At the doctor's office, there is a scale that measures people's weight. The needle is 20 cm long, and it rotated 100° when Frank stepped on it. How far did the needle travel as it rotated?
Answers
length of the needle: 20 cm
angle 100°
We need to solve for the length of an arc to get the distance the needle has traveled.
Length of an Arc = n°/360° * 2πr
Length of an Arc = 100°/360° * 2 * 3.14 * 20cm
Length of an Arc = 0.28 * 125.6 cm
Length of an Arc = 35.17 cm
Answer: 100(pi)/9
Step-by-step explanation:
We use the equation (theta/360)(2)(pi)(r)
Theta = 100 (100 degrees of a 360 degree circle)
r = 10 (not 20 because that is the whole needle, we need half of 20 for the radius)
Plugging this in: 100/360 (2)(pi)(10)
2,000(pi)/360
Divide by 20 to simplify:
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(ASAPPP) The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.
Calcule a soma dos multplos positivos de 9 monores que 100
Answers
Answer: Number of bags of 8. = 33
Number of bags of 10. = 31
Step-by-step explanation:
Let x = Number of bags of 8.
y = Number of bags of 10.
As per given.
(i)
(ii)
Put value of x from (ii) in (i)
Put this in (i), x= 31+2=33
Hence,
Number of bags of 8. = 33
Number of bags of 10. = 31
Answers
The difference in area between the large and small cakes is 128π square inches.
How to find the area of a circle?
Suppose the circle has radius of 'r' units, then, its area is given as:
sq. units
Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:
We are given that;
A bakery offers a small circular cake with a diameter =8 inches
A large circular cake with a diameter = 24 inches
Now,
For the small cake, the diameter is 8 inches, so the area is A = (π/4) × 8^2 = 16π square inches.
For the large cake, the diameter is 24 inches, so the area is A = (π/4) × 24^2 = 144π square inches.
To compare the areas, you can divide them by each other:
(144π)/(16π) = 9
This means that the large cake has 9 times the area of the small cake, not 3 times. The difference is because when you increase the diameter by a factor of 3, you increase the radius by a factor of 3 as well, and then you square it in the formula. So the area increases by a factor of 3^2 = 9.
144π - 16π = 128π square inches.
Therefore, by the area of a circle the answer will be 128π square inches.
Learn more about area of a circle here:
#SPJ2
radius=4 for small circular cake
radius=12 for large circular cake
Area of small circular cake=16pi
Area of big circular cake=144pi
144pi/16pi=9 times bigger than small circular cake.
NO, 9 TIMES!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
f(x) = –x – 1
f(x) = –x + 3
f(x) = –x + 13
Answers
subtract 7 from both sides and it becomes -7
y=-(x+6)-7
simplify by y=-x-6-7
y = -x-13
the f(x)=-x+13 could be correct if it was written as f(x) = -(x+13)
Answer:
It should be A since the problem has a -2/3 in the equation so that makes it y+7=-2/3(x+6) and the answer should be f(x)=-2/3x-11.
Answers
Answer:
$65.7
Step-by-step explanation:
Eachpizza costs $10.95.
So to get the amount of 6 pizzas, it has to be multiplied by the amount of each pizza.
That is, 6 × $10.95 =$65.7
=$65.7 is the amount he needs to pay.
Answer: 65.7
Step-by-step explanation: you do 6 x 10.95 = 65.7
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Answers
i hope this be helpful
have a nice day