The two strands of Decorative light will shine at same time after every 15 seconds.
<h3>What is defined as the Highest common factor?</h3>
- The greatest of all their common factors is the Highest Common Factor (HCF) of more than one number.
- As a result, it is also known as the greatest common factor (GCF).
- There isn't an exact formula for determining the greatest common factor of two numbers.
- However, when considering prime factorization, we can write a statement that aids in evaluating the greatest common factor of more than one number.
The stated condition are-
The light strand one change color every 30 seconds.
The light strand second change color every 45 seconds.
Prime factorization of both number are;
30 = 2×3×5
45 = 3×3×5
The numbers with highest power are;
HCF(30, 45) = 3×5 = 15.
Thus, the time after which both the light strands will change colour at the same time is 15 seconds.
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Answer:16.8 cm^3
Step-by-step explanation:
If you multiply all of the dimension you get 16.8cm^3
Answer:
f(x) = -2.5x + 4
Step-by-step explanation:
If you go down 5 units and 2 units to the right then there is another point so the slope is -5/2 which is the same thing as -5 divided by 2. So it’s -2.5 as the slope and for the y- intercept, there is only one point on there and it is on 4. So the function is
f(x) = -2.5x + 4
I hope this helps
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Using proportions, it is found that the two cities are 27.5 miles apart.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
From the given scale, we have that <u>each inch of distance represents 10 miles</u>. Hence the distance in miles for a distance of 2 and 3/4 miles = 2.75 miles is given by:
D = 10 x 2.75 = 27.5 miles.
Hence, the two cities are 27.5 miles apart.
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Answer:
25 feet
Step-by-step explanation:
Basically that non-regulation tennis court is a rectangle. You want to know the length of the diagonal. If you draw it on paper, you'll see that this then become 2 triangles... of which you have 2 sides, and are seeking the hypotenuse. So....
H² = A² + B²
H² = 20² + 15² = 400 + 225 = 625
H = 25 feet.