Answer:
the New Cone Volume is 0.1875 litres & the Volume of frustum is 11.8125 litres.
Step-by-step explanation:
According To Question,
We have Given A Right Circular Cone, Volume = 12 Litres .
Now, Let The Radius Of the base be r & the height be h .
Volume of Cone = 1/3×π×r²×h
thus, 1/3×π×r²×h=12
π×r²×h=36 → Equation. 1
Now, The new Cone is cut from the Plane Parallel to a base a quarter the way down from the vertex of the base. then the cone is cut at 1/4 from the base . So the Height of new Cone is h/r and the radius is r/4 .
Then, Volume Of new Cone=1/3×π×(r²/16)×(h/4) ⇔ (Put Value From Equ. 1)
V= 12/64 ⇔ 0.1875 litres of new cone volume .
Then, the volume of Frustum = 12-0.1875 = 11.8125 litres
Find the missing interior angle in a triangle when one angle is 48 degrees, a second angle is Y+2 degrees, and the exterior angle is 2Y - 3 degrees?
Answer:
61°
Step-by-step explanation:
Angles in a straight line add up to 180°.
Also angles in a triangle add up to 180°.
See the image above.
what is 18 7/8 -14 7/9
Answer:
295/72
Step-by-step explanation:
PLEASE HELP HURRY ASAP
The spinner depicted is a fair spinner. The spinner is least likely to land on which number?
A. 1
B. 2
C. 3
D. it is impossible to tell
a rectangle is twice as long as it is wide and its perimeter is 432cm
a) work out the dimensions of the rectangle.
b) work out the area of the rectangle.
Let
Width of rectangle=xLength of rectangle=2xPerimeter=432cmWe know that in a rectangle
☆ Perimeter=2(Length+Breadth)
[tex]\\ \sf\longmapsto 2(x+2x)=432[/tex]
[tex]\\ \sf\longmapsto 2x+4x=432[/tex]
[tex]\\ \sf\longmapsto 6x=432[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{432}{6}[/tex]
[tex]\\ \sf\longmapsto x=72[/tex]
[tex]\\ \sf\longmapsto 2x=2(72)=144[/tex]
Length=144cmBreadth=72cm☆Area=Length×Breadth
[tex]\\ \sf\longmapsto Area=144\times 72[/tex]
[tex]\\ \sf\longmapsto Area=10368cm^2[/tex]
I need help please! ASAP!
Answer:
Step-by-step explanation:
Determine the mean, median, and mode of the data set.
37, 12, 32, 23, 12, 40, 11, 12, 10, 23, 27
a.
C.
mean=22
median=40
mode=23
mean=21.7
median=23
mode=12
b. mean=20
d. mean=22
median=20
median=12
mode=12
mode=23
Answer:
mean=21.7
median=23
mode=12
Step-by-step explanation:
Mean=37+12+32+23+12+40+11+12+10+23+27/11
=21.7(3 s.f)
Median: 10,11,12,12,12,23,23,27,32,37,40
Median=23
Mode=12
A steamer travels 36 km upstream and 32 km downstream in 6.5 hours. The same steamer travels 4 km upstream and 40 km downstream in 180 minutes. Determine the steamer's speed in still water and the stream's speed.
Answer:
The streamer's speed in still water is 90.23 km/h while the stream's speed is 33.33 km/h
Step-by-step explanation:
Let v = streamer's speed in still water and v' = stream's speed. His speed upstream is V = v + v' and his speed downstream is V' = v - v'.
