Answers
Answer:
1. 150.8 in³ (rounded to tenths place) or 48π (in terms of Pi) depending on whether your teacher wants the answer in terms of Pi or not.
2. 113.1 in³ (rounded to tenths place) or 36π (in terms of Pi)
Step-by-step explanation:
The formula for the volume of a cylinder:
height of the cylinder X Pi X (radius of the cylinder)²
1. 4² is 16, 16*3 is 48, times Pi is 48π or 150.796447.
2. 3² is 9, 9*4 is 36, times Pi is 36π or 113.097336
Let me know if you need help rounding to hundredths or thousandths place.
Related Questions
Dean gets a tip of 15% on every meal she serves at the restaurant she works. Smith's bill was $10,300.00. How much tip did Dean get?
Answers
Answer:
Tip Total: $ 154,500.00
Total (Bill + Tip): $ 1,184,500.00
Use the vertical method
Answers
Answer:
(b) 4a³
Step-by-step explanation:
The value of B is the sum of the a-cubed terms:
12a³ -6a³ -2a³ = (12 -6 -2)a³ = 4a³ . . . . . matches the 2nd choice
__
Additional comment
A = (-2a)(-2a) = 4a²
An angle between 0 and 2π that is coterminal with 960° is
Answers
Answer:
4 pi/3
Step-by-step explanation:
960 degrees in standard position is the same thing as 960-360 = 600 degrees in standard position because rotating the second line 360 degrees just brings it back to where it started.
Do it again to get 600 - 360 = 240
240 degrees would end up in the same spot as 600 degrees and 960 degrees, so they are all coterminal.
Convert 240 degrees to radians:
240 * pi/180 = 4pi/3.
12 meters equals how many kilometers?
Answers
Answer:
0.012
Step-by-step explanation:
Answer:
0.012km is the correct answer
Liz is 36 years old. Liz's age is 3 years older than two times Rylan's age. Let x represent Rylan's age. Which equation can be used to solve for Rylan's age?
if someone does answer, could you write out the steps? >.
Answers
Answer:
i hope this is what you are looking for
Step-by-step explanation:
liz is 36
rylan is 75
36*2 is 72
72+3 is 75
y= x (rylan's age)-3 /2
75-3=72
72/2
36
What is the slope of the line that passes through the points (3,9) and (7,5)? Write
your answer in simplest form.
Answers
Answer:
M = -1
Step-by-step explanation:
Use the slope formula:
M = (y2-y1)/(x2-x1)
M = (5-9)/(7-3)
M = -1
The required slope for the lines -1.
Given that,
To determine the slope of the line that passes through points (3,9) and (7,5).
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx, where x is in degrees.
What is simplification?The process in computation to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Slopes of the line can be given as,
m = [y₂ - y₁ ] / [x₂ - x₁]
for points, (3,9) and (7,5)
m = 5 - 9 / 7 - 3
m = -4 / 4
m = 1
Thus, the required slope for the lines is -1.
Learn more about slopes here:
brainly.com/question/3605446
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Answers
Solve for x. 3/4x - 2=8
Answers
Answer:
Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.
Exact Form:
[tex]x = \frac{40}{3}[/tex]
Decimal Form:
[tex]x=13.3[/tex]
Mixed Number Form:
[tex]x=13\frac{1}{3}[/tex]
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can you help me? please
Answers
Answer:
C, $769 per week
Step-by-step explanation:
There are 52 weeks in a year. To find the answer to this question, divide $40,000 by 52 to get $769.230769231, rounded to $769.
State the x value of the x intercept describe by the following
linear equation: (-3x-2y = 9
Answers
Answer:
x=-3
Step-by-step explanation:
-3x-2y=9
-3x-2(0)=9
-3x-0=9
-3x=9
x=-3
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What is 3,00 +1
Answers
Answer:
3,000 + 1 = 3,001
Step-by-step explanation:
Just add it vertically.
3,000
+ 1
3,001
Answer:
3,000+1=3,001
Step-by-step explanation:
Just simple logic
I’ll give Brainly…!!!!
Answers
Answer:
AA
Step-by-step explanation:
ΔCSR and ΔMDR share ∠CRS
Since lines [tex]n[/tex] and [tex]k[/tex] are parallel, ∠C ≅ ∠M and ∠S ≅ ∠D. These are corresponding angles.
Either of these sets of angles could be used along with ∠CSR to prove that ΔCSR and ΔMDR are similar because of AA.
