Now
volume:-
1/3πr²h1/3π(4.5)²(6)π(20.25)(2)40.5πcm³Answer:
Volume of cone = 127.17 cm³Step-by-step explanation:
In the question we are given ,
Slant height = 7.5 cmRadius = 4.5 cmAnd we are asked to find the volume of cone. We know that ,
[tex] \red{\boxed{ \rm{Volume \: of \: cone = \frac{1}{3} \pi r {}^{2}h }}}[/tex]
Where ,
π = 3.14r = 4.5 cmh = Not givenSo , for finding volume of cone we must have to find the height of cone using slant height formula i.e. ,
[tex] \green{\boxed{ \sf{l {}^{2} = h {}^{2} + r {}^{2} }}}[/tex]
Where ,
l = slant heighth = heightr = radiusNow , substituting values :
[tex] \hookrightarrow \: 7.5 {}^{2} = h {}^{2} + 4.5 {}^{2} [/tex]
Transposing 4.5 to left hand side :
[tex] \hookrightarrow \: 7.5 {}^{2} - 4.5 {}^{2} = h {}^{2} [/tex]
[tex] \hookrightarrow \:56.25 - 20.25 = h {}^{2} [/tex]
On further calculations we get :
[tex] \hookrightarrow \:h {}^{2} = 36[/tex]
[tex] \hookrightarrow \:h = \sqrt{36} [/tex]
We know that 6 × 6 is equal to 36 that means square root of 36 is 6 . So :
[tex] \hookrightarrow \pink{\boxed{\bold{h = 6 \: cm}}}[/tex]
Therefore, height of cylinder is 6 cm .Now finding volume :Substituting values in volume formula :
[tex] \longrightarrow\: \frac{1}{ \cancel{3} } \times 3.14 \times (4.5) {}^{2} \times \cancel{6}[/tex]
Step 1 : By cancelling 6 with 3 we get :
[tex] \longrightarrow \: 3.14 \times 20.25 \times 2[/tex]
Step 2 : Multiplying 20.25 with 2 :
[tex] \longrightarrow \:3.14 \times 40.50[/tex]
Step 3 : Multiplying 3.14 with 40.50 :
[tex] \longrightarrow \: \purple{\boxed{\bold{127.17 \: cm {}^{3} }}}[/tex]
Therefore, volume of cone is 127.17 cm³ .#Keep LearningThis is the graph of a polygon. What is the approximate perimeter of the polygon?
Answer: 20.48
Step-by-step explanation:
use the pythagorean theorem for the diagnal sides
3^2+3^2=c^2
9+9=c^2
18=c^2
[tex]\sqrt{18}[/tex]
this gives you 4.24
now add 6+6+4.24+4.24 to get 20.48
Of the 72 people who have taken their seats at a seminar, 6 have brown hair. Considering this data, how many of the next 84 people to take their seats should you expect to be brown-haired?
Answer:
7
Step-by-step explanation:
72 divided by 6 = 12
84 divided by 12 = 7
Find the area of the irregular figure in the diagram.
Answer:
15 because there are 15 squares i counted
Step-by-step explanation:
A square has a triangular hole in it. What is the area of the figure?
85[tex]in^{2}[/tex]
92.5[tex]in^{2}[/tex]
70[tex]in^{2}[/tex]
100[tex]in^{2}[/tex]
Answer:
92.5 square inches
Step-by-step explanation:
Area of square:
10 * 10 = 100 square inches
Area of right triangle:
(1/2) * 5 * 3 = 7.5 square inches
Area of figure:
100 - 7.5 = 92.5 square inches
Day 3 Algebra Q10
5x+512=3x+652
4y+134=2y+264
a) What is x+y?
b) What is xy?
c) What is x-y?
d) What is x(x+y)+15y?
Drag the tiles to the correct boxes to complete the pairs.
