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makkiz [27]
3 years ago
12

Kelly has a recipe for muffins that asks for 1 1/2 cups of sugar. She wants to use half that amount of sugar. How much sugar wil

l she use?
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0

answer:

3/4 cups of sugar

Explanation:

turn 1 1/2 into a number which is 1.5 divide that by 2 which is .75 now turn that into a fraction and you get the answer 3/4 cups of sugar

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A cuz of how its functions
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Find sinϴ and cosϴ if tanϴ=1/4 and sinϴ>0
eduard
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2787701

_______________


\mathsf{tan\,\theta=\dfrac{1}{4}\qquad\qquad(sin\,\theta\ \textgreater \ 0)}\\\\\\
\mathsf{\dfrac{sin\,\theta}{cos\,\theta}=\dfrac{1}{4}}\\\\\\
\mathsf{4\,sin\,\theta=cos\,\theta\qquad\quad(i)}


Square both sides:

\mathsf{(4\,sin\,\theta)^2=(cos\,\theta)^2}\\\\
\mathsf{4^2\,sin^2\,\theta=cos^2\,\theta}\\\\
\mathsf{16\,sin^2\,\theta=cos^2\,\theta\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\
\mathsf{16\,sin^2\,\theta=1-sin^2\,\theta}

\mathsf{16\,sin^2\,\theta+sin^2\,\theta=1}\\\\
\mathsf{17\,sin^2\,\theta=1}\\\\
\mathsf{sin^2\,\theta=\dfrac{1}{17}}\\\\\\
\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{1}{17}}}\\\\\\
\mathsf{sin\,\theta=\pm\,\dfrac{1}{\sqrt{17}}}


Since \mathsf{sin\,\theta} is positive, you can discard the negative sign. So,

\mathsf{sin\,\theta=\dfrac{1}{\sqrt{17}}\qquad\quad\checkmark}


Substitute this value back into \mathsf{(i)} to find \mathsf{cos\,\theta:}

\mathsf{4\cdot \dfrac{1}{\sqrt{17}}=cos\,\theta}\\\\\\
\mathsf{cos\,\theta=\dfrac{4}{\sqrt{17}}\qquad\quad\checkmark}


I hope this helps. =)


Tags:   <em>trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus</em>

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3 years ago
PLEASE SHOW YOUR WORKING OUT
dimulka [17.4K]
0.8
you find how much he needed so:
24*0.3=7.2
than 8 he had , so whats left over
8-7.2=0.8
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3 years ago
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EASY 7TH GRADE MATH, WILL GET BRAINLIEST
Naddika [18.5K]

Answer:

C. $45

Step-by-step explanation:

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3 years ago
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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Alborosie

Answer:  tan(V)=2.92

Step-by-step explanation:

For this exercise you need to remember the following Trigonometric Identity:

tan\alpha =\frac{opposite}{adjacent}

You must observe the figure given in the exercise.

You can notice that the given triangle UVW is a Right triangle (because it has an angle that measures 90 degrees).

So, you can identify in the figure that:

\alpha =V\\\\opposite=UW=35\\\\adjacent=VW=12

Knowing these values, you can substitute them into  tan\alpha =\frac{opposite}{adjacent}:

tan(V)=\frac{35}{12}

Now you must evaluate:

tan(V)=2.916

Finally, rounding to the nearest hundreth, you get:

tan(V)=2.92

7 0
3 years ago
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