392.7
To get the answer multiply Density * Volume
Mass = 0.1785 * 2200
Mass = 392.7
The amount of helium present in the hot air balloon = 392.7 kg
Formula to calculate density:d = mass / volume
Given: volume of helium present in a hot air balloon = 2200 cubic meters
density of helium = 0.1785 kilograms per cubic meter
Let, m represents the amount of helium present in the balloon.
Using the formula of density,
density of helium = mass of helium / volume of helium
⇒ 0.1785 = m / 2200
⇒ m = 0.1785 × 2200
⇒ m = 392.7 kg
Therefore, option (c) is the correct answer.
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Two angles x and y are complementary - which means their
angles add up to 90 degrees. Angle y is 20 degrees less
than angle x. Find the measure of each angle.
Answer:
X=55° Y=35°
Step-by-step explanation:
X+Y=90°
Y= x-20
(X-20)+X=90°
2X-20=90°
2X=110°
X=55°
55°+Y=90°
Y=35°
. A sequence starts with 180, 120, …. If the sequence is arithmetic, create a recursive and explicit formula for the sequence. If the sequence is geometric, create a recursive and explicit formula for the sequence.
Answer:
Arithmetic Sequence
[tex]T_n = 240-60n[/tex] ---- Explicit
[tex]T_n = T_{n-1} - 60[/tex] --- Recursive
Geometric Sequence
[tex]T_n = 270* (\frac{2}{3})^n[/tex] ---- Explicit
[tex]T_n = T_{n-1} * \frac{2}{3}[/tex] ---- Recursive
Step-by-step explanation:
Given
[tex]180, 120,....[/tex]
(a) Assume it is an arithmetic sequence
The explicit formula is calculated using:
[tex]T_n = a + (n - 1)d[/tex]
Where
[tex]a = 180[/tex]
[tex]d = 120 - 180[/tex]
[tex]d = -60[/tex]
So, we have:
[tex]T_n = 180 + (n - 1)*-60[/tex]
[tex]T_n = 180 -60n + 60[/tex]
Rewrite
[tex]T_n = 180 + 60-60n[/tex]
[tex]T_n = 240-60n[/tex]
The recursive function is calculated using:
[tex]T_1 = 180[/tex]
[tex]T_2 = 120 = 180 - 60 = T_1 - 60[/tex]
[tex]T_3 = 60 = 120 - 60 = T_2 -60[/tex]
-
[tex]T_n = T_{n-1} - 60[/tex]
(b) Assume it is a geometric sequence
The explicit formula is calculated using:
[tex]T_n = ar^{n-1}[/tex]
Where
[tex]a = 180[/tex]
[tex]r = \frac{120}{180}[/tex]
[tex]r = \frac{2}{3}[/tex]
So, we have:
[tex]T_n = 180 * (\frac{2}{3})^{n-1}[/tex]
Split
[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})^1[/tex]
[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})[/tex]
Rewrite as:
[tex]T_n = 180 * (\frac{2}{3})^n * (\frac{3}{2})[/tex]
[tex]T_n = 180 * (\frac{3}{2})* (\frac{2}{3})^n[/tex]
[tex]T_n = 180 * \frac{3}{2}* (\frac{2}{3})^n[/tex]
[tex]T_n = 90 * 3* (\frac{2}{3})^n[/tex]
[tex]T_n = 270* (\frac{2}{3})^n[/tex]
The recursive function is calculated using:
[tex]T_1 = 180[/tex]
[tex]T_2 = 120 = 180 * \frac{2}{3} = T_1 * \frac{2}{3}[/tex]
[tex]T_3 = 80 = 120 * \frac{2}{3} = T_2 * \frac{2}{3}[/tex]
-
[tex]T_n = T_{n-1} * \frac{2}{3}[/tex]
I NEED HELP ASAP
The volume of a cylinder is 14,130 ft 3 . If the diameter is 30 feet, calculate the height of the cylinder
Answer:
V = PI*r2h
In plain english the volume of a cylinder can be calculated by squaring the radius, multiplying that value by PI, then multiplying by the height. You can also think of it as finding the area of a flat circle (PI * radius squared) and multiplying by the height to find volume.
Here is a step-by-step case that illustrates how to find the volume of a cylinder with a radius of 3 inches and a height of 5 inches. In this example PI will be 3.14.
V = pi * r2 * h
= pi * 32 * 5
= pi * 9 * 5
= 3.14 * 45
= 141.37 cubic inches
Step-by-step explanation:
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm.
The height of the cylinder is given by h = 20 feet
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the height of the cylinder be h
Now , the volume of the cylinder V = 14,130 feet³
The diameter of the cylinder d = 30 feet
So , the radius of the cylinder r = d/2 = 15 feet
And , Volume of Cylinder = πr²h
On simplifying , we get
14,130 = π( 15 )²h
Divide by 225 on both sides , we get
πh = 62.8
Divide by π on both sides , we get
h = 62.8 / 3.14
h = 20 feet
Therefore , the value of h is 20 feet
Hence , the height of the cylinder is 20 feet
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Find the length of each arc. Round your answers to the nearest tenth.
