Frieda friendly works for a local car dealership. she noticed that 3/4 of the cars were sedans and that half of them are white.
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Answer:
Step-by-step explanation:
Begin by squaring both sides to get rid of the radical. Doing that gives you:
Now use the Pythagorean identity that says
and make the replacement:
. Now move everything over to one side of the equals sign and set it equal to 0 so you can factor:
and then simplify to
Factor out the common cos(x) to get
and there you have your 2 trig equations:
cos(x) = 0 and 1 - cos(x) = 0
The first one is easy enough to solve. Look on the unit circle and see where, one time around, where the cos of an angle is equal to 0. That occurs at
The second equation simplifies to
cos(x) = 1
Again, look to the unit circle and find where the cos of an angle is equal to 1. That occurs at π only.
So, in the end, your 3 solutions are
The proportion of the recipe required to make the grocery list is obtained from the recipe for the beans soup.
The grocery list is therefore;
- <u>15 cups of honey beans</u>
- <u>9 cups carrots</u>
- <u>12 cups cherry tomato</u>
- <u>192 oz. vegetable broth</u>
- <u>10.5 cup turnips</u>
- <u>6 teaspoon salt</u>
- <u>8 cups potato onions</u>
- <u>1.25 teaspoons thyme</u>
- <u>12 teaspoons garlic</u>
Reason:
Amounts of beans soup Sam wants to make = 4 gallons
<em>The recipe for the beans soup is as follows as obtained from an online home work document are</em>;
<em>Vegetable Bean Soup that Serves 4 with volume of 0.</em><em> gallons</em>
<em>1.25 cups of honey beans</em>
<em>0.75 cup carrots</em>
<em>1 cup cherry tomato</em>
<em>16 oz. vegetable broth</em>
<em>0.875 cup turnips</em>
<em>0.5 teaspoon salt</em>
<em /><em> cup potato onions</em>
<em>0.125 teaspoon thyme</em>
<em>1 teaspoon garlic</em>
The amount of each ingredient Sam needs is given by the ratio of amount of soup Sam wants to make and the given amount of soup made by the ingredients as follows;
Therefore, Sam has to buy twelve times the amount of each ingredient as follows;
Vegetable Bean Soup that Serves 4 with volume of 0. gallons
12 × 1.25 = 15 cups of honey beans
12 × 0.75 = 9 cups of carrots
12 × 1 = 12 cups of cherry tomato
12 × 16 = 192 oz. vegetable broth
12 × 0.875 = 10.5 cup turnips
12 × 0.5 = 6 teaspoon salt
12 × = 8 cups of potato onions
12 × 0.125 = 1.25 teaspoons thyme
12 × 1 = 12 teaspoons garlic
The grocery list is therefore;
- 15 cups of honey beans
- 9 cups carrots
- 12 cups cherry tomato
- 192 oz. vegetable broth
- 10.5 cup turnips
- 6 teaspoon salt
- 8 cups potato onions
- 1.25 teaspoons thyme
- 12 teaspoons garlic
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