A person is standing on the equator of Earth (radius 3960 miles). What are his linear and angular speeds?
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 ;
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Given N , what is mABC
Function f is an exponential function that is negative on the interval (-∞, 1) and positive on the interval (1, ∞). Which could be the graph of function f?
Answer:
The correct answer is this graph
Step-by-step explanation:
I just took the test #plato
Answer: the answer is C, but make sure the C has the the line crossing on 0 and -1
Step-by-step explanation:
Took Test om Plato.
what does it mean to square and cube a number?
Answer:
When you multiply a whole number by itself, you get a square number. When you take three copies of a whole number and multiply them all together, you get a cube number.
I need help plz (will give brainlyist)
Answer:
x=5/2 ft
Step-by-step explanation:
∵V=lbh
⇒15/16= 3/4×1/2×x
⇒(15/16)÷(3/8)=x
∴x=5/2 ft
Fill in the blank
7.5 cm =_ m
A. 0.0075
B. 0.075
C. 0.75
D. 750
f(x)=2x^ 2 +9x Find f(10)
A classroom floor has a perimeter of 132 feet. What is the perimeter in
yards?
Answer:
44 yards
Step-by-step explanation:
Formula :
divide the length value by 3
If you have 440 red and blue buttons predict how many would be red.
Answer:
maybe 220/440?
Step-by-step explanation:
Answer mark me branlyist
Step-by-step explanation:
The sum of two numbers is 70. One number is ten more than twice the other number. Find the numbers.
9514 1404 393
Answer:
20, 50
Step-by-step explanation:
Let x and y represent the two numbers.
x + y = 70 . . . . . . their sum is 70
2x +10 = y . . . . . . one is 10 more than twice the other
Using the second equation to substitute for y in the first equation, we have ...
x + (2x +10) = 70
3x = 60 . . . . . . . . . subtract 10
x = 20 . . . . . . . . . divide by 3
y = 70 -20 = 50 . . . find the other number
The two numbers are 20 and 50.
⚠️ Urgent PLS HELP !!!
find the value of x.
Answer:
x = 14.5
Step-by-step explanation:
This is a supplementary angle, meaning the sum of the angles is 180°.
We can find the value of x by combining like terms.
5x - 6 + 7x + 12 = 180.
5x and 7x are alike.
5x + 7x = 12x.
-6 + 12 = 6.
The final equation is 12x + 6 = 180.
We can solve this by subtracting 6 from 180.
180 - 6 = 174.
12x = 174
Lastly, we divide 174 by 12.
174 / 12 = 14.5
Therefore, x is equal to 14.5
Please helppp!!!
what is the perimeter of the triangle?
what is the area or the triangle?
Answer:
The perimeter is 27 km
The area is 21 km^2
Step-by-step explanation:
The perimeter of a triangle will just be all of the sides added up.
12 + 9 + 6 = 27 km
The area of a triangle is:
A = 1/2 * base * height
The base is 6 km, and the height is 7 km. Substituting the values in and solving, we get:
A = 1/2 * 6 * 7
A = 3 * 7
A = 21 km^2
PLEASEHELP ME PLEASE IM BEGGING YOU
Answer:
A. 2520 cm³Step-by-step explanation:
Volume of prism:
V = BhThe base is a right triangle, its area is:
B = 1/2*24*7 = 84 cm²The volume is:
V = 84*30 = 2520 cm³Correct choice is A
x - 2y = 0
2x + y = 5
NO LINKS PLEASE
what is the slope of PQ?
Answer:
-2/3
Step-by-step explanation:
-1.5 - 0.5 / 2.5 - (-0.5)
= -2/3
The amount of interest accrued on
a $7,000 loan with 6% interest after t years.
Answer:
$420t
Step-by-step explanation:
Given data
Principal= $7000
Rate= 6%
Time= t years
The expression for the amount is
Simple interest= PRT/100
Sustitute
Simple interest= 7000*6*t/100
Simple interest= 42000t/100
Simple interest= 420t
Hence the amount after t years is $420t
Help answer helpppp ASAP this TIMED.
I will mark brainliest ´
Please answer question 3
Answer:
57/8 or 7 1/8
Step-by-step explanation:
I think that you would find how many times it fits in the graph which I found it fit three times so you would multiply th e length by three.
A company charges a shipping fee that is 6.5% of the purchase price for all items it ships. What is the fee to ship an item that costs $60? Round to the nearest cent (hundredths place). *
Answer:
The answer is $2.52.
Step-by-step explanation:
56 x .045= $2.52
Answers of these two questions??
Answer:
1:second ans
2:fourth ans!
