Answer:
VA = 2/3πrB²hB
Step-by-step explanation:
Let the volume of cosA ad cone B be expressed as;
Va = 1/3πra²ha
Vb = 1/3πrb²hb
If the radius of the base of cone A is twice as large as the radius of the base of cone B
rA = 2rB
If the height of cone B is twice the height of cone A, then;
hB = 2hA
hA = hB/2
Recall that;
VA = 1/3πrA²hA
VA = 1/3π(2rB)²(hB/2)
VA = 1/3π*4rB²(hB/2)
VA = 2/3πrB²hB
This gives the volume of cone A
Find the rate of change from the table.
==================================================
We're asked to find the slope:
m = slope
m = (y2-y1)/(x2-x1)
m = (50-20)/(4-2)
m = 30/2
m = 15
The rate of change is 15. Each time x goes up by 1, y increases by 15.
slope = rise/run = 15/1
rise = 15, run = 1
I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.
I NEED HELP PLS I WILL MARK BRAINLIEST
Answer:
[tex]\approx 11.2\:\mathrm{in}[/tex]
Step-by-step explanation:
The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by [tex]2r\pi\cdot \frac{\theta}{360}[/tex], where [tex]r[/tex] is the radius of the circle and [tex]\theta[/tex] is the angle of the arc.
In this problem, we're given:
[tex]\theta = 40^{\circ},\\r=16[/tex]
Substituting given values, we get:
[tex]2\cdot 16\cdot \pi \cdot \frac{40}{360}=32\pi\cdot \frac{1}{9}\approx \boxed{11.2\:\mathrm{in}}[/tex]
Henry's Pizza sells pizza by the slice for lunch. An employee recorded how many slices of each type of pizza were sold today.
onion 4
pepperoni 36
cheese 20
supreme 6
veggie 16
What is the experimental probability that the first slice sold during lunch tomorrow will be a slice of cheese pizza?
24% (24/100)
Got answer by adding all of them together and dividing by 20
Answer:
10/41
Step-by-step explanation:
At an annual teacher’s conference everyone is served tea with their dinner. Let H be the event that a randomly selected participant puts honey in their tea. Let S be the event that a randomly selected participant puts sugar in their tea. Suppose that afteryears of collecting data, the staff of this conference have estimated the following probabilities.P(H) = 0.14 P(S) = 0.65 P(H or S) = 0.73Estimate P(H and S) and interpret this value in the context of the problem.A.P(H and S) = 0.06, The probability that a randomly selected participant puts sugar and honey in their tea is 0.06.B.P(H and S) = 0.06, The probability that a randomly selected participant puts sugar or honey in their tea is 0.06.C.P(H and S) = 0.79, The probability that a randomly selected participant puts sugar and honey in their tea is 0.79.D.P(H and S) = 0.79, The probability that a randomly selected participant puts sugar or honey in their tea is 0.79
Answer:
im looking for the same one :(
Step-by-step explanation:
Tyler and Bethany have 240 feet of fencing with which to build a garden. Tyler wants the garden to be in the shape of a square, while Bethany wants it to be rectangular with a length of 50 feet and a width of 70 feet. Which design would give the maximum area for the garden? Explain.
Bethany’s design would give the larger garden because the area would be 3,500 ft2.
Tyler’s design would give the larger garden because the area would be 3,600 ft2.
Bethany’s and Tyler’s designs would give a garden with the same area.
Bethany’s and Tyler’s designs are not possible with the given amount of fencing.
Answer:
Step-by-step explanation:
Tyler's square is going to be 60 feet on each side. That is 3600 square feet.
Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.
A is wrong. A square maximizes the area.
B is correct.
C The areas are not the same. C is wrong.
D is wrong. Both fence proposals work.
Answer:
B is correct
Explanation:
Tyler's square is going to be 60 feet on each side. That is 3600 square feet.
Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.
Hope this helps! :)
SOMEONE PLEASE HELP !!
