Answer:
10.2π
Step-by-step explanation:
Given data
Area of circle= 81 ft^2
Also, the expression for the area of a circle is
A=πr^2
substitute
81=3.142*r^2
r^2= 81/3.142
r^2= 25.77
square both sides
r= √25.77
r= 5.1
Also, the expression for the circumference is
C= 2πr
substitute
C= 2*π*5.1
C= 10.2π
Hence the circumference is 10.2π
A giant scoop, operated by a crane, is in the shape of a hemisphere of radius 24 inches. The scoop is filled with molten steel. The steel is then poured into a cylindrical storage tank with diameter 32 inches. How high will the molten steel rise?
Answer:
40 inches
Step-by-step explanation:
Volume, V of hemisphere = 2/3 π r^3
Radius, r = 24 inches ;
V = 2/3 π 24^3
V = 28952.917 in³
Volume of cylinder = π r^2 * h
h = height ; r = Radius = 32 /2 = 16 inches
Volume of hemisphere = volume of cylindrical tank
28952.917 = π (16)^2 * h
28952.917 = 804.24771h
h = 28952.917 / 804.24771
h = 35.9999
h = 40 inches
Molten stell rise is 40 inches
How does theoretical probability of the event flip heads change when a coin is flipped more times in a experiment
Answer:
The theoretical probability will not change.
Step-by-step explanation:
The theoretical probability will always be based on logic. If a fair coin has a head and tail, then it’s an even 50/50 chance of the coin landing on either side. If the coin is flipped more than once, the theoretical probability will stay the same.
The theoretical probability of the event flip heads does not change when a coin is flipped more times in a experiment.
What is theoretical probability?Theoretical probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
As the probability of an event can not be more than the number 1. Thus he probability of failure of a event is equal to the difference of the 1 to the success of the event.
The binomial experiment is the experiment in which the total number of output values is 2, therefore it is known as binomial experiments.
The number of independence variable in case of binomial experiments is fixed. Both the two output has the 1/2 chances to occur.
The theoretical probability, of an event is always remain same. It does not depends on the number of experiments or trial.
For the experiment of flipping a coin, there would only be two outcomes either a head or a tail. The theoretical probability to occur head will be 1/2 or 50 percent. This will be similar for the tail face.
Hence, the theoretical probability of the event flip heads does not change when a coin is flipped more times in a experiment.
Learn more about the probability here;
https://brainly.com/question/24756209
24 hours in a day
60 seconds in a min
60 mins in a hour
7 days in a week
Question: How many seconds in 3 days?
Answer:
259200 seconds
How: 60×60×24 = 86400
That is for one full day, so multiply that by 3
Answer: 259200
A cylinder and a cone are shown below.
-
12 in.
-
12 in.
Volume of cylinder = 2512 in.
Volume of cone = 1256 in.
Which explains whether the bases of the cylinder and the cone have the same area?
O The bases have the same area because the heights are the same.
O The bases have the same area because the volume of the cone is 5 the volume of the cylinder.
O The bases do not have the same area because the volumes are not the same.
O The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given
the same heights.
Answer:
The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
Step-by-step explanation:
Recall :
V1 = volume of cylinder = πr²h
V2 = volume of a cone = 1/3πr²h
From the diagram, both have height, h of 12
Radius = r
V1 = 2512 in
V2 = 1256 in
From the ratio :
2512 = πr² * 12
1256 = 1/3πr² * 12
12 cancel out as well as r² and π
If the bases have the same area `, then 2512 should be equal to (1256 * 3)
2512 in ≠ 3868 in
Answer:
The answer is D
Step-by-step explanation:
I got it right on my unit test
God bless
Doug is going on a 340-mile trip. If he drives for 5 hours at an average speed of 55 miles per hour, how many miles will he still have left to go on his trip?
HELP ASAP!!!!!! please show work too! tysm!
