Step-by-step explanation:
1,239 + 8,568= 9,807 ≈ 10000
Answer:
Side length of each placement is 6 inches.
Step-by-step explanation:
Kelly is using a ribbon to trim two identical placements of length = 80 inches
Each placement is in the shape of a regular hexagon.
So perimeter of these regular hexagons = 2×(Sum of all 6 sides of a hexagon)
Let the side length of each regular hexagon = x inches
Total perimeter of these identical placements = 2(6x) = 12x
Perimeter of identical placements = Length of the ribbon used
12x = (80 - length of leftover ribbon)
12x = 80 - 8
x =
x = 6 inches
Therefore, side length of each placement is 6 inches.
Answer:
Step-by-step explanation:
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Two pair of numbers are said to be relatively prime if there is no integer greater than 1, that divides them both.
Consider the given pair of the numbers to identify which pair is relatively prime.
1. Consider 42 and 77
7 is the number which divides 42 and 77 both. Therefore, they are not relatively prime.
2. Consider 34 and 55
Since, there is no number greater than 1, which divides both the numbers. So, they are relatively prime numbers.
3. Consider 45 and 102
3 is the number divides 45 and 102 both. Therefore, they are not relatively prime.
4. Consider 99 and 123
3 is the number divides 99 and 123 both. Therefore, they are not relatively prime.
Therefore, Option B is the correct answer.
Answer:
perimeter = 6 + 3√2 ft
Explanation:
The triangle given is an isosceles right-angled triangle.
This means that two of its legs are equal = 3 ft
Now, we will get the length of the third leg which is the hypotenuse using the Pythagorean theorem as follows:
(third leg)^2 = (3)^2 + (3)^2
(third leg)^2 = 18
third leg = sqrt(18) = 3√2 ft
Finally, we will get the perimeter as follows:
perimeter = 3 + 3 + 3√2
perimeter = 6 + 3√2 ft
Hope this helps :)