Since he travels 36 km upstream, the time taken is t = 36/V = 36/(v + v').
he travels 32 km downstream, the time taken is t' = 32/V' = 32/(v - v')
The total time is thus t + t' = 36/(v + v') + 32/(v - v')
Since the whole trip takes 6,5 hours,
36/(v + v') + 32/(v - v') = 6.5 (1)
Multiplying each term by (v + v')(v - v'), we have
(v + v')(v - v')36/(v + v') + (v + v')(v - v')32/(v - v') = 6.5(v + v')(v - v') (1)
(v - v')36 + (v + v')32 = 6.5(v + v')(v - v') (1)
36v - 36v' + 32v + 32v' = 6.5(v² + v'²)
68v - 4v' = 6.5(v² + v'²) (2)
Also he travels 4 km upstream, the time taken is t" = 4/V = 4/(v + v').
he travels 40 km downstream, the time taken is t'" = 40/V' = 40/(v - v')
The total time is thus t" + t'" = 4/(v + v') + 40/(v - v')
Since the whole trip takes 180 minutes = 3 hours,
4/(v + v') + 40/(v - v') = 3 (3)
Multiplying each term by (v + v')(v - v'), we have
(v + v')(v - v')4/(v + v') + (v + v')(v - v')40/(v - v') = 3(v + v')(v - v') (1)
(v - v')4 + (v + v')40 = 3(v + v')(v - v') (1)
4v - 4v' + 40v + 40v' = 3(v² + v'²)
44v - 36v' = 3(v² + v'²) (4)
Dividing (2) by (4), we have
(68v - 4v')/(44v - 36v') = 6.5(v² + v'²)/3(v² + v'²)
(68v - 4v')/(44v - 36v') = 6.5/3
3(68v - 4v') = 6.5(44v - 36v')
204v - 12v' = 286v - 234v'
204v - 286v = 12v' - 234v'
-82v = -222v'
v = -222v'/82
v = 111v'/41
Substituting v into (2), we have
68v - 4v' = 6.5(v² + v'²)
68(111v'/41) - 4v' = 6.5[(111v'/41)² + v'²]
[68(111/41) - 4]v' = 6.5[(111/41)² + 1]v'²
[68(111/41) - 4]v' = 6.5[(111/41)² + 1]v'²
[7548/41 - 4]v' = 6.5[12321/1681 + 1]v'²
[(7548 - 164)/41]v' = 6.5[(12321 + 1681)/1681]v'²
[7384/41]v' = 6.5[14002/1681]v'²
[7384/41]v' = [91013/1681]v'²
[91013/1681]v'² - [7384/41]v' = 0
([91013/1681]v' - [7384/41])v' = 0
⇒ v' = 0 or ([91013/1681]v' - 7384/41) = 0
⇒ v' = 0 or [91013/1681]v' - 7384/41) = 0
⇒ v' = 0 or v' = 7384/41 × 16841/91013
⇒ v' = 0 or v' = 180.097 × 0.185
⇒ v' = 0 or v' = 33.33 km/h
Since v' ≠ 0, v' = 33.33 km/h
Substituting v' into v = 111v'/41 = 111(33.33 km/h)/41 = 3699.63 km/h ÷ 41 = 90.23 km/h
So, the streamer's speed in still water is 90.23 km/h while the stream's speed is 33.33 km/h
Is the graph increasing, decreasing, or constant? I need help with it!!
Answer:Decreasing
Step-by-step explanation:
The line is going down.
The given graph is decreasing. The correct option is A.
Increasing graph: A graph is considered increasing if it moves upwards as you move from left to right along the x-axis. In other words, the y-values increase as the x-values increase. This is often represented by a positive slope, where the line or curve ascends as it extends to the right.
Decreasing graph: A graph is considered decreasing if it moves downwards as you move from left to right along the x-axis. In this case, the y-values decrease as the x-values increase. It is represented by a negative slope, where the line or curve descends as it extends to the right.
Constant graph: A graph is considered constant if it remains flat and does not rise or fall as you move along the x-axis. The y-values do not change with increasing x-values, and this is represented by a horizontal line.
In given figure the line goes to downwards and the vales of y is decreasing for the increasing values of x.
Hence, the given graph is decreasing. The correct option is A.
Learn more about Graph here:
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Simplity
-1|2/3-4|
÷ 5/6
Answer:
-4
Step-by-step explanation:
Simplify. You can do this with what I've provided below.
