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Explanation:
We have 81 cm^3 of clay. Divide this among the 20 students and each gets 81/20 = 4.05 cm^3 of clay
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The volume of a cone is
V = (1/3)*pi*r^2*h
Solving for h gets us
3V = pi*r^2*h
(3V)/(pi*r^2) = h
h = (3V)/(pi*r^2)
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The diameter is 2.5 cm which cuts in half to 1.25 cm, so this is the radius.
We'll plug this radius in, along with V = 4.05 and pi = 3.14
h = (3V)/(pi*r^2)
h = (3*4.05)/(3.14*(1.25)^2)
h = 2.4764
This value is approximate. Rounding down to the nearest hundredth gets us 2.47
We round down because rounding up to 2.48 will lead to a volume larger than 4.05
The maximum height of each tooth is 2.47 cm and this can be determined by using the formula of the volume of the cone.
Given :
Tim is an elementary school art teacher. His students are sculpting a replica of a shark out of clay. Tim has given them one block of clay to make 20 conical shark teeth for the sculpture. The block contains 81 cm3 of clay. If each tooth is solid and has a 2.5 cm base diameter.The following steps can be used in order to determine the maximum height of each tooth:
Step 1 - The formula of the volume of the cone can be used in order to determine the maximum height of each tooth.
Step 2 - The formula of the volume of the cone is given below:
[tex]\rm V = \dfrac{1}{3}\pi r^2h[/tex]
where r is the radius and h is the height of the cone.
Step 3 - Substitute the values of the known terms in the above expression.
[tex]\rm \dfrac{81}{20}= \dfrac{1}{3}\times \pi \times (1.25)^2\times h[/tex]
Step 4 - Simplify the above expression.
h = 2.47 cm
For more information, refer to the link given below:
https://brainly.com/question/1578538
I needddd helpppp
Which point is a representation of -(-3)???
Answer:
Point a
negative means on a number line to the left side
Step-by-step explanation:
CAN SOMEONE HELP ME PLS
How many feet are in 18 yards?
6 feet
30 feet
54 feet
216 feet
Answer:
54 is the answer
have a great dayyyy
Answer:
there are 64 feet in18 yards
Step-by-step explanation:
1 yard equals 3 feet
Jane was baking cookies. She needed 1/3 cup sugar and 1 2/4 cups flour. How much more flour does she need than sugar?
(Common core)
Answer:
1 and 1/6 cups more
Step-by-step explanation:
1/3 cup sugar
*1 2/4 cups flour = 6/4 cups flour
*assuming it’s 1 and 2/4 and not 12/4 =3
6/4 - 1/3 = (18-4)/ 12 = 14/ 12 = 1 and 1/6
so I already classified it as a square but I need to solve for x and y please help
Could you show the options we can choose from?
Answer:
x = 2
y = 1
Step-by-step explanation:
Compare one of the dimensions with the same variable with another.
5x - 4 = 3x
5(2) - 4 = 3(2)
10 - 4 = 6
6 = 6
Statement: True
2y + 4 = 5y + 1
2(1) + 4 = 5(1) + 1
2 + 4 = 5 + 1
6 = 6
Answers: x = 2 y = 1
Find the area of the triangle.
24 in.
32 in.
Answer:
A = 384 inches^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the length of the base and h is the height
A = 1/2 ( 32) *(24)
A = 384 inches^2
Answer:
The area of triangle is 384 inches².
Step-by-step explanation:
Given : -Base of triangle = 24 inchesHeight of triangle = 32 inches To Find :-Area of triangleFormula Used :-Area of triangle = 1/2 × base × height
Solution :-Using Formula
Area of triangle = 1/2 × base × height
substitute the values into the formula
Area of triangle = 1/2 × 32 inches × 24 inches.
multiply,
Area of triangle = 1/2 × 768 inches ²
Divide, we get
Area of triangle = 384 inches ²
Therefore, The area of triangle is 384 inches².
Write 5/9
as an equivalent fraction with a denominator of 18
Answer:
10/18
Step-by-step explanation:
Multiply both the numerator and denominator by 2
The following table shows the seven flowers a flower shop sells and the number of each it sold last year. How many flowers did the shop sell last year?
