)^-7 * (a+b)^1/3
I have also send photo of question please check
[tex]\sf\huge\underline\red{SOLUTION:}[/tex]
[tex]\sf\rightarrow \sqrt[3]{ {(a + b)}^{ - 7} } \times {(a + b)}^{ \frac{1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 7}{3} } {(a + b)}^{ \frac{1}{ 3 } } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ - \frac{7}{3} } {(a + b)}^{ \frac{1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ - \frac{7}{3} + \frac{1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 7 + 1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 6}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{3 - 2}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{3 \times - 2}{3(1)} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{3 \times - 2}{3 \times 1} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 2}{1} } [/tex][tex]\rightarrow\sf {(a + b)}^{ - 2} [/tex][tex]\red\rightarrow\large\boxed{\sf{\red{ \frac{1}{ {(a + b)}^{2} } }}}[/tex][tex]\sf\huge\underline\red{ANSWER:}[/tex]
[tex]\red\rightarrow\large\boxed{\sf{\red{ \frac{1}{ {(a + b)}^{2} } }}}[/tex]✍︎☘︎ᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴ☘︎
✍︎ꕥᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢꕥ
Answer:
ハハハハハハハバカあなたも答えがわからない質問でも簡単に黙ってバカバカバカバカゴッド
plz help ASAP with explanation
[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]
Write in the form a to the power of k, where a is a prime number and k is rational
[tex]\sqrt[4]{27}[/tex]
Answer:
[tex]{ \tt{27 = {3}^{3} }} \\ { \tt{}} \sqrt[4]{27} = {27}^{ \frac{1}{4} } \\ { \tt{ = {3}^{3( \frac{1}{4}) } }} \\ = { \tt{ {3}^{ \frac{3}{4} } }} \\ { \boxed{ \bf{a = 3 \: \: and \: \: k = \frac{3}{4} }}}[/tex]
the solution of the quadratic equation x square - 4 x + 4
Answer:
[tex]\rm x = 2 , 2 [/tex]
Step-by-step explanation:
A quadratic equation is given to us and we need to find the solution of the equation. The given equation is ,
[tex]\implies x^2 -4x + 4 = 0 [/tex]
Now for finding the roots of the equation , let's use the quadratic formula , or by factorising out the equation . Here I would be using the factorization method , as ,
[tex]\implies x^2 -4x + 4 = 0\\\\\implies x^2-2x-2x+4 = 0 \\\\\implies x(x-2) -2(x-2) = 0 \\\\\implies (x-2)(x-2) = 0 \\\\\implies x = 2, 2 [/tex]
Hence the Solution of the equation is 2,2.
Answer:
Step-by-step explanation:
x² - 4x +4 = 0
Factorization method:
Sum = -4
Product = 4
Factor = (-2) ; (-2) {-2 * -2 = 4 & (-2) + (-2) = -4}
x² -4x + 4 = 0
x² - 2x - 2x + (-2)*(-2) = 0
x(x - 2) - 2 (x - 2) = 0
(x - 2) (x - 2) = 0
x - 2 = 0 or x -2 = 0
x = 2 or x = 2
x = 2 , 2
A small point deduction applies if a participation activity's question is not answered correctly the first time?
Answer: False
Step-by-step explanation:
There is no such deduction when a participation's questions are not answered correctly the first time. Whatever answer is given is part of the learning curve and ensures that the activity can be improved upon.
Had there been a small point deduction then there would be no opportunity to learn because there would be too much fear associated with the wrong answer.
Moses and Louis ran laps after school to train for the basketball team. The ratio of the number of laps Moses ran to the number of laps Louis ran was two to three.
If Moses ran 8 laps, how many laps did Louis run?
Answer:
Moses ran 8 Luis ran 12.
Step-by-step explanation:
.
Number of laps to Louis run is 12 when Moses ran 8 laps.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio of the number of laps Moses ran to the number of laps Louis ran = 2 : 3
Now,
Since, The ratio of the number of laps Moses ran to the number of laps Louis ran = 2 : 3
So, Number of laps Moses ran = 2x
And, Number of laps Louis ran = 3x
If Moses ran 8 laps.
Then, we get;
2x = 8
x = 4
Then, Number of laps Louis ran = 3x
= 3 × 4
= 12
Thus, Number of laps to Louis run is 12 when Moses ran 8 laps.
Learn more about the ratio visit:
https://brainly.com/question/25927869
#SPJ2
what is the answer to this?
