The radius of a circle is 10 feet. What is the length of a 46 degree arc?
Answers
Answer:
12.82 feet
Step-by-step explanation:
To find the length of a 46-degree arc of a circle with a radius of 10 feet, you can use the formula for finding the length of a circular arc:
Arc Length = (θ/360) * 2πr
Where:
θ is the central angle in degrees.
r is the radius of the circle.
In this case, θ = 46 degrees and r = 10 feet. Plug these values into the formula:
Arc Length = (46/360) * 2π * 10
Arc Length = (23/180) * π * 10
Arc Length ≈ 12.82 feet
So, the length of a 46-degree arc of a circle with a radius of 10 feet is approximately 12.82 feet.
Related Questions
Having troubles with inequalities.. 3.8x + 14.5 < 32
if 11,100 is invested at 3.1 percent interest compounded monthly, how much will the investment be worth in 19 years?
What is the range of f(x)=lxl-6?
Plz help .......................
Answers
12 × 0.75 = 9 donation units. For each of these 9 danation units her mother will donate 80 cents.
It follows that Emily's mom will donate
9 donation units × $0.80 per unit = $7.20.
Both planes leave from Kansas City at the same time.
Plane A flies due West.
Plane B flies due South.
After 2.5 hours, how far is Plane A from Plane B?
A. 1,425.0
B. 1,322.0
C. 1,258.5
Answers
The distance between Plane A from Plane B is,
⇒ 1,425.0 m
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
Speed of Plane A = 450 mph.
Speed of Plane B = 350 mph.
And, Both planes leave from Kansas City at the same time.
Here, Plane A flies due West.
And, Plane B flies due South.
Now, Distance cover by plane A in 2.5 hours is,
⇒ 450 × 2.5
⇒ 1125 m
And, Distance cover by plane B in 2.5 hours is,
⇒ 350 × 2.5
⇒ 875 m
Thus, The distance between Plane A from Plane B is,
⇒ √1125² + 875²
⇒ 1425.0 m
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You would use distance=rate•time to solve:
450 • 2.5 = 1125
350• 2.5 = 875
Since plane A is going west and B is going south, they form a right triangle, so you can use the Pythagorean theorem to solve for the distance between them, which we will represent as x:
1125² + 875² = x²
1265625 + 765265 = x²
2030890 = x²
Once you square root x, it's about 1425.09298, which is closest to answer A, 1425.0
Answers
To solve this you start by adding like terms on the left side and doing the distributive property and adding like terms on the right. This would get you
4x+7=3x+8
Then you minus 3x on both sides getting
x+7=8
Then subtract 7 from both sides getting x=1.
⇔ 4x + 7 = 3x - 12 + 20
⇔ 4x - 3x = 8 - 7
⇔ x = 1
g(x)= 2x-5. Find g(1/2) and g(a)=99.
g(x)=x+5/2. Find g(3), g(0), g(-3) and g(x)=0
Please solve this quickly. I need it right now. No silly answer will not be allowed.
Answers
Step-by-step explanation:
i. 3x-1=20
or, 3x= 21
x= 7
ii. 3x+1= 22
3x= 21
x= 7
iii. 2x-5=99
2x= 104
x=52
iv. g(3)= 3+5/2= 11/2
g(0)= 0+ 5/2=5/2
g(-3)= -3+5/2 = -1/2
x+5/2= 0
so, x= -5/2
A. 6/7
B. 4/5
C. 4/7
D. 11/6
Answers
The number that lies between the points 1 and 5/6 is 4/5
What is a fraction in math?
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Given here: The proper fraction 5/6=0.83
Now 4/5=0.8
6/7=0.85
11/6=1.83
4/7=0.57
Thus 4/5 must lie between 5/6 & 1
Hence, The correct option is B) 1/5 as no other option lies in the required interval.
Learn more about fractions here:
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Answers
Answer:
The 50th term is 147
Step-by-step explanation:
The nth term of an AP can be find as:
Where, a is the first term, d is the common difference, n is the number of term and is the nth term.
Now consider the provided AP: 0,3,6,9...
Here, the first term is 0, common difference is 3 and n is 50.
Substitute a = 0, d = 3 and n =50 in above formula.
Hence, the 50th term is 147