Complete Question
A cylinder is eight inches high with a radius of three inches.It contains a ball with a diameter of five inches. What volume is left unoccupied in the cylinder?
Answer:
160.74 cubic inches
Step-by-step explanation:
Step 1
Find the volume of cylinder
= πr²h
A cylinder is eight inches high with a radius of three inches.
Height = 8 inches
Radius = 3 inches
Volume of the cylinder = π × 3² × 8
= 226.19 cubic inches
Step 2
Find the volume of sphere
= 4/3 π r³
It contains a ball with a diameter of five inches.
Diameter = Radius /2 = 5/2 = 2.5 inches
Volume of the Sphere = 4/3 × π × 2.5³
= 65.45 cubic inches
Step 3
What volume is left unoccupied in the cylinder?
This is calculated as:
Volume of Cylinder - Volume of sphere
= 226.19 cubic inches - 65.45 cubic inches
= 160.74 cubic inches
Therefore, the volume is left unoccupied in the cylinder is 160.74 cubic inches
Consider a triangle ABC like the one below. Suppose that =C109°, =a46, and =b36. (The figure is not drawn to scale.) Solve the triangle
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
Answer:
Step-by-step explanation:
take 109 degree as reference angle
using sin rule
sin 109=opposite/hypotenuse
0.94=c/36
c=0.94*36
c=33.84
c=33.8
Maggie and jillian are both collecting postcards. Maggie has 4 times as many postcards as jillian. Maggie has 40 postcards.
How many postcards does jillian have?
Answer:
10
Step-by-step explanation:
braniyest pls
inez sells 24.8 acres of land for 22,568 what is the price per acre
Answer:
£910
Step-by-step explanation:
You have to divide the amount of acres by the overall price.
Hope this helped
if y=4x what does m equal
Answer:
m equals 4
Step-by-step explanation:
m represents the slope of the line.
The line equation is y = mx + b, which means that m = 4 and b = 0
Simplify for ez points!
Answer:A
Step-by-step explanation: divide both by 5 and you get 3/4 because 15 divided by 5 = 3 and 20 divided by 5 =4
Solve for x algebraically x/4 ≤ 6
Answer:
x ≤ 24
Step-by-step explanation:
x/4 ≤ 6
Multiply each side by 4
x/4 *4 ≤ 6*4
x ≤ 24
Answer:
[tex]x\leq 24[/tex]
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
What is taxes? What is Texas' tax rate?
Rectangle A and Rectangle B are similar. Rectangle A has side lengths of 12 and 15. Rectangle B has a side length of 60. What are the possible values for the length of the other side of Rectangle B? Select all that apply.
24
30
48
75
Answer:
75
Step-by-step explanation:
since rectangle A with 12 moves to 60 meaning it was multiply by 5 so therefore we multiply the 15 by 5 giving 75
Expand and combine like terms.
(4b^2+ 3) (4b^2- 3) =
1
SEE ANSWER
Answer:
Step-by-step explanation:
(4b^2+3)(4b^2-3)
since it is the expanded form of formula a^2-b^2=(a+b)(a-b) we can write,
=(4b^2)^2-(3)^3
=16b^4-9
helpppp!!!
Make a conjecture about the number of units produce in 50 hours
Find the following value
Answer:
∠ BCA = 45°, ∠ AWD = 90°
Step-by-step explanation:
All angles are right angles by definition.
Diagonals bisect the angles , so
∠ BCA = 45°
Diagonals are perpendicular bisectors of each other, so
∠ AWD = 90°
Plssssss helpppp meeee
Answer:
The paperclip measures 7.5 centimeters.
Step-by-step explanation:
This is for math pls help I need this done
Answer:
its upside down turn it around
Step-by-step explanation:
I need an Answer Immediately pls!!!!!!!!!
Answer:
2,033-993.50= 1039.50/74.25= 14
Step-by-step explanation:
not sure the exact equation but p would be 14 and you'd do something similar to that shown above
The coordinates of the vertices of BEA are B(1,2), E(-5,3), and A(-6,-3). Prove that BEA is isosceles. State the coordinates of point R such that quadrilateral BEAR is a square. Prove that your quadrilateral BEAR is a square.
Answer:
Step-by-step explanation:
New Note 2
Given coordinates:
B(1,2)
E(-5,3)
A(-6,3)
Part A, isosceles triangle
Need to find lengths of sides
BE^2 = ((-5-1)^2+(3-2)^2) = 36+1 = 37
BA^2 = ((-6-1)^2+(-3-2)^2) = 49+25 = 74
EA^2 = ((-6-(-5))^2+(-3-3)^2) = 1+ 36 = 37
Since BE^2 = EA^2, BE=EA, or triangle BEA is isosceles, with vertex at E.
Part B, find point R so that BEAR is a sqare
Need to show that the vertex angle, BEA is a right angle.
BA is diagonal and E is 90° if
BE^2 + EA^2 = BA^2
or
37+37 = 74
Hence angle BEA is right anglesd, and the two legs are eaual with length sqrt(37)
To find point R, we find the translation from point E to point B, i.e. from the vertex to end of one of the legs.
