Answer: 89.7 ft
<u>Step-by-step explanation:</u>
Find the arc length (s) of the semi-circle. Then divide that length by 7.
s = r · θ where r is the radius and θ is the angle in radians
s = (400 ÷ 2) · π <em>(radius is diameter divided by 2)</em>
= 200π
= 628.3
The length of the arc is 628.3 ft. Divide that by 7 to find the distance between each home.
628.3 ÷ 7 = 89.7
7:9 because there are 35 children and 10 adults. Add 35 and 10 you get 35:45 then you simplify the ratio to get 7:9.
Answer:
C. 150
Step-by-step explanation:
The number of people who took the test is unknown, so call it x.
34% of x liked the flavor.
51 people liked the flavor.
That means that 34% of x is equal to 51.
34% of x = 51
0.34x = 51
x = 51/0.34
x = 150
Answer: C. 150
There is only one way, a rectangle that is one block by 17 blocks. This is because the only factors of 17 are 1 and 17.
Answer:
1/8
Step-by-step explanation:
To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.
We can then rewrite the square root terms as follows:
√3/√8 = √(3) / √(2 * 2 * 2)
Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:
√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)
Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:
√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2
Finally, we can use the rules of division to simplify the expression even further:
√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)
Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:
√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8
Therefore, the simplified form of the expression √3/√8 is 1/8.
