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saw5 [17]
3 years ago
8

Dale and 2 friends share one fourth of a cake. Each piece is the same size. Dale believes each piece of cake has an angle measur

e of 45°. Is Dale correct?
Mathematics
2 answers:
77julia77 [94]3 years ago
7 0

Answer:

dale is incorrect

Kisachek [45]3 years ago
6 0

Answer:

dale is not correct

the correct angle is 30 degrees

Step-by-step explanation:

A cake is shaped like a circle

the total sum of angles in a circle is 360 degrees

If Dale and 2 friends share one fourth of a cake, the total angles they share = (1/4) X 360 = 90 degrees

If the 3 friends share the cake equally, the angles each get = (1/3) x 90 = 30 degrees

the correct angle is 30 degrees and not 45 degrees. Thus, Dale is wrong

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2 years ago
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noname [10]

Answer:

\boxed{\text{A. }\math{\left \{ x \, | \, x \in \mathbb{R}, x < -2 \right \}}}}

Step-by-step explanation:

The open circle means that the point is not included in the solution set, and the arrow pointing left means that all numbers less than -2 are members.

In set-builder notation, each term has a special meaning. The braces enclose the members of the set.

Here's how you translate the notation,

\begin{array}{rcl}\\\left \{ & = & \text{The set of}\\x & = & \text{all x values}\\| & = &\text{such that}\\x & = & x\\\in & = &\text{is a member of}\\\mathbb{R}, & = &\text{all real numbers, and}\\x < -2 & = & \text{x is less than -2}\\\end{array}\\\text{The answer is }\boxed{\textbf{A. }\mathbf{\left \{ x \, | \, x \in \mathbb{R}, x < -2 \right \} }}}

3 0
3 years ago
Help&amp;EXPLAIN <br><br> Don’t use for points or will be reported and I’ll take the points back
Margarita [4]

Answer

An equilateral.

Step-by-step explanation:

The degrees are the same and so 60=60=60. The triangle is a equilateral.

6 0
3 years ago
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Vlad1618 [11]

Answer:

  • The measure of reference angle is 30^{\circ}.
  • \cos \theta=\frac{\sqrt{3}}{2}

Step-by-step explanation:

Converting \theta to degrees,

\theta=\left(\frac{11\pi}{6} \right) \left(\frac{180}{\pi} \right)=330^{\circ}

This means \theta lies in Quadrant 4, and thus its reference angle is 360^{\circ}-330^{\circ}=\boxed{30^{\circ}}

Since \theta lies in the fourth quadrant, \sin \theta and \tan \theta are negative.

Since \theta lies in the fourth quadrant, \cos \theta is positive, and is equal to \cos (30^{\circ})=\boxed{\frac{\sqrt{3}}{2}}

3 0
2 years ago
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