Answer:
9/50
Step-by-step explanation:
18/100 they will both be divided by two 18 divided by two is 9 and 100 divided by two is 50.2 is the only number both can be divided by.
Answer:
Option A 9/25 is correct.
Step-by-step explanation:
so his data shows that the yellow balloon was chosen 18 times out of 50 so it is a 18/50.
now if we simplify that we get 9/25.
Have a nice day!
If x and y vary inversely and x = 5 when y = -3.5, what is the value of x when y = 10?
Answer:
Step-by-step explanation:
k = xy
Putting values of x and y in the equation
k = (5)(-3.5)
= - 17.5
Finding value of x when y = 10
k = xy
- 17.5 = x10
Bringing like terms on one side
- 17.5 - 10 = x
-27.5 = x
Pelaseee help me I’m stuck on thisss
Answer:
[tex]d = \sqrt{122} \: in[/tex]
Step-by-step explanation:
D^2 = x^2 + y^2 + z^2
= (9 in)^2 + (5 in)^2 + (4 in)^2
= 122 in^2
or
[tex]d = \sqrt{122} [/tex]
Write an expression for the perimeter of each regtangle in terms of its width?
Answer:
a (the length is twice the width)
Step-by-step explanation:
a(the length is twice the width)
Can the sides of a triangle have sides of 5, 8, and 16 ???
Answer:
No.
Step-by-step explanation:
The triangle inequality theorem states that the sum of two sides of a triangle must be greater than the third side.
5 + 8 = 13.
13, which is the sum of two sides, is not larger than 16, the third side.
Therefore, a triangle cannot have these side lengths.
10 points. . .. this is for my brother they have changed stuff so much from when i was in 6th
Answer: 1.885 miles
Step-by-step explanation:
Given: One lap around a park = 0.58 mile
The number of laps walked by Jessica= 3.25
Then, in miles , the distance walked around the park by Jessica will be (Multiply the number of laps to the value of one lap in miles) :
Hence, Jessica walked 1.885 miles around the park.
Answer:
im a dad, and i have the best woman in the world, best wife and mother to are boy
Step-by-step explanation:
What would be for 7?
Answer:
Congruent segments subtracted from congruent segments form congruent segments
Four aliens were born in two year intervals. The sum of
their ages is 36. How old is each alien?
Show work
Answer:
6, 8, 10, and 12
Step-by-step explanation:
x + (x + 2) = (x + 4) + (x + 6) = 36
4x + 12 = 36
subtract 12 rom each side of the equation:
4x = 24
divide both sides by 4:
x = 6
x + 2 = 8
x + 4 + 10
x + 6 = 12
Find the Volume of a cylinder with a diameter of 16 inches and a height of 9 inches
Answer:
d = 16 in then r = 8 in
V = h * π * r²
V= 9in * π * (8 in)²
V = 1809.55 in³
Answer:
It's D
Step-by-step explanation:
PLZ HELP URGENT PLEASE
If f(x)=2x+5 and g(x)= 2x-3, find (f+g)(x). Please don't add any space between characters in your answer. For example: -6x+5
Alguien sabe este trabajo es para hoy :’(
no psss ya valio madres
12 m Fence 17 m 20 m one can of weedkiller can cover 100 square metres. eachh can costs $19.75 work out the total cost of the cans of weedkiller needed to cover the lawn.
Answer:
Total amount needed is: $59.25
Step-by-step explanation:
Given
See attachment for fence
Required
Cost of weedkiller needed
First, we need to calculate the height of the fence.
Considering the triangular end of the fence, we have:
[tex]17 ^ 2 = h ^ 2 + 8 ^ 2[/tex] --- Pythagoras theorem
[tex]289 = h^2 + 64[/tex]
Collect like terms
[tex]h ^ 2 = 289 - 64[/tex]
[tex]h ^ 2 = 225[/tex]
Take positive square root of both sides
[tex]h = \sqrt{225[/tex]
[tex]h = 15[/tex]
Next, calculate the area of the fence (trapezium).
