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slamgirl [31]
4 years ago
14

chef leo will use a total of 6 1/4 cups of sugar to make 3 chocolate cakes. if each cake recipe requires the same amount of suga

r, how much sugar is required for one chocolate cake?

Mathematics
1 answer:
Feliz [49]4 years ago
7 0

a. because to divide 6 1/4 and 3 you need to make the improper fraction a mixed number so the equation is 25/4  /  3/1  then you get the recipricol of 3 witch is 1/3 then you multiply 1/3 x 25/4  whitch is 25/12=2 1/12

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3 years ago
A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an
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Answer:

\cos\theta=\frac{10}{\sqrt{116}}

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

\cos\theta is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let c represent the length of the hypotenuse):

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Thus, we know the adjacent is 10, and the hypotenuse is \sqrt{116}. This means \cos\theta=\frac{10}{\sqrt{116}}.

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Answer:

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