[tex]\frac{-(\frac{2}{3}+4)}{\frac{5}{6} }[/tex]
Young people ages 15-24 are accountable for ____ of the total costs of motor vehicle injuries.
10%
20%
30%
40%
Answer:
30%
Step-by-step explanation:
There are a total of 40 red, yellow or blue balls in a box. Each ball is marked with a number out of 1, 2, 3 and 4 on the side. The figure in the shaded area below each shows the number of balls in that category. For example, the number of red balls marked with the number "1" is 12. What is the minimum number of balls to be taken out of the box to ensure that you have at least one ball of each color and each marked number?
Answer:
9
Step-by-step explanation:
Question:
Minimum number of balls to ensure there is at least one ball of each colour marked with each number.
The quantity of distinct numbers are:
red: 4
Yellow 3
Blue 2
So the minimum number of balls to satisfy the given requirements is
4+3+2= 9
Please help I’ll give brainliest
Answer:
6 ^ 6
Step-by-step explanation:
hope this helps!
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: C. \:{6}^{5} }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {6}^{2} \times {6}^{3} [/tex]
➺[tex] \: {6}^{2 + 3} [/tex]
➺[tex] \: {6}^{5} [/tex]
Note:-[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♬}}}}}[/tex]
I’m really confused, can I get some help
True or False: The following lengths make a right triangle?
a = 6
b = 8
C = 9
6
8
9
O True
O False
Answer:
False is the correct answer
6²=36
8²=64 add them 100≠9²
A farmhouse shelters 10 animals. Some are pigs and some are chickens. Altogether there are 30 legs. How many of each animal are there? PLSS HELP!!
Answer:
theres 5 pigs and 5 chickens
Step-by-step explanation:
5 pigs 4 legs 5x4=20
5 chickens and 2 legs 5x2=10
20+10=30
can someone pls pls help me?
Answer:
area is 320
Step-by-step explanation:
you do h_bb/b and the height is 20 ft and the base is 32 ft so you just plug it in
Can someone please help me, this is for summer school and I need fast replies, I have 29 other question like these, please help.
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: A. \:- 8 {v}^{4} + 3 {v}^{3} + v + 5}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](4 + 6v + 3 {v}^{3} ) - (5v + 8 {v}^{4} - 1)[/tex]
➼[tex] \: 4 + 6v + 3 {v}^{3} - 5v - 8 {v}^{4} + 1[/tex]
Combining like terms, we have
➼[tex] \: - 8 {v}^{4} + 3 {v}^{3} + 6v - 5v + 4 + 1[/tex]
➼[tex] \: - 8 {v}^{4} + 3 {v}^{3} + v + 5[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
What's the area of the shaded region?
Answer:
99cm²
Step-by-step explanation:
Area of shaded region=(area of outer rectangle)-(area of inner triangle)
Area of shaded region=(L×W)-(bh/2)
=(12×10)-((6×7)/2)
=120-(42/2)
=120-21
=99cm²
23.45+ 435.1 =??? plz help me
Answer:
458.55
Step-by-step explanation:
23 + 435 = 458
.45 + .1(0) = .55
458 + .55 = 458.55
.1 is .10 (Think of it as a 10)
Does anyone know the answer to this ?!? ( links and answers that have nothing to do with the question will be reported.)
Answer:
the triangle was 2x scale (*2)
it was reflected across y=0
and translated x +2
Step-by-step explanation:
The baker at The Bake Shop makes 24 muffins in 1 hour. How many muffins will the baker make in 5 hours?
Math item stem image
CLEAR SUBMIT
97 muffins
100 muffins
101 muffins
120 muffins
Answer:
120 muffins
Step-by-step explanation:
If The Bake Shop makes 24 muffins in one hour and we need to find out how many muffins will the bake make in five hours, we need to multiply 24 times 5 which would equal 120 muffins in five hours.
