Biased: I’m going to vote for savanna because she’s my best friend
Unbiased: I’m going to vote for Stacy because she is the best candidate for the school’s treasurer
You simply have to add the two numbers together, however, you have to convert everything into inches only. You know that there are 12 inches in one foot. To calculate the length of the longer slide, it is simply doing 12 feet TIMES 12 (since there are 12 inches in one foot). This makes 144 inches. Add 1/2 feet in there, this is adding 1/2 of 12 inches, which is 12/2=6 inches. The long slide is therefore 144+6= 150 inches. Now you want to convert 3 feet and 7 inches into inches only. 3 feet TIMES 12 = 3x12=36 inches. Add 7 inches to this, and you will get 36+7=43 inches. To know how long the small slide is, subtract 43 inches from 150 inches, and this will give you 150-43=107 inches. So, the small slide is 107 inches. :)
Answer:
Both figures have a perimeter of 112 inches.
Step-by-step explanation:
Question 5:
You are given a 6-sided shape, but only 4 sides. To find the perimeter, you need to account for the lengths of the other two sides. As all the angles are right angles, the length of the top horizontal side is equal to the combined length of the bottom two horizontal sides. Similarly the length of the left vertical side is equal to the combined length of the right two vertical sides. Because of this, you actually don't need to find the lengths of the unknown sides to answer the question.
This means the perimeter is:
Question 6:
Exactly the same process as above. Just double the longest vertical and horizontal sides (since the sum of the corresponding shorter sides is equal). You'll notice the longest horizontal side is 31, and the longest vertical side is 25...exactly the same as the previous question.
Therefore, the perimeter will again be 112 inches.
These two questions illustrate the difference between area and perimeter. Even though the perimeter of the two shapes is the same, the area of the second shape is larger than the area of the first.
Hello there,
Your correct answer would be the following:
1,2,5,6,
Your incorrect answer's would NOT be 3 and 4.
Hope this helps.
~Jurgen
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.
