Answers
Answer:
The volume of the composite figure is approximately 434.041 cubic centimeters.
Step-by-step explanation:
The volume of the composite figure ([tex]V[/tex]), in cubic centimeters, is the sum of the volumes of the cuboid ([tex]V_{c}[/tex]), in cubic centimeters, and hemisphere ([tex]V_{h}[/tex]), in cubic centimeters, that is:
[tex]V = V_{c} + V_{h}[/tex] (1)
[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex] (2)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]h[/tex] - Height, in centimeters.
[tex]l[/tex] - Length, in centimeters.
[tex]R[/tex] - Radius, in centimeters.
If we know that [tex]w = 10\,cm[/tex], [tex]h = 6\,cm[/tex], [tex]l = 5\,cm[/tex] and [tex]R = 4\,cm[/tex], then the volume of the composite figure is:
[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex]
[tex]V = (10\,cm)\cdot (6\,cm)\cdot (5\,cm) + \frac{2\pi}{3}\cdot (4\,cm)^{3}[/tex]
[tex]V \approx 434.041\,cm^{3}[/tex]
The volume of the composite figure is approximately 434.041 cubic centimeters.
Related Questions
A rectangle has an area of 4(x + 3) square units. x + 3= width, 4=length Use the distributive property to write an equivalent expression for the rectangle's area. Answer _______
Answers
Answer:
4x + 12
Step-by-step explanation:
4*x + 4*3 = 4x + 12
Notice what has happened. The plus sign remains.The 4 multiplies by both the x and the 3That's as far as you can take the problem. You cannot reduce it any further or combine it in any way. The reason is that the x has a 4 in front of it and the 12 has no x.
When those terms are separated by a plus or minus sign, the terms are not the same. Unlike terms cannot be combined.
Answer: 4x+12=4x+12 or 4x+12=4(x+3)
Step-by-step explanation:
(x+3)(4)=4(x+3) *because length x width=areaDistribute 4 into the parenthesis 4x+12=4(x+3)you can go even further4x+12=4x+12Hope this helps!
L
2.8
K
Solve AJKL. Round the answer to the nearest tenth.
A. J = 42.2°, K = 110.70, L = 27.1°
B. J = 110.70, K = 42.20, L = 27.1°
C. J = 42.2°, K = 27.1°, L = 110.70
D. J= 27.1°, K = 110.7°, L = 42.2°
Please select the best answer from the choices provided
Answers
Answer:
Result = 124.6
Step-by-step explanation:
If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit. Example
124.58
The first number of right of decimal point is 5
The second digit after decimal point is 8 which is greater than 5
So add 1 to 5
Result = 124.6
The population of a city has increased by 33% since it was last measured. If the current population is 26,600, what was the previous population?
Answers
Answer:
26600 - 33 = 26566
Step-by-step explanation:
sum
Answer:
17,420
Step-by-step explanation:
you multiply 26,000 by .33 which gets 8,580
then subtract 8,580 from 26000 which is 17420
What type of data display is shown below?
Student Grades
60
69
99
82
92
60
70
HA
100
80
90
O A. Histogram
O B. Box-and-whisker plot
C. Stem-and-leaf plot
O D. Scatterplot
Answers
Answer:
B) Box-and-Whisker plot
Noah raised $54, which is 60% of his fundraising goal to support the animal shelter.
Write an equation to represent the situation.
What is Noah's fundraising goal? Show or explain how you found it.
Answers
Answer:
make shur your using fractions
54 60
x 100 cross multiply
54(100) 60(x)
5400 60x
divided both by 60
5400/60 60/60
90 1
= $90
then you go
54 60
90 100
and use a caculater to see if your answer is coorect
you just fowllow the steps to see if you get 90
Step-by-step explanation:
Find the 9th term of the geometric sequence show below
Answers
Answer:
40x^20
Step-by-step explanation:
Each sequence the x value doubles.
Each sequence the x exponent goes up by 5
First CORRECT answer get branliest Please help!
Answers
Answer:
36^6 or 2176782336
Step-by-step explanation: if you multiply 10^2 would equal because you would multiply 10 by 10 and 4^3 would equal 64 because you would have to multiply four 3 times (4 x 4 x 4) and you subtract 100 and 64 (100 - 64) and you get 36 BUT, the question says "Give your answer as APO 6, so you put your answer as 36^6 or 2,176,782,336
Which of the following is most likely the next step in the series?
