A cone has a base of [tex]5.4[/tex] and a height of [tex]8[/tex]. The diameter is [tex]6[/tex]. What is the volume? If you were to dilate the cone with a scale factor of [tex]2[/tex], what would the new radius be?
Answer:
(I) V = 24π ≈ 75.3982 units³
(II) V = 192π ≈ 603.186 units³
General Formulas and Concepts:
Math - Symbols
π - pi, the number 3.1415926535897932384626433832795Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
DilationsDiameter: d = 2rVolume of a Cone: [tex]V= \frac{1}{3} \pi r^2h[/tex]Step-by-step explanation:
Step 1: Define
Height h = 8
Diameter d = 6
Base b = 5.4 (not needed in calculations)
Step 2: Find radius r
Substitute: 6 = 2rIsolate r: 3 = rRewrite: r = 3Step 3: Find V of Normal Dimensions
Substitute: [tex]V= \frac{1}{3} \pi (3)^2(8)[/tex]Exponents: [tex]V= \frac{1}{3} \pi (9)(8)[/tex]Multiply: [tex]V= 24 \pi[/tex]Evaluate: [tex]V \approx 75.3982[/tex]Step 4: Find Dilations
Scale Factor: 2
Define radius: r = 3Dilate: r' = 3(2)Multiply: r' = 6Define height: h = 8Dilate: h' = 8(2)Multiply: h' = 16Step 5: Find V of Dilated Dimensions
Substitute: [tex]V= \frac{1}{3} \pi (6)^2(16)[/tex]Exponents: [tex]V= \frac{1}{3} \pi (36)(16)[/tex]Multiply: [tex]V= 192 \pi[/tex]Evaluate: [tex]V \approx 603.186[/tex]answer this. 60+80=??
இ௰இ please-
Answer:
140
Step-by-step explanation:
just add them together
Answer:
Itssss 140 yayyyyyyyyyyyyy
Solve the proportion 20 over three equals ? / 6
18.
A rectangular garden is going to be planted in a
person's rectangular backyard, as shown in the
accompanying diagram. Some dimensions of the
backyard and the width of the garden are given.
Find the area of the garden to the nearest square
foot.
scale)
80 ft
15 ft
40 ft
Yard
agram, right triangle ABC
, BA is a diameter,
1 AC = 8 centimeters. Find
portion to the nearest tenth
[Use a = 3.14.]
Garden
70 ft
Answer:
162ft
Step-by-step explanation:
Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Let m = the number of miles Mr. Parker drives for the day. Write an algebraic expression that shows the amount he will pay for the van. * 10 points \
Answer:
y=0.35m+50Step-by-step explanation:
Step one:
given data
the daily fee= $50
cost per mile driven =$0.35
Let m = the number of miles
let y be the total cost
Step two
Required
the expression for the total cost is
An algebraic expression that shows the amount he will pay for the van. is
y=0.35m+50
can anyone help me with this please?:)
Answer:
A
Step-by-step explanation:
You roll a fair six-sided die. The die shows an even number or a number greater than four .
Solve it (NOT MULTIPLE CHOICE) find the probability:)
Answer:
4/6
Step-by-step explanation:
There are 3 ways to get an even number: 2, 4, 6 -> chance is 3/6=1/2
There is 1 way to get a number greater than 4: 5 (because 6 was already counted) -> chance is 1/6
Add up the probabilities: 1/2 + 1/6 = 3/6 + 1/6 = 4/6
The probability of rolling an even number or a number greater than 4 is 4/6
What is the cost of the bill if a drink costs $3, a meal costs $20, an appetizer costs $5.50 and a slice of cake cost $3. 75?
Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans she bought was 6. Which of these systems of equations can be used to determine the number of 15-ounce cans and the number of 28-ounce cans that she bought? Assume x represents the number of 15-ounce cans and y represents the number of 28-ounce cans.
x + y = 6. 15 x + 28 y = 116.
x + y = 6. 28 x + 15 y = 116.
x + y = 116. 15 x + 28 y = 6.
x + y = 116. 28 x + 15 y = 6.
