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MissTica
1 year ago
15

Maya wants to make a pyramid out of plaster for her social studies class. How much plasterdoes she need to make a rectangular py

ramid with the dimensions shown below?A11 in. +6 in.8 in.+Type the answer in the box.cubic inches

Mathematics
1 answer:
amid [387]1 year ago
4 0

The volume of the pyramid can be determined as,

V=\frac{1}{3}\times area\text{ of base}\times height

Substituting the given values,

\begin{gathered} V=\frac{1}{3}\times(8in\times6in)\times11in \\ =176in^3 \end{gathered}

Thus, the 176 cubic inches of plaster is required.

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Read 2 more answers
Let (-7, 2) be a point on the terminal side of 0.
nekit [7.7K]

By applying the definitions of <em>trigonometric</em> functions, the <em>exact</em> values of the sine, secant and tangent of the point on the <em>terminal</em> side are \sin \theta = \frac{2}{\sqrt{53}}, \sec \theta = -\frac{\sqrt{53}}{7} and \tan \theta = -\frac{2}{7}.

<h3>How to determine the exact values</h3>

In this question we need to find the exact values of three <em>trigonometric</em> functions associated with the <em>terminal</em> side of an angle. The following definitions are used:

Sine

\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}     (1)

Secant

\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}     (2)

Tangent

\tan \theta = \frac{y}{x}     (3)

If we know that x = - 7 and y = 2, then the exact values of the three <em>trigonometric</em> functions:

Sine

\sin \theta = \frac{2}{\sqrt{53}}

Secant

\sec \theta = -\frac{\sqrt{53}}{7}

Tangent

\tan \theta = -\frac{2}{7}

By applying the definitions of <em>trigonometric</em> functions, the <em>exact</em> values of the sine, secant and tangent of the point on the <em>terminal</em> side are \sin \theta = \frac{2}{\sqrt{53}}, \sec \theta = -\frac{\sqrt{53}}{7} and \tan \theta = -\frac{2}{7}.

<h3>Remark</h3>

The statement reports typing errors, correct form is shown below:

<em>Let (x, y) = (- 7, 2) be a point on the terminal side of θ. Find the exact value of sin θ, sec θ and tan θ.</em>

To learn more on trigonometric functions: brainly.com/question/6904750

#SPJ1

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