Answer:
Linear speed =ωr=2π/86400×3960=11π/120 miles/s.
Step-by-step explanation:
The linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.
It is given that radius of equator of earth is 3960 miles.
We have to find the linear and angular speeds.
What do you mean by the linear speed ?
The linear speed of a point on the object is equal to the angular speed (ω) multiplied by the distance r.
As per the question ;
radius of equator of earth = 3960 miles
The linear speed will be ;
s = rθ / t
We know that ; at any point of equator would complete 360° or 2π radians revolutions every 24 hours.
So ;
s = (3960 miles × 2π) / 24 hour
s = 330π miles / hour
s ≅ 1036.73 miles / hour
And
The angular speed will be ;
ω = s / r
ω = 1036.73 / 3960 minutes
ω = 0.26 radian/hour
Thus , the linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.
To learn more about linear and angular speed click here ;
https://brainly.com/question/15154527
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A cube has an A on 3 sides and a B on 3 sides. Rolling it 50 times results in 17 A's and 33 B's.
Using this observed probability, how many A's would be rolled in 750 tries?
Find the 9th term of the geometric sequence show below
Answer:
40x^20
Step-by-step explanation:
Each sequence the x value doubles.
Each sequence the x exponent goes up by 5
Find the measures of the interior angles of the triangle.
∠A = 30°
∠B = °
∠C= °
I uploaded the file. Please help this is due in 10 min! I will also give brainiest! PLEASE NO DROP FILES OR I WILL REPORT!
Answer:
∠A = 30°
∠B = 60°
∠C= 90°
Step-by-step explanation:
This is a right triangle, you can see it mainly by the red square in C, and it is always used to mark 90 degrees.
Knowing that, you now know ∠C is 90°
Now, to find ∠B, you should use the following equation:
A+B+C = 180°This means that the sum of the three angles of a triangle gives 180. ALWAYS. So to find the missing angle, ∠B, do the following:
Fill the values of the equation with the angles you now know:
30° + B + 90° = 180Solve the equation, passing the 30° and 90° to the other side of the equal sing with Inverse Operation:
B = 180° - 30° - 90°B = 60
Hope it helps!!
Please help me 7th grade math
Answer: 1/8
Step-by-step explanation: hoped this helped :))
The volume of wood in a tree varies jointly as the height of the tree and the
square of the distance around the tree trunk. If the volume of wood is 15.84 cubic
feet when the height is 22 feet and the distance around the trunk is 3 feet, what is
the volume of wood obtained from a tree that is 32 feet tall having a measurement
of 4 feet around the trunk?
please help :))
Answer:
The volume is 40.96 cubic feet
Step-by-step explanation:
Given
[tex]V\ \alpha\ h * d^2[/tex]
Where
[tex]V = Volume\\ h = height\\ d = distance[/tex]
[tex]V = 15.84ft^3; h =22ft; d = 3ft[/tex]
Required
The volume when h = 32 and d = 4
[tex]V\ \alpha\ h * d^2[/tex]
Express as an equation
[tex]V = khd^2[/tex]
Where k is the constant of variation.
Make k the subject
[tex]k = \frac{V}{hd^2}[/tex]
Substitute [tex]V = 15.84ft^3; h =22ft; d = 3ft[/tex]
[tex]k = \frac{15.84}{22 * 3^2}[/tex]
[tex]k = \frac{15.84}{22 * 9}[/tex]
[tex]k = \frac{15.84}{198}[/tex]
[tex]k = 0.08[/tex]
To solve for V when h = 32 and d = 4, we have:
[tex]V = khd^2[/tex]
[tex]V = 0.08 * 32 * 4^2[/tex]
[tex]V = 0.08 * 32 * 16[/tex]
[tex]V = 40.96[/tex]
The volume is 40.96 cubic feet
The volume of the wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk is [tex]40.96 \: \rm ft^3[/tex]
What is directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
[tex]p = kq[/tex]
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
For this case, we have:
V = volume of the wood varying jointly as height of the tree and square of the distance around the trunk.
