HELP ME PLEASE! I am not good at math
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Which measurement is most accurate to describe the weight of an adult?10 kg 750 g 80 kg 1,250 mg
How much would $200 invested at 4% interest compounded monthly be worth after 8 years? Round your answer to the nearest cent. a(t)=p(1+r/2)^ntA. $205.40B. $273.71C. $322.83D. $275.28
11. Find the area of each figure. Show all your calculations a. 3 cm 13 cm
3D shape practice. I'm stuck in this problem. Pleas help.
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b) 31.42 meters
c) 10.47 meters
d) 2.09 meters
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The length of the arc captured by a central angle of 120 degrees in a circle with a radius of 5 meters is approximately 10.47 meters. Hence, the correct answer is an option (c) 10.47 meters.
What is an arc?
Arc is the measure of the angle on the circumference of a circle.
Length of an Arc = θ × (π/180) × r
Here,
The length of an arc of a circle with radius r and central angle θ (in radians) is given by the formula:
Length of arc = r × θ
To use this formula, we need to convert the given central angle of 120 degrees to radians:
θ = (120/180) × π = 2/3 × π
Now, we can substitute the given values into the formula to get the length of the arc:
Length of arc = 5 × (2/3 × π) = (10/3) × π ≈ 10.47 meters
Therefore, the length of the arc captured by a central angle of 120 degrees in a circle with a radius of 5 meters is approximately 10.47 meters. Hence, the correct answer is an option (c) 10.47 meters.
Learn more about arcs here:
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n⁰ × 2πr
360
Where; n⁰ is the angle
π is pie, which is 22/7 or 3.143 approximately
and r is the radius
Anyway, according to the question;
n⁰ is 120⁰
and r is 5 meters. And as you know, the pie is 22/7. So that will be
120⁰/360 x 2 x 22/7 x 5
And that will give you 10.47metres. Which is approximately 11 metres. Hope i helped, have a nice day
(x+4)(x+4)
(d+7)(d+1)
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Answer: This is a problem of inverse variation, where the number of days that the food lasts is inversely proportional to the number of soldiers in the fort. We can use the formula:
d = k / s
where d is the number of days, s is the number of soldiers, and k is a constant of proportionality. We can find the value of k by using the initial information:
48 = k / 1500 k = 48 * 1500 k = 72000
Now we can use the information after 13 days to find the new number of soldiers. Let x be the number of soldiers who joined the fort. Then we have:
25 = 72000 / (1500 + x) 25 * (1500 + x) = 72000 37500 + 25x = 72000 25x = 34500 x = 1380
Answer: The number of soldiers who joined the fort after 13 days is 1380.
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1) Group the like terms and simplify.
2) Do follow the BODMAS Rule. Simplify terms inside the brackets, first. Then, follow this serial: Division, Multiplication, Addition, Subtraction.
Method:
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C=2*pi*r
C = 2*3.723*59 inches
C = 370.71 inches
The circumference of a circle is 370.71 inches.