9 is the answer
Step by step
....
After 2 hours, she was (62 mph -50 mph)*2h = 24 miles behind her trip average, so she had to make that distance up in the last 3 hours. That is, her average for the last 3 hours was (24 mi)/(3h) = 8 mph more than her trip average.
Jiamin averaged 62+8 = 70 mph for the last 3 hours of her trip.
In this question we have to find an angle between 0 and 2π that is coterminal with 10pi/3 .
To find the coterminal angle, we need to subtract 2 pi from 10 pi/3. That is
![= \frac{10 \pi }{3} - 2 \pi](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B10%20%5Cpi%20%7D%7B3%7D%20-%202%20%5Cpi)
Multiplying numerator and denominator of 2 pi by 3
![= \frac{10 \pi}{3} -\frac{6 \pi}{3} = \frac{4 \pi}{3}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B10%20%5Cpi%7D%7B3%7D%20-%5Cfrac%7B6%20%5Cpi%7D%7B3%7D%20%3D%20%5Cfrac%7B4%20%5Cpi%7D%7B3%7D)
And that's the required coterminal angle between 0 and 2pi.
<u>Answer:</u>
Tabitha will use 12 teaspoons.
<u>Explanation: </u>
According to the question, Tabitha has a largest volume-measuring tool teaspoon, and she wants to use one-fourth cup of broth.
Given that 1 cup consists of 16 tablespoons and 1 tablespoon has 3 teaspoons.
From the data, we can calculate that;
16 tablespoons will be equal to (3*16) = 48 teaspoons.
Therefore, 1 cup = 48 teaspoons.
Substituting the data and we can calculate that 1/4 cup = 48/4 = 12 teaspoons.