Answer:
a) 7 equal sized pieces of 3/8 pounds
7* 3/8 = 21/8
b) 3 equal sized pieces of 7/8 pounds
3* 7/8 = 21/8
Step-by-step explanation:
Martin has 2 5/8 pounds of ground beef.
2 5/8 = 21/8 pounds = 2.625 pounds
Because 21 is divisible by 3 and 7, we can arrange the ground beef in two configurations
a) 7 equal sized pieces of 3/8 pounds
7* 3/8 = 21/8
b) 3 equal sized pieces of 7/8 pounds
3* 7/8 = 21/8
It is about 0.298% as calculated by my TI-83/84 work-alike.
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.
To estimate the volume of Thai triangular prism you will use the formula for finding the volume.
V=Bh, where B is the area of the base and h is the height of the prism.
V = (1/2 x 12.6 x 1.6) x 10.75
V = 108.36 cubic mm
You answer is approximately 108 cubic millimeters.
Answer:
∠2 = 41°
Step-by-step explanation:
∠2 + 49° + 90° = 180°
∠2 + 139° = 180°
∠2 = 180° - 139°
∠2 = 41°
