Answers
351.86cm^3
Explanation:
Well, the volume of the part we need to take out is approximately 157.08cm^3 (with a radius of 2.5 and a height of 8). Now we have to find the volume of the larger cylinder (with a radius of 4.5 and a height of 8), which is approximately 508.94cm^3. Now subtract the volume of the little cylinder from the volume of the large cylinder (508.94cm^3 - 157.08cm^3). The volume of the metal casting is 351.86cm^3.
(your teacher might want you to round differently)
:)
Related Questions
which equation could be used to find the surface area of the net of the triangular prism
Answers
Answer:
2 B + p h
Step-by-step explanation:
The Surface Area = 2 B + p h
B is the area of the triangular base of prism
p perimeter of the base and
h the height of the prism
Answer:SA=(1/2)(5)(12)+(1/2)(5)(12)+(5)(2)+(12)(2)(13)(2)
Ans C
Step-by-step explanation:
Edgy
Which expressions are equivalent to 2 ( b + 3 c ) 2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis ? Choose all answers that apply:
Answers
Answer:
2(b + 3c)²(b + 3c)² is equivalent to
2b^4 + 8b³c + 12b²c² + 8b²c³ + 2c^4
Step-by-step explanation:
The expression
2(b + 3c)²(b + 3c)²
Is equivalent to the expression
2(b + 3c)^4
This can be further expanded using the Pascals triangle as
2(b^4 + 4b³c + 6b²c² + 4b²c³ + c^4)
= 2b^4 + 8b³c + 12b²c² + 8b²c³ + 2c^4
Write a numerical expression for the calculation.
Add 79, 139, and 19, and then divide by 27.
Answers
Answer:
(79+139+19) / 27
answer is 8.77 repeating if you need it
Step-by-step explanation:
Please answer the following attachment down below.
I would greatly appreciate it if you did.
Answers
Answer:
34.63
Step-by-step explanation:
A=a2+2aa2
4+h2=32+2·3·32
4+42≈34.63201
Which of the following has no solution?
(x + 1<-1) n (x + 1< 1)
(x + 1 s 1) n (x + 12 1)
(x +1<1) n (x + 1 > 1)
Answers
Answer:
(x + 1 s 1) n (x + 12 1)
(x +1<1) n (x + 1 > 1)
Step-by-step explanation:
Just simplify each the statements.
Then compare and and see if the statements are contradictory and therefore FALSE, if so, then there is no solution.
(x + 1<-1) n (x + 1< 1)
(x <-2) n (x < 0) which is true, so there is a solution.
(x + 1 s 1) n (x + 12 1)
this doesn't make sense so there is no solution.
(x +1<1) n (x + 1 > 1)
(x < 0) n (x > 0)
This is not possible, the statements are contradictory and therefore FALSE, so there is no solution.
Please answer ASAP!!! Will give Brainliest !!!!!
Answers
Answer: D, B, C ,A
A being the greatest
Step-by-step explanation:
how much is nine plus ten I forgot
9+10= ?
Answers
Answer: the answer is 19
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
A statistics student wants to examine if there is a difference in the commute times for students and faculty at her community college. She collected data from a random sample of 10 faculty and 10 students. The commute times (in minutes) are given below.
Faculty 5 12 12 15 12 22 25 30 35 45
Students 10 12 14 15 15 20 22 24 25 30
Determine and enter the five-number summary for the commute times (in minutes) of the two samples. Include all calculations in your answer, round to two decimal places.
Answers
Answer:
Step-by-step explanation:
To find the five-number summary for the commute times (in minutes) of the two samples, we would determine the lowest, highest, first quartile, median and third quartile for each set of values.
1) Considering the data for faculty, arranging in ascending order, it becomes
5 12 12 12 15 22 25 30 35 45
Minimum = 5
Maximum = 45
Median = (15 + 22)/2 = 18.5
Placing the median in the data, it becomes
5 12 12 12 15 18.5 22 25 30 35 45
The median divides the data into the lower and upper halves
First quartile is the 25% mark. It is also the middle of the lower halve. Therefore,
First quartile = 12
Third quartile is the 75% mark. It is also the middle of the upper halve. Therefore,
Third quartile = 30
2) Considering the data for students, arranging in ascending order, it becomes
10 12 14 15 15 20 22 24 25 30
Minimum = 10
Maximum = 30
Median = (15 + 20)/2 = 17.5
Placing the median in the data, it becomes
10 12 14 15 15 17.5 20 22 24 25 30
The median divides the data into the lower and upper halves
First quartile is the 25% mark. It is also the middle of the lower halve. Therefore,
First quartile = 14
Third quartile is the 75% mark. It is also the middle of the upper halve. Therefore,
Third quartile = 24
What are the coordinates of point C
Not sure if I’m right or wrong
Answers
Answer:
x always comes first so that is 0
then it is y and that is -6 so the answer is (0,-6) aka B
IF i could get brainliest that would be great
Answer: (0, -6)
Step-by-step explanation: When finding the coordinates of a given point, be very careful with your signs.