Hope this is helpful
The perpendicular room is 4m long, 3m wide and 2.5m high. They tiled and painted the interior walls of the room. How many square meters do they have to paint? Answer only
Answer:
35m^2
Step-by-step explanation:
4×2.5=10 10×2=20
3×2.5=7.5 7.5×2=15
20+15=35
Hope this helps! :)
determine the equation of the circle graphed below .
Answer:
(x+1)^2 + (y-7)^2 = 2^2
Step-by-step explanation:
The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2
You would flip the signs of the center so that when you solve the equation it ends up in the correct place.
In the diagram below, DE is parallel to xy. What is the value of x?
115
E
*
xº
Y
A. 115
B. 85
C. 105
D. 65
The measure of the angle x will be 65°. Then the correct option is B.
What is an angle?Corresponding angle – If two lines are parallel, then the third line. The corresponding angles are equal angles.
Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.
Let y be the corresponding angle of x and linear pair of 115°.
∠y + 115° = 180°
∠y = 65°
Then the angle y and angle x are corresponding angles. Then we have
∠x = ∠y
∠x = 65°
Then the correct option is B.
The complete question is given below.
More about the angled link is given below.
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Answer: 65
Step-by-step explanation:
Which congruence theorem can be used to prove ABDA - ABDC?
С
B
D
А
OHL
O SSA
O AAS
O SSS
Answer:
SSS
Step-by-step explanation:
Same Sides Subtract
The congruence theorem that can be used to prove that ΔBDA ≅ ΔBDC is: D. SSS
What is the SSS Congruence Theorem?The SSS Congruence Theorem is a theorem that proves that if one triangle has three sides that are congruent to the three corresponding sides of a another triangle, both triangles are congruent.
Thus, ΔBDA and ΔBDC both have three pairs of congruent corresponding sides, namely:
BD ≅ BD BA ≅ BCDC ≅ DATherefore, the congruence theorem that can be used to prove that ΔBDA ≅ ΔBDC is: D. SSS
Learn more about the SSS Congruence Theorem on:
https://brainly.com/question/25425647
human right violation
Answer:
A human rights violation is the disallowance of the freedom of thought and movement to which all humans legally have a right.
Step-by-step explanation:
PLEASE HELP 25 POINTS. If you apply the changes below to the quadratic parent function, fx) = x2,
what is the equation of the new function?
.
Shift 1 unit left.
.
Vertically stretch by a factor of 3.
• Reflect over the x-axis.
Answer:
[tex]f(x) = 3 (x+1)^{2}[/tex]
Step-by-step explanation:
Kip has a collection of 68 marbles. Each glass marble has a mass of 18.5 grams. Each steel marble has a mass of 66 grams. What is the total mass of 48 glass marbles and 20 steel marbles in kilograms? PLS HELP!
Answer:
2.208 kg
Step-by-step explanation:
Total mass of glass marble
= 18.5×48
= 888 g
Total mass of steel marble
= 66×20
= 1320 g
Total mass of 68 marble including steel 20 and glass 48
= 888 + 1320
= 2208 g
In kilograms 2208
= 2.208 kg
Please mark as brainliest answer
Which expression is equivalent to -51 - (-60)−51−(−60)
Answer:
18
Step-by-step explanation:
Always remember negative x negative = positive
-51-(-60)-51-(-60)
-51+60-51+60
9+9
18
I don't know what are the expressions but try yourself
Believe in yourself you can do it
solve the system of equations y=2x-3 and y=x^2-3
I have attached some answers in the photos below hope you find them useful
Answer:
0 and 1
Step-by-step explanation:
Given :
[tex]y= 2x-3\\y=2x^{2} -3[/tex]
Now equate the both equation :
[tex]2x-3=2x^{2} -3[/tex]
2x=2[tex]x^{2}[/tex]
x-[tex]x^{2}[/tex]=0
x(1-x)=0
x=0
1-x=0
x=1
Therefore, x=0,1
Lin scored 18 marks in a test and Jon scored 12 marks.
Calculate Lin's mark as a percentage of Jon's mark
Answer:
=60
Step-by-step explanation:
18 + 12
=30
18/30 × 100%
=60
