A cylinder of clay has a radius of 6 cm and a height of 12 cm. If this clay is made into congruent cones with a radius of 3 cm and a height of 8 cm, how many cones could be made with all of the clay? Show work to support how you determined your answer.
Answer:
So we want to know how much clay did Joseph add after he built the cone. So the formula for the volume of the cone is V=(1/3)*pi*r^2*h where r is the radius and h is height. We know h1=12cm and r1=6cm, r2=6cm and h2=18 cm. So to get the amount of added clay Va we simply subtract the volume of the clay of the first cone V1 from the volume of the second cone V2: Vd=V2-V1=(1/3)*pi*(r1^2)*h1 - (1/3)+pi*(r2^2)*h2. Va=678.24 cm^3-452.39 cm^3= 266.08 cm^3.
Step-by-step explanation:
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Answer:
The first one.
Step-by-step explanation:
1. 2,500,000
2. 360,000
Which of the following functions has a range of f(x) 2 2?
O A. f(x) = 2x + 8
OB. f(x) = 4x + 2
O C. f(x) = (x - 1)2 + 2
O D. f(x) = -x2 + 2
Answer:
A.f(x)=2x+8
22=2x+8
-8+22=2x
14/2=2x/2
7=x
x=7
B.f(x)=4x+2
22=4x+2
-2+22=4x
20/4=4x/4
5=x
x=5
The slope of a line can tell you
Choose all that apply.*
how steep the line is.
the length of the line.
if the line is positive or negative
plsss help
Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. Write and solve an inequality to find how many hours she will need to babysit to buy the dress. Interpret the solution.
she will need two more hours to buy the dress
HI ME AGAIN I WOULD APPRECIATE IF YOU CAN HELP
Answer:
75 students were surveyed!
Step-by-step explanation:
strawberry: 25
coffe: 35
vanilla: 10
fudge ripple: 5
Just add that all together
[tex]25 + 35 = 60[/tex]
[tex]10 + 5 = 15[/tex]
[tex]60 + 15 = 75[/tex]
so 75
Find the area of the semi circle with a radius of 2 feet
Answer:
area of semi circle πr=π×2=44/7 feet²
HELP! i don’t understand and it’s due today.
Answer:C
Step-by-step explanation:sorry if i get it wrong
Answer:
A
Step-by-step explanation:
9. A right triangle is drawn in a circle, as shown in the picture below. The legs of the right triangle are radii and have a length of 6.8 centimeters. What is the length, in centimeters, of the hypotenuse to the nearest tenth
Answer:
B.9.6cm
hope it helps. good day if I'm wrong tell me.
can i get help please so much :)
Answer:
Mean: 76.6 (rounded the original number- 76.571)
Median: 75
Mode: 75
Range: 49
Standard Deviation: 14.50 (i round it, original number- 14.4504)
Step-by-step explanation:
I calculated everything, please lemme know if any of it is wrong!
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See pic attached.
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Answer:
4250 children.
Step-by-step explanation:
72 - 38 = 34
34 degrees = 578 people
/34 /34
1 degree = 17 people
72 + 38 = 110
360 - 110 = 250
17 * 250 = 4250 children.
. A movie company sells DVDs on line. Each
DVD costs $9.95. No matter how many you
order, the shipping charge is $3.59. Your most
recent order came to a total of $33.44.
Please help on all questions in picture
Multiply by cost of a dvd by the number of dvds bought ( x) and add the shipping charge.
A) 33.44 = 9.95x + 3.59
Subtract 3.59 from both sides.
29.85 = 9.95x
Divide both sides by 9.95
X = 29.85/9.95
X = 3
They bought 3 dvds.
B) 33.49-3.59 = 29.85
29.85/9.95 = 3
C) the steps were the same but solving arithmetic you didn’t have to do steps on both sides of an equation.
Two bottles and their labels are mathematically similar.
The smaller bottle contains 0.512 litres of water and has a label with area 96 cm².
The larger bottle contains 1 litre of water.
Calculate the area of the larger label.
Answer:
The area of the larger label is 187.5 square centimeters.
Step-by-step explanation:
If the two bottles are mathematically similar, then the label area is directly proportional to the capacity of the bottle. If we know that a 0.512 L-bottle has a label area of 96 square centimeters, then the label area of a 1-L bottle is determined by this simple rule of three:
[tex]x = 96\,cm^{2}\times \frac{1\,L}{0.512\,L}[/tex]
[tex]x = 187.5\,cm^{2}[/tex]
The area of the larger label is 187.5 square centimeters.