Flower
Number Sold
Roses
2326
Daisies
1895
Orchids
469
Lilies
972
Daffodils
444
Carnations
812
Irises
95
a.
7868 flowers
c.
3213 flowers
b.
4687 flowers
d.
7013 flowers
Answer:
just add em
Step-by-step explanation:
Please help it’s summer school and i need serious help
Answer:
B
Step-by-step explanation:
Find the value of x for which WXYZ must be a parallelogram.
Answer:
[tex](5x - 4) \degree = (2x + 14)\degree \\ 3x = 18\\ x = 6[/tex]
Let g(x) be the indicated transformation of f(x). Write the rule for g(x) f(x)=3x + 1: translation 2 units right
Answer:
3x +3
Step-by-step explanation:
3x + 1 + 2units(on the x axis)= 3x +3
Solve this equation for d.
d- 6 = 6
A. d = 0
B. d = 6
C. d = 12
D. d = 36
Answer:
d = 12
Step-by-step explanation:
d- 6 = 6
Add 6 to each side
d- 6+6 = 6+6
d = 12
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]C)\text{ } d=12[/tex]
»»————- ★ ————-««
Here’s why:
We can use inverse operations to solve for 'd'.⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'd'....}}\\\\\rightarrow d - 6 = 6\\\\\rightarrow d - 6 + 6 = 6 + 6\\\\\rightarrow \boxed{d = 12}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Will mark Brainlest help please (find the value of x or theta) step by step
Answer:
Step-by-step explanation:
BC=[tex]\sqrt{5^2+5^2}[/tex]
x =[tex]\sqrt{50}[/tex]
x = 5[tex]\sqrt{2}[/tex]
tan theta= 5/5
theta= tan^-1 (5/5)
=45°
Step-by-step explanation:
BC=\sqrt{5^2+5^2}52+52
x =\sqrt{50}50
x = 5\sqrt{2}2
tan theta= 5/5
theta= tan^-1 (5/5)
=45°
Please help me with this as quickly as possible
3 hour 30 minutes : 36 minutes
1 hour = 60 minutes
3 hour = 3×60 minutes = 180 minutes
3hour 30 minutes = 180 minutes + 30 minutes
= 210 minutes
210 minutes : 60 minutes
3 hours 30 minutes : 60 minutes = 6:2
Is this quadratic? If so what form is it?
Answer:
Yes. Factored form.
Step-by-step explanation:
Answer:
yes, and it's in intercept form
Step-by-step explanation:
Hi there!
We are given the function f(x)=-2(x-4)(x+3)
A quadratic function is a function that has a degree of 2 (the highest exponent in the function is to the 2nd power)
There are 3 forms to write a quadratic function:
standard form, which is f(x)=ax²+bx+c, where a, b, and c are free coefficients (numbers)
vertex form, which is f(x)=a(x-h)²+k, where a is a free coefficient and (h,k) is the vertex
intercept form, which is f(x)=a(x-[tex]x_{1}[/tex])(x-[tex]x_{2}[/tex]), where a is a free coefficient and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are the x intercepts
You may notice that f(x)=-2(x-4)(x+3) is actually in intercept form; a is -2 and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are 4 and -3 respectively (remember: the formula for intercept form has -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex], but the x intercepts are [tex]x_{1}[/tex] and [tex]x_{2}[/tex]. Therefore, the x intercepts should be the opposites of -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex]).
If the formula is in intercept form, it should be quadratic.
However, if you want to be sure it's quadratic, you can expand the function.
f(x)=-2(x-4)(x+3)
first, multiply the binomials together using FOIL
(x-4)(x+3)
x²-x-12
now multiply x²-x-12 by -2
-2(x²-x-12)
do the distributive property
-2x²+2x+24
It's a quadratic function! The value of the highest exponent is 2 :)
Hope this helps!
which expression is equivalent to the given expression?
Answer:
A.