Answers
Answer:
Its D
Step-by-step explanation:
What is the volume of a rectangular sandbox that is 4 feet by 5 feet by 2 feet?
(A) 14ft
(B) 11ft
(C) 40ft
(D) 22ft
Answers
Answer:
40 ft
Step-by-step explanation:
lxbxh is 40 hope it helps have a great day Mark me as brainiest please
10.
The lines graphed below show the amounts of water in two tanks as they were being
filled over time.
TANK FILLING RATES
+
Amount of Water (gallons)
1,800
1,600
1,400
1,200
1,000
800
600
400
200
Tank A
Tank B
0
0.5
1 1.5 2
Time (minutes)
For each tank, explain whether or not there is a proportional relationship between
the amount of water, in gallons, and the time, in minutes. If there is a proportional
relationship, identify the unit rate. Use specific features of the graph to support
your answer
hp
Answers
Answer: Step-by-step explanation:
A proportional relationship exists. Since the graph is a straight line, you can say.
Tank A's unit rate is 666 2/3 gallons per minute. You'll figure it out by multiplying 1000 gallons by 1.5 minutes. 1000 divided by 1.5 equals 666.66 gallons, or 666 2/3 gallons.
The unit rate for Tank B is 300 gallons per minute. You can determine this by using 600 gallons in 2 minutes. 600/2 = 300 gallons per minutes
14x+5y=31
2x−3y=−29
Answers
Answer:
x = -1, y = 0=9
Step-by-step explanation:
Multiply the second equation by 7 and subtract the two.
14 x + 5 y = 31
- (14 x - 21 y = -203)
This gives 26 y = 234. Divide both sides by 26. y = 9
Then substitute y into any equation. I'll use
2 x - 3 y = -29
2 x -3(9) = -29
2 x - 27 = -29
2 x = -2
x = -1
PLS HELP WILL GIVE BRAINLESS
Given 4 < a < 5, 2 < b < 4 Find: a / b
Answers
Answer:
I hope this helps!
Step-by-step explanation:
4<a<5
2<b<4 multiply
4x2 < axb < 5x4
8<ab < 20
Answer:
1<a/b<2.5
Step-by-step explanation:
bro you're gonna give me brainless ://
We are given 4<a<5 and 2<b<4 and are asked to find a/b.
Since there is a wide range of values of numbers from 4 to 5 and 2 to 4, there is no definite answer to this. However, we can take the most extreme values here and write them on the opposite ends of the inequality.
For example, the lowest value here is >4/4 (>1) because that is the smallest value from the first inequality divided by the largest value from the second inequality. The other extreme is the biggest value possible, which is <5/2 (<2.5).
Given these extremes, we can now rewrite the inequality.
(smallest value)<a/b<(largest value)
1<a/b<2.5
Heme d hey the girl who helped me please hl
Answers
Answer:
Parallel segments → 1
perpendicular segments → 2
congruent segments → 3
[tex]---------[/tex]
hope it helps...
have a great day!!
please solve thisssssszzzszzsszzssss
Answers
m
Which is equivalent to *_?
V2
OA.
xV2
2
2x
OB.
V2
Oc.
2x
12
OD.
D. **v2
2
O E V2x
Answers
Essentials of University Mathematics
Example 3.
Find the length of the vector PQ from the point P(3.-5. 2) to the
point QC-5.4.9)
Find a unit vector with the direction of PQ
Answers
Answer:
The length of the vector is of [tex]\sqrt{194}[/tex]
The unit vector with the direction of PQ is [tex](\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}[/tex]
Step-by-step explanation:
Vector from point P(3,-5,2) to Q(-5,4,9)
The vector is:
[tex]PQ = Q - P = (-5-3, 4-(-5), 9-2) = (8,9,7)[/tex]
The length is:
[tex]\sqrt{8^2+9^2+7^2} = \sqrt{194}[/tex]
The length of the vector is of [tex]\sqrt{194}[/tex]
Find a unit vector with the direction of PQ
We divide each component of vector PQ by its length. So
[tex](\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}[/tex]
The unit vector with the direction of PQ is [tex](\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}[/tex]
Which of the following terms correctly describe the object below?
Check all that apply.
A. Polygon
B. Pyramid
C. Triangle
D. Prism
E. Polyhedron
F. Square
Answers
Answer:
pyramid, solid, polyhedron
Step-by-step explanation:
The given figure is a pyramid.
