Allison lives in Kansas City, which has coordinates of 39o5'59" N, 94o34'41 W (39.0997o N, 94.5783o W). (Earth's radius is 3950 miles). What is Allison's angular velocity in radians/hour? What is Allison's linear velocity, with respect to the center of earth in miles per hour?
Answer:
Allison's angular velocity is approximately π/12 radians/hour
Allison's linear velocity, with respect to the Earth, v is approximately 802.52 miles/hour
Step-by-step explanation:
The coordinates of Kansas City where Allison lives = 39°5'5'' N, 94°34'41''W (39.0997° N, 94.5783° W)
The radius of the Earth, R = 3950 miles
The rate of rotation of the Earth ≈ 2·π radians in 24 hours
The angular velocity of the Earth, ω ≈ 2·π/24 radians/hour ≈ π/12 radians/hour
The angular velocity of the Earth = Allison's angular velocity ≈ π/12 radians/hour
Allison's angular velocity, ω ≈ π/12 radians/hour
Allison's radius or revolution with respect to the axis of the Earth, r = 3950 miles × cos(39.0997°) ≈ 3,065.39635 miles
The linear velocity, v ≈ ω × r
∴ v ≈ π/12 radians/hour × 3,065.39635 miles = 802.518887792 miles/hour
Allison's linear velocity, with respect to the Earth (0 linear velocity), v ≈ 802.52 miles/hour
Prove that the recurring decimal 0.43333... has the value 13/30
Answer:
0.43ᵣ = 0.1 + 0.33ᵣ = 1/10 + 1/3 = 3/30 + 10/30 = 13/30
The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
x = 0.43333......
Multiply the equation by 10 on both sides, then we have
10x = 10 × 0.43333......
10x = 4.33333...... ...1
Multiply the equation by 100 on both sides, then we have
100x = 100 × 0.43333......
100x = 43.33333...... ...2
Subtract equation 1 from equation 2, then we have
100x - 10x = 43.3333.... - 4.3333.....
90x = 39
x = 39 / 90
x = 13 / 30
The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Cora babysat for 3 1/2 hours and charged at $28. At the same hourly rate, what would she charge for 5 1/2 hours of babysitting?
42.9 goodluck :) ...
Help please I give brainliest
Answer:
A) No Association
Step-by-step explanation:
Your shoe size and your math grade have nothing whatsoever to do with each other, so the answer would be No Association.
Hope it helps!
More trig questions! Given that sin(C) = cos(B)Find the measure of ∠C if m∠C=10x+4 and the m∠B = 4x+2
Answer:
angle C = 64 degrees
Step-by-step explanation:
sin C = cos B
angle C = 10x+4
angle B = 4x+2
angle C + angle B = 90 degrees
10x+4 + 4x+2 = 90
simplify:
14x+6 = 90
14x = 84
x = 6
angle C = 64 degrees
Hi, which one is the correct answer? thank you
Answer:
Step-by-step explanation:
tan B=372/279=(31×12)/(31×9)=12/9=4/3
Help me please i will give brainliest
Answer:
1. C. x^8
2. C. 3^9
3. D. 12x^7
Step-by-step explanation:
1.
x^6 * x^2 = x^(6 + 2) = x^8
Answer: C. x^8
2.
3^2 * 3^3 * 3^4 = 3^2 + 3 + 4) = 3^9
Answer: C. 3^9
3.
3x^2 * 4x^5 = 3 * 4 * x^2 * x^5 = 12x^(2 + 5) = 12x^7
Answer: D. 12x^7
help please bdhsfhisbf
If Tony Has 30 cookies, 10 sodas, and 20 lollipops and he eats 10 cookies, drinks 5 sodas and 10 lollipops, what does he have now?
A: Diabetes
B: No self control
C: Hypertension
D: All of the above
Answer:
C: Hypertension
Step-by-step explanation:
I'd say Hypertension would be the only educational way to answer this question in a scientific way. As u can see cookies,lollipops and sodas have a lot of sugar which could cause high blood pressure.
The graph of a linear function iS shown.
Which word describes the slope of the line?
positive
negative
zero
undefined
The set of whole numbers contains the set of rational numbers.
Every square root is a rational number
The integers are closed under addition.
True or False?
If false provide a counterexample.
Answer:
false -- 2/3 is not a whole number
true -- a terminating decimal is like 0.35 which is 35/100
false
true
so, 2 out of 4.
The number 7,945 rounded to the nearest hundred is 7,950.
True
False
Answer:
false, it would be 8,000
4 adults and 3 children to go to a show how much is if for the 4 adults
Graph the function.
h(x)=1/3x^2 + 2x - 4
Answer:
this should be right
Step-by-step explanation:
Why is trig like this?? B:What is the appropriate trig ratio that can be used to solve for x? C:Write the equation
Answer:
sin
sin 20 = x/15
15 sin 20 =x
Step-by-step explanation:
We want to find the opp/ hyp
sin 20 = opp / hyp
sin 20 = x/15
15 sin 20 =x
What is the next number in the sequence below?
