The radius of a circle is 2 feet. What is the length of a 135° arc?
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Answer: length of arc = 4.71 feet
Step-by-step explanation:
An arc is a portion of the circumference of a circle. The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 2 feet
θ = 135 degrees
Therefore,
Length of arc = 135/360 × 2 × 3.14 × 2 = 4.71 feet
Answer:
3/2
Step-by-step explanation:
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Explanation: every number of the sequence is the previous less 2 and the first terms is 10.
Answer:
D. 10, 8, 6, 4, 2, ...
Step-by-step explanation:
I got it right on the EDG. unit test!
Answers
The statement is False.
Right triangles don't all look the same.
When two triangles are similar, their corresponding angles and sides must be equal and proportional.
Although right triangles have the same attribute of having a single 90-degree angle, they might differ in their side lengths and angles, therefore they are not always comparable.
The relationship between a triangle's angles and side lengths determines how similar they are.
Only when the side lengths of two right triangles are proportionate and all of their angles, including the right angle, are congruent can two right triangles be said to be similar.
Hence the statement is false.
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-- The product of the two numerators is the numerator of the product.
-- The product of the two denominators is the denominator of the product.
multiply straight across
2 x + 2 x < - 3
X x = -3
- x - 2 X > -3
y = -6
y=-4
y=-3
y = 0
y = 1
y = 3
Answers
-6, -4, -3, and 0 are the values which are within the range of the piecewise-defined function.
Correct options: a) y = -6, b) y = -4, c) y = -3, d) y = 0
Here, we have, to determine which values are within the range of the piecewise-defined function, we need to evaluate the function for each given value of y.
Given piecewise-defined function:
f(x) =
2x, x < -3
x, x = -3
-x - 2, x > -3
Let's evaluate the function for each value of y:
a) y = -6
For y = -6, we need to find x such that f(x) = -6.
-6 is in the range of the function if there exists an x such that f(x) = -6.
For x < -3: f(x) = 2x
2x = -6
x = -3
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = -6
x = 4
Since there is a value of x (-3) that satisfies f(x) = -6, option a) y = -6 is correct.
b) y = -4
For y = -4, we need to find x such that f(x) = -4.
-4 is in the range of the function if there exists an x such that f(x) = -4.
For x < -3: f(x) = 2x
2x = -4
x = -2
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = -4
x = 2
Since there is a value of x (-3) that satisfies f(x) = -4, option b) y = -4 is correct.
c) y = -3
For y = -3, we need to find x such that f(x) = -3.
-3 is in the range of the function if there exists an x such that f(x) = -3.
For x < -3: f(x) = 2x
2x = -3
x = -1.5
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = -3
x = 1
Since there is a value of x (-3) that satisfies f(x) = -3, option c) y = -3 is correct.
d) y = 0
For y = 0, we need to find x such that f(x) = 0.
0 is in the range of the function if there exists an x such that f(x) = 0.
For x < -3: f(x) = 2x
2x = 0
x = 0
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = 0
x = -2
Since there is a value of x (-3) that satisfies f(x) = 0, option d) y = 0 is correct.
e) y = 1
For y = 1, we need to find x such that f(x) = 1.
1 is in the range of the function if there exists an x such that f(x) = 1.
For x < -3: f(x) = 2x
2x = 1
x = 0.5
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = 1
x = -3
Since there is no value of x that satisfies f(x) = 1, option e) y = 1 is incorrect.
f) y = 3
For y = 3, we need to find x such that f(x) = 3.
3 is in the range of the function if there exists an x such that f(x) = 3.
For x < -3: f(x) = 2x
2x = 3
x = 1.5
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = 3
x = -5
Since there is no value of x that satisfies f(x) = 3, option f) y = 3 is incorrect.
Correct options: a) y = -6, b) y = -4, c) y = -3, d) y = 0
The correct values within the range of the piecewise-defined function are -6, -4, -3, and 0.
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Answer:
-6, -4, -3, 0
Step-by-step explanation:
I just did this question and got it right.
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Answer:
$80 - $20 = $60 left.
Step-by-step explanation:
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