EB = B - E = (1-(-5))-(2-3) = <6,-1>
To find point R, apply this translation to the end of the other leg, i.e. point A,
R=A(-6,-3) + <6,-1>=R(0,-4)
Check:
RE (diagonal)^2 = ((0-(-5))^2+(-4-3)^2) = 25+49 = 74 checks
RB^2 = ((0-1))^2+(-4-2)^2) = 1+36 = 37 checks
RA^2 = ((0--(-6))^2+(-4-(-3))^2) = 36+1 = 37 checks
what is law of sines
Answer:
In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles
The Law of Sines (or Sine Rule) is very useful for solving triangles:
a/sin A=b/sin B=c/sin C
hope this helps
have a good day :)
Step-by-step explanation:
-4i+ 3i= i- 8+ 3i- 12
Answer:
Step-by-step explanation:
-4i+3i=i-8+3i-12
-i=4i-20
20=4i+i
20=5i
20/5=i
4=i
Based on the pattern in the picture, how many squares do you think will be used to create the 5th figure? make a table.
Answer:
I think it is 7 squares.
Step-by-step explanation:
As you can see they added 3 more squares to the first block which gave you 4. Then they added 5 squares to the second one. If you take the third block, you will count 7 squares on the outside of the third block.
PLZ HELP PLZ PLZ ILL MARK AS BRAINLIESTT!!
Answer:
A. Yes, [tex]12\cdot 32> 360[/tex]
B. An underestimate could lead to you being stranded on a road trip in the middle of nowhere without guess. When it comes to these things, it's better to have more than necessary. After all, you'd rather have gas and not need it than need it and not have it.
Step-by-step explanation:
A. We can quickly calculate that 12 x 30 = 360. We need to travel 10 more miles to get to 370, but we have 2 miles per gallon and 12 gallons of gas, or 12 x 2 = 24 more miles! Upon further inspection it is evident that 12 x 32 = 360 + 24 = 384 which is indeed larger than 370.
B. Answer contains explanation.
Someone help me with 20 and 19 ASAP please and thank you!!
19) No, 3 should multiply both x and 2. As they, (x+2) are both inside the parentheses. The correct answer should be 3x + 6.
20) No, when it comes to exponents and multiply, exponents is done first before multiply. Therefore, Brett should square 3 first before multiplying it by 2. the correct steps should be
2 * 3^2 + 5
= 2* 9 + 5
=18 + 5
=23
Solve the angle using trigonometry
Answer:
Step-by-step explanation:
Um angle T and R don't exist on this triangle. Only sides and Angles A B C.
But remember Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
S o/h C a/h T o/a
Please help me!
Find the indicated sum for each sequence.
S9 of –9, 36, –144, 576, ...
Answer:
the answer is to multliply it by -4
the difference between two positive Integers is 36 . the quotient, when one integer is divided by the other is 4 . find the two integers and solve explain
Answer:
They are both even numbers and they both go into eachother at least once
Step-by-step explanation:
Simplify.
7/8 x 1 1/3
A. 7/24
B. 28/24
C. 1 1/6
D. 1 7/24
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Answer:
a mans car...
Step-by-step explanation:
a man's car breaks down while driving to work
because all the other ones are in their head
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Answer:
2) $300
Step-by-step explanation:
I used the the following two points to find slope:
(9,400) and (8,350) to get a slope of 50
therefore, f(x) = 50x
f(6) = 50(6)
f(6) = 300
PLEASE HELP ASAP ILL MAKE BRAINLIEST HURRY
The graph below shows the amount of money earned based on the number of hours spent tutoring.
Select all the true statements based on the graph.
A
Point C represents the total amount earned after tutoring for 4 hours.
B
The total amount earned is $6 after tutoring for 90 hours.
C
The total amount earned is $15 per hour.
D
The point (5,75) represents that $75 was earned after tutoring for 5 hours.
Answer: C and D
Step-by-step explanation:
Answer:
A and B are both credible on the graph.
Find the inverse of function f. A.f-1(x)=7x+9 B.f-1(x)=1/9x-7/9 C.f-1(x)=7/9x-1/9 D.f-1(x)=-9x-7
Answer:
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Step-by-step explanation:
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Ronald was given the pair of equations shown below, which are in slope-intercept form (y = mx + b):
y = 3x − 2
y = 5x − 6
Part A: Ronald does not know how to solve the system of equations. Help him by writing the slope (m) and y-intercept (b) for each equation, and in your own words, explain how you can solve the pair of equations graphically.
Part B: Now that you have helped get Ronald started, solve the system and write the solution to the pair of equations in (x, y) format so Ronald can check his work and answer.
Step-by-step explanation:
y = mx +b
m - the slope; b- y-intercept
therefore;
y = 3x - 4
m = 6; b = -4
y = 5x - 3
m = 5; b = -3
The coordinates of the point where the lines are crossed are the solution to the system of linear equations.
How to graph the lines:
y = 6x - 4
y-intercept (0; -4)
for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)
y = 5x - 3
y-intercept (0; -3)
for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)
***look at the img for graph reference***
Part B: x = 1; y = 2
Question 4 (1 point)
What is the area of a circle whose circumference is 28TT? Use 3.14 as the value of IT.
A. 1230.88 Square Units
B.615.44 Square Units
C.307.72 Square Unit
D.2461.76 Square Units
Answer:
B
Step-by-step explanation:
[tex]Circumference=2\pi r=28\pi \\2r=28\\r=14\\Area= \pi r^2=\pi 14^2=3.14*14^2=615.44[/tex]