Step-by-step explanation:
The a^3 would cancel out, currently leaving just b^5 on the top and ab on the bottom. The b would also cancel out, finally leaving just b^4/a. Therefore A is the answer equivalent to the original expression.
Ricardo has a wooden board that measures 5 feet in length. How many 1/4 foot long pieces can Ricardo cut from the board
Answer:
20 pieces of wood
Step-by-step explanation:
5 divided by 1/4: 20
another way to look at it is if there are 4 of these pieces in a foot, and there are 5 feet, 4 times 5 is also 20.
What is the Greatest Common Factor of:
15x7y5+5x5y4−20x6y
Answer:
5x⁵yStep-by-step explanation:
15x⁷y⁵ + 5x⁵y⁴ - 20x⁶y = 5x⁵y*3x²y⁴ + 5x⁵y*y³ - 5x⁵y*4x = 5x⁵y(3x²y⁴ + y³ - 4x)helppp please i need this answered fast please :⊂
Answer:
dang good luck
Step-by-step explanation:
Following the car in front of you at a closer distance _____.
A. Gets you to your location faster
B. Doesn’t get you to your location faster
C. Is a safer way to drive
D.saves you some gas
Step-by-step explanation:
the answer is b, it doesnt get you to your location faster
Answer: Option A will be the correct answer
Step By Step Explanation: Because Main thing is its matching to the sentence
From the observation deck of a skyscraper, Christian measures a 51^{\circ}
∘
angle of depression to a ship in the harbor below. If the observation deck is 1129 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.
Answer:
1394 feets
Step-by-step explanation:
The solution triangle is attached below :
The horizontal distabce from the base is denoted as d :
Using trigonometry, we can obtain d, thus ;
Tan θ = opposite / Adjacent
Tan 51 = d / 1129
d = tan 51 * 1129
d = 1394.1988 feets
d = 1394 feets
Which one hurry
A.2 unit sides
B.3 unit sides
C.4 unit sides
D.5 unit sides
Answer:
4 units
Step-by-step explanation:
P of a square is P =4s
A of a square is A = s^2
4s = s^2
Divide each side by s
4s/s = s^2/s
4 =s
NO BULL SH*T REAAAAAAAL A F
You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.
4%
2%
1%
3%
Help please I don’t understand
looks like something around 14, yet not quite sure
Find area of this shape?
Answer:
189.3 in.²
Step-by-step explanation:
The shape consists of a half circle and a rectangle. Therefore,
Area of the shape = area of the half-circle + area of the rectangle
= ½(πr²) + L*W
r = radius of the half-circle = ½(10) = 5 in.
L = length of the rectangle = 15 in.
W = width of the rectangle = 10 in.
Plug in the values
Area of the shape = ½(π*5²) + 15*10
Area of the shape = 39.27 + 150
= 189.27 ≈ 189.3 in.² (Nearest tenth)
Which graph represents an increasing function? (1 point) Four graphs of y against x are shown. The title for the first graph is Graph A, the title for the second graph is Graph B, the title for the third graph is Graph C, and the title for the fourth graph is Graph D. Graph A is a straight line joining the ordered pairs 0, 6 and 3, 0. Graph B is a straight line joining the points 3, 0 and 3, 5. Graph C is a straight line joining the points 0, 3 and 3, 3. Graph D is a straight line joining the points 0, 0 and 3,3.
Graph A
Graph B
Graph C
Graph D
Answer:
a
Step-by-step explanation:
aàaaaaaaaaaqaaaarsgbfyjvdujcgujhgkud parlo
Answer:
d
Step-by-step explanation:
when does two plus two equal five
Help me wit this rq…………..
Jose bought a plant. The height, h, of the plant is 2 feet. He noticed that every month, m,
the plant grows by 0.5 feet. What equation represents the height of the tree?
Answer:
the answer is h=0.5m+2 I think
Write the equation of the line parallel to y=1/2x−6 that passes through (−10,4).
Answer:
y = 1/2 x + 9
Step-by-step explanation:
y = 1/2 x + b
4 = (1/2)(-10) + b
4 = -5 + b
b = 9