Answer:
any number
Step-by-step explanation:
It is because all real numbers are solutions to this
Answer:
x = infinite solutions
Step-by-step explanation:
[tex]\frac{2}{3}(6x+ 3) = 4x + 2\\\\\frac{12}{3}x + \frac{2 \times 3}{3} = 4x + 2\\\\4x + 2 = 4x + 2 \\\\Which\ is \ true \ for \ all \ values \ of \ x.[/tex]
Someone to help me with these math problems please !!!
Answer:
square tables
round tables
12
Step-by-step explanation:
is this really that difficult ?
just think logically.
a square table sits 8 people. that means every square table "stands" for 8 people present.
a round table sits 6 people. so, every round table "stands" for 6 people present.
now, the whole party has 150 people.
that means the sum of all people on all tables is 150.
so, if we count all square tables, we know how many people are sitting at square tables, as each table "stands" for 8 people (we multiply the number of square tables by 8).
similar for the round tables.
so, we say we have x square tables and y round tables.
therefore the equation is
150 = 8×x + 6×y
the variable with the factor 8 must be describing the square tables (due to the reasons above).
that is x.
and the variable with the factor 6 must describe the round tables.
that is y.
now we are told that there are 9 round tables (y=9).
using the equation from above
150 = 8×x + 6×9 = 8×x + 54
96 = 8×x
x = 12
so, we must have 12 square tables to satisfy the condition that we have in total 150 people present.
How do I do this problem?
Step-by-step explanation:
here is the answer to your question
Answer:
Step-by-step explanation:
I would start from the beginning and find the slope myself, just so I know what's going on (as opposed to being dropped in the middle of the problem). The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and for us:
[tex]m=\frac{5-3}{4-3}=2[/tex] so the slope is indeed 2. Now we need to write the equation in slope-intercept form. I find it easier to first write the equation in point-slope form and then solve it for y. Point-slope form is
[tex]y-y_1=m(x-x_1)[/tex] where m is the slope (2) and x1 and y 1 are from one of the coordinates (whichever one you want; as long as you do the math correctly, you will NOT get an incorrect answer. In other words, you can't pick the "wrong" point to use to write the equation.) I'm going to use (3, 3):
y - 3 = 2(x - 3) and
y - 3 = 2x - 6 and
y = 2x - 6 + 3 so
y = 2x - 3 and that's your equation. Of course, you will enter a (-3) in that box with the ? in it.
I need help with my math work!!!!!!
Answer:
The answer is the first one
Step-by-step explanation:
In one week, Alex worked 35 hours at $ 12.50 per hour plus 5 hours overtime at 'time and half'. How much would Alex have earned for the week? *
Which choices are equivalent to the expression below? check all that apply. 2x+3x+4x
A. 9x
B. (2+3+4)x
C. 9
D. (9)^(3) or 9x to the third power
Answer:
A. 9x
B. ( 2 + 3 + 4 ) x
Step-by-step explanation:
2x + 3x + 4x = 9x
2x + 3x + 4x
= ( 2 + 3 + 4 ) x
A couple plans to have 3 children, what is the probability that atleast two will be boys?
1/4 or 25 percent because there is a 1/2 chance to get a boy or girl so the probability that will be boys us 1/2 x 1/2= 1/4
A cubic polynomial with zeros at -2, 1, and 4 passes through (2, -56). What is the
leading coefficient of the polynomial?
Answer:
6, -5 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the cubic polynomial in standard form.
Can someone help me with this question
Answer:
Kenji is wrong
Step-by-step explanation:
3⁵ · 4⁵ = (3 · 4)⁵ = 12⁵
but 12¹⁰ ≠ 12⁵
so , kenji is wrong
I Am offline or Raindowsalt please answer this !
❀ [tex]\huge\underline{ \underline{Solution :-}}[/tex]
[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} )[/tex]
To solve, use the algebraic identity ➺
(x + a)( x + b) = x² + (a + b)x + ab[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} ) \\ = ({y}^{2}) ^{2} + ( \frac{5}{7} + - \frac{14}{5} ) {y}^{2} + \frac{5}{7} \times - \frac{14}{5} \\ = {y}^{4} - \frac{73}{35} {y}^{2} - 2[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
2+2
f re e
points or whatever
Answer:
2+2 = 4
Step-by-step explanation:
Hope this helps.
