The option C) 49 inches is the circumference of the circular mat.
<u>Step-by-step explanation:</u>
- Tricia made a circular mat from a square piece of cloth.
- The measure of the side length of the square = 14 inches.
- The length of the side is same as the diameter of the circle.
- Therefore, the diameter of the circular mat = 14 inches.
<u>To find radius :</u>
Radius = diameter / 2
⇒ 14/2
⇒ 7 inches.
<u>To find the circumference of the circular mat :</u>
Circumference = 2πr
where,
π has the default value of 3.14
r is the radius of the circular mat.
⇒ 2 × 3.14 × 7
⇒ 44 inches.
∴ The circumference of the circular mat is 44 inches.
Since, it is not given in the option. The option C) 49 inches which is close to 44 inches is the right option.
Answer:
A. 60,000
Step-by-step explanation:
The answer is A because 2 × 3 is 6 then you add the 4 0's. So it would be 60,000
Calculate the length of each path using the law of cosines:
AB = √(8^2 + 8^2 - 2*8*8*cos(36)
AB = 4.94 ft.
XY = √(8^2 + 8^2 - 2*8*8*cos(79)
XY = 10.18 ft.
ZY = √(8^2 + 8^2 - 2*8*8*cos(65)
ZY = 8.60 ft.
XY is longer than ZY and ZY is longer than AB
The first choice is correct.
Answer:
x^4-x^3-5x^2-3x
Step-by-step explanation
Use the FOIL Method or factor.
Answer:
x < -3
Step-by-step explanation:
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
−4x−3> 36/4
Divide 36 by 4 to get 9.
−4x−3>9
Add 3 to both sides.
−4x>9+3
Add 9 and 3 to get 12.
−4x>12
Divide both sides by −4. Since −4 is negative, the inequality direction is changed.
x< 12/-4
Divide 12 by −4 to get −3.
x < -3