A homeowner has two rectangular structures in her backyard. The dimensions of the hot tub are 6 feet by 8 feet. The dimensions o
f the fire pit is 7 feet by 9 feet. The length of the square backyard is 20 feet. What area is the yard is not covered by the hot tub and there fire pit?
Question number 2 please!
Thank you in advance!
Question number 2 please!
Thank you in advance!
1 answer:
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Its not clearly given that whether EBF = 2x + 9 or 2x - 9.
I have written the solution for both.
If EBF = 2x + 9,
then ABF = 6x + 26 and ABE = 11x - 31.
Now, ABE = ABF + EBF
11x - 31 = (6x + 26) + (2x + 9)
= (6x + 2x) + (26 + 9)
= 8x + 35
11x - 8x = 35 + 31
3x = 66
x = 22
Therefore, ABF = 6x + 26 = 6(22) + 26 = 132 + 26 = 158°
If EBF = 2x - 9,
then ABF = 6x + 26 and ABE = 11x - 31.
Now, ABE = ABF + EBF
11x - 31 = (6x + 26) + (2x - 9)
= (6x + 2x) + (26 - 9)
= 8x + 17
11x - 8x = 17 + 31
3x = 48
x = 16
Therefore, ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°
Answer:
1. Typed question: 175 green eggs
2. Attached: 22 tables
Step-by-step explanation:
For the question you typed down, it is a ratio and proportion problem. You need to solve for the ratio proportional to the first ratio given.
4 blue eggs are filled for every 7 green. This means that the ratio between blue eggs and green eggs is 4:7.
Now yo need to figure out a ratio proportional to 4:7 if 100 blue eggs were filled. Below is how this is set up:
Now let's solve for x:
For your attached problem:
You have a total of 175 people, you need to figure out how many round tables you need if here are 8 chairs for each table You just need to divide the number of people by the number of chairs per table.
175 ÷ 8 = 21.9 tables
Now since you cannot have half a table, you round up to the nearest whole number. (we round up because you need to make sure that all of them are seated)
21.9 ≅ 22 tables.