Answer:
2 + 2 is 4 my guy
Step-by-step explanation:
thx for the points
Can someone help I don’t know how to do this
Answer:
slope is zero
Step-by-step explanation:
This is a horizontal line parallel to the x- axis
Since the slope of the x- axis is zero then the slope of the line is zero
Answer:
its slope is zero
Step-by-step explanation:
the slope of a line is simply the ratio between y- and x-change from one point of the line to another.
you can express it as y/x.
e.g. 5/2 - meaning that when x changes by 2 units, y changes by 5 units (so, it goes up steeply).
now, the line in the graph is just a flat line. no matter how many units we change x and move to the right, y won't change and simply stay at 2.5.
so, 0 change in y.
and the slope is 0/"delta x" for "delta x">0
all that means the slope is 0, as 0 divided by anything is always 0.
the function for that line is therefore
y = 0×x + 2.5 or simply
y = 2.5
and the factor of x (in this case 0) is always the slope of the line.
I need the answer ASAP anyone could help me please
Answer:
Is it the answer is C?
2+4+3+5+1=15
write a linear equation that passes through the point (2,-9) and has a slope of -5
Answer:
y = -5x + 1Step-by-step explanation:
Given:
The slope m = -5 and point (2, -9)Use point slope form:
y - y₁ = m(x - x₁), where (x₁, y₁) is the given pointSo the equation is:
y - (-9) = -5(x - 2)y + 9 = -5x + 10y = -5x + 1WILL PICK BRAINLIEST
A 2-column table with 7 rows. Column 1 is labeled x with entries 2.1, 2.5, 2.7, 3.1, 3.4, 3.9, 4.2. Column 2 is labeled y with entries 30, 36, 34, 38, 39, 42, 41.
Which best describes the data in the table?
There are no outliers, but there is a cluster.
There is a cluster and outliers.
There are no clusters or outliers.
There are no clusters, but there are outliers.
Answer:
A
Step-by-step explanation:
Just did it
Answer:
c
Step-by-step explanation:
The semicircle shown at left has center X and diameter W Z. The radius XY of the semicircle has length 2. The chord Y Z has length 2. What is the area of the shaded sector formed by obtuse angle WXY?
[tex] {\bold{\red{\huge{\mathbb{QUESTION}}}}} [/tex]
The semicircle shown at left has center X and diameter W Z. The radius XY of the semicircle has length 2. The chord Y Z has length 2. What is the area of the shaded sector formed by obtuse angle WXY?
[tex]\bold{ \red{\star{\blue{GIVEN }}}}[/tex]
RADIUS = 2
CHORD = 2
RADIUS --> XY , XZ , WX
( BEZ THEY TOUCH CIRCUMFERENCE OF THE CIRCLES AFTER STARTING FROM CENTRE OF THE CIRCLE)
[tex]\bold{\blue{\star{\red{TO \: \: FIND}}}}[/tex]
THE AREA OF THE SHADED SECTOR FORMED BY OBTUSE ANGLE WXY.
[tex] \bold{ \green{ \star{ \orange{FORMULA \: USED}}}}[/tex]
AREA COVERED BY THE ANGLE IN A SEMI SPHERE
[tex]AREA = ANGLE \: \: IN \: \: RADIAN \times RADIUS[/tex]
[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]
Total Area Of The Semi Sphere:-
[tex]AREA = \pi \times radius \\ \\ AREA = \pi \times 2 = 2\pi[/tex]
Area Under Unshaded Part .
Given a triangle with each side 2 units.
This proves that it's is a equilateral triangle which means it's all angles r of 60° or π/3 Radian
So AREA :-
[tex]AREA = \frac{\pi}{3} \times radius \\ \\ AREA = \frac{\pi}{3} \times 2 \\ \\ AREA = \frac{2\pi}{3} [/tex]
[tex] \green{Now:- } \\ \green{ \: Area \: Under \: Unshaded \: Part }[/tex]
Total Area - Area Under Unshaded Part
[tex] Area= 2\pi - \frac{2\pi}{3} \\ Area = \frac{6\pi - 2\pi}{3} \\ Area = \frac{4\pi}{3} \: \: ans[/tex]
[tex] \red \star{Thanks \: And \: Brainlist} \blue\star \\ \green\star If \: U \: Liked \: My \: Answer \purple \star[/tex]
what is the sum of all the exterior angle of a polygon
Answer:
From what I learn it is 360 degrees
The volume of a cuboid is 975cm3.
The length is 15cm and the width is 130mm.
Work out the height of the cuboid in cm
Answer:
Solution given:
Volume of cuboid=975cm³
length[l]=15cm
width[w]=130mm=13cm
height [h]=?
we have:
Volume of cuboid=l*w*h
975=15*13*h
h=[tex]\frac{975}{195}=5cm[/tex]
The height of the cuboid is 5cm.