Answer:
you would have to add them together
Step-by-step explanation:
you add 9pi cm^2 to 1/4
hop this helps kid
Answer:
The radius is 199.85 cm^3
Many schools have a regular outdoor school one day a week.
At Mosby, they often walk 125 meters from the school to the mountain top Jonsberget (140 masl) which is located directly behind the school.
How high is the school above sea level?
Answer:
The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.
Step-by-step explanation:
A right rectangular prism has a base with an area of `25\ \frac{1}{2}`square feet and a volume of 153 cubic feet. What is the height, in feet, of the right rectangular prism?
Answer:
Height = 6 feet
Step-by-step explanation:
Given the following data;
Base area = 25½ ft²
Volume = 153 ft³
To find the height of the right rectangular prism;
Mathematically, the volume of a right rectangular prism is given by the formula;
Volume = base area * height
Substituting into the formula, we have;
153 = 25½ * height
153 = 51/2 * height
Cross-multiplying, we have;
306 = 51 * height
Height = 306/51
Height = 6 feet
Right rectangular prism is also called cuboid. The height of the right rectangular prism considered is evaluated as of 6 ft
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
For this case, we're provided that:
Base area of the right rectangular prism = [tex]25\dfrac{1}{2} = 25 + 0.5 = 25.5 \: \rm ft^2[/tex]Volume of the right rectangular prism = [tex]153\: \rm ft^3[/tex]Let the length and width of the prism be L ft and W ft
Let the heigth of the prism be H ft
Then, we get:
Area of base = [tex]L \times W = 25.5 \: \rm ft^2[/tex] (since base is a rectangle with length L and width W).Volume of prism = [tex]V = H \times L \times W = H \times 25.5 = 153 \: \rm ft^3[/tex]Thus, we get:
[tex]H \times 25.5= 153\\\\\text{Dividing both the sides by 25.5}\\\\H = \dfrac{153}{25.5} = 6 \: \rm ft[/tex]
Thus, the height of the right rectangular prism considered is evaluated as of 6 ft.
Learn more about volume of a right rectangular prism here:
https://brainly.com/question/21308574
What percentage would my grade be if I got a 50% on a project that is worth 20% of my grade and my grade is 87%/B+.
How much would my grade go down?
PLEASE HELP ME
Answer:
you got 21.5/50 on final grade
and aslo follow me for more information
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
4x^2 B
-4x^2 A
1/4x^2 D
-1/4x^2 C
Step-by-step explanation:
1. Look at the concavity
up or down = negative or positive.
2. number before the x value
if N < 1, it will be wider. if N > 1, it will be thinner.
3. the two most right graphs would be -1/4x^2 and 1/4x^2
the one that is concave down is the - and the concave up is +
Someone please help I’ll give brainliest!!!!
Answer:
move the line up one
Step-by-step explanation:
If there are 4 outcomes, what is the
probability that I get tails then tails?
Answer:
50%
Step-by-step explanation:
because it is a two side coin
NEED HELP ASAP PLEASE WILL GIVE BRAINLYEST
Answer:
A
Step-by-step explanation:
24/47
you have to added up 10 and 14
HELLP PLZ ZZZZZZ FOR MY HOMEWORK......
Answer:
4 books
Step-by-step explanation:
$3.80 divided by 95cents = 4
for brainiest:):):):):):):):)
Please help me and show working. I have a test very soon.
Answer:
c = 3
Step-by-step explanation:
Given
[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{c^2-4}[/tex] ← factor the difference of squares
[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{(c-2)(c+2)}[/tex]
Multiply through by (c - 2)(c + 2) to clear the fractions
2(c + 2) - 3(c - 2) = 7 ← distribute and simplify left side
2c + 4 - 3c + 6 = 7
- c + 10 = 7 ( subtract 10 from both sides )
- c = - 3 ( multiply both sides by - 1 )
c = 3
what is the unit rate of 2250 pencils in 18 boxes
Answer:
184
Step-by-step explanation:
i did it this on a test a while back
Answer: 125 Pencils per Box
Step-by-step explanation:
This is a fraction equal to
2250 Pencils ÷ 18 Boxes
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 18
2250 Pencils ÷ 18
18 Boxes ÷ 18
=
125 Pencils
1 Box
=
125 Pencils
Box
= 125 Pencils per Box
1
What is the solution to the equation 4
1 7 1
8 8*3*?
