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3 years ago

a bread recipe calls for ⅓ cup of butter you want to make ½ of a batch. how much butter do you need?

Mathematics

1 answer:

Reil [10]3 years ago

4 0

Answer:

1/6

Step-by-step explanation:

if 1/3 is for a whole batch and you want to make a half batch. So, divide 1/3 by 2.

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Use the right triangle shown to answer the question.

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Step-by-step explanation:

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3 years ago

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Find the exact value of each trigonometric function for the given angle θ.

Kay [80]

Answer:

$\sin (240^\circ)=-\dfrac{\sqrt{3}}{2},\cos (240^\circ)=-\dfrac{1}{2},\tan (240^\circ)=\sqrt{3},\cot (240^\circ)=\dfrac{1}{\sqrt{3}},\sec (240^\circ)=-2,\csc (240^\circ)=\dfrac{2}{\sqrt{3}}.$

Step-by-step explanation:

The given angle is 240 degrees.

We need to find the exact value of each trigonometric function for the given angle θ.

Since $\theta=240$ , it means θ lies in 3rd quadrant. In 3d quadrant only tan and cot are positive.

$\sin (240^\circ)=\sin (180^\circ+60^\circ)=-\sin (60^\circ)=-\dfrac{\sqrt{3}}{2}$

$\cos (240^\circ)=\cos (180^\circ+60^\circ)=-\cos (60^\circ)=-\dfrac{1}{2}$

$\tan (240^\circ)=\tan (180^\circ+60^\circ)=\tan (60^\circ)=\sqrt{3}$

$\cot (240^\circ)=\cot (180^\circ+60^\circ)=\cot (60^\circ)=\dfrac{1}{\sqrt{3}}$

$\sec (240^\circ)=\sec (180^\circ+60^\circ)=-\sec (60^\circ)=-2$

$\csc (240^\circ)=\csc (180^\circ+60^\circ)=-\csc (60^\circ)=-\dfrac{2}{\sqrt{3}}$

Therefore, $\sin (240^\circ)=-\dfrac{\sqrt{3}}{2},\cos (240^\circ)=-\dfrac{1}{2},\tan (240^\circ)=\sqrt{3},\cot (240^\circ)=\dfrac{1}{\sqrt{3}},\sec (240^\circ)=-2,\csc (240^\circ)=-\dfrac{2}{\sqrt{3}}.$

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3 years ago

Translate this sentence into an equation. The product of Rita's savings and 9 is 153. Use the variable r to represent Rita's sav

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The equation: 9r = 153

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3 years ago

What is the x value when g(x)=1 PLS HELP

olga_2 [115]

Answer:

I believe the answer is x=1.

Step-by-step explanation:

I am a bit confused on what is wanted, but g(x) is the x value on the line g. so when g(x)=1, I think x=1 on the line g.

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3 years ago

When a plane flies into the wind, it can travel 3000 ml in 6 h . When it flies with the wind, it can travel the same distance in

jeka94

Answer:

plane: 550 mph
wind: 50 mph

Step-by-step explanation:

If p and w represent the speeds of the plane and wind, respectively, the speed into the wind is ...

p - w = (3000 mi)/(6 h) = 500 mi/h

And, the speed with the wind is ...

p + w = (3000 mi)/(5 h) = 600 mi/h

Adding these two equations gives us ...

2p = 1100 mi/h

p = 550 mi/h . . . . . . . divide by 2

Then the wind speed is ...

w = 600 mi/h - p = (600 -550) mi/h

w = 50 mi/h

The rate of the plane in still air is 550 mi/h; the rate of the wind is 50 mi/h.

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a bread recipe calls for ⅓ cup of butter you want to make ½ of a batch. how much butter do you need?​

a bread recipe calls for ⅓ cup of butter you want to make ½ of a batch. how much butter do you need?