Find the volume of the cubes or rectangular prisms in cubic centimeters.
cube with a side length of cm
arrowRight
rectangular prism with a length,
width, and height of cm, cm,
and cm, respectively
arrowRight
cube with a side length of cm
arrowRight
rectangular prism with a length,
width, and height of cm, cm,
and cm, respectively
Answer:
3rd one drag 4th one
4th one drag 2nd one
2nd one drag 3rd one
1 one drag 1 one
Step-by-step explanation:
The answers to the questions are given below.
What is a expression? What is a mathematical equation? What is the volume of a cube and a prism?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. The volume of a cube is - [V] = a x a x awhere [a] is side length of cube.
The volume of a prism is -[V] = [h] × [w] × [L]where [h] is prism height, [w] is its width, and [L] is its length.
We have the question as shown in the figure.
Cube with side length (1/5) :
Volume = (1/5 x 1/5 x 1/5) = 1/125 cm³
Prism of dimensions (L = 1/5, B = 2/5, H = 3/5) :
Volume = (1/5 x 2/5 x 3/5) = 6/125 cm³
Cube with side length (2/5) :
Volume = (2/5 x 2/5 x 2/5) = 8/125 cm³
Prism of dimensions (L = 3/5, B = 4/5, H = 3/5) :
Volume = (3/5 x 4/5 x 3/5) = 36/125 cm³
Therefore, the answers to the questions are given above.
To solve more questions on volumes, visit the link below
https://brainly.com/question/29424737
#SPJ2
i need help ASAP!! how do i do this?
Answer:
C and D
Step-by-step explanation:
C is a repeating decimal and D is a terminating decimal
Answer:
e
Step-by-step explanation:
maybe brainliest IF IT iS RIGHT;))
You resize a picture so that the radius of the midday Sun appears four times larger. How much larger does the circumference of the Sun appear?
The circumference appears (BLANK) times larger.
Answer:
The circumference appears four times larger.
Step-by-step explanation:
C=2πr
So if we are multiplying the radius (r) by 4 then that would most definitely increase the outcome (circumference) by 4
here's why:
C=2πr
C=2π(4r)
C=8πr
So,
8πr/2πr = 8/2 = 4
Hope this helps! ;)
What is your experimental probability for rolling at least one “1” when rolling two dice? SHOW YOUR WORK please(:
With one dice the chance of rolling a one is 1/6.
With two you have twice the probability, so its 1/3.
This is because there are 6 sides on a dice.
Please mark brainliest if this helped!
Answer:
The probability of rolling at least one 1 is 1/3
Step-by-step explanation:
When there is one dice the probability of rolling a '1' is 1/6
When you roll two dice, the probability of rolling a '1' increases, making it a 1/3 of rolling a one.
-I hope this helps!
GOT ANOTHERONE DUE IN 6 MIN PLEASE HELP FAST!!!!!!!!!!!!!!!!!!!!!
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-We have given one rectangle whose 3 by 4th part is shaded and remaining part is non shaded. To Find :- We have to find the area of shaded region of the given figure .Let's Begin :-Here, We have
The dimensions of large rectangle as 12 units and 8 units That is, [tex]\sf{ Length = 9 + 3 = 12 \: units}[/tex][tex]\sf{ Breath = 4 + 4 = 8 \: units}[/tex]The dimensions of non shaded rectangles are 9 units and 4 unitsWe know that,
Area of rectangle
[tex]\bold{\red{ = Length {\times} Breath }}[/tex]
Subsitute the required values,
Area of large rectangle
[tex]\sf{ = 12 {\times} 8 }[/tex]
[tex]\sf{ = 96 \:units^{2}}[/tex]
Thus, The area of large rectangle is 96 units² .
Now,Area of non - shaded rectangle
[tex]\sf{ = 9 {\times} 4 }[/tex]
[tex]\sf{ = 36\: units^{2}}[/tex]
Thus, The area of non shaded rectangle is 36 units² .