On the x-axis, left means negative and right means positive and
on the y-axis, down means negative and up means positive.
So to find the coordinates for point C, we start at the origin
which is where the x-axis and y-axis intercept.
So, we go 0 units to the left or right and 6 units down.
So that's (0, -6).
Remember that the first number in the ordered pair represents the x-coordinate or how far we move to the left or right from the origin and the second number represents the y-coordinate or how far we move up or down from the origin.
Natasha bought a necklace and 4 identical bracelets. A necklace cost $294 more than a bracelet. Natasha paid $3519 for her purchases. What was the cost of the necklace?
Answers
Cost of necklace is $939 and cost of bracelet is 645
Cost based problem:Given that;
Number of necklace = 1
Number of bracelets = 4
Cost of necklace = Cost of bracelets + 294
Find:
Cost of necklace
Computation:
Assume;
Cost of bracelets = a
Cost of necklace = a + 294
So,
4a + a + 294 = 3519
5a + 294 = 3519
5a = 3225
a = 645
Cost of necklace = 645 + 294
Cost of necklace = $939
Find out more information about 'Cost'.
https://brainly.com/question/26870380?referrer=searchResults
The distance of a point ( 0 , -3 ) from the origin is
Answers
Answer:
3
Step-by-step explanation:
A(0, -3); O(0,0)
AO=√[(0-0)²+(0+3)²]=√3²=3
The scale balanced when n + 20=50. Suppose the left becomes n+3. How can you change the right side so that n+3=__ is equivalent to n + 20=50?
Answers
Answer:
33Step-by-step explanation:
If n + 20 = 50 then n = 30
n + 3 = 33
I'm always happy to help :)
The quotient of 8 times a number and 6 is -2. What is the number?
Answers
Answer:
-3/2
Step-by-step explanation:
8n/6 = -2 . . . the quotient of 8 times a number and 6 is -2
n = -12/8 = -3/2 . . . . multiply by 6/8
The number is -3/2.
which of the following points is on the graph of the y=-4x^2-x+5?
A.(10,-400)
B.(-6,-133)
C.(5,-105)
D.(-9,-309)
Answers
Answer:
(10,-400)
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
If you use a table, B is the only point that falls on the graph.
JC is making a poster for Bike Safety Week. The diameter of circle A is 18 in. If the area of circle B is the area of circle A, what is the area of circle B? (Use 3.14 for .)
Answers
Answer:
254.34
Step-by-step explanation:
area = [tex]\pi r^{2}[/tex]
area B = 3.14 x [tex](\frac{18}{2})^{2}[/tex] = 254.34
Round 55 to the nearest tenth and then divide the number by 2
Answers
Answer:
30
Step-by-step explanation:
55 rounded to the nearest ten is 60
60/2=30
Answer:
30
Step-by-step explanation:
55 is closer to 60 than 40. And you divide 60 by 2 you get 30.
Angle A is circumscribed about circle O. What is the measure of A.
Answers
Answer:
88
Step-by-step explanation:
Sum of angles in a quadrilateral= 360 degrees
<OCA=90degrees [ tangent perpendicular to the circle.
<OBA= 90degrees =tangent perpendicular
to the circle
<OCA + <OBA +92 + <OAB= 360
90 + 90 + 92 + <OAB = 360
272 + < OAB = 360
<0AB= 360- 272 =88 degrees
Answer: 88
Step-by-step explanation: Khan Academy
Simplify the expression (–2a) (-7a^4). Please show steps
Answers
Answer:
(2•7a5)
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
-2a • (0 - 7a4)
Step 2 :
Multiplying exponential expressions :
2.1 a1 multiplied by a4 = a(1 + 4) = a5
Find the vertex of the parabola.
y = 3 x squared minus 30 x + 77
a.
( -2, -5)
c.
( 5, 2)
b.
( -5, -2)
d.
( 2, 5)
Answers
Given f(x) = 2x² + 8x - 4 and g(x) = 5x +6, find 3f(x) – 2g(x).
Answers
Step-by-step explanation:
When the problem says 3f(x), it means that you are multiplying f(x) by 3. The same goes for 2g(x).
[tex]3(2x^2+8x-4)= 6x^2+24x-12[/tex]
[tex]2(5x+6) = 10x+12[/tex]
Now, we subtract f(x) from g(x) after being multiplied.
[tex](6x^2+24x-12)-(10x+12)[/tex]
[tex]6x^2+14x-24[/tex]
Suppose that an individual has a body fat percentage of 16.7% and weighs 188 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
Answers
Answer:
15.867
lbs or almost
16
lbs.