Please help! Will give good rating
Answer:
88 ft²
Step-by-step explanation:
Find the area of the shaded region:
8x16= 128
Find the area of the un-shaded region:
5x4=20
20x2 regions= 40 ft² total
since the unshaded region is excluded from the shaded region subtract the area of the shaded region by the area of the unshaded region
128-40= 88
A= 88 ft²
What steps transform the graph of y = x? to y = -(x + 3)2 + 5?
translate 3 units to the right, translate down 5 units
translate 3 units to the left, translate up 5 units
o reflect across the x-axis, translate 3 units to the left, translate up 5 units
reflect across the x-axis, translate 3 units to the right, translate down 5 units
Answer: reflect across the x-axis, translate 3 units to the right, translate down 5 units and look at the picture
Step-by-step explanation: Hope this help :D
The equation h=4+7t can be used to determine the height of a flag (h, In feet) after t seconds.
A) What Is the starting height of this flag?
B) What Is the speed of this flag?
Answer:
4
7
Step-by-step explanation:
Part A
The starting height of the flag occurs when t = 0
h = 4 + 7*0
h = 4
So the starting height is 4 feet.
Part B
The speed of the flag is the slope of the line which is 7. So every second the flag is ascending, the flag goes up 7 feet per second.
Kamal, Kamala, Krishna invert a sum of RS= 30,000 on a business in the ratio 2 : 3 : 5. Find the each of their investment.
[tex]\\ \rm\Rrightarrow 2x+3x+5x=30000[/tex]
[tex]\\ \rm\Rrightarrow 10x=30000[/tex]
[tex]\\ \rm\Rrightarrow x=3000[/tex]
2x=60003x=90005x=15000is this a function ? explain your reasoning.
can someone help me pleasee !
A negative number with an absolute value less than
-4 and 4 was incorrect so no about those
Answer:
what are u trying to say
Step-by-step explanation:
Proof! Please help <3
Find the area of each figure. Pls, this is urgent, I will award brainliest.
Answer:
The area of the figure is;
A = 2,112 in²
Step-by-step explanation:
The given figure is a composite figure consisting of a rectangle AINE and a triangle AIL
The dimensions of the rectangle AINE are;
Length, L = 48 in.
Height, h = 32 in.
The area of the rectangle AINE, A₁ = Length, L × Height, h
∴ A = L × h = 48 in. × 32 in. = 1,536 in.²
The area of the triangle AIL, A₂ = 1/2 × Base × Height of the triangle
The base length of the triangle, L = IA = 48 in.
The height of the triangle, ht = 12 in.
∴ A₂ = L × ht
A₂ = 48 in. × 12 in. = 576 in.²
The area of the triangle AIL, A₂ = 576 in.²
The area of the figure, A = The area of the rectangle, A₁ + The area of the triangle, A₂
A = A₁ + A₂
∴ A = 1,536 in.² + 576 in.² = 2,112 in.²
The area of the figure, A = 2,112 in².
product of 2 and the difference between 20 and 1 is 14
Answer:? Okkkkk
Step-by-step explanation:
Lol
can someone please answer this for me
52. A 33-tt ladder leans against a building so that the angle between the ground and the ladder is 80". How high does the
ladder reach up the side of the building?
9514 1404 393
Answer:
32.5 ft
Step-by-step explanation:
The length of the side opposite the given angle is found using the sine relation:
Sin = Opposite/Hypotenuse
height on building = (33 ft)·sin(80°) ≈ 32.5 ft
The ladder reaches about 32.5 feet up the side of the building.
_____
Additional comment
The maximum angle compliant with OSHA safety rules is 75.5°.
Can Somebody answer this real fast?
Answer:
The answer is 6
Step-by-step explanation:
...........
Find h.(Type your answer in simplest radical form)
9514 1404 393
Answer:
(x, y) = (8, 2)
Step-by-step explanation:
Using the geometric mean rules for this geometry, we have ...
h = √(4·32) = 8√2
and also ...
a = √(4·36) = 12
b = √(32·36) = 24√2
For the problem at hand, ...
h = 8√2 = x√y ⇒ x = 8, y = 2
No files!!! A expert or somebody pls help with me!!! Math.
Answer:
Number 3 is c)6.28cm
Number 4 is b)20.94
Number 5 is b)12.56m2
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Answer:
d.
Step-by-step explanation:
. The liver regulates most chemical levels in the blood and excretes a product called bile. This helps carry away waste products from the liver. All the blood leaving the stomach and intestines passes through the liver.
PLEASE HELP PLEASE ASAP
Step-by-step explanation:
Range = Largest number in list - Smallest Number in list
[tex] = 7 - ( - 3) \\ = 7 + 3 \\ = 10[/tex]
Answer:
10
Step-by-step explanation:
7 - (- 3) =
7 + 3 =
10
[tex]Simplify:\sqrt{64x^8y^2z^1^2}[/tex]
Answer:
theres nothing here....