A boy starts from a point A and walks 4 km due east to B. He then changes direction and walks 3 km due north to C. Find the distance of C from A.
Answers
Answer:
Distance C from A =5km
Step-by-step explanation:
use the Pythagoras theorem's
{AC}^{2} = {BC}^{2} + {AB}^{2}
AC=✓3^2 + 4^2
AC = ✓9+16
AC = ✓25
AC = 5 km
therefore, C from A = 5 km
Fourteen less than five times a number is three times the number.
Answers
Answer:
False
Step-by-step explanation:
Answer:
5x-14=3x
Step-by-step explanation:
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Answers
Answer:
can you please tell me the chapter
You have a bull's eye where each section is 2" wide as shown in the diagram. Find the following probabilities.
Answers
Answer:
a) 1/16
b) 7/16
Step-by-step explanation:
a) The area of the outside circle is π (8")² = 64π in².
The area of the center circle is π (2")² = 4π in².
So the probability is (4π / 64π) = 1/16.
b) The area of the outside strip is π [(8")² − (6")²] = 28π in².
So the probability is (28π / 64π) = 7/16.
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Answers
The type of triangle is an isosceles triangle
An arch over an apartment entrance is 3 feet high and 9 feet wide. Find the radius of the circle containing the arc of the arch.
Answers
Answer:
13.5
Step-by-step explanation:
When finding radius you would divide the diameter by 2, and the diameter is (3 times 9) 27. Thus 27 divided by 2 = 13.5
Hope this helps :D
Cani get help please show work
Answers
Answer:
1020 cm²
Step-by-step explanation:
The area of a trapezoid is given by:
Area=(big base+small base)/2 ×h
So,
Area=(TR+PA)/2 ×h
Area=(54+31)/2 ×24
Area=85/2 ×24
Area=42.5×24
Area=1020 cm² or Area=0.102 m²
A 9-pound bag of white rice costs $53.28. What is the price per ounce?
Answers
Answer:
per ounce is $5.92
Step-by-step explanation:
All you gotta do is 53.28 divided by 9 $5.92!
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Can someone PLEASE show me how to do this! If f (x) = x^2 + 3x +2/ x +3, then f’ (x) =
Answers
Answer:
c
Step-by-step explanation:
The equation =( denominater * derivative of numerator - numerator * derivative of denominator) / denominator ^2
so the qstn is (x^2 + 3x +2) / (x+3)
apply the values as the above eqtn states
ie,[ (x+3) * derivative of (x^2 +3x + 2)] - [( x^2 +3x + 2) *derivative of (x+3)] /
(x+3)^2
derivative of numerator, (x^2 +3x + 2) is 2x+3
" of denominator, (x+3) is 1
so we get
[(x+3)* (2x + 3 ) - (x^2 +3x + 2) *1 ] / (x+3)^2
open the brackets
[ 2x^2 + 3x + 6x + 9 - x^2 +3x + 2 ] / (x+3)^2
subtract similar terms and we get the final answer in option c
At the airport, ten people are waiting on standby. two seats become available, one first class and one coach. how many ways are there to fill the two seats?
Answers
At the airport, ten people are waiting on standby. two seats become available, one first-class and one coach, There are 90 ways to fill the two seats.
It is given that there are ten people waiting on standby.
Two seats are available, One is first class and another one is coach.
It is required to find how many ways are there to fill the two seats.
What is permutation?A permutation can be defined as the number of ways a set can be arranged.
We have ten people and two seats in which only two people can seat out of ten.
It is a problem based on the permutation concept.
So for the first seat, there are 10 ways to fill the first seat
and for the second seat, there are [tex](10-1)[/tex] ways to fill the second seat.
If "P" is the number of ways we can assign the seats:
Then, P = 10×(10-1) = 10×9 = 90
Thus, there are 90 ways to fill the two seats.
Learn more about permutation here:
https://brainly.com/question/1216161
Answer:
D. 90
Step-by-step explanation:
Have a good day!
Find the midpoint of the line that contains the endpoints (5,2) and (-4,-3)
Answers
Answer:4,2
Step-by-step explanation: is u divide both side with 2 that will be your answer
Answer:
Your answer is: Midpoint = (0.5, -0.5)
Step-by-step explanation:
(xa+xb/2 , ya+yb/2)
Plug the points ---> (5,2)(-4,-3)
= (1/2 , -1/2)
In decimal form it would be: (0.5,-0.5)
Hope this helped : )
The number of tickets sold each day for an upcoming performance is given by p(x) = -0.4x2 + 8.8x + 13, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?