1 3 5 7
Answer: 9
Step-by-step explanation:
It's odd numbers. Also the pattern is counting by 2 every time.
Answer choices
79in
158in
103in
118in
164in
it's 158 inches
----------------------------
I don't understand this math problem, please help
Answer/Step-by-step explanation:
1. <A = <B (alternate angles theorem)
90° = 2x (substitution)
Divide both sides by 2
90/2 = 2x/2
45 = x
x = 45
2. <3 = <5 (corresponding angles theorem)
½x = 60 (substitution)
Multiply both sides by 2
x = 60*2
x = 120
3. Based on supplementary bangle theorem, sum of supplementary angles = 180°. Therefore:
m<LFG + m<ABC = 180°
2.5x + x + 33 = 180 (substitution)
Add like terms
3.5x + 33 = 180
3.5x = 180 - 33
3.5x = 147
x = 147/3.5
x = 42
3a. m<LFG = 2.5x
Plug in the value of x
m<LFG = 2.5(42)
m<LFG = 105°
3b. m<ABC = x + 33
Plug in the value of x
m<ABC = 42 + 33
m<ABC = 75°
A customer's entire breakfast bill is $8. If the customer pays the server for the entire bill plus a 25% tip, what is total amount the customer pays?
A. $6
B. $10
C. $20
D. $32
Answer:
10
Step-by-step explanation:
Please help! It would mean a lot! I will give brainliest!
Prove your answer as to why 5 mm, 10 mm, and 1 mm will or will not form a triangle.
Answer:
Step-by-step explanation:
10-5=5 and 10+5=15 so it would need to be greater than 5 and less than 15 for those two
For 5 and 1 to work
5-1=4 and 5+1=6 so it would need to be greater than 4 and less than 6
And 10-1=9 and 10+1=11 so it would need to be greater than 9 and less than 11
Is all of these solutions 5,10,and 1 wouldn't work
John is comparing his workers’ production for the day. The ratios of items produced to time in hours are shown. Worker Items Production Ratio James 12 : 3
Charlie 7 : 2 Michael 14 : 2 Fred 16 : 4 Which two workers have equivalent ratios?
Solve for x................
Answer:
x = 17
Step-by-step explanation:
Use the interior angle sum theorem which says:
if n is the number of sides the sum of the interior angles is 180(n-2)
there are 6 sides, so the interior angle sum is 180(6 - 2) = 180 * 4 = 720.
This means that if you add all the angles you will get 720, so:
[tex]110 + 8x - 1+5x+36+116+7x+19+6x-2=720[/tex]
[tex]26x+278=720\\26x = 442\\x = 17[/tex]
Use the figure for 1-4.
E
HT
F
K
А
D
B
2. Use geometry notation to identify a ray.
Answer: the ray is K to A
Step-by-step explanation: a ray can be defined as a part of a line that has a fixed starting point (being K) but no fixed end point
(I would like to see the answer choices please)
The “Chippy” brand of chips cost $2.30 per bag. The “Crunchy Goodness” chips cost $6.30 for 3 bags of chips. Which bag has a lower unit price?
Answer: The chippy brand
Step-by-step explanation: Since 3 bags for the crunchy goodness is 6.30 dollars, we don;t need to worry about that. SO, lets see how much money is 3 bags from the chippy brand.
2.30 x 3 = 6.90
Chippy: $6.90
Crunchy Goodness: $6.30
Now that we compared the Chip brans, its obvious that crunchy goodness is cheaper
Answer:
The crunchy goodness chips.
Step-by-step explanation:
If the crunchy goodness chips cost $6.30 for 3 bags and the chippy chips cost $2.30 for each bag, you do $2.30 times 3. That equals 6.90. So, $6.30 is less than $6.90 meaning that crunchy goodness chips have a lower price.
Answer this correctly I’ll give brainalist + 10 points
the sum of supplementary angles is 180 degree
therefore
x +2x = 180°
3x = 180
X = 180/3 = 60°
the value of X is 60°
I Need help on this question
Answer:
I’m sorry, can you please tell me the options for the drop down menu. Thanks, I will edit my answer when you do.
Step-by-step explanation:
WILL MARK BRAINLIEST ONLY HAVE 5 MINUTES EXTRA POINTS
Answer:
A - 8 out of 71
Step-by-step explanation:
I’m guessing a, if I’m right can you mark brainliest!
Patty's pet puppy, Oreo, liked to lie down on a small carpet by the door. The
carpet was 1 { feet long and 3 feet wide. What is the perimeter of the
carpet?
The area of a circle is 4πm2 What is the circumference , in meters ? Express your answer in terms of π
Answer:
4(pie)m^2
Step-by-step explanation:
area of a circle is r^2(pie)
so if the area of the circle is 4(pie) set that equal to r^2(pie)
the pies' cancell
and you are left with 4=r^2
r=2
now the formula for the circumference is
2r(pie)
insert 2 for r
2(2)(pie)
4(pie)m^2 is the circumference
Hope that helps :)
5. A football team plans to raise ticket prices next season by 9.5%. If each football admission ticket
costs $34.50 this season, approximately how much will an admission ticket cost next season?