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azamat
3 years ago
14

An instructional video is 7.8 minutes long is the video in second ? how long is it in hours?

Mathematics
1 answer:
ivolga24 [154]3 years ago
5 0
Second it’s 7 minutes and 8 sec long
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A palm tree is supported by two guy wires as shown in the diagram below. Which trig expression can be used to find the height on
Volgvan

Answer:

D. tan(30^\circ+45^\circ) is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

\angle DCB =45^\circ\\\angle ACB =75^\circ\\

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the \triangle ABC, we are given the base BC and the \angle ACB, and the perpendicular is to be find out.

We can use trigonometric identity:

tan\theta =\dfrac{Perpendicular}{Base}

tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft

Hence, D. tan(30^\circ+45^\circ) is the correct answer.

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3 years ago
Which of the following are possible solutions for the inequality ??
meriva
-1/2 and -2 would be the answer

This would be because when you plug these number instead of x the answer is equal to or less than 13
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Answer:

what do you want me to do actuallt the pic is Unclear?

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let a = (a1, a2) and b = (b1, b2) and c = (c1,c2) be three non zero vectors. if a1b2 - a2b1 is not equal to 0. then show three a
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Consider the contrapositive of the statement you want to prove.

The contrapositive of the logical statement

<em>p</em> ⇒ <em>q</em>

is

¬<em>q</em> ⇒ ¬<em>p</em>

In this case, the contrapositive claims that

"If there are no scalars <em>α</em> and <em>β</em> such that <em>c</em> = <em>α</em><em>a</em> + <em>β</em><em>b</em>, then <em>a₁b₂</em> - <em>a₂b₁</em> = 0."

The first equation is captured by a system of linear equations,

\begin{cases}c_1 = \alpha a_1 + \beta b_1\\ c_2 = \alpha a_2 + \beta b_2\end{cases}

or in matrix form,

\begin{pmatrix}c_1\\c_2\end{pmatrix} = \begin{pmatrix}a_1&b_1\\a_2&b_2\end{pmatrix}\begin{pmatrix}\alpha\\\beta\end{pmatrix}

If this system has no solution, then the coefficient matrix on the right side must be singular and its determinant would be

\begin{vmatrix}a_1&b_1\\a_2&b_2\end{vmatrix} = a_1b_2-a_2b_1 = 0

and this is what we wanted to prove. QED

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