Therefore,Area of shaded region
= Area of large rectangle - Area of non shaded rectangle
Subsitute the required values,
[tex]\sf{ = 96 - 36}[/tex]
[tex]\sf{ = 60\: units^{2}}[/tex]
Hence, The total area of shaded region is 60 sq.units.
➾Length(L) of bigger rectangle = [tex]\sf{9+3\: =\:12}[/tex]units.
➾Length(l) of smaller rectangle = 9units.
➾Breadth (B) of bigger rectangle = [tex]\sf{4+4 \:=\: 8}[/tex]units.
➾Breadth(b) of smaller rectangle = 4 units.
✰To Find:-➾Area of the shaded region.
✰Solution:-➾We can find the area of shaded region by subtracting area of smaller rectangle from area of bigger rectangle(that is whole rectangle including shaded and non shaded region).
So,
➾Area of bigger rectangle = [tex]\sf{L×B}[/tex](putting the value of L and B from the above given)
= [tex]\sf{8×12}[/tex]
= [tex]\sf{96unit^2}[/tex]
Similarly,
➾Area of smaller rectangle = [tex]\sf{l×b}[/tex](putting the value of l and b from the above given)
= [tex]\sf{9×4}[/tex]
= [tex]\sf{36unit^2}[/tex]
Now,
➾Area of shaded region = Area of bigger rectangle - Area of smaller rectangle.
[tex]\sf{= 96-36}[/tex]
[tex]\sf{= 60unit^2.}[/tex]
Therefore, area of shaded region[tex]\sf{= 60unit^2.}[/tex]
__________________________________
Hope it helps you:)
Question 6 of 10
The table shows how many males and females attended two different
movies. How would you find the joint relative frequency of being female and
attending an action movie?
Action
Drama
Total
Male
105
124
229
Female
99
151
250
Total
204
275
479
A. Divide 99 by 250.
B. Divide 204 by 250.
ООО a
C. Divide 99 by 479.
9
D. Divide 99 by 204.
Answer:
A
Step-by-step explanation:
I didn't learn jrf, but I believe that it is the amount of females that watch action movies divided by the total amount of females.
Amount of females who watch action movies= 99
Total females= 250
So, A seems correct.
The joint relative frequency of being male and attending a drama film, divide 124 by 229.
What is Relative Frequency?The number of times an event occurs divided by the total number of events occurring in a particular scenario is described as relative frequency.
Two things must be understood in order to compute the relative frequency:
Total number of events/trialsA category or subgroup's frequency countAction Drama Total
Male 105 124 229
Female 99 151 250
Total 204 275 479
The joint relative frequency is the frequency in a given category divided by the total number of data values.
Here, The total number of males = 229
and, the number of males that like drama = 124
To calculate the joint relative frequency of being male and attending a drama film, divide 124 by 229.
Learn more about Relative Frequency here:
https://brainly.com/question/29739263
#SPJ7
The MAD of the data set in the table is about 6.7. Does the value 4 deviate more or less than most of the values in the table? Explain.
Answer: 27
Step-by-step explanation: I know bc I am doing the test
20 hm = m
3,412 mm = km
0.25 m = mm
590 mg = g
75cm = m
12.5 m = km
8,808 cm = km
20 hm = mm
1,235g = kg
12 decimeters = dm
deka
20 L = mL
13.6 mL = L
Answer:
Step-by-step explanation:
20 hm = 2000 m
3,412 mm = 0.003412 km
0.25 m = 250 mm
590 mg = 0.59 g
75cm = 0.75 m
12.5 m = 0.0125 km
8,808 cm = 0.08808 km
20 hm = 2000000 mm
1,235g = 1.235 kg
12 decimeters = 0.12 dam
20 L = 20000 mL
13.6 mL = 0.0136 L
Hope this helps :)
Answer:
See below.
