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4 years ago

Sherri bought 45 cupcakes for a party she was having. If 60% of the cupcakes, were chocolate, how many cupcakes were chocolate?

Mathematics

2 answers:

Veseljchak [2.6K]4 years ago

4 0

27 cupcakes were chocolate

djyliett [7]4 years ago

3 0

27 cupcakes were chocolate

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The independent variable would be how long he works out and the dependent variable would be how many calories he burns

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3 years ago

Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.

AlekseyPX

Answer:

$\frac{5\sqrt{2} }{2}$

Step-by-step explanation:

$x: \text{opposite side of the angle of 45\º}$

$5: \text{hypotenuse of the right triangle}$

$\sin(\theta)=\frac{\text{opp}}{\text{hyp}} \Rightarrow \sin(45\º)=\frac{x}{5}$

$\text{Once }\sin(45\º)=\frac{\sqrt{2} }{2}$

$\frac{\sqrt{2} }{2} =\frac{x}{5} \Rightarrow 2x=5\sqrt{2} \Rightarrow x=\frac{5\sqrt{2} }{2}$

You can just remember that 5 is the diagonal of a square of side length x.

$5=x\sqrt{2} \Rightarrow x=\frac{5}{\sqrt{2} } \Rightarrow x=\frac{5}{\sqrt{2} } \cdot \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2}$

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4 years ago

Are two pairs of congruent angles enough information to conclude that two triangles are similar

Brilliant_brown [7]

Yes, two pairs of congruent angles is enough information

7 0

3 years ago

Write the following as a complex number in the form a + bi square root -245

Pepsi [2]

Answer:

Step-by-step explanation:

√(-245)=√(49×5×i^2)=7√5 i=0+7√5 i

5 0

4 years ago

Read 2 more answers

What if the simplest form of the radical expression?

patriot [66]

Answer:

$\large\boxed{\dfrac{\sqrt2+\sqrt5}{\sqrt2-\sqrt5}=-\dfrac{7+2\sqrt{10}}{3}}$

Step-by-step explanation:

$\text{Use}\ (a-b)(a+b)=a^2-b^2\ \text{and}\ (a+b)^2=a^2+2ab+b^2\\\\\\\dfrac{\sqrt2+\sqrt5}{\sqrt2-\sqrt5}=\dfrac{\sqrt2+\sqrt5}{\sqrt2-\sqrt5}\cdot\dfrac{\sqrt2+\sqrt5}{\sqrt2+\sqrt5}=\dfrac{(\sqrt2+\sqrt5)^2}{(\sqrt2)^2-(\sqrt5)^2}\\\\=\dfrac{(\sqrt2)^2+2(\sqrt2)(\sqrt5)+(\sqrt5)^2}{2-5}=\dfrac{2+2\sqrt{(2)(5)}+5}{-3}\\\\=-\dfrac{7+2\sqrt{10}}{3}$

6 0

4 years ago