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Answer:
Step-by-step explanation:
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Answer:
miles [or, 9.2 miles]
Step-by-step explanation:
<u>Complete Question:</u>
Christine runs 10 miles in 75 minutes. At the same rate, how many miles would she ru n in 69 minutes?
<u>Solution:</u>
We need to find the unit rate first and then find our answer. To get unit rate, we need to know the number of miles she runs in "1 minute". So, we will divide number of miles by number of minutes, that is given. Hence:
That means in 1 minute, Christine runs 2/15th of a mile.
Now, we want to know how many miles she will run in 69 minutes. We simply multiply unit rate (2/15) by the number of minutes (which is 69). Thus we have:
In decimal, doing division, that is 9.2 miles
The value of x, the length of the diagonal, to the nearest whole number is 5
To get the value of x from the given diagram, we will use the cosine rule as shown:
c² = a² + b² - 2ab cos Ф
From the given diagram;
a = 6
b = 4
Ф = 55 degrees
Substitute into the formula
c² = 6² + 4² - 2(4)(6)cos 55
c² = 36 + 16 - 48cos55
c² = 52 - 27.53
c² = 24.4
c = 4.94
c = 5 (to the nearest while number).
The value of x, the length of the diagonal, to the nearest whole number is 5
Learn more on cosine rule here: brainly.com/question/7872492