Step-by-step explanation:
Let's review the metric prefixes used in this problem:
m = 1/1000
h = 100
c = 1/100
k = 1000
da (deca) = 10
20 hm = 20 × 100 m = 2,000 m
3,412 mm = 3412/1000 m × 1 km/(1000 m) = 0.003412 km
0.25 m = 0.25 m × 1000 mm/m = 250 mm
590 mg = 590 mg × 1 g / (1000 mg) = 0.59 g
75 cm = 75 × m/100 = 0.75 m
12.5 m = 12.5 m × 1 km / 1000 m = 0.0125 km
8,808 cm = 8,808 cm × 1 m / 100 cm × 1 km / 1000 m = 0.08808 km
20 hm = 20 × 100 m × 1000 mm/m = 2,000,000 mm
1,235 g = 1,235 g × kg/(1000 g) = 1.235 kg
12 dm = 12 dm × 1 m / 10 dm × 1 dam / 10 m = 0.12 dam
20 L = 20 L × 1000 mL/L = 20,000 mL
13.6 mL = 13.6 mL × 1 L / 1000 mL = 0.0136 L
Can somebody please help me with this? Thank youuuu
Answer:
a. (5x+75)°
b. x = 21
c. X° = 21° and (4x+75)°= 159°
Step-by-step explanation:
A. Combine like integers.
B. (5x+75)°=180° Because they are suplementary angles.
5x°= 105°
5x ÷5 = 105 ÷ 5
x = 21
C. (4x + 75)°
4(21) + 75
84 + 75 = 159°
hi everone can you help i will be sending more qusetions each one is 10 points thank you
Answer: 326
The blank space equals 326, 326 times 15 is 4890 as you’d start by multiplying 326 times 10 then multiply 326 times five then add the two sums and get your answer.
We can use inverse operations to find this question by dividing 4890 by 15. We can check our answer by multiplying 326 by 15.
Answer:
326
Step-by-step explanation:
We can use inverse operations to find this question by dividing 4890 by 15. We can check our answer by multiplying 326 by 15.
Hope this helps :)
What is the area of the reduced triangle?
24 cm?
O 60 cm?
O 75 cm?
O 375 cm?
Answer:
24
Step-by-step explanation:
area = a * b / 2
Answer:
24
Step-by-step explanation:
when you multiply by decimal, it always going to be a reduces number compare to the original.
Please try your best and show your work and I will give brainliest!
The table below shows the number of pencils of each color for all 25 pencils in a box.
Pencils in the box
Color Number
Red 11
Blue 11
Green 3
The likelihood of an event occurring may be described as certain, more likely, equally likely, less likely, or impossible.
Part A:
A single pencil is drawn from the box. Describe the likelihood that the pencil is black. Explain your reasoning.
Part B:
The pencils have all been placed in the box. Compare the likelihood of drawing a red pencil to the likelihood of drawing a blue pencil from the box. Show your work and/or your reasoning.
* The original 25 colored pencils have all been placed back in the box and another 11 colored pencils have been added to the box. The new pencils are either red, blue or green. The likelihood of drawing a green pencil is now greater than the likelihood of drawing a red pencil, but less than the likelihood of drawing a blue pencil.
Part C:
How many colors of each pencil were added to the box. Explain how you know that your answer is the only possible outcome that meets all the conditions.
Answer:
Part A: impossible
Part B: Either equal or blue
Part C: 9 green and 2 blue were added
Step-by-step explanation:
Part A:
The only colors included in this problem are red, blue, and green. There is no black colored pencil, therefore, it is impossible to get one from the box.
Part B:
I'm not sure what you're asking in this question, but I will give you the two choices. If it is before the additional 11 colored pencils are added to the box, the chance of drawing a red and the chance of drawing a blue will be equal, because both of them have 11 of each color. If it is after the additional 11 colored pencils are added to the box, then the chance of drawing a blue colored pencil will be greater than the chance of drawing a red colored pencil. After the 11 colored pencils are added, there are 13 blue and 11 red. The blue is greater.