Let we take:
r = distance of the wood around the trunk (in feet)h = height of the tree ( in feet)V will of course increase as r or h increases, and as it varies jointly, thus:
[tex]V \propto h r^2[/tex]
Let the constant of proportionality be 'k', then:
[tex]V = kr^2h[/tex] (in cubic foot)
For case 1, it was specified that V = 15.84 cubic foot when r = 3 ft and h = 22 ft,
Putting these values gives us:
[tex]15.84 = k(3)^2(22)\\\\k = \dfrac{15.84}{198} = 0.08[/tex]
Thus, we have:
[tex]\rm V = 0.08r^2 h \: \rm ft^3[/tex]
Assuming second wood was also obtained from same kind of tree, we get the volume of the wood for h = 32 and r = 4 feet as:
[tex]V = 0.08 (4)^2 (32) = 40.96 \: \rm ft^3[/tex]
Thus, the volume of the wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk is [tex]40.96 \: \rm ft^3[/tex]
Learn more about proportionality here:
https://brainly.com/question/13082482
If you place a 28-foot ladder against the top of a 22 foot building
Answer:
17.3 ft
Step-by-step explanation:
To find the second leg, use the following: √c² - a². Substitute c for 28, and a for 22.
b = √28² - 22² {Square 28 to get 784, and square 22 to get 484.}
b = √784 - 484 {Subtract 484 from 784 to get 300.}
b = √300 {Find the square root of 300.}
b = 17.32051 {Round to the nearest tenth.}
b = 17.3 ft.
The bottom of the ladder will be 17.3 ft from the bottom of the building.
I hope this helps! ^w^
Find the missing side of each right triangle (((((Pythagorean’s Theorem))))))))
Answer:
3
Step-by-step explanation:
36-27 = 9
[tex]\sqrt{9} = 3[/tex]
Which of the following represents the distance between -8 and 4 on a number line?
Answer:
You would put an open dot on both ends from -8 to 4 or just a distance of 12
Step-by-step explanation:
Mathematics Grade 5 Sample Items
Tral
Question 26
Line
Guide
Enter a value for b that makes this statement true; 5* b is less than 5 but greater than 0.
?
Answer:
The answer is within the range of 0.1 - 0.9.
Step-by-step explanation:
For example, 0.5 could be the answer.
Consider a situation in which P(A), = 1/8, P(C) = 1/4, and P(A and B) = 1/12. what is P(V and C)
Answer:
1/6
Step-by-step explanation:
just did on edg
what is the square root of 377.68
Answer:
19.4339908408
In the figure TU is tangent to the circle at the U point. See below
Answer: 6
Explanation: 8 + 4 divided by 2 = 6
I know this is definitely the correct answer but I forgot which theorem it is. If you need any further explanation I will gladly try and find some more.
The wholesale price of a basketball was $10.00. The store marked it up an additional 120%. What was the sale price?
Answer:
The sale price was 54.55 but if you round it up its 55 hope i helped!
Step-by-step explanation:
Please help! 4th grade math. (See below)
*Use an equation to write each fraction or product as a multiple of a unit fraction*
3/5
If
GIVING 50 POINTS IF YOU ANSWER!!!!
Answer:
MAD would be more similar than mean
Step-by-step explanation:
Without doing any calculations, I assumed that the average value for each neighbor is different since their dot plots surround different areas. The MAD is the mean absolute deviation where it shows how distributed are the dot plots compared to the average value. In this case, I can tell that both neighborhoods having a very similar distribution of dot plots relative to their average/mean. Hope this helps!
For each pair of functions F and G below, find f(g(x)) and g(f(x)).
Then, determine whether f and g are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all x in the domain of the composition.
You do not have to indicate the domain.)
Answer:
FG
Step-by-step explanation:
COOL AIDS BRO FAX AND MORE STUFF
The function f(x) = x - 4 and g(x) = x + 4 and the function f(x) = -3/x and g(x) = 3/x are not inverse of each other.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
For each pair of functions F and G below, find f(g(x)) and g(f(x)).
a) f(x) = x - 4 and g(x) = x + 4
Then f(g(x)) will be
[tex]\rm f(g(x)) = x[/tex]
Then g(f(x)) will be
[tex]\rm g(f(x)) = x[/tex]
The functions f and g are not inverse of each other.
b) f(x) = -3/x and g(x) = 3/x
Then f(g(x)) will be
[tex]\rm f(g(x)) =- x[/tex]
Then g(f(x)) will be
[tex]\rm g(f(x)) = -x[/tex]
The functions f and g are not inverse of each other.
More about the function link is given below.
https://brainly.com/question/5245372
If two figures that are similar have a factor of 1.2, the second figure is:
A quick answer and no link please!
Answer:
enlarged
Step-by-step explanation:
imagine there are two figures, figure A and B. figure A has a length of 10cm and the scale factor is 1.2
the length of figure B = 10 X 1.2 = 12
Figure B has a longer length than figure A. thus figure B is an enlarged version of figure A.
