Answer:
Step-by-step explanation:
Sting lights outlining the stage means that they will go around the perimeter, so we will need to find that. It gives us the area and the fact that the dimensions, length and width, will be whole numbers.
How do you find the area of a rectangle? you multiply length by width. So we need to find two numbers that multiply together to make 42. There re multiple pairs of numbers that do that, but the question is asking for what the least number of yards of string lights, so we need to find the values that make the perimeter the smallest.
Of course the perimeter is adding up all the sides. Since there are two lengths and two widths we can solve that like this
length + length + width + width
2* length + 2*width.
Now we just have to check all the options. What numbers multiply together to make 42?
2 and 21
6 and 7
14 and 3
Now we just have to check which gives the smallest perimeter
2*2 + 2*21 = 4 + 42 = 46
6*2 + 7*2 = 12 + 14 = 36
14*2 + 3*2 = 28 + 6 = 34
So the smallest perimeter is the second one, where one of the measurements is 6 yards and the other measurement is 7 yards. There's your answer.
Answer:
888300 people.
Step by step explanation:
We have been given that 32.9% of the 2,700,000 Chicago residents identified themselves as Black or African American in the 2010 census.
Let us find 32.9% of 2,700,000.
Therefore, 888300 people in the 2010 census are African American.
Answer:
1st and 3rd statements are true: 1) The inequality b=70<50 can be used to represent the situation and 2) The graph of the solution set will be shaded to the left.
Step-by-step explanation:
Lets look at this question step by step.
- Quinton has an average resting heart rate of 70 beats per minute so heart rate = 70
- His heart rate increases by fewer than 50 beats per minute so heart rate = <50 or 70<50
- B represents heart rate while running, so 70 is the average resting heart and after running the heart rate is b = 70<50.
Therefore, the first statement is true; The inequality b=70<50 can be used to represent the situation.
- <em>The inequality b-50<70 can be used to represent the situation.</em>
This cannot be true because as heart rate increases, it gets lesser than 50 so in this case, 50 is greater than 70 not lesser than 70.
Moreover, if we take 50 to the right side, it will be 70 + 50 = 120 which is wrong because b is supposed to be less than 50.
- <em>The graph of the solution set will be shaded to the left.</em>
This is true because b<50 and whenever there is a less than sign, the graph is shaded to the left.
- <em>A possible value for b is 120.</em>
- <em>A possible value for b is 140.</em>
These two statements cannot be true as be is supposed to be less than 50.
!!
Answer:
h=A*2b
Step-by-step explanation:
A=1/2bh
1/2bh=A
1/2bh÷1/2bh=A÷1/2bh (the 1/2b will cancel with the 1/2b on the left leaving h)
h=A*2b
Answer:
option a x²-25
Step-by-step explanation:
(x-5)²
x²-25