Step-by-step explanation:
Determine the value of x
Answers
Answer:
The value of x is 12 feet
Step-by-step explanation:
The shape in question is a composite shape. We can see that x is both the base of the triangle and the breadth of the rectangle.
To get the area of the shape, we will have to add the area of the rectangle to the area of the triangle.
Area of rectangle = length X breadth
Area of triangle = 1/2 base X height.
However, to calculate the area of the triangle, we need to find its height first.
The next step is to get the height of the triangle. Observing the shape properly, we can see that we can get the height by subtracting the length of the rectangle from the overall length of the shape.
Height of triangle = 16 ft - 10 ft = 6 ft
recall area = 156 square feet.
We now have most of our missing dimensions
We can now set up an equation as follows:
[tex](10 \times x) +0.5 \times x \times 6 = 156[/tex]
[tex]10x +3x=156\\13x=156\\x=12 feet[/tex]
Therefore the value of x is 12 feet
En una academia hay 3 aulas, el aula roja, el aula azul, y el aula negra. Los estudiantes están reportados de la siguiente manera:
. el aula roja tiene el 50% de los estudiantes
. el aula azul, tiene el 30%de los estudiantes.
. el aula negra tiene, tiene el 20% de los estudiantes.
Los hombres están reportados de manera uniforme, pues en cada aula hay un 40% de hombres, si se selecciona estudiante al azar:
a) ¿Cuál es la probabilidad de que sea una mujer del aula azul?
b) ¿Cuál es la probabilidad de que sea hombre del aula negra?
Answers
Answer:
To solve this problem, we just have to multiply.
(A) The event: woman in the blue class room is related to 60% of women representation and 30% of students representation in the blue classroom.
Therefore, the chances of choosing a woman student from the blue classroom is
[tex]P= 0.60 \times 0.30 = 0.18[/tex]
Which is equivalent to 18% of probability.
(B)We apply the same process to find the probability of choosing a man from the black classroom.
[tex]P= 0.40 \times 0.20 = 0.08[/tex]
Which is equivalent to 8% of probability.
Therefore, there's a 18% of chances of choosing a woman from the blue classroom, and there's a 8% of changes of chossing a man from the black classroom.if D is the center of the circle below and AC measures 48, what is the measure of ABC
Answers
Answer:
24
Step-by-step explanation:
How do we know that a circle must complete up to 180, then we have to:
180 - 48 = 132
Now knowing this distance we can also know the other, starting from the same concept, in addition to what the circle below is like, a semicircle refers to so we divide by 2:
(180-132) / 2 = 24
Therefore the answer is 24.
We can also do it ABC is half of ADC. So ABC = 48/2 = 24
24 is the answer
Step-by-step explanation: Its correct
the denominator of the seventh term is what? 1,1/8,1/27,1/64,...,1/n^3,...
Answers
Answer:
F(1) =1/1 = 1/1^3
F(2) =1/8 = 1/2^3
F(3) =1/27 = 1/3^3
...
F(n) =1/n^3
=> F(7) = 1/7^3 = 1/343
Hope this helps!
:)
Answer:
The denominator of the 7th term is
343
House A is twice as tall as house B. How tall is house B.
Answers
Answer:
12ft
Step-by-step explanation:
house A = 2*house B
24 = 2*b
24/2 = 12
Answer:
house B is 12 because 24 divided by two is 12
The surface area of the cushion in square inches
Answers
Answer:
The answer is 1,787.75 square inches
Step-by-step explanation:
Answer:
1,787.75
Step-by-step explanation:
find f(-1) if f(x) = -2x^2 -x
Answers
I hope it was helpful to you
if u like follow me
What is 8 to the power of 2
Answers
Answer:
64
Step-by-step explanation:
[tex] {8}^{2} = 8 \times 8 = 64[/tex]
We can use two data points to find the linear function that relates the two quantities. For example, a linear function relating calories (C) consumed over days(d) can be generated from the following data: -After 3 days 4,100 calories have been consumed. -After 8 days 10,600 calories have been consumed. The slope of this function is________ and indicates the number of calories consumed each day. The y-intercept of this function is_________ and indicates the calories consumed at day . This function can be modeled by C=______
Answers
Answer:
Step-by-step explanation:
Let the number of days be x because x is the independent variable
Any y is the number of calories consumed the dependent variable.
Now slope = y2 - y2/ x2 - x2
= 10600-4100/8-3
= 6500/5 = 1300
From our analysis we know it consumes 1300 per day so ideally on day 3 we expect him to consume 1300x3= 3900
But the given value is 4100
This means it's inherent energy is 4100-3900= 200
This is the y- intercept and it occurs when x= 0
from the above explanation we know that
C = 200. and it's the y- intercept.
Look at the general equation of a line
y = mx + C; when x= 0, y = C; note we define C as the value of y when x = 0