Mark this and return
Answer:
15x + 28y = 116
x + y = 6
Step-by-step explanation:
Answer:
A :)
Step-by-step explanation:
Helllllllp ill give out brainliest nooooooo spams
Answer:
77 centigrams = .077 decagrams
Step-by-step explanation:
Because 1 centigram = .001 decagram
Answer:
0.077
Step-by-step explanation:
your welcome
solve the problem in the picture
What is the equation in slope-intercept form of the line that passes through the point
(5,0) and is parallel to the line represented by y = 2.4x - 1.7?
Answer:
i really dont know sorry i just need points
Step-by-step explanation:
Answer:
Step-by-step explanation:
Juan read 300 pages in 5 days which reading rate is equivalent
Answer:
600 pages in 10 days
Step-by-step explanation:
I need some help on this-
Answer:
It is 57
Step-by-step explanation:
I am smart
Believe me!
Balloons are smart!
What is the slope of the graph of y=12x−19
y
=
12
x
−
19
?
What number can you put in the missing spot of the domain to keep the table a function? Select all that apply.
Answer:
1,8 and 5,10
Step-by-step explanation:
can someone help me w. this
Answer:
Step-by-step explanation:
(x, y) ----> (- x, y)
J(4, 1) ------> J' (- 4, 1)
K(1, 0) -----> K' (- 1, 0)
L(2, - 4) ----> L' (- 2, - 4)
Evaluate 3k - 4m when k= 20 & m= -2
Answer:
68
Step-by-step explanation:
3x20=60-4x-2 = 4x-2=-8 60-{ -8}= 68
NEED HELP FAST!!!!!
20 points pls
Answer:
A. because both variables (y and x) cancel each other out because they are equal. The answer to A is 0=6, which is clearly not true. All other choices have a solution that is possible, because at least 1 of the variables doesn't cancel itself out.
En una tienda se anuncia la rebaja de 20% en todos sus artículos . Rafael elije una camisa y al llegar a la caja le informan que sea camisa , por traer etiqueta roja . Cuenta con un descuento adicional de 15% . Si Rafael pago $510.00 , cuál era el precio de la camisa sin los dos descuentos
Responder:
$ 750
Explicación paso a paso:
Dado que :
Descuento en todos los artículos = 20%
Descuento adicional dado = 15%
Monto final pagado por la camisa = $ 510
Precio de la camiseta sin descuento:
Sea el precio inicial de la camisa = x
Primer descuento obtenido = 20%
Precio pagado después de un descuento adicional del 15%
Primer descuento:
(1 - 0,20) * x = 0,8x
Segundo descuento:
(1 - 0,15) * 0,8x = 510
0,85 * 0,8x = 510
0,68x = 510
x = 510 / 0,68
x = $ 750
PLS HELP 20 POINTS DUE IN TMR
If you place $2000 in a savings account that generates 4% interest. How much simple interest will you earn over3 years?
What is 20% less than 18.5?
Answer:
15.5
Step-by-step explanation:
Answer:
14.8
Step-by-step explanation:
20% less than 18.5 is 14.8
The graph below compares the income and expenses involved in the production and sales of tennis shoes at a shoe factory. How many pairs of tennis shoes must be sold for income and expenses to be equal? 40,000 60,000 1,600 800
Answer:
A
Step-by-step explanation: Just did it
3. The triangles are similar. Find the value of x.
Answer:
yeah
Step-by-step explanation:
Answer: Is it 3?
Step-by-step explanation:
write the additive and multiplicative imverse of -1/2 ?
Answer:
The additive inverse is [tex]\frac{1}{2}[/tex], and the multiplicative inverse is -2.
Step-by-step explanation:
Hope this helped!
Bus 26 takes 2 3/4 hours to complete its bus route. How many times can Bus 26 complete its route in 16 hours?
Answer:
i dont understand the question
Step-by-step explanation:
help me plaese if u dont mind
Answer:
C) −2.2y−1.8
Step-by-step explanation:
1.2y+4.5-3.4y-6.3=
Combine Like terms:
=−2.2y−1.8
help me yaall for 17 point
10x^3-35x^2 please help me
Answer:
5x^2(2x-7)
Step-by-step explanation:
Hope this helps!