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3 years ago

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Paul is making loaves of raisin bread to sell at a fundraiser event. The recipe calls for one third cup of raisins for each loaf

, and Paul has three and one fourth cups of raisins. How many cups of raisins will he have left over?

1 answer:

Dafna1 [17]3 years ago

7 0

He will have a fourth of a cup raisins left over<span />

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Answer: $\{-10, 0 \}$

Step-by-step explanation:

The range is the set of output values for the domain (the set of inputs).

When x=-5, y= $-(-5)^{2}-3(-5)=-10$ .
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When x=2, $y=-2^{2}-3(2)=-10$

So, the range is $\boxed{\{-10, 0 \}}$

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AB = 6 cm, AC = 12 cm, CD = ?

In triangle ABC, ∠CBA = 90°, therefore in triangle BCD ∠CBD = 90° also.

Since ∠BDC = 55°, ∠CBD = 90°, and there are 180 degrees in a triangle, we know ∠DCB = 180 - 55 - 90 = 35°

In order to find ∠BCA, use the law of sines:

sin(∠BCA)/BA = sin(∠CBA)/CA
sin(∠BCA)/6 cm = sin(90)/12 cm
sin(∠BCA) = 6*(1)/12 = 0.5
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Now add ∠BCA (30°) to ∠DCB = 35° to find ∠DCA.
∠DCA = 30 + 35 = 65°

Since triangle DCA has 180°, we know ∠CAD = 180 - ∠DCA - ∠ADC = 180 - 65 - 55 = 60°

In triangle DCA we now have all three angles and one side, so we can use the law of sines to find the length of DC.

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elixir [45]

Assume the parabola is placed on a graph where the x-axis is the top of the dish.
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