The <em>correct answers</em> are:
5x²+70x+245 ≥ 1050; and
Yes.
Explanation:
Let x be the width of the tablet. Since the width of the TV is 7 inches more than the tablet, the width of the TV would be x+7.
The length of the TV is 5 times the width; this makes the length 5(x+7) = 5x+35.
The area of the TV would be given by
(x+7)(5x+35).
Since Andrew wants the area to be at least 1050, we set the expression greater than or equal to 1050:
(x+7)(5x+35) ≥ 1050
Multiplying this, we have:
x*5x+x*35+7*5x+7*35 ≥ 1050
5x²+35x+35x+245 ≥ 1050
Combining like terms,
5x²+70x+245 ≥ 1050
To see if 8 is a reasonable width for the tablet, we substitute 8 for x:
5(8²)+70(8)+245 ≥ 1050
5(64)+560+245 ≥ 1050
320+560+245 ≥ 1050
1125 ≥ 1050
Since this inequality is true, 8 is a reasonable width.
Answer:
8
Step-by-step explanation:
sin theta = opposite side/ hypotenuse
sin 30 = 4/x
Multiply each side by x
x sin 30 = 4
Divide each side by sin 30
x sin 30 /sin 30 = 4 sin 30
x = 4 /sin 30
We know that sin 30 = 1/2
x = 4 / 1/2
x = 8
Answer:
Cost = 616000 DHS per square centimetre.
Step-by-step explanation:
curved surface of a cylinder = 2
rh
r = 7 cm
h = 1400 m = 140000 cm
The outer curved surface area of the cylinder = inner curved surface area of the cylinder
The inner curved surface of the cylinder = 2rh
= 2 x 
x 7 x 140000
= 2 x 22 x 1 x 140000
= 6160000
The inner curved surface of the cylinder is 6160000 square centimetre.
But, the cost of painting is at the rate of 10 DHS per square centimetre.
The inner curved surface of the cylinder = 6.16 x 
square centimetre.
cost of painting the inner curved surface area = 
= 616000 DHS per square centimetre
The cost of painting the inner surface is 616000 DHS per square centimetre.
You multiply 0.4 by 4.2 and that equals 1.68 so sumeet uses 1.68 gallons of gas in 4.2 hours.
Option B is correct
Why
3x=21
3(7) =21
21=21
Step-by-step explanation:
