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umka21 [38]
3 years ago
6

A sheet cake and a birthday cake are both made from the same batter. The sheet cake is in the shape of a rectangular prism that

is 12 inches long, 9 inches wide, and 2 inches tall. The birthday cake is in the shape of a cylinder with a base radius of 4.5 inches and a height of 4 inches.
If the sheet cake has a total of 3,600 calories, approximately how many calories are in the birthday cake?

a. 1,880
b. 2,960
c. 3,770
d. 4,240
Mathematics
2 answers:
NISA [10]3 years ago
7 0
Volume of the sheet cake:
V ( prism ) = 12 * 9 * 2 = 216 in³
Volume of the birthday cake:
V ( cylinder ) = r² * π * h = 4.5² * 3.14 * 4 = 254.34 in³
Then we will use the proportion :
216 : 254.34 = 36000 : x
216 x = 254.34 * 3600
216 x = 915,660
x = 915.660 : 216
x = 4,239.17 ≈ 4,240
Answer:
d. 4,240
skad [1K]3 years ago
4 0

Answer:

The answer is 4240

Step-by-step explanation:

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Step-by-step explanation:

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Which polynomial function has a leading coefficient of 1 and roots 21 and 31 with multiplicity 1?
schepotkina [342]

Answer:

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Step-by-step explanation:

A polynomial of order n has the following format:

f(x) = a(x - x_{0})(x - x_{1})...(x - x_{n-1})

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Leading coefficient of 1 and roots 21 and 31 with multiplicity 1

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So the correct answer is:

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8 0
3 years ago
If sin phi sin theta = 0.2 and sin phi cos theta = -0.3 and sin phi &gt; 0 what is theta ? Repeat for sin phi &lt; 0.
Rina8888 [55]

Answer:

θ = -33.69°

Step-by-step explanation:

For Φ>0 and Φ<0  (in general Φ≠nπ  where n is an integer), sin(Φ) ≠ 0

Dividing both equations:

\frac{sin(\phi) sin(\theta)}{sin(\phi)cos(\theta)} = tan(\theta) = 0.2/(-0.3)=-2/3\\

Therefore:

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The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)

Have a nice day!

3 0
3 years ago
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