Conversely, if the factor is 0.2
the length of figure B = 10 X 0.2 = 2cm
the length of figure B is less than that of figure A. Thus, figure B is a scaled image of A
Find the area of the figure
Answer:
288.62
Step-by-step explanation:
what is x²=16?
2
3
4
8
Answer: 4
Step-by-step explanation:
4^2=16
Answer:
4
Step-by-step explanation:
When we square something we just multiply it by itself.
2 x 2 = 4 so not 2
3 x 3 = 9 so not 3 either
4 x 4 = 16 this one is correct!
8 x 8 = 64 not this one either
So the answer is 4 BOOM
answer pls i will give brainliest!
Answer:
surface tension
Step-by-step explanation:
It seems to defy the laws of physics, but a paper clip made of steel can indeed float on the water surface. The high surface tension helps the paper clip - with much higher density - float on the water.
The cohesive forces between liquid molecules are responsible for the phenomenon known as surface tension. The molecules at the surface of a glass of water do not have other water molecules on all sides of them and consequently they cohere more strongly to those directly associated with them (in this case, next to and below them, but not above). It is not really true that a "skin" forms on the water surface; the stronger cohesion between the water molecules as opposed to the attraction of the water molecules to the air makes it more difficult to move an object through the surface than to move it when it is completely submersed.
If I went to the store and purchased a
T-shirt for $10 and jeans for $25, what
was my total expense at the store? Explain
how you got your total.
If 19.3% of children and adolescents are obese (14.4M), what is the total number of children and adolescents overall? Please i need help
Answer:
74,611,399
Step-by-step explanation:
Percentage of obese children and adolescent = 19.3%
19.3% = 14.4 million
The overall number of children and adolescent equals a total percentage of 100%
Hence,
If 19.3 % = 14.4 million
100% = x
Cross multiply :
19.3% x = 100% * 14.4 million
0.193x = 14400000
x = 14400000 / 0.193
x = 74611398.964
Total number of children and adolescent = 74,611,399
Mrs. Garcia wants to paint her patio floor. She needs to determine the area so she will know how much paint to buy. What is the area of the patio floor shown?
Answer: 375 ft
Step-by-step explanation:
break the shape into three parts in order to find the area of each of them look at the picture. I broke the parts into numbers 1 ,2 ,and 3. You can take the area for number one bye using the length given which is 20 and the width which is 5. Multiply the length times width and you'll receive the area. Box 2 : subtract 5 - 15 in order to get the width which is 10 and use the lengths given at the top which is 20. multiply them in order to get the area. box 3 : in order to get the width you can subtract 30 by 20 + 5 which leaves you with 5, which is the width. The length is already given to you on the side which is 15. Multiply 5 by 15 in order to get the area.once you get all of the areas for the boxes which should be 100, 200, 75. add them all up to obtain the area of the shape which should equal 375 ft.
The sum of two angle measures is supplementary. The measure of the first angle is
123∘.
What is the measure of the second angle?
Select one:
57∘
67∘
47∘
37∘
when did the alec meet the stallion ?
Answer:
The Black Stallion, known as the Black or Shêtân, is the title character from author Walter Farley's bestselling series about the Arab stallion and his young owner, Alec Ramsay. The series chronicles the story of a sheikh's prized stallion after he comes into Alec's possession, although later books furnish the Black's backstory. Shaytan (under various transliterations) is the Arabic word for "devil".
1) If you roll two dice, one red and one blue, what is the probability that the red die shows 5 and
the product of both numbers shown is less than 20?
Answer:
3 combinations
Step-by-step explanation:
Simplify the polynomial, then evaluate for x = 2 . x + 3x ^ 2 + 2x - 3 - 4x ^ 2 + 6
Answer:
-x^2+3x+3
Step-by-step explanation:
if the evaluated answer is correct (but my answer above is correct) it would be -4+6+3 then the answer would be 5 but I am not sure
what is the equation of a line that passes through 2,-3 with a slope of 2/3
Answer:
y=2/3x-13/3
Step-by-step explanation:
this is the equation
A ball is thrown vertically upward from the ground. Its distance in feet from the ground in t seconds is s=−16t2+192t. After how many seconds will the ball be 560 feet from the ground?
Answer:
t=7seconds or 5seconds
Step-by-step explanation:
s=-16t^2 +192t
let s=560ft
560=-16t^2 +192t
16t^2 -192t+560=0
16(t^2-12t+35)=0
(t^2 -12t +35)=0
factoring it ,it will give
(t-7)(t-5)=0
solving for t
t-7=0 or t-5=0
t=7s or t=5s