What is a pyramid?A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point. A pyramid is formed by connecting the bases to a vertex. Each edge of the base is connected to the vertex, and forms the triangular face, called the lateral face.
The given figure is a square pyramid, since it has a square base where all the edges are joined at a common vertex by four triangular faces. A square pyramid characterized by a square base is a three-dimensional shape having five faces, thus called a pentahedron. The most famous example of such a square pyramid is the Great Pyramid of Giza.
Learn more about pyramid here
https://brainly.com/question/13057463
#SPJ2
Marking as brainliest
So basically I need u to in ur on words for the reasoning to explain to me how I got my answer. An the answer is in the second box I circled it btw this is 9th grade algebra!
Answers
you knew that it had to be a total of $60.60 and that the flat cost of the plan is $48. so you subtracted the flat cost from the total cost to get the amount that could be spent on gigabytes of data. since you knew that the gigabytes cost $3 each, you divided the remaining budget (12.60) by $3 and got the number of gigabytes that she can get.
sorry if that's confusing or wordy! hope it helps!
Choose the sentence that is out of sequence.
Mary Jo began reading The Alphabet Book.
Mother put Jimmy to bed.
Jimmy helped read.
Jimmy fell asleep.
Answers
Answer:
C.
Step-by-step explanation:
The perimeter of a rectangular mat is 16 feet. It is 6 feet long. How wide is it?
A 2 ft
B 1 ft
C3ft
D4ft
Answers
Answer:
2ft
Step-by-step explanation:
because perimeter of a rectangle formula is p=2(l+w)
ted is twice his sister's age and three years younger than joe. ted's sister is half of a century plus ten. how old is ted how old is ted's sister
Answers
Answer:
120, 60
Step-by-step explanation:
half a century = 60 + 10 x 2 = ted.
she is 60.
40 POINTS!!!!Which of the following is not a polynomial?
Answers
Answer:
5x²
Step-by-step explanation:
because polynomials are the expressions where many terms are involved
please help
question is in the picture I will mark brainliest
Answers
Answer:
(4,0)
Step-by-step explanation:
The x intercept is where the line in the function crosses the x axis or the horizontal line
in here we can see that the line crosses the x intercept 4 "lines" from the origin so we can say the origin is (4,0)
Remember when doing points ( #,#) the first number is the x position which in this scenario is 4 and the second number is the y position and in this case it's 0
The dot plot below shows the number of movies rented last month by students in Ms. Underwood's class.
What is the median number of movies rented?
A.
4
B.
6
C.
3
D.
2
Answers
Answer:
the answer gonna be 3
Answer: I the answer is 3 100%
Step-by-step explanation: I took the test
factorise the following binomial expression 2m+8m^2h
Answers
The GCF is 2m, so you would factor that out of the equation.
I hope my answer helps!
Four friends were born in consecutive years. The sum of their ages is 62.
What is the age of the oldest friend?
Answers
Answer:
4+62=66
Step-by-step explanation:
What’s the answer to this ?
Answers
Answer:
Step-by-step explanation:
[tex]0.25=\frac{x}{140} \\140*0.25=\frac{x}{140}*140\\35=x[/tex]
1st box: 140
2nd box: 140
3rd box: 35
GIVING EVERYTHING IF CORRECT. No fake answers, you will be reported.
Answers
Answer:
283.5
Step-by-step explanation:
Library Items Checked Out
2.3, 13. 3. 2. 2. 3. 6. 1, 2.8
find the range median
what is the outlier
Answers
Answer:
Soln,
2 has the highest frequency
Mode=2
250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table. If a person is selected at random, what is the probability that the person is taller than 180 centimeters and has black hair?
A) 0.257
B) 0.351
C) 0.360
D) 0.116
Answers
Answer:
Option D
Step-by-step explanation:
Total number of employees in the organization = 250
Total person who have height greater than 180 centimeters and also have black hair = 29
Probability of choosing a person who is taller than 180 centimeters and has black hair is
[tex]\frac{29}{250} = 0.116[/tex]
Hence, option D is correct
Answer:
The correct answer is D
Step-by-step explanation:
D) 0.116
You have to find the probability of choosing a person at random taller than 180 cm and with black hair.
In the data provided 29 people meet that criteria. Out of 250 people in total you just divide.
29/250=0.116