<em>3 minus ___</em> ⇒ 3 - ___
<em>the product of 2 and a number x</em> ⇒ 2x
"3 minus the product of 2 and a number x" ⇒ 3 - 2x
_____
Each part of the description has a translation.
#5) 7.065 sq. ft.
#6) 36 ft
#7) 200.96 sq. ft.
#8) 176.625 sq. ft.
Explanation
#5) Converting 18 inches to feet, 18/12 = 1.5. The area of the circle would be given by A=3.14(1.5)² = 3.14(2.25) = 7.065 sq. ft.
#6) The radius is 18 inches, so the diameter is twice that: 18*2 = 36 inches. Converting this to feet, we have 36/12 = 3 feet. Each stone is 3 feet across. Laying 12 of them against each other would give us a total length of 12*3 = 36 feet.
#7) The radius of the entire mirror with frame is 20/2 = 10. The area of the entire mirror with frame is A=3.14(10²) = 3.14(100) = 314 in².
The area of the mirror without the frame is A=3.14(6²) = 3.14(36) = 113.04 in².
The difference between the two will give the area of the frame:
314-113.04 = 200.96 in²
#8) The area of the circular region is given by A=3.14(7.5²) = 176.625 ft²
<span>In a triangle the sum of two sides is always greater than the third side.
</span><span>A:12,9,21
</span><span>12+9 = 21
21 = 21 </span>⇒ no
<span>B:7,6,12
</span>7+6 = 13
13 > 12 ⇒ yes
<span>C:3,8,14
</span>3+8 = 11
11 < 14 ⇒ no
<span>D:23,13,37
</span>23+13= 36
36 < 37 ⇒ no
Answer: <span>B:7,6,12</span>
Slope m= 2x/-4
Y-intercept = 0