A) 127.2 yd
C) 102.4 yd
B) 7.1 yd
D) 56.5 yd
Answer: 7.1 yd
Step-by-step explanation:
the formula for arc length is 2πr(x/360), x being the central angle
input the values, so the equation would be 2π9(45/360), which equals 7.1
Factor the following:
x^2 - 9
Answer:
(x + 3)(x - 3)
Step-by-step explanation:
[tex] {x}^{2} - 9 \\ = {x}^{2} - {3}^{2} \\ = (x + 3)(x - 3)[/tex]
Please help thanks!!!
Answer:
Parallelogram
Step-by-step explanation:
I haven’t done this since 7th grade sorry I just don’t remember
Find the sine of ZI. J 21 D I Write your answer in simplified, rationalized form. Do not round.
what is the area of the trapezoid
Answer:
A=2132
Step-by-step explanation:
Solution
A=a+b/ 2h=44+8/ 2·82=2132
Please help me with this thx need soon
Answer:
A) x = 7
Step-by-step explanation:
7x + 1 + 7x + 6 + (180° - 15x) = 180°
14x + 7 + 180° - 15x = 180°
combine like terms:
-x = -7
x = 7
A fan oscillates 250* and can be felt from a distance of 4 feet away . To the nearest tenth what area of the room can feel the wind from the fan? Use 3.14 for pi .
Answer:
[tex]A=256.67ft^2[/tex]
Step-by-step explanation:
From the question we are told that:
Fan oscillates [tex]\theta=250[/tex]
Distance [tex]d=>Raduis\ r=4 feet[/tex]
Since
[tex]250\textdegree =180\textdegree +70\textdegree[/tex]
Generally the equation for the area A is mathematically given by
[tex]Area=Area\ of\ semi\ circle\ + area\ of\ 70\textdegree sector[/tex]
[tex]A=A_{sm}+A_{70\textdegree}[/tex]
Where
[tex]A_{sm}=\frac{1}{2} \pi r^2[/tex]
[tex]A_{sm}=\frac{1}{2} 3.14 4^2[/tex]
[tex]A_{sm}=25.12ft^2[/tex]
[tex]A_{70\textdegree}=\frac{1}{2}r^2 \frac{70\textdegree}{360\textdegree}[/tex]
[tex]A_{70\textdegree}=\frac{1}{2}*4^2* \frac{70\textdegree}{360\textdegree}[/tex]
[tex]A_{70\textdegree}=1.55ft^2[/tex]
Therefore the area A is given as
[tex]A=A_{sm}+A_{70\textdegree}[/tex]
[tex]A=25.12ft^2+1.55ft^2[/tex]
[tex]A=256.67ft^2[/tex]
Find the volume of a cylınder whose base is a circle with a diameter of 18 inches.
Answer:
257.48 inches
Step-by-step explanation:
pi * radius^2 * Hight
find radius by dividing the diameter in half
pi = 3.14
Simplify the following expression log(x^2)-log(x)
Answer:log a - log b = log (a/b) than use this formula will get
log x^2 -log x = log (x^2 /x) = log x
so answer is log x
Step-by-step explanation:
Which choice correctly describes this event? Every time I flip a coin / will get tails.
A)Certain
B)Impossible
C)Likely
D)Unlikely
Please help ASAP ill give BRAINLIEST
Answer:
D
Step-by-step explanation:
With each flip of the coin, the chance of it landing on tails is multiplied by half. Hence the chance of landing a consecutive series of tails decreases the more times you flip the coin, but never reaches 0.
A is incorrect as it is possible to land heads on any flip.
B is incorrect as there is always a possibility of landing tails on every flip.
C is incorrect as the chance of getting tails on every flip is small (and gets smaller) and hence cannot be considered to be likely.
Hence D is the answer.
If y represents a student's age, which inequality shows that you must be older than 14 to
try out for the basketball team?
A y < 14
B. y > 14
c.y > 14
D. 14 = y
Drag the movable points to the correct position on the number line.
Allen finds the area of the woods to be 6600 square feet. Why is Allen
incorrect?
A: Allen is incorrect because he applied the scale to the sides and then
multiplied the width and the length together.
B: Allen is incorrect because he multiplied the length and the width and then
applied the scale.
C: Allen is incorrect because he did not apply the scale.
D: Allen is incorrect because he used the formula to find perimeter instead of
area.
Answer: C
Step-by-step explanation:
if n = 3a - 6 which inequality below will make n a positive number
Answer:
Step-by-step explanation:
Solve the inequality for x. 3x + 9 < 3
Answer:
x > - 2
Step-by-step explanation:
3x + 9 < 3
3x (+ 9 - 9) < 3 - 9
3x < -6
3x/3 < -6/3
x > -2 (dividing by negative numbers, you reverse the inequality sign at the end of an equation)
Answer pls I dont know maths
Answer:
well learn math
Step-by-step explanation:
did you know that everyday is someone's birthday? if you don't
then Three piggies in the city.
A tv costs £1300. Work out the price after a 4.2% price increase.