Part C:
The least number of green colored pencils added has to be 9, because the chance of drawing a green pencil is now greater than the chance of drawing a red pencil. If we add 8 more green pencils, the likelihood would be the same. Therefore, the number of green colored pencils added has to be at least 9. If we have the last 2 colored pencils be blue, then there would be 11 red, 13 blue, and 12 green. This fits all the conditions, therefore, adding 9 green colored pencils and 2 blue colored pencils is the answer.
I hope this helps and please mark me as brainliest!
Answer:
just adding an answer so u can give the other person brainliest x btw thanks to the other person sm!
Step-by-step explanation:
BRAINLIEST + 45 POINTS FOR RIGHT ANSWER ONLY! MUST SHOW WORK!
Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:
Position: Open Side Up Closed Side Up Landing on Side
Number of Times Landed in Position: 3 7 40
Based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). Show your work.
Answer:
Step-by-step explanation:
40+3+7=50
50x2=100
40x2=80
3x2=6
7x2=14
80% on side
6% with open side up
3 percent with closed side up
Answer:
80% on side
6% with open side up
3 percent with closed side up
Please give brainliest!!
The ratio of offensive to defensive players on a football team is 4 to 3. If there are 52 offensive players on the team, how many defensive players are there?
Answer:
39
Step-by-step explanation:
1) Write a proportion using the ratio 4 to 3:
offense players (o) / defense players (d) = 4/3
2) Substitute known values:
52 / d = 4/3
3) Cross multiply (or your own method) and solve:
d = 39 players
Hope this helps!
Answer:
The answer is 39
Step-by-step explanation:
no explanation needed
brainliest but gotta be right
Answer:
given - circumference of the coin = 122 inches.
to calculate - radius of the coin.______________________________________
[tex]\fbox\pink{Solution -}[/tex]
[tex]circumference = 2\pi \: r \\ \\ r = \frac{circumference}{2\pi} \\ \\r = \frac{\cancel{122}}{\cancel2 \times \frac{22}{7} } \\ \\ r = \frac{61}{ \frac{22}{7} } \\ \\ r = 61 \times \frac{7}{22} \\ \\ r = \frac{427}{22} \\ \\ r = 19.41 \: inches \: (approx.)[/tex]
hope helpful :D
Answer :
19.42 inches⠀
Step-by-step explanation :
⠀
We know that,
[tex]{\longrightarrow \qquad \frak {\pmb{ 2 \pi r = Circumference_{(circle)} }}}[/tex]
⠀
Here,
r is the radius of the circle.We'll take the value of π as 3.14 . (Answer may be different if we take the value of it as 22/7)⠀
Now, substituting the values :
⠀
[tex]{\longrightarrow \qquad \sf{ 2 \times 3.14 \times r = 122}}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ 6.28 \times r = 122}}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ r = \dfrac{122}{6.28} }}[/tex]
⠀
[tex]{\longrightarrow \qquad \frak{\pmb{ r = 19.42}}}[/tex]
⠀
Therefore,
The radius of the object is 19.40 inches approximately (Rounded to nearest tenth)⠀
Ages
The ages of 10 different students in a college math class were used to make the box plot shown above. Which of the sets of ages below matches the given box plot?
A.
Ages: 18, 19, 19, 20, 20, 20, 21, 22, 22, 26
B.
Ages: 18, 19, 20, 20, 20, 20, 21, 22, 22, 26
C.
Ages: 18, 19, 19, 20, 21, 21, 21, 22, 22, 26
D.
Ages: 18, 19, 19, 20, 20, 20, 21, 21, 22, 26
Answer: It would be A
Step-by-step explanation:
First: Find Median
18,19,|19|,20,|20,20|,21,|22|,22,26
there is 10 numbers so it would be between 20 and 20. Add 20 and 20 and you will get 40 and divide by 2 to get 20. Your median is 20 and the dot should be on top of the 20.
