Answer:Average rate of movement = 6.67 km/h
Step-by-step explanation:
Therefore, the average rate of movement of the volcanic ash for the first 15 hours is 6.67 kilometers per hour.
Using the Pythagorean Theorem, we find that x = 10.
To find the value of x, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
In this case, the hypotenuse is x, and the legs are 6 and 8. Therefore, we can write the Pythagorean Theorem as follows:
x^2 = 6^2 + 8^2
x^2 = 36 + 64
x^2 = 100
x = sqrt(100)
Therefore, the value of x is 10.
Here is a more detailed explanation of the Pythagorean Theorem:
The Pythagorean Theorem is a mathematical formula that describes the relationship between the three sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In other words, if a right triangle has sides of length a, b, and c, where c is the hypotenuse (the longest side), then the following equation holds:
c^2 = a^2 + b^2
This equation can be used to find the length of any side of a right triangle, given the lengths of the other two sides.
For example, if we know the lengths of the legs of a right triangle, we can use the Pythagorean Theorem to find the length of the hypotenuse. Or, if we know the length of the hypotenuse and one of the legs, we can use the Pythagorean Theorem to find the length of the other leg.
The Pythagorean Theorem is one of the most important theorems in mathematics, and it has many applications in geometry, trigonometry, and physics. It is also used in many real-world applications, such as surveying, construction, and navigation.
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The system of linear equations that models the situation is given as follows:
As stated in the problem, the variables of the system are given as follows:
They washed 125 cars, hence the first equation is defined as follows:
x + y = 125.
They made $775 from a combination of $5.00 quick washes and $8.00 premium washes, hence the second equation is given as follows:
5x + 8y = 775.
The complete problem is described as follows:
"Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes."
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
The answer is indeed A.
Step-by-step explanation:
Answer:
The answer is 15 units is the answer boom
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Answer:
There is 120 milligrams of caffeine in a cup of coffee.
Step-by-step explanation:
A cup of brewed tea has 54 milligrams less caffeine than a cup of brewed coffee. A cup of tea has 66 milligrams of caffeine.
Let the amount of caffeine in a cup of coffee be = x
In the equation form, we can denote this as:
Solving for x
x = 120
Therefore, there is 120 milligrams of caffeine in a cup of coffee.
–12s2 – 2t2
–12s2 + 2t2
–12s2 + 8st – 2t2
–12s2 + 11st – 2t2