X=-5
X=-4
X=4
x=5
Answer:
im sorry
Step-by-step explanation:
i need points or else i fail
Help me with this math function below!!
EASY MATH PLEASE HELP! NO LINKS! NEED COMPLETE EXPLAINATION WITH ANSWER!!
Answer: a.) 18 x 8
Step-by-step explanation: if you break down the equation 6^3= 18 and 4^2=8 then take 18x8 simple as that
If the mass of a metal bar which is 3.25 m long is 15 kg. Find its mass per meter
Step-by-step explanation:
If 3.25m is equal to 15kg then what about 1m?
3.25m = 15kg
1m =?
Then by cross multiplication we get 4.615 kg
A type of fish for your aquarium costs $8 each. You can spend at most $48. How many of these fish can you buy? Write an inequality to model the problem. Then solve the inequality to find the number of fish.
Answer:
x ≤ 6
Step-by-step explanation:
Cost of fish = $8
You can spend at most $48
How many of these fish can you buy?
Let
x = number of fishes you can buy
The inequality is
8x ≤ 48
Divide both sides by 8
x ≤ 48/8
x ≤ 6
Re-write the quadratic function below in Standard Form
y = 5(x - 5)(x - 4)
9.
Find the slope of the line.
A. -1/4
B. 4
C. 1/4
D. -4
Answer:
9. A. -1/4
Step-by-step explanation:
Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.
If this has helped you please mark as brainliest
Answer:
A. -1/4
Step-by-step explanation:
simply 3x to the power of 2 of over 9x to the power of 5
Answer:
1/6561x³ or 6561x⁻³
Step-by-step explanation:
(3x)²/(9x)⁵
(3²)(x²)/(9⁵)(x⁵)
9x²/59049x⁵
9/59049x³
1/6561x³ or 6561x⁻³
You have 30 minutes to exercise at the gym. The Stairmaster burns 7 calories per minute, while the stationary bike burns 12 calories per minute. You want to burn 290 calories total using both machines. How much time should you spend on each machine?
Answer:
14 min on Stairmaster
16 min on Bike
Step-by-step explanation:
s = time on Stairmaster
b = time on bike
System of Equations:
s + b = 30
7s + 12b = 290
let 's' = 30-b
Substitution Method:
7(30-b) + 12b = 290
210 - 7b + 12b = 290
5b + 210 = 290
5b = 80
b = 16
s + 16 = 30
s = 14
Look at the two right rectangular prisms.
1 ft
Ift
1 ft
2 ft
2.5 ft
What is the volume of solid in cube feet
Answer:
I cannot tell you the answer because there isn't adequate information.
But to calculate the volume of a rectangular prism, simply multiple the length width, and height (LWH)
8 x 9/3= x 1/3
What number makes the equation true?
Answer:
72
Step-by-step explanation:
3×(8×9/3=X1/3) then 8×9=X, then X=72
Please help:)
this worth 100 POINTS!!
Answer:
I think the second answer
Step-by-step explanation:
I'm late but it's the second answer!
A polynomial has zeros x = 2, x = 0, X = 1, X = 2
What is the polynomial in factored form?
A) f(x) = x(x - 2)(x + 1)(x + 2)
B) f(x) = x(x + 2)(x-1)(x + 2)
C) f(x) = x2(x + 2)(x - 1)(x - 2)
D) f(x) = x(x + 2)(x - 1)(x - 2)
Answer:
f(x)= x(x+2)(x-1)(x-2)
Step-by-step explanation:
before taking the zeros each zeros were in the forrm
x+a=0 where 'a' is any number
then after taking the zeros, the zeros were in the form x=0 x=2 x=1
so we are gonna take then back to the form before taking the zeros