Second: Find Quartile 1 and 3
Since it’s 5 numbers on each side, the math is friendly. So you count the first 2, then circle the next number and count the last 2. The one you circled is your Quartile 1 and do the same for Quartile 3. Q1 should be 19 and Q3 should be 22. Check if they are underneath that number you got.
Last: now you know that you just have to find the median and the Q1 and Q3 and you should get the answer which is A.
Please help!!!!!!!!!!!!
Answer:
38
Step-by-step explanation:
It is the highest value in the number line-up :)
Have a great day!!
Please rate and mark brainliest!!
Answer:
38
Hope this helps
which of the following sequences is not arithmetic
1,2,3,4...
1,4,9,16...
2,4,6,8...
0,-2,-4,-6....
please help
Answer:
1,4,9,16...
Step-by-step explanation:
It does not have a common difference between each consecutive term, therefore it is not an arithmetic sequence.
show work on how to do the question
Answer:
8.4
Step-by-step explanation:
subtract 18-9.6 to get the answer of 8.4
help! how do i find the slope and the y-intercept? please help
Answer:
1 is the - Slope
4 is the y-intercept
Step-by-step explanation:
To find slope, you have to use two points and use the formula [tex]\frac{y2-y1}{x2-x1}[/tex]
Here one point is (2,6), and other point is (4,8)
Substitute to get [tex]\frac{2}{2}[/tex] which equals 1.
To find y-intercept, x should be 0. If x is 0 then why in this case would be 4
What is the sum of the lengths of the shortest and longest ski trails? the short one is 1 3/8 th long one is 3 1/8 what is the sum
Answer:
44/8. ----- then you reduce to the lowest term and convert to decimals 5.5
Answer:
4 1/2
Step-by-step explanation:
Given lengths :-
1 3/83 1/8To Find :-
SumSolving :-
1 3/8 + 3 1/8Convert to improper fractions so there is a common denominator11/8 + 25/836/89/24 1/2Nathan wants to solve this puzzle ; ‘’ i am thinking of a number . if you divide my number by 3 and add -3 . you will get 4. What is my number?’’ show all of your work
[tex] \frac{x}{3} - 3 = 4[/tex]
[tex] \frac{x}{3} = 7[/tex]
[tex]x = 7 \times 3 = 21[/tex]
hi everybody can you help me i really thank you each qusesion is 10 pioints
Answer:
Step 3
Step-by-step explanation:
In Step 3, he divided 8 by 4 when he should've done 32 divided by 8 first.
(I don't know if it's considered to be in Step 2 or Step 3, so if Step 3 is wrong, then it's Step 2.)
I hope this helps! Have a lovely day!! :)
Answer:
Travis made mistake in 2nd step..
Step-by-step explanation:
because according to DMAS , we use first division in the equation,then multiplication, then addition and then subtraction.
D-Division
M-multiplication
A-addition
S-subtraction
:-befrank
For each ordered pair, solve the percent problems to find the coordinates. (x is 110% of 10 y% of 50 is 3.5).
Step-by-step explanation:
The value of x and y based on the percentages that are given will be 11 and 7.
How to calculate the percentage
Since x is 110% of 10. This will be;
= 110% × 10
x = 11
Since y% of 50 is 3.5. This will be:
y% × 50 = 3.5
y% = 3.5/50
0.01y = 3.5/50
y = 7
Therefore, it can be seen that value of x and y based on the percentages that are given will be 11 and 7.
This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 34.
What is the surface area of the image after the dilation?
185 5/8 m²
219 3/8 m²
247 1/2 m²
292 1/2 m²
Answer:
Explanation:
11x5=55
11x13=143
5x13/2=32.5
55+32.5+143=230.5
230x185 5/8 m²=42 693.75 m2
230x219 3/8 m²=50 456.25 m2
230x247 1/2 m²=56 925 m2
230x292 1/2 m²=67 275 m2
I DO NOT 100% KNOW IF THESE ARE CORRECT
Answer:
247 1/2 m 2
Step-by-step explanation:
have a good day