Answer:
x<4
Step-by-step explanation:
-2x+20<2x+4
−2x+20−2x<2x+4−2x
−4x+20<4
−4x+20−20<4−20
−4x<−16
−4x/-4<-16/-4
x<4 its a open circle
Answer: (1.) 1/3
(2.)2/3
(3.) 2:1
(4.) 1/2
Step-by-step explanation:
(1.) 12 mult. problems and 12+24=36 total so 12/36 =1/3
(2.) 24 div. problems and 36 totals so 24/36 =2/3
(3.) 24 div and 12 mult =24/12 or 2/1
(4.) 12 mult and 24div =12/24=1/2
The answer is 5.13 in²
Step 1. Calculate the diameter of the circle (d).
Step 2. Calculate the radius of the circle (r).
Step 3. Calculate the area of the circle (A1).
Step 4. Calculate the area of the square (A2).
Step 5. Calculate the difference between two areas (A1 - A2) and divide it by 4 (because there are total 4 segments) to get <span>the area of one segment formed by a square with sides of 6" inscribed in a circle.
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Step 1:
The diameter (d) of the circle is actually the diagonal (D) of the square inscribed in the circle. The diagonal (D) of the square with side a is:
D = a√2 (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)
If a = 6 in, then D = 6√2 in.
d = D = 6√2 in
Step 2.
The radius (r) of the circle is half of its diameter (d):
r = d/2 = 6√2 / 2 = 3√2 in
Step 3.
The area of the circle (A1) is:
A = π * r²
A = 3.14 * (3√2)² = 3.14 * 3² * (√2)² = 3.14 * 9 * 2 = 56.52 in²
Step 4.
The area of the square (A2) is:
A2 = a²
A2 = 6² = 36 in²
Step 5:
(A1 - A2)/4 = (56.52 - 36)/4 = 20.52/4 = 5.13 in²
Answer:
Option D
Step-by-step explanation:
Given is a table which gives the order pair of x and y for a function f(x)
We have to find the local minimum of the function f(x)
We have from the table the values of different f(x)
Of all we find the least value is -15 and for this x value is -2 or +2
Hence f(x) has minimum at two points
(-2,-15) and (2,-15)
Out of 4 options given we find that (2,-15) appears in IV option
Hence option D is right answer
Answer:
1/2
Step-by-step explanation:
2 1/4 - 1 3/4 Because the denominator are already the same, all you have to do is make it a mixed number and subtract. To do that you multiply the whole number to the denominator and add that new number to the numerator. So you would then have.
9/4 - 7/4
Keep the denumerator the same and subtract the numerators.
2/4
Then simplify
1/2