Answer:
HII
1
Step-by-step explanation:
Josephine has a glass pitcher in the shape of a rectangular prism. The pitcher dimensions are 5 inches long, 5 inches wide and 7 inches high. She fills 3 inches of the pitcher with sugar. How many cubic inches are left in her pitcher for lemonade?
Answer:
100 cubic inches
Step-by-step explanation:
If she fills 3 inches of the pitcher with sugar, the height will be reduced from 7 inches to 4.
Find how many cubic inches are left for lemonade by finding the volume
Use the volume formula, V = lwh
V = lwh
V = (5)(5)(4)
V = 100
So, there are 100 cubic inches left for lemonade
Mrs. Johnson's baby weighed exactly 8 lbs. 3 oz. when he was born. Now, two months later, he weighs exactly 10 lbs. How much weight has he gained since he was born? State your answer in ounces.
Please answer fast!!
Answer:
The baby gained 29 oz.
Step-by-step explanation:
1 pound is equal to 16 oz (ounces).
10 pounds is equal to 10 x 16 oz = 160 oz.
8 pounds and 3 oz is equal to (8 x 16) + 3 = 128 + 3 = 131 oz.
160 oz - 131 oz = 29 oz.
The baby gained 29 oz.
If this helps please mark as brainliest
given the diagram below, explain how you would determine the opposite, adjacent, and hypotenuse side from the given 35° angle. (HELP PLEASE!!)
Answer:
opposite=8.402402490459 ,adjacent is already given=12, hypotenuse=14.64929507
Step-by-step explanation:
to do this you will have to use the law of sines. the first thing you need to do is solve for the unknown angle by subtracting 90+35 from 180. so you get the equation 180-(90+35)=55. now that you know all your angles, you can use the law of sines to solve for the unknown sides. the law of sines state that a/sin(A)=b/sin(B). if you substitute the values of 12 and 55 into the equation, since you know those sides, you can then find a ration that you can use to find the other sides, 12/sin(55)=b/sin(B), which is equal to, 14.649... Next you pick whichever side you want to solve for next, and plug in its opposite angle (i would solve for the other leg, because then you can use pythagorean theorem to solve for the hypotenuse, so i will demonstrate that way) plug in the angle 35, since it is opposite the leg and then finish for the variable, 14.649...=b/sin(35). once you have the sin, you can multiply it by the 14.649 to get your side, 14.649...*.5736...=8.402...=b. now you have your two legs, so you can use a^2+b^2=c^2 to solve for the hypotenuse. once you plug in your values it should look like this, 12^2+8.402...^2=c^2. which simplifies down to 214.602...=c^2. so you take the square root of both sides to find c, which equals 14.649. you can check that by seeing if 14.649 is bigger then the other two sides, which it is. This number should look familiar because it was the ratio we got when we divided 12 by the sin(55). the reason that happened is because the sin(90) is 1, the 14.649*1=14.649.
If you have any questions, leave them in the comments and will try to answer them, if this helped, pls give brainliest.
Manuel works for the water company as a meter reader. The meter below is the Jansen's water meter. What is the reading, in ccf, on the meter shown?
Answer:
See Explanation
Step-by-step explanation:
Required
The meter reading in ccf
The question is incomplete, as the meter readings is not given. So, I will solve using an assumed value for the meter readings.
Let
[tex]x\ m^3 \to meter\ readings[/tex]
The readings in ccf is:
[tex]Reading = \frac{x}{2.832}[/tex]
Now, assume the value of x is 25; The readings will be:
[tex]Reading = \frac{25}{2.832}ccf[/tex]
[tex]Reading = 8.83\ ccf[/tex]
ABC has vertices at A(3.2), B(1.4), and C(2.7).
What will be the new vertices after a 90° counter clockwise rotation about the origin?
Answer:
A = 1,4
B = 2,1
C = -4,-5
Step-by-step explanation:
The 90 degree anticlockwise rotation around the origin (0,0) would over lap the y axis around 1 and due to this the formation would show C point at -4,-5
what is the surface area of a rectangular prism if the length is 14.5 square inches, the width is 11 square inches, and the height is 2 square inches?
PLEASE HELP ITS DUE TODAY
which statement is true ? BRAINLIEST! BRAINLIEST! BRAINLIEST! BRAINLIEST! BRAINLIEST!
Answer:
[tex]\sqrt{11}[/tex] is between 3 & 4
Step-by-step explanation:
A rural homeowner had his television antenna held in place by three guy wires, as shown in the following figure. If the distance to each of the stakes from the base of the antenna are the same, what is true about the lengths of the wires? Explain using congruence theorems.
Answer:
E
Step-by-step explanation:
if you can, answer at least 2 question I put 10 points on it
Answer:
a) one solution(x = 9)
b) no solution
c) infinite solutions
Step-by-step explanation:
a) To solve this equation, we can add 4 on both sides in order to isolate x:
x - 4 =5
+ 4 + 4
x = 9
Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.
b) We start by subtracting 2x from both sides to combine the variable terms:
2x - 6 = 2x + 5
-2x -2x
-6 = 5
The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.
c) We can start by subtracting 3x from both sides to combine the terms with x:
3x + 12 = 3x + 12
-3x -3x
12 = 12
The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.