This is calculated as:
[tex]Area = \frac{1}{2}(a + b) * h[/tex]
Where:
[tex]a = 12[/tex]
[tex]b = 20 + 8 = 28[/tex]
So, we have:
[tex]Area = \frac{1}{2}(12 + 28) * 15[/tex]
[tex]Area = \frac{1}{2}(40) * 15[/tex]
[tex]Area = 20 * 15[/tex]
[tex]Area = 300m^2[/tex]
From the question, we have:
[tex]\$19.75 = 100m^2[/tex]
Let x = the cost required for the complete area
i.e.
[tex]x = 300m^2[/tex]
So, we have:
[tex]\$19.75 = 100m^2[/tex]
[tex]x = 300m^2[/tex]
Cross multiply
[tex]x * 100m^2 = \$19.75 * 300m^2[/tex]
Divide both sides by [tex]100m^2[/tex]
[tex]\frac{x * 100m^2}{100m^2} = \frac{\$19.75 * 300m^2}{100m^2}[/tex]
[tex]x = \frac{\$19.75 * 300m^2}{100m^2}[/tex]
[tex]x = \$19.75 * 3[/tex]
[tex]x = \$59.25[/tex]
HELP ASAAAPPPPPPP PLEASEEEEE
Answer:
I say it is A.
Step-by-step explanation:
It is the one that makes the most sense.
Hope this helps.
Find C(.07)
C(.07)=30x+5
Hello, I need help! The question is "Today you will look over the following problem that Nancy worked and explain what she did incorrectly and why it does not work. Then tell me what information Nancy would need to know in order to use this theorem correctly"
Answer:
Step-by-step explanation:
Remark
The ratios are certainly correct but that doesn't mean that they show similarity. SSA is a very dangerous proposition to use. Redraw triangle DEF of that DF is going to upwards to your right hand side. Make E as it was before. Why isn't this right?
It isn't right because E has gone from being an acute angle to an obtuse angle (an angle larger than 90 but less than 180).
The ratios are still true, but the angles do not match. So the whole answer is incorrect.
A lawn sprinkler is set in the corner of the backyard. Thomas has the sprinkler set to rotate at 90 degrees. He knows that the sprinkler will spray 30 feet. If his backyard is 850 square feet, does Thomas have the sprinkler set to reach most of his yard? Explain your reasoning and any suggestions you might have for Thomas if you find he does not have the sprinkler set properly.
Answer:
yes I think he does because of the distance of the sprinklers reach.
The ratio of boys to girls in a volleyball club was 6: 8. There were 36 boys.
How many girls were there in the club?
Answer:
Might be wrong but 27. Hope this helps
Answer:
48 girls!
Step-by-step explanation:
boys = 6x
girls = 8x
6x = 36
x = 36/6 = 6
girls = 8x = 8 x 6 = 48
I hope im right!
If a dilation with a scale factor of 5 is performed to ADEF, what will be the
coordinates of the new triangle?
D(-5,-2)
E(-5,3)
F(2,3)
o D'(-25,-10) E'(-25,15) F(10,15)
o D'(-20,-10) E'(-20,15) F'(5,15)
o D'(-1,5) E'(-1,3) F'(5,3)
Answer: · D'(-25,-10) E'(-25,15) F'(10,15)
Answer:
o D'(-25,-10) E'(-25,15) F'(10,15)
Step-by-step explanation:
In dilations, the scale factor is how many times larger than the new image will be.
Great, that explains a lot.
In other words, multiply the x and y-coordinate by the scale factor.
In this case, the scale factor is 5.