Answers
Answer:
The maximum sale of the tickets is 158 on the [tex]11^{th}[/tex] day.
Step-by-step explanation:
The number of tickets sold each day, p(x), for an upcoming performance is
[tex]p(x)=-0.4x^2+8.8x+13[/tex]
where x is the number of days since the concert was first announced.
For peak sales, the point of maxima has to be determined.
So, differentiate the function of the number of tickets sold each day, p(x), with respect to the number of days, x, and equate it to zero to get the extremum point (maxima or minima), i.e.
[tex]\frac {p(x)}{dx}=0[/tex]
[tex]\Rightarrow -0.8x+8.8=0[/tex]
[tex]\Rightarrow x=\frac{8.8}{0.8}=11[/tex]
Now, check the sign of the second derivative at x=11, to ensure the obtained point is corresponding to the maxima or minima,
[tex]\frac {p^2(x)}{dx^2}=-0.8[/tex]
As the second derivative is negative, so x=11 is the point corresponding to maxima.
Hence, on the [tex]11^{th}[/tex] day the daily ticket sales will be at the peak.
Putting x=11 in the function p(x) to get the number of tickets sold that day.
[tex]p(x=11)= -0.4(11)^2+8.8(11)+13[/tex]
[tex]\Rightarrow 158.2.[/tex]
The number of tickets should be an integer, the obtained peak value is 158.2 so the higher integral value is not possible but the lower integral value is possible.
So, the maximum sale of the tickets is 158 on the [tex]11^{th}[/tex] day.
Which product is equivalent to -7 × 25?
Answers
Answer:
-175
Step-by-step explanation:
Answer:
-175
Step-by-step explanation:
Calculators are very useful, :).
A group of people dined at a restaurant. The price of shared appetizers was $28, and the average price of each person’s entrée was $12. If the total amount of the bill, including a 20% tip, was $120, how many people were in the group?
Answers
Answer:
6 people
Step-by-step explanation:
1. Solve for x
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Answers
Answer:
13
Step-by-step explanation:
Assuming that this is a right triangle, we can use the Pythagorean theorem.
[tex](length-of-leg-1)^2+(length-of-leg-2)^2 = (length-of-hypotenuse)^2\\15^2 + x^2 = (\sqrt{394} )^2\\225 + x^2 = 394\\x^2 = 169\\x = 13[/tex]
Hope that helped!
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13d +8= -1
d=?
Answers
Answer:
d = (-9/13)
Step-by-step explanation:
13d + 8 = -1
-8 -8
13d = -9
÷13 ÷13
d = ( -9/ 13 )
I hope this helps!
Answer:
d = -9/13
Step-by-step explanation:
13d +8= -1
Subtract 8 from both side
13d +8-8= -1-8
13d = -9
Divide 13 from both side
13d/13 = -9/13
d = -9/13
solve multi-step equations iready
-5m=3
m=?
Answers
Answer:
m = -3/5
Step-by-step explanation:
-5m = 3
Divide each side by -5
-5m/-5 = 3/-5
m = -3/5
The American Heritage Center at the University of Wyoming is a conical building. If the height is 77 feet, and the area of the base is about 38,000 square feet, find the volume of air that the heating and cooling systems would have to accommodate.
Remember the formulas
Volume of a cylinder = πr^2h
Volume of a cone = πr^2h/3
Volume of a circle = πr^2
Volume of a sphere = (4/3)πr^3
Answers
The volume of the cone is 35069.35ft^3 which is equivalent to the air the heating and cooling system would accommodate
Data;
Height = 77 feetArea = 38,000 ft^2Volume of a Cone = ?Volume of a ConeThe shape of a cone has a spherical base. From the given data, we can find radius of the sphere from this.
[tex]A = \frac{4}{3}\pi r^3\\38000 = \frac{4}{3}* 3.14 * r^3\\4.186r^3 = 38000\\r^3 = \frac{38000}{4.186} \\r^3 = 9077.878\\r = \sqrt[3]{9077.878} \\r = 20.86ft[/tex]
The volume of a cone is given as
[tex]v=\frac{1}{3} \pi r^2 h\\v = \frac{1}{3} * 3.14 * 20.86^2 * 77\\v = 35069.35ft^3[/tex]
The volume of the cone is 35069.35ft^3
Learn more on volume of a cone here;
https://brainly.com/question/15321521