Step-by-step explanation:
brainlist
Rachel received $650 for her birthday. She purchased a surfboard for $477 and some additional accessories without spending more than the money she received.
She wrote the inequality 477 + x < 650.
Is the inequality correct?
Answer:
No, because the inequality symbol should be less than or equal to 650
What is the volume of a rectangular prism with the dimensions
Para calcular el volumen de un prisma rectangular, multiplica sus 3 dimensiones: longitud x ancho x altura.
2(v + 1). Simplify the expression
Answer:
2v+2
Step-by-step explanation:
The sum of the measures of three
angles is 90°
The measure of angle M is 2x
The measure of angle N is 3x + 8
• The measure of angle Q is 7x - 2
What is the value of x?
A. 7 B. 8
C. 9
D. 6
Answer:
A
Step-by-step explanation:
Equation
2x + 3x + 8 + 7x - 2 = 90
Solution
Combine like terms on the left
12x + 6 = 90 Subtract 6 on both sides
12x = 90 - 6
12x = 84 Divide by 12
x = 84/12
x = 7
Can someone help me with this question plz show work.
Answer:
d
Step-by-step explanation:
V=whl=3·4·6=72
D. 6*4*6≠72
Answer:
D 6x6x4
Step-by-step explanation:
the dimensions are 3x6x4 so 6x6x4 is not the volume of this rectangular prism
find the cost of 72 books at 5.75
Answer:
72×5.75=414
Step-by-step explanation:
is the cost of 72 books
For his long distance phone service, Austin pays a $2 monthly fee plus 12 cents per minute. Last month, Austin's long distance bill was $15.32. For how many
minutes was Austin billed?
Answer: 153
Step-by-step explanation:
Let x = minutes
0.09x + 5 = 18.77
0.09x = 13.77
x = 13.77 ÷ 0.09 = 153
He was billed for 153 minutes
find the accumulated value when $1000.00 is invested for 5 years at 6% annual interest rate compounded quarterly
Answer:
The amount is $1346.86 and the interest is $346.86.
Step-by-step explanation:
To start, use the formula A = P(1+[tex]\frac{r}{n}[/tex])ⁿ°ᵇ [In this case b = time in years]
So, P = $1000, r = 6$, n = 4 and B = 5 years
After plugging it in you get,
A = 1000(1+[tex]\frac{.06}{4}[/tex])⁴°⁵
A = 1000 x 1.015^20
A = 1000 x 1.346855
A = 1346.86
To find the interest, use the formula A= P + I; Since A = 1346.86 and P = 1000 you get:
1346.86 = 1000 + I
I = 1346.86 - 1000
I = 346.86
Then you're finished! Hope this helped!
Brainliest would be appreciated! :)
The function y=60+25sin(pi/6)t, where t is in months and t=0 corresponds to April 15, models the average high temperature in degrees Fahrenheit in Centerville.
b.) What is the maximum high temperature and when does this occur?
NOTE: I found the answer online, I just don't understand how to get there. It's July 15, 85 degrees.
Answer:
The maximum temperature will be of 85 degrees, on July 15.
Step-by-step explanation:
Sine function:
The sine function oscilates between -1 and 1, and it's maximum value is:
[tex]\sin{(\frac{\pi}{2})} = 1[/tex]
y=60+25sin(pi/6)t
The maximum value will occur when [tex]\sin{(\frac{\pi t}{6}}) = 1[/tex], and it will be of 60 + 25 = 85 degrees.
When will it occur?
First we find the value of t for which the value inside the function sine is [tex]\frac{\pi}{2}[/tex]. So
[tex]\frac{\pi t}{6} = \frac{\pi}{2}[/tex]
[tex]\frac{t}{6} = \frac{1}{2}[/tex]
[tex]2t = 6[/tex]
[tex]t = \frac{6}{2} = 3[/tex]
That is the number of months after April 15, which is 3 months. So July 15.
What is the range of y = 7x^2 + 14x – 9?
Answer:
-1,-16
Step-by-step explanation:
y=ax^2+box+c
16. Which of the following
numbers should go in the
space to make the equation
true?
(4 x 2) × (6-3) = 4 x_x2
Answer: 3
Step-by-step explanation: Start off by solving the right side of the equation: 4 x 2 is 8 and 6 - 3 is 3, and then you must do 8 x 3 which is 24. Now, the equation should look like this: 24 = 4 x _ x 2. Next, you should go a step further with the left side of the equation by multiplying 4 and 2. Now, the equation should look like this: 24 = 8 x _. For the final step, you must divide 8 on both sides to solve for the missing number. Since 24 divided by 8 is 3, your answer is 3.