D(-5,-2)
-5 ⋅ 5 = -25
-2 ⋅ 5 = -10
E(-5,3)
-5 ⋅ 5 = -25
3 ⋅ 5 = 15
F(2,3)
2 ⋅ 5 = 10
3 ⋅ 5 = 15
Therefore, the new coordinates are:
D' (-25,-10)
E' (-25,15)
F' (10,15)
can you guys help me?? I’m still learning this topic and I can’t do it
Answer:
15
Step-by-step explanation:
Because the first house is 5 toothpicks and the rest are all 4 toothpicks
14*4=56 (the amount of the houses that are 4 toothpicks)
56+5=61 (The house that is 5 toothpicks)
Sean bought a laptop and a printer. He sold both items for £1,500 getting £1,350 just for the laptop. Sean made a 24% profit on the cost of the printer. What was the cost of the printer? Give your answer to 2 decimal places.
Answer:
36
Step-by-step explanation:
Sean purchased a printer and laptop
He sold both for 1,500
He sold the laptop at 1,350
Therefore the cost of the printer can be calculated as follows
1500-1350
= 150
24/100×150
= 0.24×150
= 36
Henve the cost of the printer is £36
please help ASAP! i need this done!
Answer:
∠2 (∴ ∠3 is also correct)∠1∠1 (∴ ∠4 is also correct)Step-by-step explanation:
1) Both the angles ∠2 & ∠3 form a linear pair with ∠1. Also, angles of a linear pair are supplementary to each other. So, both ∠2 & ∠3 are supplementary to ∠1. (Write any one)
2) ∠1 is located vertically opposite to ∠4. So, ∠1 & ∠4 are vertical angles.
3) Both the angles ∠1 & ∠4 share a common vertex & common side with ∠3. So, both ∠1 & ∠4 are adjacent to ∠3. (Write any one)
Solve the equation!bhurrypls
multiply sides by 4
k = 24
Answer:
k = 24
Step-by-step explanation:
k/4 = 6
k is being divided by 4, so multiply both sides by 4.
k/4 * 4 = 6 * 4
k = 24
If using the method of completing the square to solve the quadratic equation
x² + 2x + 16 = 0, which number would have to be added to "complete the
square"?
Answer:
x=-1+\sqrt{15}i,\:x=-1-\sqrt{15}i
Step-by-step explanation:
For the given quadratic equation,x² + 2x + 16 = 0 the value of x will be x=-1+√15i, and x-=-1-√15i you must add 1 in order to complete the square.
What is a quadratic equation?Any equation with the formula [tex]\rm ax2 + bx + c = 0[/tex] where x is a variable and a, b, and c are any real values; a quadratic equation is one where a ≠ 0.
It is given that the equation is, x² + 2x + 16 = 0,
The value of x obtained after solving the given equation is x=-1+√15i and x-=-1-√15i.
In order to complete the square you have to take out the following operations,
x² + 2x + 16 = 0
Add and subtract by 1 as
x²+2x+16+1-1
x²+2x+1 +15
(x+1)²+(√15)²
Thus, you must add 1 in order to complete the square.
Learn more about quadratic equations here:
brainly.com/question/17177510
#SPJ2
Please help. I literally don't even know what this is!!
Answer:
try dividing or multiplying the information their giving you?
I need to solve these two equations using either substitution or elimination
1/4x - 1/2 = 5
3x + 2/3y = -40
Answer:
y = -15
x = -10
Step-by-step explanation:
1/4x - 1/2 = 5 (1)
3x + 2/3y = -40 (2)
Multiply (1) by 4
1/4x - 1/2 = 5
1/4x * 4 - 1/2y * 4 = 5 * 4
4/4x - 4/2y = 20
x - 2y = 20 (3)
Multiply (2) by 3
3x + 2/3y = -40 (2)
3x * 3 + 2/3y * 3 = -40 * 3
9x + 6/3y = -120
9x + 2y = -120 (4)
x - 2y = 20 (3)
9x + 2y = -120 (4)
Using elimination method, Add (3) and (4)
9x + x = -120 + 20
10x = -100
x = -100/10
x = -10
Substitute x = -10 into (3)
x - 2y = 20 (3)
-10 - 2y = 20
-2y = 20 + 10
-2y = 30
y = 30/-2
y = -15
y = -15
x = -10