Answer:
25π/6 yd
Step-by-step explanation:
∠DCE = 110°, so arc DFE = 360° − 110° = 250°.
In radians, that's 250° × π/180° = 25π/18.
Arc length is:
s = rθ
s = (3 yd) (25π/18)
s = 25π/6 yd
(-∞,-2) and [2,5) will be the correct representation of the given number line.
A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
Given a number line with arrows.
If a number is included then it is given in the middle bracket [ ] while if it is not included then it is given in the small bracket ().
Since in the given number line,
The line is coming through -∞ and at 2 not up to
So,
(-∞,-2) will be correct.
Now,
The right-hand sideline is going from 2 to 5(not included)
So,
[2,5) will be correct.
Hence "(-∞,-2) and [2,5) will be the correct representation of the given number line".
For more details about the range and domain of the function,
#SPJ2
Answer:
Option 3
Step-by-step explanation:
-infinity < x< -2 , 5 > x ≥ 2
Round bracket for boundary excluded, and square bracket for boundary included
(-infinity, -2) or [2,5)
B.92.5 in²
C. 85 in²
D. 70 in²
Answer:
92.5in
Step-by-step explanation:
10 * 10 = 100
5 * 3 = 15
15/2 = 7.5
100 - 7.5 = 92.5in
B √1.3
C √1.4
D √1.5
Answer:
A = 90.25 pi in^2
Step-by-step explanation:
The circumference is given by
C = 2*pi*r
19pi = 2*pi*r
Divide each side by 2 pi
19pi / 2 pi = 2*pi*r/ 2pi
9.5 = r
The area is given by
A = pi r^2
A = pi ( 9.5)^2
A = 90.25 pi in^2
Answer:
The area of circle is 90.25 π inches².
Step-by-step explanation:
Given:-
Circumference of circle is 19 π in.
To Find :-
Area of circle
Solution :-
Firstly, we need to find radius of circle
Using formula
Circumference of circle = 2 π r
substitute the value
19 π inches = 2 π r
Divide each side by 2 π
19 π inches / 2 π = 2 π r / 2 π
9.5 inches = r
Now, Finding the area of circle
Using formula
Area of circle = π × r²
Where,
Substitute the values
Area of circle = π × ( 9.5 inches)²
Evaluate the exponent
Area of circle = π × 90.25 inches ²
multiply ,we get
Area of circle = 90.25 inches²
Hence, the area of circle is 90.25 π inches².
Answer:
2835x^5.
Step-by-step explanation:
By Binomial Theorem, T(r+1) = nCr * a^(r+1) * b^r.
Term 5 = 7C4 * x^5 * 3^4
= 35 * x^5 * 3^4
= 2835x^5.