HELP EXPLAIN STEP BY STEP In a circle whose radius is 8, the length of an arc of the circle is 2π. In radians, what is the measure of the central angle subtended by the arc?
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Answer:
Step-by-step explanation:
We have been given that the radius of a circle is 8 and the length of an arc of the circle is 2π. We are asked to find the measure of central angle subtended by the arc in radians.
We know that the arc length of a circle is equal to central angle times the radius of circle.
Therefore, the measure of central angle is radians.
2π = 8*θ ⇒ θ = 2π/8 = π/4
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Danae is choosing between two jobs. One job pays an annual bonus of $1,500 plus $120 per day worked. The second job pays a annual bonus of $2,500 plus $100 per day worked.120d + 1,500=100d+ 2,500 d=100 How much will Danae have earned on day 100 at either job? A: 12,000 B:12,500 C:13,500 D:14,500
What number is 0.4% of 20?
It’s due tomorrow please someone help
If a base is negative, how will you know whether the answer is positive or negative before evaluating it?
2x+3y=1
Use the substitution method.
(2, −6)
(5, −3)
(0, −8)
(4, −4)
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2x + 3(x-8)=1
2x +3x- 24=1
5x = 24
x=4.8
Given that we have the value of x, we can now substitute it in the other equation.
y=x-8
y=4.8-8
y= -3.2
The answer is (4.8, -3.2)
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Using the formula P = 2L + 2W, we were able to solve for the width of a rectangle with a length of 34 ft and a perimeter of 112 ft. The width of the rectangle is 22 ft.
To find the width of the rectangle, we need to rearrange the formula P = 2L + 2W to solve for W.
Starting with P = 2L + 2W, we can isolate W by subtracting 2L from both sides:
P - 2L = 2W
Now we divide both sides by 2 to isolate W:
W = (P - 2L) / 2
Substituting the given values, we get:
W = (112 - 2(34)) / 2
W = (112 - 68) / 2
W = 44 / 2
W = 22
Therefore, the width of the rectangle is 22 ft.
In summary, using the formula P = 2L + 2W, we were able to solve for the width of a rectangle with a length of 34 ft and a perimeter of 112 ft. The width of the rectangle is 22 ft.
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Final answer:
The ordered triple (2, -5, 4) is located in the same octant as the ordered triple (3, -4, 7) as they both share a positive, negative, positive pattern in their coordinates, indicating that they are both situated in the second octant of the Cartesian coordinate system.
Explanation:
The question requires the identification of the octant in which the ordered triple (3, -4, 7) is located and then determining which other given ordered triple shares the same octant. In the Cartesian coordinate system, an octant is each of the eight divisions of a three-dimensional coordinate system. By looking at each coordinate of the ordered triple (3, -4, 7), we can see that the first value is positive, the second is negative, and the third is positive. This primes us to the second octant. Going through the list of ordered triples, we find that (2, -5, 4) shares this same signage pattern: first coordinate positive, second negative, and third positive. Such alignment implies that (2, -5, 4) is also in the second octant. Therefore, the ordered triple that is in the same octant as (3, -4, 7) is (2, -5, 4).
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Answer:
32÷35=0.9142857142857143
Answer:
decimal equivalent is .91429 (simplified)
he likely made the mistake of dividing 35 by 32 instead of the other way around
Step-by-step explanation:
to find the answer you divide 32 by 35 instead of dividing 35 by 32
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Answer:
B. 49:9
Step-by-step explanation:
The ratio of surface areas is the square of the ratio of edge lengths:
7² : 3² = 49 : 9